* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 118 additional inputs, on iter 1 have 138 / 256 * * * * [misc]points: Computing exacts on every 7 of 118 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 118 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 118 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 58 additional inputs, on iter 2 have 198 / 256 * * * * [misc]points: Computing exacts on every 3 of 58 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 58 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 27 additional inputs, on iter 3 have 229 / 256 * * * * [misc]points: Computing exacts for 27 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 4 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 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 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 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 N) in N * [misc]taylor: Taking 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 in N * [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 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 in N * [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 (/ 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 (+ 0 1) 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 (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 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 (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 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 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 -1/2 into -1/2 * [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 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 in N * [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 (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 in N * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 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 -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) 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 (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 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: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 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: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 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: [ 13 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 16 / 60 ] 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: [ 17 / 60 ] 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: [ 18 / 60 ] 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: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [enter]simplify: Simplifying (cbrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log (+ N 1)) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 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 (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (fma (log N) (+ (log N) (log1p N)) (* (log1p N) (log1p N))) * [exit]simplify: Simplified to (fma (log N) (+ (log N) (log1p N)) (* (log1p N) (log1p N))) * * * * [misc]progress: [ 27 / 60 ] 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: [ 28 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (- (log1p N) (log N)) (+ (log N) (log1p N))) * [exit]simplify: Simplified to (* (- (log1p N) (log N)) (+ (log N) (log1p N))) * [enter]simplify: Simplifying (+ (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 N))) (log N)) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 N))) (log N)) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (+ (log N) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (+ (log N) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log (- N 1)) (log N)) * [exit]simplify: Simplified to (+ (log (- N 1)) (log N)) * * * * [misc]progress: [ 38 / 60 ] 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: [ 39 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to N * [exit]simplify: Simplified to N * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (log1p N)) * [exit]simplify: Simplified to (log1p (log1p N)) * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (pow N 3)) * [exit]simplify: Simplified to (log1p (pow N 3)) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (fma N N (- 1 N))) * [exit]simplify: Simplified to (log (fma N N (- 1 N))) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log (log1p N)) * [exit]simplify: Simplified to (log (log1p N)) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (cbrt (log1p N)) * [exit]simplify: Simplified to (cbrt (log1p N)) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (log1p N) 3) * [exit]simplify: Simplified to (pow (log1p N) 3) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- N (fma (* N 1/2) N (log N))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (fma (* N N) (- (* N 1/3) 1/2) (- N (log N))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (fma (/ 1 N) (/ 1/2 N) 0)) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (log N)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1 N) 0) (/ (/ 1/2 N) N)) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ 1 (/ 1 N)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) * [enter]simplify: Simplifying (log (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (cbrt (/ (+ 1 N) N))) * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * [enter]simplify: Simplifying (log (/ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [enter]simplify: Simplifying (cbrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ (+ 1 N) N)) * [exit]simplify: Simplified to (expm1 (/ (+ 1 N) N)) * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log1p (/ (+ 1 N) N)) * [exit]simplify: Simplified to (log1p (/ (+ 1 N) N)) * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp (/ (+ 1 N) N)) * [exit]simplify: Simplified to (exp (/ (+ 1 N) N)) * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) * [enter]simplify: Simplifying (cbrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (cbrt (/ (+ 1 N) N)) * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (pow (/ (+ 1 N) N) 3) * [exit]simplify: Simplified to (pow (/ (+ 1 N) N) 3) * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ 1 N)) * [exit]simplify: Simplified to (- (+ 1 N)) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 39 ] 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: [ 28 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [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: [ 29 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (cbrt (+ 1 N))) * [exit]simplify: Simplified to (/ N (cbrt (+ 1 N))) * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (sqrt (+ 1 N))) * [exit]simplify: Simplified to (/ N (sqrt (+ 1 N))) * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [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: [ 32 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (fma N (- 1 N) (pow N 3)) * [exit]simplify: Simplified to (fma N (- 1 N) (pow N 3)) * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (- N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* N N) N) * [exit]simplify: Simplified to (- (* N N) N) * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- N (fma (* N 1/2) N (log N))) * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ 1 N)) * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ 1 N)) * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ 1 N)) * * * [misc]progress: 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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 N)) in (N) around 0 * [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 (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 (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 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 -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 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 (/ 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 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 (/ 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 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 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 (+ 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 -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 1/3 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 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (/ 1 (- N))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 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 (/ 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (/ 1 (- N))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 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 (/ 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 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 -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1/2 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 (/ 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 -1/3 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 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log1p (log1p (/ 1 N))) * [exit]simplify: Simplified to (log1p (log1p (/ 1 N))) * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (log1p (/ 1 N))) * [exit]simplify: Simplified to (log (log1p (/ 1 N))) * * * * [misc]progress: [ 7 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (log1p (/ 1 N))) * [exit]simplify: Simplified to (exp (log1p (/ 1 N))) * * * * [misc]progress: [ 8 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (/ 1 N))) (cbrt (log1p (/ 1 N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (/ 1 N))) (cbrt (log1p (/ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (log1p (/ 1 N))) (cbrt (log1p (/ 1 N)))) * [enter]simplify: Simplifying (cbrt (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (log1p (/ 1 N))) * [exit]simplify: Simplified to (cbrt (log1p (/ 1 N))) * * * * [misc]progress: [ 9 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (/ 1 N)) (log1p (/ 1 N))) (log1p (/ 1 N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (pow (log1p (/ 1 N)) 3) * [exit]simplify: Simplified to (pow (log1p (/ 1 N)) 3) * * * * [misc]progress: [ 10 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (log1p (/ 1 N))) * [exit]simplify: Simplified to (sqrt (log1p (/ 1 N))) * [enter]simplify: Simplifying (sqrt (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (log1p (/ 1 N))) * [exit]simplify: Simplified to (sqrt (log1p (/ 1 N))) * * * * [misc]progress: [ 11 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- N (fma (* N 1/2) N (log N))) * * * * [misc]progress: [ 13 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 14 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (cbrt (pow (log1p N) 3)) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (pow (log1p N) 3)) (log N)) in N * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p N) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p N) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p N) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p N) 3))) 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 (log (pow (log1p N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]backup-simplify: Simplify (log (pow N 3)) into (log (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 3))) into (* 1/3 (log (pow N 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 3)))) into (pow (pow N 3) 1/3) * [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 (- (cbrt (pow (log1p N) 3)) (log N)) in N * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p N) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p N) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p N) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p N) 3))) 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 (log (pow (log1p N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]backup-simplify: Simplify (log (pow N 3)) into (log (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 3))) into (* 1/3 (log (pow N 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 3)))) into (pow (pow N 3) 1/3) * [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 (+ (pow (pow N 3) 1/3) (- (log N))) into (- (pow (pow N 3) 1/3) (log N)) * [misc]backup-simplify: Simplify (- (pow (pow N 3) 1/3) (log N)) into (- (pow (pow N 3) 1/3) (log N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3/2 (pow N 3))) 1)) (pow (pow N 3) 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (log (pow N 3)))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 3)))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 N) * [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 (+ (* -1/2 N) 0) into (- (* 1/2 N)) * [misc]backup-simplify: Simplify (- (* 1/2 N)) into (- (* 1/2 N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -3/2 (pow N 3))) 2)) (pow (pow N 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* 7/4 (pow N 3))) 1)) (pow (pow N 3) 1)))) 2) into 5/8 * [misc]backup-simplify: Simplify (+ (* 1/3 5/8) (+ (* 0 -3/2) (* 0 (log (pow N 3))))) into 5/24 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 3)))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/24 1) 1)))) into (* 1/3 N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 N) 0) into (* 1/3 N) * [misc]backup-simplify: Simplify (* 1/3 N) into (* 1/3 N) * [misc]backup-simplify: Simplify (+ (* (* 1/3 N) (pow N 2)) (+ (* (- (* 1/2 N)) N) (- (pow (pow N 3) 1/3) (log N)))) into (- (+ (pow (pow N 3) 1/3) (* 1/3 (pow N 3))) (+ (* 1/2 (pow N 2)) (log N))) * [misc]approximate: Taking taylor expansion of (- (cbrt (pow (log1p (/ 1 N)) 3)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (pow (log1p (/ 1 N)) 3)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p (/ 1 N)) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p (/ 1 N)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 N)) 3))) 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 (log (pow (log1p (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (log (pow (- (log N)) 3)) into (log (pow (- (log N)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log N)) 3))) into (* 1/3 (log (pow (- (log N)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log N)) 3)))) into (pow (pow (- (log N)) 3) 1/3) * [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 (- (cbrt (pow (log1p (/ 1 N)) 3)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p (/ 1 N)) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p (/ 1 N)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 N)) 3))) 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 (log (pow (log1p (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (log (pow (- (log N)) 3)) into (log (pow (- (log N)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log N)) 3))) into (* 1/3 (log (pow (- (log N)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log N)) 3)))) into (pow (pow (- (log N)) 3) 1/3) * [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 (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (pow (pow (- (log N)) 3) 1/3) (log N)) into (+ (pow (pow (- (log N)) 3) 1/3) (log N)) * [misc]backup-simplify: Simplify (+ (pow (pow (- (log N)) 3) 1/3) (log N)) into (+ (pow (pow (- (log N)) 3) 1/3) (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1)))) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3 (pow (log N) 2))) 1)) (pow (pow (- (log N)) 3) 1)))) 1) into (/ -3 (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -3 (log N))) (* 0 (log (pow (- (log N)) 3)))) into (- (/ 1 (log N))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log N)) 3)))) (+ (* (/ (pow (- (/ 1 (log N))) 1) 1)))) into (* -1 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (pow -1 1/3)) 0) into (- (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (pow -1 1/3)) into (- (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 3 (pow (log N) 2))) 2)) (pow (pow (- (log N)) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3)))) 1)) (pow (pow (- (log N)) 3) 1)))) 2) into (* 1/2 (- (* 3 (/ 1 (log N))) (* 3 (/ 1 (pow (log N) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (* 3 (/ 1 (log N))) (* 3 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -3 (log N))) (* 0 (log (pow (- (log N)) 3))))) into (- (* 1/2 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log N)) 3)))) (+ (* (/ (pow (- (/ 1 (log N))) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* 1/2 (pow -1 1/3)) * [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 (pow -1 1/3)) 0) into (* 1/2 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 1/2 (pow -1 1/3)) into (* 1/2 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow -1 1/3)) (pow (/ 1 N) 2)) (+ (* (- (pow -1 1/3)) (/ 1 N)) (+ (pow (pow (- (log (/ 1 N))) 3) 1/3) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (* 1/2 (* (pow -1 1/3) (/ 1 (pow N 2)))) (pow (pow (- (log (/ 1 N))) 3) 1/3))) (* (pow -1 1/3) (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- (cbrt (pow (log1p (/ 1 (- N))) 3)) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cbrt (pow (log1p (/ 1 (- N))) 3)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p (/ 1 (- N))) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p (/ 1 (- N))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 (- N))) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 (- N))) 3))) 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 (log (pow (log1p (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (log (pow (- (log -1) (log N)) 3)) into (log (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 3))) into (* 1/3 (log (pow (- (log -1) (log N)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 3)))) into (pow (pow (- (log -1) (log N)) 3) 1/3) * [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 (- (cbrt (pow (log1p (/ 1 (- N))) 3)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p (/ 1 (- N))) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p (/ 1 (- N))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 (- N))) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 (- N))) 3))) 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 (log (pow (log1p (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (log (pow (- (log -1) (log N)) 3)) into (log (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 3))) into (* 1/3 (log (pow (- (log -1) (log N)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 3)))) into (pow (pow (- (log -1) (log N)) 3) 1/3) * [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 (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (pow (pow (- (log -1) (log N)) 3) 1/3) (- (log N) (log -1))) into (- (+ (log N) (pow (pow (- (log -1) (log N)) 3) 1/3)) (log -1)) * [misc]backup-simplify: Simplify (- (+ (log N) (pow (pow (- (log -1) (log N)) 3) 1/3)) (log -1)) into (- (+ (log N) (pow (pow (- (log -1) (log N)) 3) 1/3)) (log -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3 (pow (- (log -1) (log N)) 2))) 1)) (pow (pow (- (log -1) (log N)) 3) 1)))) 1) into (/ -3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -3 (- (log -1) (log N)))) (* 0 (log (pow (- (log -1) (log N)) 3)))) into (- (/ 1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 3)))) (+ (* (/ (pow (- (/ 1 (- (log -1) (log N)))) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -3 (pow (- (log -1) (log N)) 2))) 2)) (pow (pow (- (log -1) (log N)) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3))) 1)) (pow (pow (- (log -1) (log N)) 3) 1)))) 2) into (* -1/2 (+ (* 3 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 3 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) (+ (* 0 (/ -3 (- (log -1) (log N)))) (* 0 (log (pow (- (log -1) (log N)) 3))))) into (- (+ (* 1/2 (/ 1 (- (log -1) (log N)))) (* 1/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 3)))) (+ (* (/ (pow (- (/ 1 (- (log -1) (log N)))) 2) 2)) (* (/ (pow (- (+ (* 1/2 (/ 1 (- (log -1) (log N)))) (* 1/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) 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 (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (+ (log (/ 1 (- N))) (pow (pow (- (log -1) (log (/ 1 (- N)))) 3) 1/3)) (log -1)))) into (- (+ (pow (pow (- (log -1) (log (/ -1 N))) 3) 1/3) (+ (log (/ -1 N)) (/ 1 N))) (+ (log -1) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (pow (log1p N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p N) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p N) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p N) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p N) 3))) 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 (log (pow (log1p N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]backup-simplify: Simplify (log (pow N 3)) into (log (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 3))) into (* 1/3 (log (pow N 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 3)))) into (pow (pow N 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p N) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p N) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p N) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p N) 3))) 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 (log (pow (log1p N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]backup-simplify: Simplify (log (pow N 3)) into (log (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 3))) into (* 1/3 (log (pow N 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 3)))) into (pow (pow N 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow N 3) 1/3) into (pow (pow N 3) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3/2 (pow N 3))) 1)) (pow (pow N 3) 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (log (pow N 3)))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 3)))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 N) * [misc]backup-simplify: Simplify (* -1/2 N) into (* -1/2 N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -3/2 (pow N 3))) 2)) (pow (pow N 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* 7/4 (pow N 3))) 1)) (pow (pow N 3) 1)))) 2) into 5/8 * [misc]backup-simplify: Simplify (+ (* 1/3 5/8) (+ (* 0 -3/2) (* 0 (log (pow N 3))))) into 5/24 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 3)))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/24 1) 1)))) into (* 1/3 N) * [misc]backup-simplify: Simplify (* 1/3 N) into (* 1/3 N) * [misc]backup-simplify: Simplify (+ (* (* 1/3 N) (pow N 2)) (+ (* (* -1/2 N) N) (pow (pow N 3) 1/3))) into (- (+ (pow (pow N 3) 1/3) (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (log1p (/ 1 N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p (/ 1 N)) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p (/ 1 N)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 N)) 3))) 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 (log (pow (log1p (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (log (pow (- (log N)) 3)) into (log (pow (- (log N)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log N)) 3))) into (* 1/3 (log (pow (- (log N)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log N)) 3)))) into (pow (pow (- (log N)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p (/ 1 N)) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p (/ 1 N)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 N)) 3))) 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 (log (pow (log1p (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (log (pow (- (log N)) 3)) into (log (pow (- (log N)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log N)) 3))) into (* 1/3 (log (pow (- (log N)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log N)) 3)))) into (pow (pow (- (log N)) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (- (log N)) 3) 1/3) into (pow (pow (- (log N)) 3) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1)))) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3 (pow (log N) 2))) 1)) (pow (pow (- (log N)) 3) 1)))) 1) into (/ -3 (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -3 (log N))) (* 0 (log (pow (- (log N)) 3)))) into (- (/ 1 (log N))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log N)) 3)))) (+ (* (/ (pow (- (/ 1 (log N))) 1) 1)))) into (* -1 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1 (pow -1 1/3)) into (* -1 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 3 (pow (log N) 2))) 2)) (pow (pow (- (log N)) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3)))) 1)) (pow (pow (- (log N)) 3) 1)))) 2) into (* 1/2 (- (* 3 (/ 1 (log N))) (* 3 (/ 1 (pow (log N) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (* 3 (/ 1 (log N))) (* 3 (/ 1 (pow (log N) 2)))))) (+ (* 0 (/ -3 (log N))) (* 0 (log (pow (- (log N)) 3))))) into (- (* 1/2 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log N)) 3)))) (+ (* (/ (pow (- (/ 1 (log N))) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (log N))) (* 1/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* 1/2 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 1/2 (pow -1 1/3)) into (* 1/2 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow -1 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1 (pow -1 1/3)) (/ 1 N)) (pow (pow (- (log (/ 1 N))) 3) 1/3))) into (- (+ (* 1/2 (* (pow -1 1/3) (/ 1 (pow N 2)))) (pow (pow (- (log (/ 1 N))) 3) 1/3)) (* (pow -1 1/3) (/ 1 N))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (log1p (/ 1 (- N))) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p (/ 1 (- N))) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p (/ 1 (- N))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 (- N))) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 (- N))) 3))) 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 (log (pow (log1p (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (log (pow (- (log -1) (log N)) 3)) into (log (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 3))) into (* 1/3 (log (pow (- (log -1) (log N)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 3)))) into (pow (pow (- (log -1) (log N)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (log1p (/ 1 (- N))) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (log1p (/ 1 (- N))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (/ 1 (- N))) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log1p (/ 1 (- N))) 3))) 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 (log (pow (log1p (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (log (pow (- (log -1) (log N)) 3)) into (log (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (log -1) (log N)) 3))) into (* 1/3 (log (pow (- (log -1) (log N)) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (log -1) (log N)) 3)))) into (pow (pow (- (log -1) (log N)) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (- (log -1) (log N)) 3) 1/3) into (pow (pow (- (log -1) (log N)) 3) 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) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3 (pow (- (log -1) (log N)) 2))) 1)) (pow (pow (- (log -1) (log N)) 3) 1)))) 1) into (/ -3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -3 (- (log -1) (log N)))) (* 0 (log (pow (- (log -1) (log N)) 3)))) into (- (/ 1 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 3)))) (+ (* (/ (pow (- (/ 1 (- (log -1) (log N)))) 1) 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -3 (pow (- (log -1) (log N)) 2))) 2)) (pow (pow (- (log -1) (log N)) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3))) 1)) (pow (pow (- (log -1) (log N)) 3) 1)))) 2) into (* -1/2 (+ (* 3 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 3 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) (+ (* 0 (/ -3 (- (log -1) (log N)))) (* 0 (log (pow (- (log -1) (log N)) 3))))) into (- (+ (* 1/2 (/ 1 (- (log -1) (log N)))) (* 1/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (log -1) (log N)) 3)))) (+ (* (/ (pow (- (/ 1 (- (log -1) (log N)))) 2) 2)) (* (/ (pow (- (+ (* 1/2 (/ 1 (- (log -1) (log N)))) (* 1/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (pow (pow (- (log -1) (log (/ 1 (- N)))) 3) 1/3))) into (- (+ (pow (pow (- (log -1) (log (/ -1 N))) 3) 1/3) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (pow (log1p N) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]taylor: Taking taylor expansion of (pow (log1p N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 3 (log N)) into (* 3 (log N)) * [misc]backup-simplify: Simplify (exp (* 3 (log N))) into (pow N 3) * [misc]backup-simplify: Simplify (pow N 3) into (pow N 3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (* -3/2 (pow N 3)) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (* 7/4 (pow N 3)) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (pow N 3)) (pow N 2)) (+ (* (* -3/2 (pow N 3)) N) (pow N 3))) into (- (+ (* 7/4 (pow N 5)) (pow N 3)) (* 3/2 (pow N 4))) * [misc]approximate: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log N)))) into (* 3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log N))))) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (pow (- (log N)) 3) into (pow (- (log N)) 3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 1) 1)))) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (* 3 (pow (log N) 2)) into (* 3 (pow (log N) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 3/2 (/ 1 (log N))) (* 3/2 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) into (* -1 (* (+ (* 3 (/ 1 (pow (log N) 2))) (* 3/2 (/ 1 (log N)))) (pow (log N) 3))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (* 3 (/ 1 (pow (log (/ 1 N)) 2))) (* 3/2 (/ 1 (log (/ 1 N))))) (pow (log (/ 1 N)) 3))) (pow (/ 1 N) 2)) (+ (* (* 3 (pow (log (/ 1 N)) 2)) (/ 1 N)) (pow (- (log (/ 1 N))) 3))) into (- (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (pow (log (/ 1 N)) 3) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2)))))) * [misc]approximate: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]taylor: Taking taylor expansion of (pow (log1p (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log1p (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 3 (log (- (log -1) (log N)))) into (* 3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (pow (- (log -1) (log N)) 3) into (pow (- (log -1) (log N)) 3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (* -3 (pow (- (log -1) (log N)) 2)) into (* -3 (pow (- (log -1) (log N)) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (- (log -1) (log N)))) (* 3/2 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) into (* (- (* 3 (/ 1 (pow (- (log -1) (log N)) 2))) (* 3/2 (/ 1 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 3)) * [misc]backup-simplify: Simplify (+ (* (* (- (* 3 (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 3/2 (/ 1 (- (log -1) (log (/ 1 (- N))))))) (pow (- (log -1) (log (/ 1 (- N)))) 3)) (pow (/ 1 (- N)) 2)) (+ (* (* -3 (pow (- (log -1) (log (/ 1 (- N)))) 2)) (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 3))) into (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (* (log -1) (pow (log (/ -1 N)) 2))) (+ (pow (log -1) 3) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 3 (/ (pow (log -1) 2) N)) (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N))))))))))))) (+ (* 3 (* (pow (log -1) 2) (log (/ -1 N)))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (pow (log (/ -1 N)) 3) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2))))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3)) (cbrt (pow (cbrt (log1p N)) 3)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (113 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 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3)) (cbrt (pow (cbrt (log1p N)) 3)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (108 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 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3)) (cbrt (pow (cbrt (log1p N)) 3)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (117 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 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (sqrt (log1p N)) 3)) (cbrt (pow (sqrt (log1p N)) 3)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 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 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (sqrt (log1p N)) 3)) (cbrt (pow (sqrt (log1p N)) 3)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (50 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 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (sqrt (log1p N)) 3)) (cbrt (pow (sqrt (log1p N)) 3)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 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 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow 1 3)) (cbrt (pow (log1p N) 3)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (* (cbrt 1) (log1p N)) (log N)) * [exit]simplify: Simplified to (- (* (cbrt 1) (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 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow 1 3)) (cbrt (pow (log1p N) 3)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* (cbrt 1) (log1p N)) (log N)) * [exit]simplify: Simplified to (- (* (cbrt 1) (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 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow 1 3)) (cbrt (pow (log1p N) 3)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (* (cbrt 1) (log1p N)) (log N)) * [exit]simplify: Simplified to (- (* (cbrt 1) (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 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (* (log1p N) (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (log1p N))) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (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: [ 11 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (* (log1p N) (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (log1p N) (log1p N))) (cbrt (log1p N)) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (* (log1p N) (log1p N))) (cbrt (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: [ 12 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (* (log1p N) (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) * * [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 (35 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (log1p N) (log1p N))) (cbrt (log1p N)) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (* (log1p N) (log1p N))) (cbrt (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: [ 13 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3)))) (cbrt (cbrt (pow (log1p N) 3))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (log1p N))) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (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: [ 14 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3)))) (cbrt (cbrt (pow (log1p N) 3))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (log1p N))) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (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: [ 15 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3)))) (cbrt (cbrt (pow (log1p N) 3))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (log1p N))) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (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: [ 16 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3)) (cbrt (pow (cbrt (log1p N)) 3)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (113 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: [ 17 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3)) (cbrt (pow (cbrt (log1p N)) 3)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (108 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: [ 18 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3)) (cbrt (pow (cbrt (log1p N)) 3)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (117 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: [ 19 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (sqrt (log1p N)) 3)) (cbrt (pow (sqrt (log1p N)) 3)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 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: [ 20 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (sqrt (log1p N)) 3)) (cbrt (pow (sqrt (log1p N)) 3)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (50 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: [ 21 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow (sqrt (log1p N)) 3)) (cbrt (pow (sqrt (log1p N)) 3)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 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: [ 22 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow 1 3)) (cbrt (pow (log1p N) 3)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (* (cbrt 1) (log1p N)) (log N)) * [exit]simplify: Simplified to (- (* (cbrt 1) (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: [ 23 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow 1 3)) (cbrt (pow (log1p N) 3)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* (cbrt 1) (log1p N)) (log N)) * [exit]simplify: Simplified to (- (* (cbrt 1) (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: [ 24 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (pow 1 3)) (cbrt (pow (log1p N) 3)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (* (cbrt 1) (log1p N)) (log N)) * [exit]simplify: Simplified to (- (* (cbrt 1) (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: [ 25 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (log1p N)) (cbrt (* (log1p N) (log1p N))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (log1p N))) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (log1p N)) (cbrt (* (log1p N) (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: [ 26 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (log1p N)) (cbrt (* (log1p N) (log1p N))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (log1p N) (log1p N))) (cbrt (log1p N)) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (* (log1p N) (log1p N))) (cbrt (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: [ 27 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (log1p N)) (cbrt (* (log1p N) (log1p N))) (- (* (log N) 1))) * * [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 (35 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (log1p N) (log1p N))) (cbrt (log1p N)) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (* (log1p N) (log1p N))) (cbrt (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: [ 28 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (sqrt (pow (log1p N) 3))) (cbrt (sqrt (pow (log1p N) 3))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (fma (cbrt (sqrt (pow (log1p N) 3))) (cbrt (sqrt (pow (log1p N) 3))) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (sqrt (pow (log1p N) 3))) (cbrt (sqrt (pow (log1p N) 3))) (- (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: [ 29 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (sqrt (pow (log1p N) 3))) (cbrt (sqrt (pow (log1p N) 3))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (fma (cbrt (sqrt (pow (log1p N) 3))) (cbrt (sqrt (pow (log1p N) 3))) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (sqrt (pow (log1p N) 3))) (cbrt (sqrt (pow (log1p N) 3))) (- (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: [ 30 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (sqrt (pow (log1p N) 3))) (cbrt (sqrt (pow (log1p N) 3))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (fma (cbrt (sqrt (pow (log1p N) 3))) (cbrt (sqrt (pow (log1p N) 3))) (- (log N))) * [exit]simplify: Simplified to (fma (cbrt (sqrt (pow (log1p N) 3))) (cbrt (sqrt (pow (log1p N) 3))) (- (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: [ 31 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt 1) (cbrt (pow (log1p N) 3)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (cbrt 1)) (log N)) * [exit]simplify: Simplified to (- (* (log1p N) (cbrt 1)) (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: [ 32 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt 1) (cbrt (pow (log1p N) 3)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (cbrt 1)) (log N)) * [exit]simplify: Simplified to (- (* (log1p N) (cbrt 1)) (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: [ 33 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt 1) (cbrt (pow (log1p N) 3)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (* (log1p N) (cbrt 1)) (log N)) * [exit]simplify: Simplified to (- (* (log1p N) (cbrt 1)) (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: [ 34 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (cbrt (pow (log1p N) 3))) (cbrt (cbrt (pow (log1p N) 3)))) (cbrt (cbrt (pow (log1p N) 3))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (123 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: [ 35 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (cbrt (pow (log1p N) 3))) (cbrt (cbrt (pow (log1p N) 3)))) (cbrt (cbrt (pow (log1p N) 3))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (111 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: [ 36 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (cbrt (pow (log1p N) 3))) (cbrt (cbrt (pow (log1p N) 3)))) (cbrt (cbrt (pow (log1p N) 3))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (128 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: [ 37 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (cbrt (pow (log1p N) 3))) (sqrt (cbrt (pow (log1p N) 3))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 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: [ 38 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (cbrt (pow (log1p N) 3))) (sqrt (cbrt (pow (log1p N) 3))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (78 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: [ 39 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (cbrt (pow (log1p N) 3))) (sqrt (cbrt (pow (log1p N) 3))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (65 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: [ 40 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (cbrt (pow (log1p N) 3)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (61 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: [ 41 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (cbrt (pow (log1p N) 3)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (52 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: [ 42 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (cbrt (pow (log1p N) 3)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (61 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: [ 43 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (cbrt (pow (log1p N) 3)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 44 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (cbrt (pow (log1p N) 3)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 45 / 127 ] 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: [ 46 / 127 ] 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: [ 47 / 127 ] 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: [ 48 / 127 ] 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: [ 49 / 127 ] 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: [ 50 / 127 ] 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: [ 51 / 127 ] 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: [ 52 / 127 ] 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: [ 53 / 127 ] 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: [ 54 / 127 ] 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: [ 55 / 127 ] 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: [ 56 / 127 ] 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: [ 57 / 127 ] 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: [ 58 / 127 ] 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: [ 59 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (cbrt (pow (log1p N) 3))) N) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * * * * [misc]progress: [ 60 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (cbrt (pow (log1p N) 3)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 62 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (cbrt (pow (log1p N) 3)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * * * * [misc]progress: [ 63 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (cbrt (pow (log1p N) 3)) (log N))) (cbrt (- (cbrt (pow (log1p N) 3)) (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 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 (- (cbrt (pow (log1p N) 3)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 64 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (cbrt (pow (log1p N) 3)) (log N)) (- (cbrt (pow (log1p N) 3)) (log N))) (- (cbrt (pow (log1p N) 3)) (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 65 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cbrt (pow (log1p N) 3)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (- (cbrt (pow (log1p N) 3)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 66 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cbrt (pow (log1p N) 3)) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 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 (+ (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (+ (* (log N) (log N)) (* (cbrt (pow (log1p N) 3)) (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (59 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: [ 67 / 127 ] 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: [ 68 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (+ (log1p N) (log N)) (- (log1p N) (log N))) * [exit]simplify: Simplified to (* (+ (log1p N) (log N)) (- (log1p N) (log N))) * [enter]simplify: Simplifying (+ (cbrt (pow (log1p N) 3)) (log N)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * * * * [misc]progress: [ 70 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cbrt (pow (sqrt (log1p N)) 3)) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [enter]simplify: Simplifying (- (cbrt (pow (sqrt (log1p N)) 3)) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * * * * [misc]progress: [ 71 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cbrt (pow (sqrt (log1p N)) 3)) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [enter]simplify: Simplifying (- (cbrt (pow (sqrt (log1p N)) 3)) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * * * * [misc]progress: [ 72 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cbrt (sqrt (pow (log1p N) 3))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (cbrt (sqrt (pow (log1p N) 3))) (sqrt (log N))) * [exit]simplify: Simplified to (+ (cbrt (sqrt (pow (log1p N) 3))) (sqrt (log N))) * [enter]simplify: Simplifying (- (cbrt (sqrt (pow (log1p N) 3))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (cbrt (sqrt (pow (log1p N) 3))) (sqrt (log N))) * [exit]simplify: Simplified to (- (cbrt (sqrt (pow (log1p N) 3))) (sqrt (log N))) * * * * [misc]progress: [ 73 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cbrt (pow (log1p N) 3))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [enter]simplify: Simplifying (- (sqrt (cbrt (pow (log1p N) 3))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * * * * [misc]progress: [ 74 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (pow (log1p N) 3)) (log N)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 75 / 127 ] 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: [ 76 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to N * [exit]simplify: Simplified to N * * * * [misc]progress: [ 77 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (log1p (log1p N)) * [exit]simplify: Simplified to (log1p (log1p N)) * * * * [misc]progress: [ 78 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (log (log1p N)) * [exit]simplify: Simplified to (log (log1p N)) * * * * [misc]progress: [ 81 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (exp (log1p N)) * [exit]simplify: Simplified to (exp (log1p N)) * * * * [misc]progress: [ 82 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (log1p N)) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (log1p N)) * [exit]simplify: Simplified to (cbrt (log1p N)) * * * * [misc]progress: [ 83 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (log1p N)) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * [enter]simplify: Simplifying (cbrt (pow (sqrt (log1p N)) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * * * * [misc]progress: [ 84 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 85 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (log1p N) (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * [enter]simplify: Simplifying (cbrt (log1p N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p N)) * [exit]simplify: Simplified to (cbrt (log1p N)) * * * * [misc]progress: [ 86 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (cbrt (log1p N)) * [exit]simplify: Simplified to (cbrt (log1p N)) * * * * [misc]progress: [ 87 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (log1p N)) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (log1p N)) * [exit]simplify: Simplified to (cbrt (log1p N)) * * * * [misc]progress: [ 88 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (log1p N)) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * [enter]simplify: Simplifying (cbrt (pow (sqrt (log1p N)) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * * * * [misc]progress: [ 89 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 90 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log1p N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p N)) * [exit]simplify: Simplified to (cbrt (log1p N)) * [enter]simplify: Simplifying (cbrt (* (log1p N) (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * [exit]simplify: Simplified to (cbrt (* (log1p N) (log1p N))) * * * * [misc]progress: [ 91 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (log1p N) 3))) * [enter]simplify: Simplifying (cbrt (sqrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (log1p N) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (log1p N) 3))) * * * * [misc]progress: [ 92 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 93 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (pow (log1p N) 3))) (cbrt (cbrt (pow (log1p N) 3)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (cbrt (log1p N)) * [exit]simplify: Simplified to (cbrt (log1p N)) * * * * [misc]progress: [ 94 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (pow (log1p N) 3) * [exit]simplify: Simplified to (pow (log1p N) 3) * * * * [misc]progress: [ 95 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * [enter]simplify: Simplifying (sqrt (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * * * * [misc]progress: [ 97 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (pow (log1p N) 3)) * [exit]simplify: Simplified to (expm1 (pow (log1p N) 3)) * * * * [misc]progress: [ 99 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (pow (log1p N) 3)) * [exit]simplify: Simplified to (log1p (pow (log1p N) 3)) * * * * [misc]progress: [ 100 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (log1p N)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (log1p N)) 3) * [exit]simplify: Simplified to (* (log (log1p N)) 3) * * * * [misc]progress: [ 101 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (log1p N)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (log1p N)) 3) * [exit]simplify: Simplified to (* (log (log1p N)) 3) * * * * [misc]progress: [ 102 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 103 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [enter]simplify: Simplifying (pow (cbrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 104 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [enter]simplify: Simplifying (pow (sqrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * * * * [misc]progress: [ 105 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (log1p N) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (log1p N) 3) * [exit]simplify: Simplified to (pow (log1p N) 3) * * * * [misc]progress: [ 106 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p N) (log1p N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * * * * [misc]progress: [ 107 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* 3 (log (log1p N))) * [exit]simplify: Simplified to (* 3 (log (log1p N))) * * * * [misc]progress: [ 109 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (exp (pow (log1p N) 3)) * [exit]simplify: Simplified to (exp (pow (log1p N) 3)) * * * * [misc]progress: [ 110 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (log1p N) 3)) (cbrt (pow (log1p N) 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [enter]simplify: Simplifying (cbrt (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 111 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (log1p N) 3) (pow (log1p N) 3)) (pow (log1p N) 3)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (pow (pow (log1p N) 3) 3) * [exit]simplify: Simplified to (pow (pow (log1p N) 3) 3) * * * * [misc]progress: [ 112 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (log1p N)) (cbrt (log1p N))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [enter]simplify: Simplifying (pow (cbrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 113 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [enter]simplify: Simplifying (pow (sqrt (log1p N)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * * * * [misc]progress: [ 114 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (log1p N) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (log1p N) 3) * [exit]simplify: Simplified to (pow (log1p N) 3) * * * * [misc]progress: [ 115 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p N) (log1p N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * [exit]simplify: Simplified to (* (log1p N) (log1p N)) * * * * [misc]progress: [ 116 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (log1p N) 3)) * [exit]simplify: Simplified to (sqrt (pow (log1p N) 3)) * [enter]simplify: Simplifying (sqrt (pow (log1p N) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (log1p N) 3)) * [exit]simplify: Simplified to (sqrt (pow (log1p N) 3)) * * * * [misc]progress: [ 118 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (pow N 3) 1/3) (* 1/3 (pow N 3))) (+ (* 1/2 (pow N 2)) (log N))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (fma (* N N) (- (* 1/3 N) 1/2) (- N (log N))) * * * * [misc]progress: [ 120 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 1 N)) (+ (* 1/2 (* (pow -1 1/3) (/ 1 (pow N 2)))) (pow (pow (- (log (/ 1 N))) 3) 1/3))) (* (pow -1 1/3) (/ 1 N))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * [exit]simplify: Simplified to (+ (* (/ 1/2 N) (/ (cbrt -1) N)) (- 0 (/ (cbrt -1) N))) * * * * [misc]progress: [ 121 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (pow (- (log -1) (log (/ -1 N))) 3) 1/3) (+ (log (/ -1 N)) (/ 1 N))) (+ (log -1) (* 1/2 (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1 N) (log -1)) (+ (log N) (log -1))) (- (/ (/ 1/2 N) N) (+ 0 (log N)))) * * * * [misc]progress: [ 122 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (pow (pow N 3) 1/3) (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (log N)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (fma (* N N) (- (* 1/3 N) 1/2) (- N (log N))) * * * * [misc]progress: [ 123 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (* (pow -1 1/3) (/ 1 (pow N 2)))) (pow (pow (- (log (/ 1 N))) 3) 1/3)) (* (pow -1 1/3) (/ 1 N))) (log N)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (fma (/ 1/2 N) (/ (cbrt -1) N) (- 0 (/ (cbrt -1) N))) * * * * [misc]progress: [ 124 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (pow (pow (- (log -1) (log (/ -1 N))) 3) 1/3) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (log N)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (- (+ (/ 1 N) (log N)) (fma (/ 1 N) (/ 1/2 N) (log N))) * * * * [misc]progress: [ 125 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (- (+ (* 7/4 (pow N 5)) (pow N 3)) (* 3/2 (pow N 4)))) (log N)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (cbrt (- (fma (pow N 5) 7/4 (pow N 3)) (* (pow N 4) 3/2))) (log N)) * * * * [misc]progress: [ 126 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (- (* 3 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 3 (/ (log (/ 1 N)) (pow N 2))) (+ (pow (log (/ 1 N)) 3) (* 3/2 (/ (pow (log (/ 1 N)) 2) (pow N 2))))))) (log N)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (- (cbrt (fma (+ (/ (* (log N) (log N)) N) (/ (log N) (* N N))) 3 (fma (* (log N) (log N)) (log N) (* (/ (- 3/2) (* N N)) (* (log N) (log N)))))) (log N)) * * * * [misc]progress: [ 127 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (- (+ (* 3 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 3 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 3 (* (log -1) (pow (log (/ -1 N)) 2))) (+ (pow (log -1) 3) (+ (* 9 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9/2 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (* 3 (/ (pow (log -1) 2) N)) (* 3/2 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (- (log -1) (log (/ -1 N))))))))))))) (+ (* 3 (* (pow (log -1) 2) (log (/ -1 N)))) (+ (* 9/2 (/ (* (log -1) (pow (log (/ -1 N)) 2)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (+ (pow (log (/ -1 N)) 3) (+ (* 6 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 3 (/ (pow (log (/ -1 N)) 3) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 9 (/ (* (pow (log -1) 2) (log (/ -1 N))) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (* 3/2 (/ (pow (log -1) 3) (* (- (log -1) (log (/ -1 N))) (pow N 2)))))))))))) (log N)) * * [misc]simplify: iters left: 6 (66 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (- (cbrt (- (+ (+ (fma 3 (/ (log (/ -1 N)) (/ N (log (/ -1 N)))) (/ (/ (* (* (log -1) 3) (* (log -1) (log -1))) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (fma (* (log -1) 3) (* (log (/ -1 N)) (log (/ -1 N))) (pow (log -1) 3))) (+ (fma 3 (/ (* (log -1) (log -1)) N) (* (/ 3/2 (- (log -1) (log (/ -1 N)))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (* N N) (log (/ -1 N)))))) (fma 9 (/ (* (/ (log -1) (* N N)) (* (log (/ -1 N)) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (* (* 9/2 (* (/ (log -1) N) (/ (log -1) N))) (/ (log (/ -1 N)) (- (log -1) (log (/ -1 N)))))))) (+ (+ (fma 3 (* (log (/ -1 N)) (* (log -1) (log -1))) (* (/ 9/2 (- (log -1) (log (/ -1 N)))) (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (* N N) (log -1))))) (fma (log (/ -1 N)) (* (log (/ -1 N)) (log (/ -1 N))) (* (* (/ (log -1) N) (log (/ -1 N))) 6))) (fma (/ (/ (* (log (/ -1 N)) (log (/ -1 N))) (/ (* N N) (log (/ -1 N)))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) 3 (fma 9 (/ (* (* (/ (log -1) N) (/ (log -1) N)) (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (* (* 3/2 (log -1)) (* (log -1) (log -1))) (* (- (log -1) (log (/ -1 N))) (* N N)))))))) (log N)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (log (+ N 1)) (log N)) +nan.0)) , with alts (#) * [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]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3917 additional inputs, on iter 1 have 4083 / 8000 * * * * [misc]points: Computing exacts on every 244 of 3917 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 122 of 3917 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 61 of 3917 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 30 of 3917 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 3917 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 3917 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 3917 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 3917 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1957 additional inputs, on iter 2 have 6043 / 8000 * * * * [misc]points: Computing exacts on every 122 of 1957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 61 of 1957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 30 of 1957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 1957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 1957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 1957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1957 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 986 additional inputs, on iter 3 have 7014 / 8000 * * * * [misc]points: Computing exacts on every 61 of 986 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 30 of 986 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 986 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 986 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 986 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 986 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 509 additional inputs, on iter 4 have 7491 / 8000 * * * * [misc]points: Computing exacts on every 31 of 509 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 509 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 509 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 509 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 509 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 274 additional inputs, on iter 5 have 7726 / 8000 * * * * [misc]points: Computing exacts on every 17 of 274 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 274 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 274 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 274 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 274 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 145 additional inputs, on iter 6 have 7855 / 8000 * * * * [misc]points: Computing exacts on every 9 of 145 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 145 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 145 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 145 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 70 additional inputs, on iter 7 have 7930 / 8000 * * * * [misc]points: Computing exacts on every 4 of 70 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 70 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 70 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 33 additional inputs, on iter 8 have 7967 / 8000 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 33 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 9 have 7984 / 8000 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 10 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs