* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 122 additional inputs, on iter 1 have 134 / 256 * * * * [misc]points: Computing exacts on every 7 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 122 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 57 additional inputs, on iter 2 have 199 / 256 * * * * [misc]points: Computing exacts on every 3 of 57 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 57 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 33 additional inputs, on iter 3 have 223 / 256 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 33 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 4 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 5 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 9 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 183 * * [misc]simplify: Extracting #4: cost 0 inf + 560 * [exit]simplify: Simplified to (- (log (+ 1 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 (- (+ N (* 1/3 (pow N 3))) (* 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) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) * [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 (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 126 * [exit]simplify: Simplified to (/ (+ 1 N) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 40 ] 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: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 792 * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ N 1))) (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 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 943 * [exit]simplify: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ 1 N))) (sqrt (log N))))) * * * * [misc]progress: [ 13 / 40 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 183 * * [misc]simplify: Extracting #4: cost 0 inf + 560 * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) * * * * [misc]progress: [ 14 / 40 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 183 * * [misc]simplify: Extracting #4: cost 0 inf + 560 * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) * * * * [misc]progress: [ 15 / 40 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 752 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 278 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (- (log (+ N 1)) (log N)))) * * * * [misc]progress: [ 18 / 40 ] 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: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 832 * * [misc]simplify: Extracting #6: cost 0 inf + 439 * [exit]simplify: Simplified to (log (+ 1 (* (* N N) N))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ 1 (* (* N N) N))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 2 * * [misc]simplify: Extracting #4: cost 14 inf + 3 * * [misc]simplify: Extracting #5: cost 3 inf + 654 * * [misc]simplify: Extracting #6: cost 0 inf + 1000 * [exit]simplify: Simplified to (log (- (* N N) 1)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (- (* N N) 1)) (+ (log (- N 1)) (log N)))) * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 40 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 752 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log N))) * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 278 * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log N))) * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ 0 (log (+ N 1))) (log N))) * * * * [misc]progress: [ 24 / 40 ] 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: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 832 * * [misc]simplify: Extracting #6: cost 0 inf + 439 * [exit]simplify: Simplified to (log (+ 1 (* (* N N) N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (+ 1 (* (* N N) N))) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 2 * * [misc]simplify: Extracting #4: cost 14 inf + 3 * * [misc]simplify: Extracting #5: cost 3 inf + 654 * * [misc]simplify: Extracting #6: cost 0 inf + 1000 * [exit]simplify: Simplified to (log (- (* N N) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (- (* N N) 1)) (log (- N 1))) (log N))) * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (+ 1 N) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 40 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 335 * * [misc]simplify: Extracting #3: cost 13 inf + 2535 * * [misc]simplify: Extracting #4: cost 2 inf + 4145 * * [misc]simplify: Extracting #5: cost 0 inf + 4380 * [exit]simplify: Simplified to (- N (+ (log N) (* (* N N) 1/2))) * [misc]simplify: Simplified (2) to (λ (N) (- N (+ (log N) (* (* N N) 1/2)))) * * * * [misc]progress: [ 36 / 40 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 458 * * [misc]simplify: Extracting #4: cost 14 inf + 3614 * * [misc]simplify: Extracting #5: cost 0 inf + 5733 * [exit]simplify: Simplified to (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 37 / 40 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 458 * * [misc]simplify: Extracting #4: cost 14 inf + 3614 * * [misc]simplify: Extracting #5: cost 0 inf + 5733 * [exit]simplify: Simplified to (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 739 * * [misc]simplify: Extracting #4: cost 5 inf + 3229 * * [misc]simplify: Extracting #5: cost 0 inf + 3884 * * [misc]simplify: Extracting #6: cost 0 inf + 3843 * [exit]simplify: Simplified to (+ (* (- (* N 1/3) 1/2) (* N N)) N) * [misc]simplify: Simplified (2 1) to (λ (N) (- (+ (* (- (* N 1/3) 1/2) (* N N)) N) (log N))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 1 * * [misc]simplify: Extracting #3: cost 46 inf + 5 * * [misc]simplify: Extracting #4: cost 21 inf + 2034 * * [misc]simplify: Extracting #5: cost 1 inf + 5056 * * [misc]simplify: Extracting #6: cost 0 inf + 5260 * [exit]simplify: Simplified to (- (/ 1 N) (- (/ 1/2 (* N N)) (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (/ 1 N) (- (/ 1/2 (* N N)) (log N))) (log N))) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 116 inf + 0 * * [misc]simplify: Extracting #2: cost 288 inf + 1 * * [misc]simplify: Extracting #3: cost 271 inf + 4501 * * [misc]simplify: Extracting #4: cost 46 inf + 54822 * * [misc]simplify: Extracting #5: cost 1 inf + 67355 * * [misc]simplify: Extracting #6: cost 0 inf + 67028 * * [misc]simplify: Extracting #7: cost 0 inf + 66958 * [exit]simplify: Simplified to (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) (log N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (+ 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 N) 1) * [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 N) 1) * [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 N) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 35 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 994 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 440 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ N 1) N)))) * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 156 * [exit]simplify: Simplified to (log (+ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (+ 1 N)) (log (/ 1 N)))) * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 156 * [exit]simplify: Simplified to (log (+ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 126 * [exit]simplify: Simplified to (/ (+ 1 N) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (+ N 1)))))) * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (+ 1 N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ 1 N)) (/ N (sqrt (+ N 1)))))) * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow N 3) (pow 1 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 3 inf + 3 * * [misc]simplify: Extracting #4: cost 0 inf + 509 * * [misc]simplify: Extracting #5: cost 0 inf + 247 * [exit]simplify: Simplified to (+ 1 (* N (* N N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (+ 1 (* N (* N N))) (* N (+ (* N N) (- (* 1 1) (* N 1))))))) * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* N N) (* 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 2 * * [misc]simplify: Extracting #3: cost 12 inf + 3 * * [misc]simplify: Extracting #4: cost 6 inf + 375 * * [misc]simplify: Extracting #5: cost 0 inf + 868 * [exit]simplify: Simplified to (- (* N N) 1) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- (* N N) 1) (* N (- N 1))))) * * * * [misc]progress: [ 30 / 35 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 335 * * [misc]simplify: Extracting #3: cost 13 inf + 2535 * * [misc]simplify: Extracting #4: cost 2 inf + 4145 * * [misc]simplify: Extracting #5: cost 0 inf + 4380 * [exit]simplify: Simplified to (- N (+ (log N) (* (* N N) 1/2))) * [misc]simplify: Simplified (2) to (λ (N) (- N (+ (log N) (* (* N N) 1/2)))) * * * * [misc]progress: [ 31 / 35 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 458 * * [misc]simplify: Extracting #4: cost 14 inf + 3614 * * [misc]simplify: Extracting #5: cost 0 inf + 5733 * [exit]simplify: Simplified to (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 32 / 35 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 458 * * [misc]simplify: Extracting #4: cost 14 inf + 3614 * * [misc]simplify: Extracting #5: cost 0 inf + 5733 * [exit]simplify: Simplified to (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 N) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 126 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 N) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 126 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 N) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 126 * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [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 / 4 ] generating series at (2 1 1) * [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: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N * [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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N * [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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N * [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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N * [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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) * [misc]backup-simplify: Simplify (pow (sqrt (- (log N))) 2) into (pow (sqrt (- (log N))) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) 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 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [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 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (pow (sqrt (- (log N))) 2))) into (- (+ (pow (sqrt (- (log N))) 2) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (* (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) in N * [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 (- (+ (* 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) in N * [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 (- (+ (* 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) in N * [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 (- (+ (* 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) in N * [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 (- (+ (* 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (/ (+ (* 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (/ (+ (* 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 4)) (+ (* (- +nan.0) (pow (/ 1 N) 3)) (* (- +nan.0) (pow (/ 1 N) 2)))) into (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 (pow N 2)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [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 (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [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 (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [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 (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [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 (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (/ (+ (* 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (/ (+ (* 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 4)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (* (- +nan.0) (pow (/ 1 (- N)) 2)))) into (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 (pow N 2)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N * [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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ N 1) N))) in N * [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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) * [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 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (pow N 2)) (+ (* (/ 1/2 (sqrt (- (log N)))) N) (sqrt (- (log N))))) into (- (+ (* 1/2 (/ N (sqrt (- (log N))))) (sqrt (- (log N)))) (+ (* 1/8 (/ (pow N 2) (pow (sqrt (- (log N))) 3))) (* 1/4 (/ (pow N 2) (sqrt (- (log N))))))) * [misc]approximate: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) in N * [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 (- (+ (* 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 N) 1) (/ 1 N)))) in N * [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 (- (+ (* 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (/ (+ (* 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) * [misc]approximate: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [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 (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [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 (- 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (/ (+ (* 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 85 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 994 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))))) * * * * [misc]progress: [ 2 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 440 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))))) * * * * [misc]progress: [ 3 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (+ 0 (log (/ (+ N 1) N)))))) * * * * [misc]progress: [ 4 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 156 * [exit]simplify: Simplified to (log (+ 1 N)) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (+ (log (+ 1 N)) (log (/ 1 N)))))) * * * * [misc]progress: [ 5 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 156 * [exit]simplify: Simplified to (log (+ 1 N)) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (- (log (+ 1 N)) (log N))))) * * * * [misc]progress: [ 6 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 126 * [exit]simplify: Simplified to (/ (+ 1 N) N) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 9 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 85 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 994 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ N 1) N))))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 16 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 440 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ N 1) N))))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 17 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ 0 (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 18 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 156 * [exit]simplify: Simplified to (log (+ 1 N)) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log (+ 1 N)) (log (/ 1 N)))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 19 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 156 * [exit]simplify: Simplified to (log (+ 1 N)) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (- (log (+ 1 N)) (log N))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 20 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 126 * [exit]simplify: Simplified to (/ (+ 1 N) N) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 23 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 85 ] 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 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 572 * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (log (/ (+ 1 N) N)) (+ 1/2 1/2))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (log (/ (+ N 1) N)) 1)) * * * * [misc]progress: [ 30 / 85 ] 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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 764 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (log (/ (+ 1 N) N))) (+ 1 1))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (log (/ (+ N 1) N))) 2)) * * * * [misc]progress: [ 31 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 295 * * [misc]simplify: Extracting #6: cost 11 inf + 3927 * * [misc]simplify: Extracting #7: cost 0 inf + 7399 * [exit]simplify: Simplified to (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) 1/2)) * * * * [misc]progress: [ 32 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (/ (+ N 1) N))) (sqrt (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 764 * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (log (/ (+ 1 N) N)) 1)) * * * * [misc]progress: [ 33 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 85 ] 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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 764 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (log (/ (+ 1 N) N))) (+ 1 1))) * * * * [misc]progress: [ 35 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (log (/ (+ N 1) N)))) (log (sqrt (log (/ (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1328 * [exit]simplify: Simplified to (+ (log (sqrt (log (/ (+ 1 N) N)))) (log (sqrt (log (/ (+ 1 N) N))))) * [misc]simplify: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (log (/ (+ 1 N) N)))) (log (sqrt (log (/ (+ 1 N) N))))))) * * * * [misc]progress: [ 37 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 110 inf + 1 * * [misc]simplify: Extracting #3: cost 132 inf + 3 * * [misc]simplify: Extracting #4: cost 132 inf + 4 * * [misc]simplify: Extracting #5: cost 120 inf + 1734 * * [misc]simplify: Extracting #6: cost 63 inf + 21946 * * [misc]simplify: Extracting #7: cost 3 inf + 46806 * * [misc]simplify: Extracting #8: cost 0 inf + 48282 * [exit]simplify: Simplified to (* (log (/ (+ 1 N) N)) (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (* (log (/ (+ 1 N) N)) (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 40 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 295 * * [misc]simplify: Extracting #6: cost 11 inf + 3927 * * [misc]simplify: Extracting #7: cost 0 inf + 7399 * [exit]simplify: Simplified to (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 43 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 126 * [exit]simplify: Simplified to (/ (+ 1 N) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 45 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1036 * [exit]simplify: Simplified to (cbrt (sqrt (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (* (cbrt (sqrt (log (/ (+ N 1) N)))) (cbrt (sqrt (log (/ (+ N 1) N)))))) (cbrt (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 47 / 85 ] 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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 764 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt 1)) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 48 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1076 * [exit]simplify: Simplified to (sqrt (cbrt (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))))) (sqrt (cbrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 49 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 996 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (sqrt (log (/ (+ N 1) N))))) (sqrt (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 50 / 85 ] 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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 764 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt 1)) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 51 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 996 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) (sqrt (sqrt (log (/ (+ N 1) N))))) (sqrt (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 52 / 85 ] 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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 764 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ N 1) N))) 1) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 53 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (log (/ (+ N 1) N)))) (cbrt (sqrt (log (/ (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1348 * [exit]simplify: Simplified to (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N))))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N))))) (* (cbrt (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))))) * * * * [misc]progress: [ 54 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))))) * * * * [misc]progress: [ 55 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1348 * [exit]simplify: Simplified to (fabs (cbrt (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (fabs (cbrt (log (/ (+ 1 N) N)))) (* (sqrt (cbrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))))) * * * * [misc]progress: [ 56 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 996 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (* (sqrt (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))))) * * * * [misc]progress: [ 57 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N)))))) * * * * [misc]progress: [ 58 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 996 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (* (sqrt (sqrt (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N)))))) * * * * [misc]progress: [ 59 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* 1 (sqrt (log (/ (+ N 1) N)))))) * * * * [misc]progress: [ 68 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1348 * [exit]simplify: Simplified to (fabs (cbrt (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (fabs (cbrt (log (/ (+ 1 N) N)))) (sqrt (cbrt (log (/ (+ N 1) N))))))) * * * * [misc]progress: [ 69 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 996 * [exit]simplify: Simplified to (sqrt (sqrt (log (/ (+ 1 N) N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (sqrt (sqrt (log (/ (+ N 1) N))))))) * * * * [misc]progress: [ 70 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (* 1 (sqrt (log (/ (+ N 1) N)))))) * * * * [misc]progress: [ 71 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 85 ] 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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 764 * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (fabs (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 73 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 85 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 335 * * [misc]simplify: Extracting #3: cost 13 inf + 2535 * * [misc]simplify: Extracting #4: cost 2 inf + 4145 * * [misc]simplify: Extracting #5: cost 0 inf + 4380 * [exit]simplify: Simplified to (- N (+ (log N) (* (* N N) 1/2))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (- N (+ (log N) (* (* N N) 1/2)))))) * * * * [misc]progress: [ 75 / 85 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 458 * * [misc]simplify: Extracting #4: cost 14 inf + 3614 * * [misc]simplify: Extracting #5: cost 0 inf + 5733 * [exit]simplify: Simplified to (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N))))))) * * * * [misc]progress: [ 76 / 85 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 458 * * [misc]simplify: Extracting #4: cost 14 inf + 3614 * * [misc]simplify: Extracting #5: cost 0 inf + 5733 * [exit]simplify: Simplified to (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N))))))) * * * * [misc]progress: [ 77 / 85 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 335 * * [misc]simplify: Extracting #3: cost 13 inf + 2535 * * [misc]simplify: Extracting #4: cost 2 inf + 4145 * * [misc]simplify: Extracting #5: cost 0 inf + 4380 * [exit]simplify: Simplified to (- N (+ (log N) (* (* N N) 1/2))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- N (+ (log N) (* (* N N) 1/2)))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 78 / 85 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 458 * * [misc]simplify: Extracting #4: cost 14 inf + 3614 * * [misc]simplify: Extracting #5: cost 0 inf + 5733 * [exit]simplify: Simplified to (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N))))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 79 / 85 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 48 inf + 458 * * [misc]simplify: Extracting #4: cost 14 inf + 3614 * * [misc]simplify: Extracting #5: cost 0 inf + 5733 * [exit]simplify: Simplified to (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- (/ 1 N) (+ (/ (/ -1/3 (* N N)) N) (/ 1/2 (* N N))))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 80 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (sqrt (- (log N))) 2) N) (* 1/2 (pow N 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1447 * * [misc]simplify: Extracting #4: cost 5 inf + 3076 * * [misc]simplify: Extracting #5: cost 0 inf + 3744 * [exit]simplify: Simplified to (- (* N (* -1/2 N)) (- (log N) N)) * [misc]simplify: Simplified (2) to (λ (N) (- (* N (* -1/2 N)) (- (log N) N))) * * * * [misc]progress: [ 81 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 (pow N 2)))))))) * [misc]simplify: Simplified (2) to (λ (N) +nan.0) * * * * [misc]progress: [ 82 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 (pow N 2)))))))) * [misc]simplify: Simplified (2) to (λ (N) +nan.0) * * * * [misc]progress: [ 83 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ N (sqrt (- (log N))))) (sqrt (- (log N)))) (+ (* 1/8 (/ (pow N 2) (pow (sqrt (- (log N))) 3))) (* 1/4 (/ (pow N 2) (sqrt (- (log N))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 115 inf + 0 * * [misc]simplify: Extracting #3: cost 132 inf + 6 * * [misc]simplify: Extracting #4: cost 107 inf + 2588 * * [misc]simplify: Extracting #5: cost 67 inf + 11192 * * [misc]simplify: Extracting #6: cost 10 inf + 27415 * * [misc]simplify: Extracting #7: cost 0 inf + 30778 * [exit]simplify: Simplified to (- (sqrt (- (log N))) (+ (* (* 1/4 (/ N (sqrt (- (log N))))) N) (* (/ N (sqrt (- (log N)))) (- (/ (* 1/8 N) (- (log N))) 1/2)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (- (sqrt (- (log N))) (+ (* (* 1/4 (/ N (sqrt (- (log N))))) N) (* (/ N (sqrt (- (log N)))) (- (/ (* 1/8 N) (- (log N))) 1/2)))))) * * * * [misc]progress: [ 84 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) +nan.0)) * * * * [misc]progress: [ 85 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) +nan.0)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) in N * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 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 (cbrt (+ N 1))) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) in N * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 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 (cbrt (+ N 1))) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 1/3 1)) into 2/3 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2/3) 1)) (pow 1 1)))) 1) into 2/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/3) 1)) (pow 1 1)))) 1) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (+ 2/3 1/3) 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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 -1/9) (+ (* 1/3 1/3) (* -1/9 1))) into -1/9 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -1/6 * [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 (+ -1/6 0) into -1/6 * [misc]backup-simplify: Simplify (+ -1/3 -1/6) 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 (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) (- (log (cbrt (+ (/ 1 N) 1))) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) (- (log (cbrt (+ (/ 1 N) 1))) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow N -1/3)) into (pow (/ 1 (pow N 2)) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ 1 (pow N 2)) 1/3)) into (log (pow (/ 1 (pow N 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (- (log (cbrt (+ (/ 1 N) 1))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (log (pow N -1/3)) into (log (pow N -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 (+ (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) (- (log (cbrt (+ (/ 1 N) 1))) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow N -1/3)) into (pow (/ 1 (pow N 2)) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ 1 (pow N 2)) 1/3)) into (log (pow (/ 1 (pow N 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (- (log (cbrt (+ (/ 1 N) 1))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (log (pow N -1/3)) into (log (pow N -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 (+ (log (pow N -1/3)) (log N)) into (+ (log N) (log (pow N -1/3))) * [misc]backup-simplify: Simplify (+ (log (pow (/ 1 (pow N 2)) 1/3)) (+ (log N) (log (pow N -1/3)))) into (+ (log N) (+ (log (pow N -1/3)) (log (pow (/ 1 (pow N 2)) 1/3)))) * [misc]backup-simplify: Simplify (+ (log N) (+ (log (pow N -1/3)) (log (pow (/ 1 (pow N 2)) 1/3)))) into (+ (log N) (+ (log (pow N -1/3)) (log (pow (/ 1 (pow N 2)) 1/3)))) * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* 1/3 (pow (/ 1 N) 1/3))) (* (* 1/3 (pow (/ 1 N) 1/3)) (pow N -1/3))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) 1)) (pow (pow (/ 1 (pow N 2)) 1/3) 1)))) 1) into 2/3 * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 1) into 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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (+ 2/3 1/3) 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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* -1/9 (pow (/ 1 N) 1/3))) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (* 1/3 (pow (/ 1 N) 1/3))) (* (* -1/9 (pow (/ 1 N) 1/3)) (pow N -1/3)))) into (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) 2)) (pow (pow (/ 1 (pow N 2)) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (pow (/ 1 (pow N 2)) 1/3) 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 2) into -1/6 * [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 (+ -1/6 0) into -1/6 * [misc]backup-simplify: Simplify (+ -1/3 -1/6) 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)) (+ (log (pow (/ 1 N) -1/3)) (log (pow (/ 1 (pow (/ 1 N) 2)) 1/3)))))) into (- (+ (log (/ 1 N)) (+ (/ 1 N) (+ (log (pow (/ 1 N) -1/3)) (log (pow (pow N 2) 1/3))))) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (+ (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) (- (log (cbrt (+ (/ 1 (- N)) 1))) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) (- (log (cbrt (+ (/ 1 (- N)) 1))) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (log N))))) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2) * [misc]backup-simplify: Simplify (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) into (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) * [misc]taylor: Taking taylor expansion of (- (log (cbrt (+ (/ 1 (- N)) 1))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log N))))) into (* 1/3 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (+ (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) (- (log (cbrt (+ (/ 1 (- N)) 1))) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (log N))))) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2) * [misc]backup-simplify: Simplify (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) into (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) * [misc]taylor: Taking taylor expansion of (- (log (cbrt (+ (/ 1 (- N)) 1))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log N))))) into (* 1/3 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (log -1) (log N))) (- (log N) (log -1))) into (- (* 2/3 (log N)) (* 2/3 (log -1))) * [misc]backup-simplify: Simplify (+ (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) (- (* 2/3 (log N)) (* 2/3 (log -1)))) into (- (+ (* 2/3 (log N)) (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (* 2/3 (log -1))) * [misc]backup-simplify: Simplify (- (+ (* 2/3 (log N)) (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (* 2/3 (log -1))) into (- (+ (* 2/3 (log N)) (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (* 2/3 (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 (+ 0 1) 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 (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (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) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))) 1)) (pow (pow (exp (* 1/3 (- (log -1) (log N)))) 2) 1)))) 1) into -2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) 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 (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 1)))) 1) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (+ -2/3 -1/3) 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) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))) 2)) (pow (pow (exp (* 1/3 (- (log -1) (log N)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))) 1)) (pow (pow (exp (* 1/3 (- (log -1) (log N)))) 2) 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) 2)) (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ -1/6 0) into -1/6 * [misc]backup-simplify: Simplify (+ -1/3 -1/6) 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))) (- (+ (* 2/3 (log (/ 1 (- N)))) (log (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))) 2))) (* 2/3 (log -1))))) into (- (+ (/ 1 N) (+ (* 2/3 (log (/ -1 N))) (log (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2)))) (+ (* 1/2 (/ 1 (pow N 2))) (* 2/3 (log -1)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log (cbrt (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/3) 1)) (pow 1 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 1/9 1) 1)))) into 5/81 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/3) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/3) 1) (pow (* 2 -1/9) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 5/81) 1)) (pow 1 1)))) 6) into 1/9 * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]backup-simplify: Simplify (+ (* 1/9 (pow N 3)) (+ (* -1/6 (pow N 2)) (* 1/3 N))) into (- (+ (* 1/3 N) (* 1/9 (pow N 3))) (* 1/6 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (cbrt (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) * [misc]backup-simplify: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 N) 2)) (+ (* 1/3 (/ 1 N)) (log (pow (/ 1 N) -1/3)))) into (- (+ (* 1/3 (/ 1 N)) (log (pow (/ 1 N) -1/3))) (* 1/6 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (cbrt (+ (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log N))))) into (* 1/3 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log N))))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (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) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 1)))) 1) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) 2)) (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 2)) (+ (* -1/3 (/ 1 (- N))) (* 1/3 (- (log -1) (log (/ 1 (- N))))))) into (- (+ (* 1/3 (/ 1 N)) (* 1/3 (log -1))) (+ (* 1/6 (/ 1 (pow N 2))) (* 1/3 (log (/ -1 N))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 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 (* (cbrt (+ N 1)) (cbrt (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 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 (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 1/3 1)) into 2/3 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2/3) 1)) (pow 1 1)))) 1) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 -1/9) (+ (* 1/3 1/3) (* -1/9 1))) into -1/9 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 1/9 1) 1)))) into 5/81 * [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 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into 1/9 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 1/9 1) 1)))) into 5/81 * [misc]backup-simplify: Simplify (+ (* 1 5/81) (+ (* 1/3 -1/9) (+ (* -1/9 1/3) (* 5/81 1)))) into 4/81 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 2/3) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 2/3) 1) (pow (* 2 -1/9) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 4/81) 1)) (pow 1 1)))) 6) into 2/9 * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]backup-simplify: Simplify (+ (* 2/9 (pow N 3)) (+ (* -1/3 (pow N 2)) (* 2/3 N))) into (- (+ (* 2/3 N) (* 2/9 (pow N 3))) (* 1/3 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow N -1/3)) into (pow (/ 1 (pow N 2)) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ 1 (pow N 2)) 1/3)) into (log (pow (/ 1 (pow N 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow N -1/3)) into (pow (/ 1 (pow N 2)) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ 1 (pow N 2)) 1/3)) into (log (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (log (pow (/ 1 (pow N 2)) 1/3)) into (log (pow (/ 1 (pow N 2)) 1/3)) * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* 1/3 (pow (/ 1 N) 1/3))) (* (* 1/3 (pow (/ 1 N) 1/3)) (pow N -1/3))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) 1)) (pow (pow (/ 1 (pow N 2)) 1/3) 1)))) 1) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* -1/9 (pow (/ 1 N) 1/3))) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (* 1/3 (pow (/ 1 N) 1/3))) (* (* -1/9 (pow (/ 1 N) 1/3)) (pow N -1/3)))) into (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2/3 (pow (/ 1 (pow N 2)) 1/3))) 2)) (pow (pow (/ 1 (pow N 2)) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3)))) 1)) (pow (pow (/ 1 (pow N 2)) 1/3) 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 N) 2)) (+ (* 2/3 (/ 1 N)) (log (pow (/ 1 (pow (/ 1 N) 2)) 1/3)))) into (- (+ (* 2/3 (/ 1 N)) (log (pow (pow N 2) 1/3))) (* 1/3 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (log N))))) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2) * [misc]backup-simplify: Simplify (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) into (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (log N))))) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2) * [misc]backup-simplify: Simplify (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) into (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) * [misc]backup-simplify: Simplify (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) into (log (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) 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 (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (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) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))) 1)) (pow (pow (exp (* 1/3 (- (log -1) (log N)))) 2) 1)))) 1) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))) 2)) (pow (pow (exp (* 1/3 (- (log -1) (log N)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2)))) 1)) (pow (pow (exp (* 1/3 (- (log -1) (log N)))) 2) 1)))) 2) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 2)) (+ (* -2/3 (/ 1 (- N))) (log (pow (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))) 2)))) into (- (+ (* 2/3 (/ 1 N)) (log (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2))) (* 1/3 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (log (cbrt (+ N 1))) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (cbrt (+ N 1))) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (cbrt (+ N 1))) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) 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 (+ 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 (* 1/3 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 (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/3) 1)) (pow 1 1)))) 1) into 1/3 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/3) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/9) 1)) (pow 1 1)))) 2) into -1/6 * [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 (+ -1/6 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow N 2)) (+ (* 1/3 N) (- (log N)))) into (- (* 1/3 N) (+ (log N) (* 1/6 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log (cbrt (+ (/ 1 N) 1))) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (cbrt (+ (/ 1 N) 1))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (log (pow N -1/3)) into (log (pow N -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 (- (log (cbrt (+ (/ 1 N) 1))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) 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 (+ (/ 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 (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (log (pow N -1/3)) into (log (pow N -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 (+ (log (pow N -1/3)) (log N)) into (+ (log N) (log (pow N -1/3))) * [misc]backup-simplify: Simplify (+ (log N) (log (pow N -1/3))) into (+ (log N) (log (pow N -1/3))) * [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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 1) into 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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 N) 1/3))) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 N) 1/3))) 1)) (pow (pow N -1/3) 1)))) 2) into -1/6 * [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 (+ -1/6 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 N) 2)) (+ (* 1/3 (/ 1 N)) (+ (log (/ 1 N)) (log (pow (/ 1 N) -1/3))))) into (- (+ (log (/ 1 N)) (+ (* 1/3 (/ 1 N)) (log (pow (/ 1 N) -1/3)))) (* 1/6 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log (cbrt (+ (/ 1 (- N)) 1))) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (cbrt (+ (/ 1 (- N)) 1))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log N))))) into (* 1/3 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log (cbrt (+ (/ 1 (- N)) 1))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) 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 (+ (/ 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 (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log -1) (log N))))) into (* 1/3 (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (log -1) (log N))) (- (log N) (log -1))) into (- (* 2/3 (log N)) (* 2/3 (log -1))) * [misc]backup-simplify: Simplify (- (* 2/3 (log N)) (* 2/3 (log -1))) into (- (* 2/3 (log N)) (* 2/3 (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 (+ 0 1) 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 (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 1)))) 1) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) 2)) (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))) 1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ -1/6 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (/ 1 (- N)) 2)) (+ (* -1/3 (/ 1 (- N))) (- (* 2/3 (log (/ 1 (- N)))) (* 2/3 (log -1))))) into (- (+ (* 1/3 (/ 1 N)) (* 2/3 (log (/ -1 N)))) (+ (* 1/6 (/ 1 (pow N 2))) (* 2/3 (log -1)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ N 1)) N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 45 * * [misc]simplify: Extracting #4: cost 0 inf + 937 * [exit]simplify: Simplified to (/ (+ 1 N) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 2 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (exp (- (log (cbrt (+ N 1))) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 2 * * [misc]simplify: Extracting #3: cost 28 inf + 433 * * [misc]simplify: Extracting #4: cost 16 inf + 2116 * * [misc]simplify: Extracting #5: cost 4 inf + 5710 * * [misc]simplify: Extracting #6: cost 0 inf + 7158 * [exit]simplify: Simplified to (/ (+ 1 N) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 3 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 183 * * [misc]simplify: Extracting #5: cost 28 inf + 184 * * [misc]simplify: Extracting #6: cost 16 inf + 2748 * * [misc]simplify: Extracting #7: cost 0 inf + 7570 * [exit]simplify: Simplified to (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 13 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 183 * * [misc]simplify: Extracting #5: cost 28 inf + 184 * * [misc]simplify: Extracting #6: cost 16 inf + 2748 * * [misc]simplify: Extracting #7: cost 0 inf + 7570 * [exit]simplify: Simplified to (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 14 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 183 * * [misc]simplify: Extracting #5: cost 28 inf + 184 * * [misc]simplify: Extracting #6: cost 16 inf + 2748 * * [misc]simplify: Extracting #7: cost 0 inf + 7570 * [exit]simplify: Simplified to (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 15 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 183 * * [misc]simplify: Extracting #5: cost 28 inf + 184 * * [misc]simplify: Extracting #6: cost 16 inf + 2748 * * [misc]simplify: Extracting #7: cost 0 inf + 7570 * [exit]simplify: Simplified to (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 16 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 183 * * [misc]simplify: Extracting #5: cost 28 inf + 184 * * [misc]simplify: Extracting #6: cost 16 inf + 2748 * * [misc]simplify: Extracting #7: cost 0 inf + 7570 * [exit]simplify: Simplified to (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 17 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 183 * * [misc]simplify: Extracting #5: cost 28 inf + 184 * * [misc]simplify: Extracting #6: cost 16 inf + 2748 * * [misc]simplify: Extracting #7: cost 0 inf + 7570 * [exit]simplify: Simplified to (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 18 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 183 * * [misc]simplify: Extracting #5: cost 28 inf + 184 * * [misc]simplify: Extracting #6: cost 16 inf + 2748 * * [misc]simplify: Extracting #7: cost 0 inf + 7570 * [exit]simplify: Simplified to (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 19 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 183 * * [misc]simplify: Extracting #5: cost 28 inf + 184 * * [misc]simplify: Extracting #6: cost 16 inf + 2748 * * [misc]simplify: Extracting #7: cost 0 inf + 7570 * [exit]simplify: Simplified to (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 20 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 183 * * [misc]simplify: Extracting #5: cost 28 inf + 184 * * [misc]simplify: Extracting #6: cost 16 inf + 2748 * * [misc]simplify: Extracting #7: cost 0 inf + 7570 * [exit]simplify: Simplified to (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 21 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 183 * [exit]simplify: Simplified to (- (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1)))) (- (log N)))) * * * * [misc]progress: [ 22 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (cbrt (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 183 * * [misc]simplify: Extracting #5: cost 6 inf + 183 * * [misc]simplify: Extracting #6: cost 0 inf + 1204 * [exit]simplify: Simplified to (- (log (cbrt (cbrt (+ 1 N)))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))))) (- (log (cbrt (cbrt (+ 1 N)))) (log N)))) * * * * [misc]progress: [ 23 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (sqrt (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 183 * * [misc]simplify: Extracting #5: cost 6 inf + 183 * * [misc]simplify: Extracting #6: cost 0 inf + 1044 * [exit]simplify: Simplified to (- (log (cbrt (sqrt (+ 1 N)))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (sqrt (+ N 1))))) (- (log (cbrt (sqrt (+ 1 N)))) (log N)))) * * * * [misc]progress: [ 24 / 117 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 183 * * [misc]simplify: Extracting #5: cost 0 inf + 842 * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt 1))) (- (log (cbrt (+ 1 N))) (log N)))) * * * * [misc]progress: [ 25 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (cbrt (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 183 * * [misc]simplify: Extracting #5: cost 6 inf + 183 * * [misc]simplify: Extracting #6: cost 0 inf + 1204 * [exit]simplify: Simplified to (- (log (cbrt (cbrt (+ 1 N)))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))))) (- (log (cbrt (cbrt (+ 1 N)))) (log N)))) * * * * [misc]progress: [ 26 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (cbrt (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 183 * * [misc]simplify: Extracting #5: cost 6 inf + 183 * * [misc]simplify: Extracting #6: cost 0 inf + 1084 * [exit]simplify: Simplified to (- (log (sqrt (cbrt (+ 1 N)))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (sqrt (cbrt (+ N 1))))) (- (log (sqrt (cbrt (+ 1 N)))) (log N)))) * * * * [misc]progress: [ 27 / 117 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 183 * * [misc]simplify: Extracting #5: cost 0 inf + 842 * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log 1)) (- (log (cbrt (+ 1 N))) (log N)))) * * * * [misc]progress: [ 28 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 183 * [exit]simplify: Simplified to (- (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1)))) (- (log N)))) * * * * [misc]progress: [ 29 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 358 * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (cbrt (+ 1 N))) (+ (log (cbrt (+ N 1))) (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 30 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 72 * [exit]simplify: Simplified to (log N) * [misc]simplify: Simplified (2 2) to (λ (N) (- (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1)))) (log N))) * * * * [misc]progress: [ 31 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (pow N 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 3 * * [misc]simplify: Extracting #7: cost 0 inf + 2061 * * [misc]simplify: Extracting #8: cost 0 inf + 1275 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (* (* N N) N))) (cbrt (+ 1 (* (* N N) N))))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (* (cbrt (+ 1 (* (* N N) N))) (cbrt (+ 1 (* (* N N) N))))) (- (log (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 32 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (- (* N N) (* 1 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 26 inf + 44 * * [misc]simplify: Extracting #6: cost 9 inf + 1595 * * [misc]simplify: Extracting #7: cost 4 inf + 2314 * * [misc]simplify: Extracting #8: cost 0 inf + 3582 * [exit]simplify: Simplified to (log (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (* (* N N) N))))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (* (* N N) N))))) (- (log (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1)))) (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 33 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ (pow N 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 247 * * [misc]simplify: Extracting #6: cost 4 inf + 2314 * * [misc]simplify: Extracting #7: cost 0 inf + 3582 * [exit]simplify: Simplified to (log (* (cbrt (- (* N N) 1)) (cbrt (+ (* N (* N N)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (* (cbrt (- (* N N) 1)) (cbrt (+ (* N (* N N)) 1)))) (- (log (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 34 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- (* N N) (* 1 1))) (cbrt (- (* N N) (* 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 30 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 330 * * [misc]simplify: Extracting #6: cost 7 inf + 2002 * * [misc]simplify: Extracting #7: cost 0 inf + 3196 * [exit]simplify: Simplified to (log (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1)))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1)))) (- (log (* (cbrt (- N 1)) (cbrt (- N 1)))) (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 35 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 2 * * [misc]simplify: Extracting #6: cost 4 inf + 603 * * [misc]simplify: Extracting #7: cost 1 inf + 1439 * * [misc]simplify: Extracting #8: cost 0 inf + 1871 * [exit]simplify: Simplified to (log (* (cbrt (+ (* N (* N N)) 1)) (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (* (cbrt (+ (* N (* N N)) 1)) (cbrt (+ 1 N)))) (- (log (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 36 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (- (* N N) (* 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 452 * * [misc]simplify: Extracting #6: cost 1 inf + 2948 * * [misc]simplify: Extracting #7: cost 0 inf + 3140 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ -1 (* N N))))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (* (cbrt (+ 1 N)) (cbrt (+ -1 (* N N))))) (- (log (cbrt (- N 1))) (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 37 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 2 * * [misc]simplify: Extracting #6: cost 8 inf + 86 * * [misc]simplify: Extracting #7: cost 4 inf + 603 * * [misc]simplify: Extracting #8: cost 1 inf + 1439 * * [misc]simplify: Extracting #9: cost 0 inf + 1871 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (* N (* N N)))) (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (* (cbrt (+ 1 (* N (* N N)))) (cbrt (+ 1 N)))) (- (log (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 38 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 290 * * [misc]simplify: Extracting #6: cost 3 inf + 2192 * * [misc]simplify: Extracting #7: cost 0 inf + 3138 * [exit]simplify: Simplified to (log (* (cbrt (+ N 1)) (cbrt (- (* N N) 1)))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (* (cbrt (+ N 1)) (cbrt (- (* N N) 1)))) (- (log (cbrt (- N 1))) (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 39 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 0 * * [misc]simplify: Extracting #6: cost 5 inf + 2 * * [misc]simplify: Extracting #7: cost 0 inf + 882 * [exit]simplify: Simplified to (log (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (+ (log (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (cbrt (cbrt (+ N 1))))) (log N)))) * * * * [misc]progress: [ 41 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 520 * [exit]simplify: Simplified to (log (cbrt (sqrt (+ 1 N)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ N 1))))) (log N)))) * * * * [misc]progress: [ 42 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (+ 0 (log (cbrt (+ N 1)))) (log N)))) * * * * [misc]progress: [ 43 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 0 * * [misc]simplify: Extracting #6: cost 6 inf + 2 * * [misc]simplify: Extracting #7: cost 0 inf + 1194 * [exit]simplify: Simplified to (log (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (+ (log (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) (log (cbrt (cbrt (+ N 1))))) (log N)))) * * * * [misc]progress: [ 44 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 560 * [exit]simplify: Simplified to (log (sqrt (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (+ (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ N 1))))) (log N)))) * * * * [misc]progress: [ 45 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (+ 0 (log (cbrt (+ N 1)))) (log N)))) * * * * [misc]progress: [ 46 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (pow N 3) (pow 1 3)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 1245 * * [misc]simplify: Extracting #7: cost 0 inf + 721 * [exit]simplify: Simplified to (log (cbrt (+ 1 (* N (* N N))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (- (log (cbrt (+ 1 (* N (* N N))))) (log (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (log N)))) * * * * [misc]progress: [ 47 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (* N N) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 3 * * [misc]simplify: Extracting #5: cost 14 inf + 333 * * [misc]simplify: Extracting #6: cost 1 inf + 1878 * * [misc]simplify: Extracting #7: cost 0 inf + 2110 * [exit]simplify: Simplified to (log (cbrt (- (* N N) 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (- (log (cbrt (- (* N N) 1))) (log (cbrt (- N 1)))) (log N)))) * * * * [misc]progress: [ 48 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 166 * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ 1 N))) (log N)))) * * * * [misc]progress: [ 52 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 358 * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 59 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (pow N 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 3 * * [misc]simplify: Extracting #7: cost 0 inf + 2061 * * [misc]simplify: Extracting #8: cost 0 inf + 1275 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (* (* N N) N))) (cbrt (+ 1 (* (* N N) N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (* (cbrt (+ 1 (* (* N N) N))) (cbrt (+ 1 (* (* N N) N))))) (log (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 60 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (- (* N N) (* 1 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 26 inf + 44 * * [misc]simplify: Extracting #6: cost 9 inf + 1595 * * [misc]simplify: Extracting #7: cost 4 inf + 2314 * * [misc]simplify: Extracting #8: cost 0 inf + 3582 * [exit]simplify: Simplified to (log (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (* (* N N) N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (* (* N N) N))))) (log (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1))))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 61 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ (pow N 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 247 * * [misc]simplify: Extracting #6: cost 4 inf + 2314 * * [misc]simplify: Extracting #7: cost 0 inf + 3582 * [exit]simplify: Simplified to (log (* (cbrt (- (* N N) 1)) (cbrt (+ (* N (* N N)) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (* (cbrt (- (* N N) 1)) (cbrt (+ (* N (* N N)) 1)))) (log (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 62 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- (* N N) (* 1 1))) (cbrt (- (* N N) (* 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 30 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 330 * * [misc]simplify: Extracting #6: cost 7 inf + 2002 * * [misc]simplify: Extracting #7: cost 0 inf + 3196 * [exit]simplify: Simplified to (log (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1)))) (log (* (cbrt (- N 1)) (cbrt (- N 1))))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 63 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 2 * * [misc]simplify: Extracting #6: cost 4 inf + 603 * * [misc]simplify: Extracting #7: cost 1 inf + 1439 * * [misc]simplify: Extracting #8: cost 0 inf + 1871 * [exit]simplify: Simplified to (log (* (cbrt (+ (* N (* N N)) 1)) (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (* (cbrt (+ (* N (* N N)) 1)) (cbrt (+ 1 N)))) (log (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 64 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (- (* N N) (* 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 452 * * [misc]simplify: Extracting #6: cost 1 inf + 2948 * * [misc]simplify: Extracting #7: cost 0 inf + 3140 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ -1 (* N N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (* (cbrt (+ 1 N)) (cbrt (+ -1 (* N N))))) (log (cbrt (- N 1)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 65 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 2 * * [misc]simplify: Extracting #6: cost 8 inf + 86 * * [misc]simplify: Extracting #7: cost 4 inf + 603 * * [misc]simplify: Extracting #8: cost 1 inf + 1439 * * [misc]simplify: Extracting #9: cost 0 inf + 1871 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (* N (* N N)))) (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (* (cbrt (+ 1 (* N (* N N)))) (cbrt (+ 1 N)))) (log (cbrt (+ (* N N) (- (* 1 1) (* N 1)))))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 66 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 290 * * [misc]simplify: Extracting #6: cost 3 inf + 2192 * * [misc]simplify: Extracting #7: cost 0 inf + 3138 * [exit]simplify: Simplified to (log (* (cbrt (+ N 1)) (cbrt (- (* N N) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (- (log (* (cbrt (+ N 1)) (cbrt (- (* N N) 1)))) (log (cbrt (- N 1)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 67 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2/3 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (* 2/3 (log (+ N 1))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 68 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (* 2 (log (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 69 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (* 2 (log (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 73 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 358 * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (+ (log (cbrt (+ 1 N))) (log (cbrt (+ N 1)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 76 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 77 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 328 * [exit]simplify: Simplified to (/ (cbrt (+ 1 N)) N) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (/ (cbrt (+ 1 N)) N)))) * * * * [misc]progress: [ 84 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log (cbrt (+ N 1)))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 183 * * [misc]simplify: Extracting #6: cost 0 inf + 1154 * [exit]simplify: Simplified to (+ (sqrt (log (cbrt (+ 1 N)))) (sqrt (log N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (+ (sqrt (log (cbrt (+ 1 N)))) (sqrt (log N))) (- (sqrt (log (cbrt (+ N 1)))) (sqrt (log N)))))) * [enter]simplify: Simplifying (- (sqrt (log (cbrt (+ N 1)))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 334 * * [misc]simplify: Extracting #6: cost 0 inf + 1305 * [exit]simplify: Simplified to (- (sqrt (log (cbrt (+ 1 N)))) (sqrt (log N))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (+ (sqrt (log (cbrt (+ N 1)))) (sqrt (log N))) (- (sqrt (log (cbrt (+ 1 N)))) (sqrt (log N)))))) * * * * [misc]progress: [ 95 / 117 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 183 * * [misc]simplify: Extracting #5: cost 0 inf + 842 * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* 1 (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 96 / 117 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 183 * * [misc]simplify: Extracting #5: cost 0 inf + 842 * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* 1 (- (log (cbrt (+ 1 N))) (log N))))) * * * * [misc]progress: [ 97 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 0 * * [misc]simplify: Extracting #6: cost 5 inf + 2 * * [misc]simplify: Extracting #7: cost 0 inf + 882 * [exit]simplify: Simplified to (log (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (+ (log (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (- (log (cbrt (cbrt (+ N 1)))) (log N))))) * * * * [misc]progress: [ 98 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 520 * [exit]simplify: Simplified to (log (cbrt (sqrt (+ 1 N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (+ (log (cbrt (sqrt (+ 1 N)))) (- (log (cbrt (sqrt (+ N 1)))) (log N))))) * * * * [misc]progress: [ 99 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (+ 0 (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 100 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 0 * * [misc]simplify: Extracting #6: cost 6 inf + 2 * * [misc]simplify: Extracting #7: cost 0 inf + 1194 * [exit]simplify: Simplified to (log (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (+ (log (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) (- (log (cbrt (cbrt (+ N 1)))) (log N))))) * * * * [misc]progress: [ 101 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 560 * [exit]simplify: Simplified to (log (sqrt (cbrt (+ 1 N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (+ (log (sqrt (cbrt (+ 1 N)))) (- (log (sqrt (cbrt (+ N 1)))) (log N))))) * * * * [misc]progress: [ 102 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (+ 0 (- (log (cbrt (+ N 1))) (log N))))) * * * * [misc]progress: [ 103 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (pow N 3) (pow 1 3)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 1245 * * [misc]simplify: Extracting #7: cost 0 inf + 721 * [exit]simplify: Simplified to (log (cbrt (+ 1 (* N (* N N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (+ 1 (* N (* N N))))) (+ (log (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) (log N))))) * * * * [misc]progress: [ 104 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (* N N) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 3 * * [misc]simplify: Extracting #5: cost 14 inf + 333 * * [misc]simplify: Extracting #6: cost 1 inf + 1878 * * [misc]simplify: Extracting #7: cost 0 inf + 2110 * [exit]simplify: Simplified to (log (cbrt (- (* N N) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (log (cbrt (- (* N N) 1))) (+ (log (cbrt (- N 1))) (log N))))) * * * * [misc]progress: [ 105 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 117 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 335 * * [misc]simplify: Extracting #3: cost 13 inf + 2535 * * [misc]simplify: Extracting #4: cost 2 inf + 4145 * * [misc]simplify: Extracting #5: cost 0 inf + 4380 * [exit]simplify: Simplified to (- N (+ (log N) (* (* N N) 1/2))) * [misc]simplify: Simplified (2) to (λ (N) (- N (+ (log N) (* (* N N) 1/2)))) * * * * [misc]progress: [ 107 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 1 N)) (+ (/ 1 N) (+ (log (pow (/ 1 N) -1/3)) (log (pow (pow N 2) 1/3))))) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 108 inf + 0 * * [misc]simplify: Extracting #2: cost 238 inf + 1 * * [misc]simplify: Extracting #3: cost 217 inf + 3180 * * [misc]simplify: Extracting #4: cost 70 inf + 40487 * * [misc]simplify: Extracting #5: cost 4 inf + 56434 * * [misc]simplify: Extracting #6: cost 0 inf + 56647 * * [misc]simplify: Extracting #7: cost 0 inf + 56646 * [exit]simplify: Simplified to (+ (/ -1/2 (* N N)) (+ (* 1/3 (+ (+ (log N) (log N)) (log N))) (- (/ 1 N) (log N)))) * [misc]simplify: Simplified (2) to (λ (N) (+ (/ -1/2 (* N N)) (+ (* 1/3 (+ (+ (log N) (log N)) (log N))) (- (/ 1 N) (log N))))) * * * * [misc]progress: [ 108 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (+ (* 2/3 (log (/ -1 N))) (log (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2)))) (+ (* 1/2 (/ 1 (pow N 2))) (* 2/3 (log -1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 74 inf + 0 * * [misc]simplify: Extracting #2: cost 269 inf + 0 * * [misc]simplify: Extracting #3: cost 284 inf + 1119 * * [misc]simplify: Extracting #4: cost 233 inf + 11313 * * [misc]simplify: Extracting #5: cost 89 inf + 60609 * * [misc]simplify: Extracting #6: cost 2 inf + 97662 * * [misc]simplify: Extracting #7: cost 0 inf + 98662 * [exit]simplify: Simplified to (+ (+ (+ (/ 1 N) (* (log N) 2/3)) (* 2/3 (- (log (/ -1 N)) (log -1)))) (/ -1/2 (* N N))) * [misc]simplify: Simplified (2) to (λ (N) (+ (+ (+ (/ 1 N) (* (log N) 2/3)) (* 2/3 (- (log (/ -1 N)) (log -1)))) (/ -1/2 (* N N)))) * * * * [misc]progress: [ 109 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 N) (* 1/9 (pow N 3))) (* 1/6 (pow N 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 42 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1028 * * [misc]simplify: Extracting #4: cost 2 inf + 3936 * * [misc]simplify: Extracting #5: cost 0 inf + 4102 * [exit]simplify: Simplified to (* N (- 1/3 (* N (- 1/6 (* 1/9 N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (* N (- 1/3 (* N (- 1/6 (* 1/9 N))))) (log N)))) * * * * [misc]progress: [ 110 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 N)) (log (pow (/ 1 N) -1/3))) (* 1/6 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 366 * * [misc]simplify: Extracting #4: cost 7 inf + 2774 * * [misc]simplify: Extracting #5: cost 1 inf + 3840 * * [misc]simplify: Extracting #6: cost 0 inf + 4093 * [exit]simplify: Simplified to (- (/ 1/3 N) (- (/ 1/6 (* N N)) (* (log N) 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (- (/ 1/3 N) (- (/ 1/6 (* N N)) (* (log N) 1/3))) (log N)))) * * * * [misc]progress: [ 111 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 N)) (* 1/3 (log -1))) (+ (* 1/6 (/ 1 (pow N 2))) (* 1/3 (log (/ -1 N))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 65 inf + 0 * * [misc]simplify: Extracting #2: cost 138 inf + 0 * * [misc]simplify: Extracting #3: cost 144 inf + 48 * * [misc]simplify: Extracting #4: cost 101 inf + 6545 * * [misc]simplify: Extracting #5: cost 18 inf + 27545 * * [misc]simplify: Extracting #6: cost 0 inf + 33031 * * [misc]simplify: Extracting #7: cost 0 inf + 31921 * [exit]simplify: Simplified to (+ (+ (- (/ 1/3 N) (/ 1/6 (* N N))) 0) (* 1/3 (log N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (+ (+ (- (/ 1/3 N) (/ 1/6 (* N N))) 0) (* 1/3 (log N))) (log N)))) * * * * [misc]progress: [ 112 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 N) (* 2/9 (pow N 3))) (* 1/3 (pow N 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 42 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1028 * * [misc]simplify: Extracting #4: cost 2 inf + 3936 * * [misc]simplify: Extracting #5: cost 0 inf + 4102 * [exit]simplify: Simplified to (* N (- 2/3 (* N (- 1/3 (* 2/9 N))))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (* N (- 2/3 (* N (- 1/3 (* 2/9 N))))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 113 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 (/ 1 N)) (log (pow (pow N 2) 1/3))) (* 1/3 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 50 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 545 * * [misc]simplify: Extracting #4: cost 14 inf + 3962 * * [misc]simplify: Extracting #5: cost 0 inf + 6696 * [exit]simplify: Simplified to (+ (+ (* (log N) 2/3) (/ -1/3 (* N N))) (/ 2/3 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (+ (* (log N) 2/3) (/ -1/3 (* N N))) (/ 2/3 N)) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 114 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 (/ 1 N)) (log (pow (exp (* 1/3 (- (log -1) (log (/ -1 N))))) 2))) (* 1/3 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 69 inf + 0 * * [misc]simplify: Extracting #2: cost 277 inf + 0 * * [misc]simplify: Extracting #3: cost 318 inf + 1687 * * [misc]simplify: Extracting #4: cost 289 inf + 7658 * * [misc]simplify: Extracting #5: cost 179 inf + 33256 * * [misc]simplify: Extracting #6: cost 20 inf + 77334 * * [misc]simplify: Extracting #7: cost 0 inf + 81414 * * [misc]simplify: Extracting #8: cost 0 inf + 81374 * [exit]simplify: Simplified to (- (+ (/ 2/3 N) (* 2/3 (log N))) (/ 1/3 (* N N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (+ (/ 2/3 N) (* 2/3 (log N))) (/ 1/3 (* N N))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 115 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/3 N) (+ (log N) (* 1/6 (pow N 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 39 inf + 5 * * [misc]simplify: Extracting #4: cost 15 inf + 2458 * * [misc]simplify: Extracting #5: cost 0 inf + 4742 * [exit]simplify: Simplified to (- (* N (+ 1/3 (* -1/6 N))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (* N (+ 1/3 (* -1/6 N))) (log N)))) * * * * [misc]progress: [ 116 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 1 N)) (+ (* 1/3 (/ 1 N)) (log (pow (/ 1 N) -1/3)))) (* 1/6 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 54 inf + 0 * * [misc]simplify: Extracting #2: cost 160 inf + 1 * * [misc]simplify: Extracting #3: cost 153 inf + 258 * * [misc]simplify: Extracting #4: cost 72 inf + 11236 * * [misc]simplify: Extracting #5: cost 4 inf + 25703 * * [misc]simplify: Extracting #6: cost 0 inf + 26996 * [exit]simplify: Simplified to (- (* -2/3 (log N)) (- (/ (/ 1/6 N) N) (/ 1/3 N))) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (* -2/3 (log N)) (- (/ (/ 1/6 N) N) (/ 1/3 N))))) * * * * [misc]progress: [ 117 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 N)) (* 2/3 (log (/ -1 N)))) (+ (* 1/6 (/ 1 (pow N 2))) (* 2/3 (log -1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 68 inf + 0 * * [misc]simplify: Extracting #2: cost 144 inf + 0 * * [misc]simplify: Extracting #3: cost 140 inf + 328 * * [misc]simplify: Extracting #4: cost 116 inf + 2728 * * [misc]simplify: Extracting #5: cost 94 inf + 6807 * * [misc]simplify: Extracting #6: cost 34 inf + 24040 * * [misc]simplify: Extracting #7: cost 3 inf + 33149 * * [misc]simplify: Extracting #8: cost 0 inf + 34163 * [exit]simplify: Simplified to (+ (+ (* (log N) -2/3) 0) (- (/ 1/3 N) (/ (/ 1/6 N) N))) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (+ (+ (* (log N) -2/3) 0) (- (/ 1/3 N) (/ (/ 1/6 N) N))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # #) * * * [misc]regime-changes: Trying 1 branch expressions: (N) * * * * [misc]regimes: Trying to branch on N from (# # # #) * * * [misc]regime: Found split indices: #