* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (- (* (+ 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 / 1 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] 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 (+ (* 1/2 (pow n 2)) (log n))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 n)) (log (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (- (- (log n))) into (log n) * [misc]backup-simplify: Simplify (+ (- (log n)) (log n)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 n) 3)) (+ (* -1/2 (pow (/ 1 n) 2)) (* 1 (/ 1 n)))) into (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- n))) (log (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- (- (log -1) (log n))) into (- (log n) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log n)) (- (log n) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- n)) 3)) (+ (* -1/2 (pow (/ 1 (- n)) 2)) (* -1 (/ 1 (- n))))) into (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [enter]simplify: Simplifying (fma (- (cbrt (log n))) (* (cbrt (log n)) (cbrt (log n))) (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (sqrt (log n)) (sqrt (log n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [enter]simplify: Simplifying (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p n)) (cbrt (log1p n))) (cbrt (log1p n)) (- (* (log n) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [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)) * [exit]simplify: Simplified to (- (log n) (log n)) * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [enter]simplify: Simplifying (fma (- (cbrt (log n))) (* (cbrt (log n)) (cbrt (log n))) (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (sqrt (log n)) (sqrt (log n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [enter]simplify: Simplifying (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p n)) (sqrt (log1p n)) (- (* (log n) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [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)) * [exit]simplify: Simplified to (- (log n) (log n)) * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p n) (- (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [enter]simplify: Simplifying (fma (- (cbrt (log n))) (* (cbrt (log n)) (cbrt (log n))) (* (cbrt (log n)) (* (cbrt (log n)) (cbrt (log n))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p n) (- (* (sqrt (log n)) (sqrt (log n))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [enter]simplify: Simplifying (fma (- (sqrt (log n))) (sqrt (log n)) (* (sqrt (log n)) (sqrt (log n)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p n) (- (* (log n) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [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)) * [exit]simplify: Simplified to (- (log n) (log n)) * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log1p n) (log n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p n) (log n))) * [exit]simplify: Simplified to (expm1 (- (log1p n) (log n))) * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log1p n) (log n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (- (log1p n) (log n))) * [exit]simplify: Simplified to (log1p (- (log1p n) (log n))) * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log n)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log n)) * [exit]simplify: Simplified to (- (log n)) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log n)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log n)) * [exit]simplify: Simplified to (- (log n)) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log n)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log n)) * [exit]simplify: Simplified to (- (log n)) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 n) n) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ n 1) n) * [exit]simplify: Simplified to (/ (+ n 1) n) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p n)) n) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (exp (log1p n)) n) * [exit]simplify: Simplified to (/ (exp (log1p n)) n) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log1p n) (log n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log (- (log1p n) (log n))) * [exit]simplify: Simplified to (log (- (log1p n) (log n))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log1p n) (log n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (exp (log1p n)) n) * [exit]simplify: Simplified to (/ (exp (log1p n)) n) * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log1p n) (log n))) (cbrt (- (log1p n) (log n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p n) (log n))) (cbrt (- (log1p n) (log n)))) * [exit]simplify: Simplified to (* (cbrt (- (log1p n) (log n))) (cbrt (- (log1p n) (log n)))) * [enter]simplify: Simplifying (cbrt (- (log1p n) (log n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p n) (log n))) * [exit]simplify: Simplified to (cbrt (- (log1p n) (log n))) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log1p n) (log n)) (- (log1p n) (log n))) (- (log1p n) (log n))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (pow (- (log1p n) (log n)) 3) * [exit]simplify: Simplified to (pow (- (log1p n) (log n)) 3) * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log1p n) (log n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p n) (log n))) * [exit]simplify: Simplified to (sqrt (- (log1p n) (log n))) * [enter]simplify: Simplifying (sqrt (- (log1p n) (log n))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p n) (log n))) * [exit]simplify: Simplified to (sqrt (- (log1p n) (log n))) * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p n) 3) (pow (log n) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (fma (* (log n) (log n)) (- (log n)) (pow (log1p n) 3)) * [exit]simplify: Simplified to (fma (* (log n) (log n)) (- (log n)) (pow (log1p n) 3)) * [enter]simplify: Simplifying (+ (* (log1p n) (log1p n)) (+ (* (log n) (log n)) (* (log1p n) (log n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (fma (+ (log n) (log1p n)) (log n) (* (log1p n) (log1p n))) * [exit]simplify: Simplified to (fma (+ (log n) (log1p n)) (log n) (* (log1p n) (log1p n))) * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log n)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log n)) * [exit]simplify: Simplified to (- (log n)) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log1p n) (log1p n)) (* (log n) (log n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (+ (log n) (log1p n)) (- (log1p n) (log n))) * [exit]simplify: Simplified to (* (+ (log n) (log1p n)) (- (log1p n) (log n))) * [enter]simplify: Simplifying (+ (log1p n) (log n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (+ (log1p n) (log n)) * [exit]simplify: Simplified to (+ (log1p n) (log n)) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log1p n)) (sqrt (log n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (sqrt (log n)) (sqrt (log1p n))) * [exit]simplify: Simplified to (+ (sqrt (log n)) (sqrt (log1p n))) * [enter]simplify: Simplifying (- (sqrt (log1p n)) (sqrt (log n))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p n)) (sqrt (log n))) * [exit]simplify: Simplified to (- (sqrt (log1p n)) (sqrt (log n))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p n) (log n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- (log1p n) (log n)) * [exit]simplify: Simplified to (- (log1p n) (log n)) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log n)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log n)) * [exit]simplify: Simplified to (- (log n)) * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma n (- n (+ (* 1/2 (pow n 2)) (log n))) (- (log1p n) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (fma (- n (fma (* n n) 1/2 (log n))) n (- (log1p n) 1)) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma n (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) (- (log1p n) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma n (- (+ (* 1/3 (/ 1 (pow n 3))) (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) (- (log1p n) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p 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 / 2 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1 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: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1) in n * [misc]taylor: Taking taylor expansion of (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1/3 n) (/ 1 n) 1) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1/3 n) (/ 1 n)) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1/3 n) (/ 1 n)) 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 n) in n * [misc]taylor: Taking 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 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 n) (- 1/2) (log1p n)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 n) (- 1/2)) (log1p n)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (- 1/2)) 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 (- 1/2) in n * [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 (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 (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1) in n * [misc]taylor: Taking taylor expansion of (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1/3 n) (/ 1 n) 1) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1/3 n) (/ 1 n)) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1/3 n) (/ 1 n)) 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 n) in n * [misc]taylor: Taking 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 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 n) (- 1/2) (log1p n)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 n) (- 1/2)) (log1p n)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (- 1/2)) 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 (- 1/2) in n * [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 (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 1) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) 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 (- (+ (* 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1/2))) 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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 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 n) (+ (* -1/2 (/ 1 n)) (* 1/3 (pow (/ 1 n) 2)))) into (- (+ n (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) * [misc]approximate: Taking taylor expansion of (- (+ (fma (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n)) 1) (fma (/ 1 (/ 1 n)) (- 1/2) (log1p (/ 1 n)))) 1) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (fma (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n)) 1) (fma (/ 1 (/ 1 n)) (- 1/2) (log1p (/ 1 n)))) 1) in n * [misc]taylor: Taking taylor expansion of (+ (fma (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n)) 1) (fma (/ 1 (/ 1 n)) (- 1/2) (log1p (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n)) 1) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n))) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n))) 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 (/ 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 n)) (- 1/2) (log1p (/ 1 n))) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 n)) (- 1/2)) (log1p (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (- 1/2)) in n * [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 (- 1/2) in n * [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 (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 (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n)) 1) (fma (/ 1 (/ 1 n)) (- 1/2) (log1p (/ 1 n)))) 1) in n * [misc]taylor: Taking taylor expansion of (+ (fma (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n)) 1) (fma (/ 1 (/ 1 n)) (- 1/2) (log1p (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n)) 1) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n))) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1/3 (/ 1 n)) (/ 1 (/ 1 n))) 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 (/ 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 n)) (- 1/2) (log1p (/ 1 n))) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 n)) (- 1/2)) (log1p (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (- 1/2)) in n * [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 (- 1/2) in n * [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 (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) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ 0 (- (log n))) into (- (log n)) * [misc]backup-simplify: Simplify (+ 1 (- (log n))) into (- 1 (log n)) * [misc]backup-simplify: Simplify (- 1) into -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) 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 (+ -1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 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 (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -1/2)) 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 (/ (+ (* -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 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 1/3 -1/2) into -1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/6 0) 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)) (+ (log (/ 1 n)) (* 1/6 (/ 1 (pow n 2))))) * [misc]approximate: Taking taylor expansion of (- (+ (fma (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n))) 1) (fma (/ 1 (/ 1 (- n))) (- 1/2) (log1p (/ 1 (- n))))) 1) in (n) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (fma (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n))) 1) (fma (/ 1 (/ 1 (- n))) (- 1/2) (log1p (/ 1 (- n))))) 1) in n * [misc]taylor: Taking taylor expansion of (+ (fma (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n))) 1) (fma (/ 1 (/ 1 (- n))) (- 1/2) (log1p (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n))) 1) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n)))) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n)))) 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 (/ 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- n))) (- 1/2) (log1p (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- n))) (- 1/2)) (log1p (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (- 1/2)) in n * [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 (- 1/2) in n * [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 (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 (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n))) 1) (fma (/ 1 (/ 1 (- n))) (- 1/2) (log1p (/ 1 (- n))))) 1) in n * [misc]taylor: Taking taylor expansion of (+ (fma (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n))) 1) (fma (/ 1 (/ 1 (- n))) (- 1/2) (log1p (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n))) 1) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n)))) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1/3 (/ 1 (- n))) (/ 1 (/ 1 (- n)))) 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 (/ 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 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- n))) (- 1/2) (log1p (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- n))) (- 1/2)) (log1p (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (- 1/2)) in n * [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 (- 1/2) in n * [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 (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) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ 0 (- (log -1) (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ 1 (- (log -1) (log n))) into (- (+ 1 (log -1)) (log n)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log n)) -1) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (- (log -1) (log n)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (* -1 -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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -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 (* -1/3 -1) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1/2)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 1/3 -1/2) into -1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/6 0) 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 (- (+ (* 1/2 (/ 1 n)) (log -1)) (+ (log (/ -1 n)) (* 1/6 (/ 1 (pow n 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ 1/3 n)) * [exit]simplify: Simplified to (expm1 (/ 1/3 n)) * * * * [misc]progress: [ 2 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ 1/3 n)) * [exit]simplify: Simplified to (log1p (/ 1/3 n)) * * * * [misc]progress: [ 3 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ 1/3 n)) * [exit]simplify: Simplified to (log (/ 1/3 n)) * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ 1/3 n)) * [exit]simplify: Simplified to (exp (/ 1/3 n)) * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1/3 n)) (cbrt (/ 1/3 n))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 n)) (cbrt (/ 1/3 n))) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 n)) (cbrt (/ 1/3 n))) * [enter]simplify: Simplifying (cbrt (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 1/3 n)) * [exit]simplify: Simplified to (cbrt (/ 1/3 n)) * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1/3 n) (/ 1/3 n)) (/ 1/3 n)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ 1/3 n) 3) * [exit]simplify: Simplified to (pow (/ 1/3 n) 3) * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 n)) * [exit]simplify: Simplified to (sqrt (/ 1/3 n)) * [enter]simplify: Simplifying (sqrt (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 n)) * [exit]simplify: Simplified to (sqrt (/ 1/3 n)) * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/3) * [exit]simplify: Simplified to (- 1/3) * [enter]simplify: Simplifying (- n) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- n) * [exit]simplify: Simplified to (- n) * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [exit]simplify: Simplified to (/ 1 n) * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ n 1/3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ n 1/3) * [exit]simplify: Simplified to (/ n 1/3) * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * [exit]simplify: Simplified to (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (log1p (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * [exit]simplify: Simplified to (log1p (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 38 ] 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) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 17 / 38 ] 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) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 18 / 38 ] 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) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 19 / 38 ] 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) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (log (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * [exit]simplify: Simplified to (log (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (exp (+ (fma (/ 1 n) (/ 1/3 n) 0) (- (log1p n) (/ 1/2 n)))) * [exit]simplify: Simplified to (exp (+ (fma (/ 1 n) (/ 1/3 n) 0) (- (log1p n) (/ 1/2 n)))) * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) (cbrt (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) (cbrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * [exit]simplify: Simplified to (* (cbrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) (cbrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * [enter]simplify: Simplifying (cbrt (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * [exit]simplify: Simplified to (cbrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1) (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * [exit]simplify: Simplified to (pow (- (fma (/ 1 n) (- 1/2) (log1p n)) (- 1 (fma (/ 1 n) (/ 1/3 n) 1))) 3) * [exit]simplify: Simplified to (pow (- (fma (/ 1 n) (- 1/2) (log1p n)) (- 1 (fma (/ 1 n) (/ 1/3 n) 1))) 3) * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * [exit]simplify: Simplified to (sqrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * [enter]simplify: Simplifying (sqrt (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * [exit]simplify: Simplified to (sqrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (fma (* (- (fma (/ 1 n) (/ 1/3 n) 1) (- (/ 1/2 n) (log1p n))) (- (fma (/ 1 n) (/ 1/3 n) 1) (- (/ 1/2 n) (log1p n)))) (- (fma (/ 1 n) (/ 1/3 n) 1) (- (/ 1/2 n) (log1p n))) (- 1)) * [exit]simplify: Simplified to (fma (* (- (fma (/ 1 n) (/ 1/3 n) 1) (- (/ 1/2 n) (log1p n))) (- (fma (/ 1 n) (/ 1/3 n) 1) (- (/ 1/2 n) (log1p n)))) (- (fma (/ 1 n) (/ 1/3 n) 1) (- (/ 1/2 n) (log1p n))) (- 1)) * [enter]simplify: Simplifying (+ (* (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n)))) (+ (* 1 1) (* (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (+ (fma (+ (fma (/ 1 n) (- 1/2) (log1p n)) (fma (/ 1 n) (/ 1/3 n) 1)) (+ (fma (/ 1 n) (- 1/2) (log1p n)) (fma (/ 1 n) (/ 1/3 n) 1)) (+ (fma (/ 1 n) (- 1/2) (log1p n)) (fma (/ 1 n) (/ 1/3 n) 1))) 1) * [exit]simplify: Simplified to (+ (fma (+ (fma (/ 1 n) (- 1/2) (log1p n)) (fma (/ 1 n) (/ 1/3 n) 1)) (+ (fma (/ 1 n) (- 1/2) (log1p n)) (fma (/ 1 n) (/ 1/3 n) 1)) (+ (fma (/ 1 n) (- 1/2) (log1p n)) (fma (/ 1 n) (/ 1/3 n) 1))) 1) * * * * [misc]progress: [ 27 / 38 ] 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) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n)))) (* 1 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (fma (+ (- (log1p n) (/ 1/2 n)) (fma (/ 1/3 n) (/ 1 n) 1)) (+ (- (log1p n) (/ 1/2 n)) (fma (/ 1/3 n) (/ 1 n) 1)) (- 1)) * [exit]simplify: Simplified to (fma (+ (- (log1p n) (/ 1/2 n)) (fma (/ 1/3 n) (/ 1 n) 1)) (+ (- (log1p n) (/ 1/2 n)) (fma (/ 1/3 n) (/ 1 n) 1)) (- 1)) * [enter]simplify: Simplifying (+ (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) (+ (+ 1 1) (log1p n))) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) (+ (+ 1 1) (log1p n))) * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (+ (sqrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (+ (log1p n) 1))) 1) * [exit]simplify: Simplified to (+ (sqrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (+ (log1p n) 1))) 1) * [enter]simplify: Simplifying (- (sqrt (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (- (sqrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (+ (log1p n) 1))) 1) * [exit]simplify: Simplified to (- (sqrt (fma (/ 1 n) (- (/ 1/3 n) 1/2) (+ (log1p n) 1))) 1) * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (/ 1 n) (- 1/2) (log1p n)) 1) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (- (- (log1p n) (/ 1/2 n)) 1) * [exit]simplify: Simplified to (- (- (log1p n) (/ 1/2 n)) 1) * * * * [misc]progress: [ 32 / 38 ] 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) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (fma (/ 1/3 n) (/ 1 n) 1) (fma (/ 1 n) (- 1/2) (log1p n))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ n (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) n) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 n)) (+ (log (/ 1 n)) (* 1/6 (/ 1 (pow n 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n)) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 n)) (log -1)) (+ (log (/ -1 n)) (* 1/6 (/ 1 (pow n 2))))) * * [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 (176 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- 1/2 (/ 1/6 n)) (log n)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) in n * [misc]taylor: Rewrote expression to (- (exp (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) 1) * [misc]taylor: Taking taylor expansion of (exp (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 n) (- (/ 1/3 n) 1/2)) (log1p n)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (- (/ 1/3 n) 1/2)) 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 (- (/ 1/3 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 (log1p n) in n * [misc]taylor: Rewrote expression to (log (+ 1 n)) * [misc]taylor: Taking taylor expansion of (+ 1 n) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (exp (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) into (exp (fma (/ 1 n) (- (* 1/3 (/ 1 n)) 1/2) (log1p n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) in n * [misc]taylor: Rewrote expression to (- (exp (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) 1) * [misc]taylor: Taking taylor expansion of (exp (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 n) (- (/ 1/3 n) 1/2)) (log1p n)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (- (/ 1/3 n) 1/2)) 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 (- (/ 1/3 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 (log1p n) in n * [misc]taylor: Rewrote expression to (log (+ 1 n)) * [misc]taylor: Taking taylor expansion of (+ 1 n) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (exp (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) into (exp (fma (/ 1 n) (- (* 1/3 (/ 1 n)) 1/2) (log1p n))) * [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 (+ (exp (fma (/ 1 n) (- (* 1/3 (/ 1 n)) 1/2) (log1p n))) -1) into (- (exp (fma (/ 1 n) (- (* 1/3 (/ 1 n)) 1/2) (log1p n))) 1) * [misc]backup-simplify: Simplify (- (exp (fma (/ 1 n) (- (* 1/3 (/ 1 n)) 1/2) (log1p n))) 1) into (- (exp (fma (/ 1 n) (- (* 1/3 (/ 1 n)) 1/2) (log1p n))) 1) * [misc]backup-simplify: Simplify (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (fma (/ 1 n) (- (* 1/3 (/ 1 n)) 1/2) (log1p n))) 1) into (- (exp (fma (/ 1 n) (- (* 1/3 (/ 1 n)) 1/2) (log1p n))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (fma (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2) (log1p (/ 1 n)))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (fma (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2) (log1p (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (- (exp (fma (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2) (log1p (/ 1 n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (fma (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2) (log1p (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2) (log1p (/ 1 n))) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2)) (log1p (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2)) in n * [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 (- (/ 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 (log1p (/ 1 n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ 0 (- (log n))) into (- (log n)) * [misc]backup-simplify: Simplify (exp (- (log n))) into (exp (- (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (fma (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2) (log1p (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (- (exp (fma (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2) (log1p (/ 1 n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (fma (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2) (log1p (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2) (log1p (/ 1 n))) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2)) (log1p (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (- (/ 1/3 (/ 1 n)) 1/2)) in n * [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 (- (/ 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 (log1p (/ 1 n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ 0 (- (log n))) into (- (log n)) * [misc]backup-simplify: Simplify (exp (- (log n))) into (exp (- (log n))) * [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 (+ (exp (- (log n))) -1) into (- (exp (- (log n))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log n))) 1) into (- (exp (- (log n))) 1) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) 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 (+ -1/2 1) into 1/2 * [misc]backup-simplify: Simplify (* (exp (- (log n))) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 (exp (- (log n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (- (log n)))) 0) into (* 1/2 (exp (- (log n)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (- (log n)))) into (* 1/2 (exp (- (log n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) 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 (+ 1/3 -1/2) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log n))) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/24 (exp (- (log n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/24 (exp (- (log n)))) 0) into (- (* 1/24 (exp (- (log n))))) * [misc]backup-simplify: Simplify (- (* 1/24 (exp (- (log n))))) into (- (* 1/24 (exp (- (log n))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/24 (exp (- (log (/ 1 n)))))) (pow (/ 1 n) 2)) (+ (* (* 1/2 (exp (- (log (/ 1 n))))) (/ 1 n)) (- (exp (- (log (/ 1 n)))) 1))) into (- (+ (* 1/2 (/ (exp (- (log (/ 1 n)))) n)) (exp (- (log (/ 1 n))))) (+ 1 (* 1/24 (/ (exp (- (log (/ 1 n)))) (pow n 2))))) * [misc]approximate: Taking taylor expansion of (expm1 (fma (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2) (log1p (/ 1 (- n))))) in (n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (fma (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2) (log1p (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (- (exp (fma (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2) (log1p (/ 1 (- n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (fma (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2) (log1p (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2) (log1p (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2)) (log1p (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2)) in n * [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 (- (/ 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 (log1p (/ 1 (- n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ 0 (- (log -1) (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log n))) into (exp (- (log -1) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (fma (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2) (log1p (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (- (exp (fma (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2) (log1p (/ 1 (- n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (fma (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2) (log1p (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2) (log1p (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2)) (log1p (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (- (/ 1/3 (/ 1 (- n))) 1/2)) in n * [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 (- (/ 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 (log1p (/ 1 (- n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (+ 0 (- (log -1) (log n))) into (- (log -1) (log n)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log n))) into (exp (- (log -1) (log n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log -1) (log n))) -1) into (- (exp (- (log -1) (log n))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log -1) (log n))) 1) into (- (exp (- (log -1) (log n))) 1) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* -1 -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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log n))) (+ (* (/ (pow -1/2 1) 1)))) into (* -1/2 (exp (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (exp (- (log -1) (log n)))) 0) into (- (* 1/2 (exp (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (- (* 1/2 (exp (- (log -1) (log n))))) into (- (* 1/2 (exp (- (log -1) (log n))))) * [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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 -1/3) (* 0 -1/2)) 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 (+ 1/3 -1/2) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log n))) (+ (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/24 (exp (- (log -1) (log n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/24 (exp (- (log -1) (log n)))) 0) into (- (* 1/24 (exp (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (- (* 1/24 (exp (- (log -1) (log n))))) into (- (* 1/24 (exp (- (log -1) (log n))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/24 (exp (- (log -1) (log (/ 1 (- n))))))) (pow (/ 1 (- n)) 2)) (+ (* (- (* 1/2 (exp (- (log -1) (log (/ 1 (- n))))))) (/ 1 (- n))) (- (exp (- (log -1) (log (/ 1 (- n))))) 1))) into (- (+ (* 1/2 (/ (exp (- (log -1) (log (/ -1 n)))) n)) (exp (- (log -1) (log (/ -1 n))))) (+ 1 (* 1/24 (/ (exp (- (log -1) (log (/ -1 n)))) (pow n 2))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 1 2 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: simplifying candidates * * * * [misc]progress: [ 1 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (exp (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * [exit]simplify: Simplified to (exp (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) * * * * [misc]progress: [ 2 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * [exit]simplify: Simplified to (expm1 (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * * * * [misc]progress: [ 3 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)) * [exit]simplify: Simplified to (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)) * * * * [misc]progress: [ 4 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (log (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * [exit]simplify: Simplified to (log (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * * * * [misc]progress: [ 7 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (exp (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * [exit]simplify: Simplified to (exp (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * * * * [misc]progress: [ 8 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) (cbrt (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) (cbrt (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))))) * [exit]simplify: Simplified to (* (cbrt (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) (cbrt (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))))) * [enter]simplify: Simplifying (cbrt (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * [exit]simplify: Simplified to (cbrt (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * * * * [misc]progress: [ 9 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))) (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (pow (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n))) 3) * [exit]simplify: Simplified to (pow (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n))) 3) * * * * [misc]progress: [ 10 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * [exit]simplify: Simplified to (sqrt (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * [enter]simplify: Simplifying (sqrt (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * [exit]simplify: Simplified to (sqrt (expm1 (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)))) * * * * [misc]progress: [ 11 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ 1/3 n)) * [exit]simplify: Simplified to (expm1 (/ 1/3 n)) * * * * [misc]progress: [ 13 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ 1/3 n)) * [exit]simplify: Simplified to (log1p (/ 1/3 n)) * * * * [misc]progress: [ 14 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ 1/3 n)) * [exit]simplify: Simplified to (log (/ 1/3 n)) * * * * [misc]progress: [ 16 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ 1/3 n)) * [exit]simplify: Simplified to (exp (/ 1/3 n)) * * * * [misc]progress: [ 17 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1/3 n)) (cbrt (/ 1/3 n))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 n)) (cbrt (/ 1/3 n))) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 n)) (cbrt (/ 1/3 n))) * [enter]simplify: Simplifying (cbrt (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 1/3 n)) * [exit]simplify: Simplified to (cbrt (/ 1/3 n)) * * * * [misc]progress: [ 18 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1/3 n) (/ 1/3 n)) (/ 1/3 n)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ 1/3 n) 3) * [exit]simplify: Simplified to (pow (/ 1/3 n) 3) * * * * [misc]progress: [ 19 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 n)) * [exit]simplify: Simplified to (sqrt (/ 1/3 n)) * [enter]simplify: Simplifying (sqrt (/ 1/3 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 n)) * [exit]simplify: Simplified to (sqrt (/ 1/3 n)) * * * * [misc]progress: [ 20 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/3) * [exit]simplify: Simplified to (- 1/3) * [enter]simplify: Simplifying (- n) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- n) * [exit]simplify: Simplified to (- n) * * * * [misc]progress: [ 21 / 29 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [exit]simplify: Simplified to (/ 1 n) * * * * [misc]progress: [ 23 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (/ n 1/3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ n 1/3) * [exit]simplify: Simplified to (/ n 1/3) * * * * [misc]progress: [ 24 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp (fma (/ 1 n) (- (* 1/3 (/ 1 n)) 1/2) (log1p n))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)) * * * * [misc]progress: [ 25 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (+ (* 1/2 (/ (exp (- (log (/ 1 n)))) n)) (exp (- (log (/ 1 n))))) (+ 1 (* 1/24 (/ (exp (- (log (/ 1 n)))) (pow n 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (log1p (- (- n 1) (- (/ 1/24 n) 1/2))) * * * * [misc]progress: [ 26 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (+ (* 1/2 (/ (exp (- (log -1) (log (/ -1 n)))) n)) (exp (- (log -1) (log (/ -1 n))))) (+ 1 (* 1/24 (/ (exp (- (log -1) (log (/ -1 n)))) (pow n 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (log1p (- (fma 1/2 1 (* 1 n)) (fma (/ 1 n) 1/24 1))) * * * * [misc]progress: [ 27 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)) * * * * [misc]progress: [ 28 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)) * * * * [misc]progress: [ 29 / 29 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 n) 1/2) (/ 1 n) (log1p n)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n)) * [exit]simplify: Simplified to (fma (/ 1 n) (- (/ 1/3 n) 1/2) (log1p n))