* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 131 additional inputs, on iter 1 have 125 / 256 * * * * [misc]points: Computing exacts on every 8 of 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 131 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 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 131 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 61 additional inputs, on iter 2 have 195 / 256 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 61 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 32 additional inputs, on iter 3 have 224 / 256 * * * * [misc]points: Computing exacts on every 2 of 32 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 32 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 4 have 240 / 256 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 5 have 246 / 256 * * * * [misc]points: Computing exacts for 10 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 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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 1 into 1 * [misc]backup-simplify: Simplify 0 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 1 into 1 * [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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 1/3 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)) N)) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 N) (* -1 (log (/ 1 N))))) into (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (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 into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * * [misc]progress: [ 2 / 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 1 into 1 * [misc]backup-simplify: Simplify 0 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 0 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 1 into 1 * [misc]backup-simplify: Simplify 0 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 0 into 0 * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ 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 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (* -1 (log N))) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (- (* 2 (log N))) into (- (* 2 (log N))) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 N) (- (* 2 (log (/ 1 N)))))) into (- (/ 1 N) (+ (* 2 (log (/ 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 into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (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 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 into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (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 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 -1) (log N)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log -1) (log N))) into (- (* 2 (log -1)) (* 2 (log N))) * [misc]backup-simplify: Simplify (- (* 2 (log -1)) (* 2 (log N))) into (- (* 2 (log -1)) (* 2 (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 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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))) (- (* 2 (log -1)) (* 2 (log (/ 1 (- N))))))) into (- (+ (* 2 (log -1)) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (* 2 (log (/ -1 N))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to N * [exit]simplify: Simplified to N * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (log1p N)) * [exit]simplify: Simplified to (log1p (log1p N)) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (pow N 3)) * [exit]simplify: Simplified to (log1p (pow N 3)) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (fma N N (- 1 N))) * [exit]simplify: Simplified to (log (fma N N (- 1 N))) * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log (log1p N)) * [exit]simplify: Simplified to (log (log1p N)) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (cbrt (log1p N)) * [exit]simplify: Simplified to (cbrt (log1p N)) * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (log1p N) 3) * [exit]simplify: Simplified to (pow (log1p N) 3) * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [enter]simplify: Simplifying (cbrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log (+ N 1)) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [exit]simplify: Simplified to (fma (- (log N)) (* (log N) (log N)) (pow (log1p N) 3)) * [enter]simplify: Simplifying (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (fma (log N) (+ (log N) (log1p N)) (* (log1p N) (log1p N))) * [exit]simplify: Simplified to (fma (log N) (+ (log N) (log1p N)) (* (log1p N) (log1p N))) * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (- (log1p N) (log N)) (+ (log N) (log1p N))) * [exit]simplify: Simplified to (* (- (log1p N) (log N)) (+ (log N) (log1p N))) * [enter]simplify: Simplifying (+ (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 N))) (log N)) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 N))) (log N)) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (+ (log N) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (+ (log N) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log (- N 1)) (log N)) * [exit]simplify: Simplified to (+ (log (- N 1)) (log N)) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (fma (* N N) (- (* N 1/3) 1/2) (- N (log N))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (fma (/ 1 N) (/ 1/2 N) 0)) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (log N)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1 N) 0) (/ (/ 1/2 N) N)) 0) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N (log N)) (* 1/2 (pow N 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (- (+ (log N) N) (* 1/2 (* N N))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 2 (log (/ 1 N))) (* 1/2 (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * [exit]simplify: Simplified to (- (fma 2 (log N) (/ 1 N)) (/ (/ 1/2 N) N)) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (log -1)) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (* 2 (log (/ -1 N))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 1 N) 0) (* 2 (log N))) (/ 1/2 (* N 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 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ N (* -1 (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 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/3 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 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 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-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 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 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 1 into 1 * [misc]backup-simplify: Simplify 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 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (/ 1 N)) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (/ 1 N)) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking 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 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* -1 (/ 1 (- N)))) into (+ 1 (/ 1 N)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) * [enter]simplify: Simplifying (log (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (cbrt (/ (+ 1 N) N))) * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * [enter]simplify: Simplifying (log (/ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [enter]simplify: Simplifying (cbrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ (+ 1 N) N)) * [exit]simplify: Simplified to (expm1 (/ (+ 1 N) N)) * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log1p (/ (+ 1 N) N)) * [exit]simplify: Simplified to (log1p (/ (+ 1 N) N)) * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp (/ (+ 1 N) N)) * [exit]simplify: Simplified to (exp (/ (+ 1 N) N)) * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) * [enter]simplify: Simplifying (cbrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (cbrt (/ (+ 1 N) N)) * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (pow (/ (+ 1 N) N) 3) * [exit]simplify: Simplified to (pow (/ (+ 1 N) N) 3) * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ 1 N)) * [exit]simplify: Simplified to (- (+ 1 N)) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ N (+ 1 N)) * [exit]simplify: Simplified to (/ N (+ 1 N)) * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (cbrt (+ 1 N))) * [exit]simplify: Simplified to (/ N (cbrt (+ 1 N))) * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (sqrt (+ 1 N))) * [exit]simplify: Simplified to (/ N (sqrt (+ 1 N))) * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ N (+ 1 N)) * [exit]simplify: Simplified to (/ N (+ 1 N)) * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (fma N (- 1 N) (pow N 3)) * [exit]simplify: Simplified to (fma N (- 1 N) (pow N 3)) * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (- N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* N N) N) * [exit]simplify: Simplified to (- (* N N) N) * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- N (fma (* N 1/2) N (log N))) * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ 1 N)) * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ 1 N)) * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ 1 N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ N (* -1 (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/3 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 N))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (/ 1 (- N))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (/ 1 (- N))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log1p (log1p (/ 1 N))) * [exit]simplify: Simplified to (log1p (log1p (/ 1 N))) * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (log1p (/ 1 N))) * [exit]simplify: Simplified to (log (log1p (/ 1 N))) * * * * [misc]progress: [ 7 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (log1p (/ 1 N))) * [exit]simplify: Simplified to (exp (log1p (/ 1 N))) * * * * [misc]progress: [ 8 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (/ 1 N))) (cbrt (log1p (/ 1 N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (/ 1 N))) (cbrt (log1p (/ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (log1p (/ 1 N))) (cbrt (log1p (/ 1 N)))) * [enter]simplify: Simplifying (cbrt (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (log1p (/ 1 N))) * [exit]simplify: Simplified to (cbrt (log1p (/ 1 N))) * * * * [misc]progress: [ 9 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (/ 1 N)) (log1p (/ 1 N))) (log1p (/ 1 N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (pow (log1p (/ 1 N)) 3) * [exit]simplify: Simplified to (pow (log1p (/ 1 N)) 3) * * * * [misc]progress: [ 10 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (log1p (/ 1 N))) * [exit]simplify: Simplified to (sqrt (log1p (/ 1 N))) * [enter]simplify: Simplifying (sqrt (log1p (/ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (log1p (/ 1 N))) * [exit]simplify: Simplified to (sqrt (log1p (/ 1 N))) * * * * [misc]progress: [ 11 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- N (fma (* N 1/2) N (log N))) * * * * [misc]progress: [ 13 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 14 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (log (fma N N (- 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (fma N N (- 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma N N (- 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* N N) (- 1 N)) * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]taylor: Taking taylor expansion of (log (fma N N (- 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma N N (- 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* N N) (- 1 N)) * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow N 3)) (+ (* 1/2 (pow N 2)) (* -1 N))) into (- (+ (* 2/3 (pow N 3)) (* 1/2 (pow N 2))) N) * [misc]approximate: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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)) (* -2 (log (/ 1 N))))) into (- (* 1/2 (/ 1 (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 N))) * [misc]approximate: Taking taylor expansion of (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- N)) (/ 1 (- N))) (- 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- N)) (/ 1 (- N))) (- 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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 (- N)) (* -2 (log (/ 1 (- N)))))) into (- (* 1/2 (/ 1 (pow N 2))) (+ (* 2 (log (/ -1 N))) (/ 1 N))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)) in N * [misc]taylor: Taking taylor expansion of (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow N 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow N 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (fma N N (- 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma N N (- 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* N N) (- 1 N)) * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [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 0 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 0 into 0 * [misc]taylor: Taking taylor expansion of (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)) in N * [misc]taylor: Taking taylor expansion of (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow N 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow N 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (fma N N (- 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma N N (- 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* N N) (- 1 N)) * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [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 0 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 into 1 * [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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -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 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ N (log N))) into (- (+ N (log N)) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (- (- (log1p (pow (/ 1 N) 3)) (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))))) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (- (log1p (pow (/ 1 N) 3)) (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- (log1p (pow (/ 1 N) 3)) (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 N) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* 3 (* -1 (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (+ 1 (pow N -3)) into (+ 1 (pow N -3)) * [misc]backup-simplify: Simplify (log (+ 1 (pow N -3))) into (log (+ 1 (pow N -3))) * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (- (- (log1p (pow (/ 1 N) 3)) (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- (log1p (pow (/ 1 N) 3)) (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 N) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* 3 (* -1 (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (+ 1 (pow N -3)) into (+ 1 (pow N -3)) * [misc]backup-simplify: Simplify (log (+ 1 (pow N -3))) into (log (+ 1 (pow N -3))) * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (+ (log (+ 1 (pow N -3))) (* -2 (log N))) into (- (log (+ 1 (pow N -3))) (* 2 (log N))) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ (- (log (+ 1 (pow N -3))) (* 2 (log N))) (* -1 (log N))) into (- (log (+ 1 (pow N -3))) (* 3 (log N))) * [misc]backup-simplify: Simplify (- (log (+ 1 (pow N -3))) (* 3 (log N))) into (- (log (+ 1 (pow N -3))) (* 3 (log N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (+ 1 (pow N -3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (+ 1 (pow N -3)) 2))) (/ 0 (+ 1 (pow N -3)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 N) (- (log (+ 1 (pow (/ 1 N) -3))) (* 3 (log (/ 1 N)))))) into (- (+ (log (+ (pow (/ 1 N) -3) 1)) (/ 1 N)) (+ (* 3 (log (/ 1 N))) (* 1/2 (/ 1 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (- (- (log1p (pow (/ 1 (- N)) 3)) (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))))) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (- (log1p (pow (/ 1 (- N)) 3)) (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- (log1p (pow (/ 1 (- N)) 3)) (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 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 (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 3 (- (log -1) (log N))))) into (+ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) into (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- N)) (/ 1 (- N))) (- 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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]taylor: Taking 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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (- (log1p (pow (/ 1 (- N)) 3)) (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- (log1p (pow (/ 1 (- N)) 3)) (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 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 (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 3 (- (log -1) (log N))))) into (+ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) into (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- N)) (/ 1 (- N))) (- 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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]taylor: Taking 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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (+ (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (* -2 (log N))) into (- (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (* 2 (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 -1) (log N)) * [misc]backup-simplify: Simplify (+ (- (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (* 2 (log N))) (- (log -1) (log N))) into (- (+ (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (log -1)) (* 3 (log N))) * [misc]backup-simplify: Simplify (- (+ (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (log -1)) (* 3 (log N))) into (- (+ (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (log -1)) (* 3 (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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N)))))) 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -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 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N))))))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 (exp (* 3 (- (log -1) (log (/ 1 (- N)))))))) (log -1)) (* 3 (log (/ 1 (- N))))))) into (- (+ (log (+ (exp (* 3 (- (log -1) (log (/ -1 N))))) 1)) (+ (log -1) (/ 1 N))) (+ (* 3 (log (/ -1 N))) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log1p (pow N 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (pow N 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow N 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (pow N 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow N 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 9)) (+ (* -1/2 (pow N 6)) (pow N 3))) into (- (+ (* 1/3 (pow N 9)) (pow N 3)) (* 1/2 (pow N 6))) * [misc]approximate: Taking taylor expansion of (log1p (pow (/ 1 N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 N) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* 3 (* -1 (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (+ 1 (pow N -3)) into (+ 1 (pow N -3)) * [misc]backup-simplify: Simplify (log (+ 1 (pow N -3))) into (log (+ 1 (pow N -3))) * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 N) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* 3 (* -1 (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (+ 1 (pow N -3)) into (+ 1 (pow N -3)) * [misc]backup-simplify: Simplify (log (+ 1 (pow N -3))) into (log (+ 1 (pow N -3))) * [misc]backup-simplify: Simplify (log (+ 1 (pow N -3))) into (log (+ 1 (pow N -3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (+ 1 (pow N -3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (+ 1 (pow N -3)) 2))) (/ 0 (+ 1 (pow N -3)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (+ 1 (pow N -3)) 3))) (+ (* -3 (/ 0 (pow (+ 1 (pow N -3)) 2))) (/ 0 (+ 1 (pow N -3))))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (+ 1 (pow N -3)) 4))) (+ (* 12 (/ 0 (pow (+ 1 (pow N -3)) 3))) (+ (* -3 (/ 0 (pow (+ 1 (pow N -3)) 2))) (+ (* -4 (/ 0 (pow (+ 1 (pow N -3)) 2))) (/ 0 (+ 1 (pow N -3))))))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (+ 1 (pow N -3)) 5))) (+ (* -60 (/ 0 (pow (+ 1 (pow N -3)) 4))) (+ (* 30 (/ 0 (pow (+ 1 (pow N -3)) 3))) (+ (* 20 (/ 0 (pow (+ 1 (pow N -3)) 3))) (+ (* -10 (/ 0 (pow (+ 1 (pow N -3)) 2))) (+ (* -5 (/ 0 (pow (+ 1 (pow N -3)) 2))) (/ 0 (+ 1 (pow N -3))))))))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (+ 1 (pow N -3)) 6))) (+ (* 360 (/ 0 (pow (+ 1 (pow N -3)) 5))) (+ (* -270 (/ 0 (pow (+ 1 (pow N -3)) 4))) (+ (* -120 (/ 0 (pow (+ 1 (pow N -3)) 4))) (+ (* 30 (/ 0 (pow (+ 1 (pow N -3)) 3))) (+ (* 120 (/ 0 (pow (+ 1 (pow N -3)) 3))) (+ (* 30 (/ 0 (pow (+ 1 (pow N -3)) 3))) (+ (* -10 (/ 0 (pow (+ 1 (pow N -3)) 2))) (+ (* -15 (/ 0 (pow (+ 1 (pow N -3)) 2))) (+ (* -6 (/ 0 (pow (+ 1 (pow N -3)) 2))) (/ 0 (+ 1 (pow N -3))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (pow (/ 1 N) -3))) into (log (+ (pow (/ 1 N) -3) 1)) * [misc]approximate: Taking taylor expansion of (log1p (pow (/ 1 (- N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 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 (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 3 (- (log -1) (log N))))) into (+ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) into (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 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 (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 3 (- (log -1) (log N))))) into (+ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) into (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) into (log (+ 1 (exp (* 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N)))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N))))))) 2) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 3))) (+ (* -3 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N)))))))) 6) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 4))) (+ (* 12 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 3))) (+ (* -3 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (+ (* -4 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N)))))))))) 24) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 5))) (+ (* -60 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 4))) (+ (* 30 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 3))) (+ (* 20 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 3))) (+ (* -10 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (+ (* -5 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N)))))))))))) 120) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 6))) (+ (* 360 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 5))) (+ (* -270 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 4))) (+ (* -120 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 4))) (+ (* 30 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 3))) (+ (* 120 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 3))) (+ (* 30 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 3))) (+ (* -10 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (+ (* -15 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (+ (* -6 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N)))))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 3 (- (log -1) (log (/ 1 (- N)))))))) into (log (+ (exp (* 3 (- (log -1) (log (/ -1 N))))) 1)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow N 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow N 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (fma N N (- 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma N N (- 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* N N) (- 1 N)) * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]taylor: Taking taylor expansion of (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow N 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow N 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (fma N N (- 1 N))) in N * [misc]taylor: Taking taylor expansion of (fma N N (- 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* N N) (- 1 N)) * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify 1/3 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)) N)) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (- (log1p (pow (/ 1 N) 3)) (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (pow (/ 1 N) 3)) (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 N) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* 3 (* -1 (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (+ 1 (pow N -3)) into (+ 1 (pow N -3)) * [misc]backup-simplify: Simplify (log (+ 1 (pow N -3))) into (log (+ 1 (pow N -3))) * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (- (log1p (pow (/ 1 N) 3)) (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 N) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* 3 (* -1 (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (+ 1 (pow N -3)) into (+ 1 (pow N -3)) * [misc]backup-simplify: Simplify (log (+ 1 (pow N -3))) into (log (+ 1 (pow N -3))) * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (+ (log (+ 1 (pow N -3))) (* -2 (log N))) into (- (log (+ 1 (pow N -3))) (* 2 (log N))) * [misc]backup-simplify: Simplify (- (log (+ 1 (pow N -3))) (* 2 (log N))) into (- (log (+ 1 (pow N -3))) (* 2 (log N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (+ 1 (pow N -3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (+ 1 (pow N -3)) 2))) (/ 0 (+ 1 (pow N -3)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -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 N) (- (log (+ 1 (pow (/ 1 N) -3))) (* 2 (log (/ 1 N)))))) into (- (+ (log (+ (pow (/ 1 N) -3) 1)) (/ 1 N)) (+ (* 2 (log (/ 1 N))) (* 1/2 (/ 1 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (- (log1p (pow (/ 1 (- N)) 3)) (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (pow (/ 1 (- N)) 3)) (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 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 (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 3 (- (log -1) (log N))))) into (+ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) into (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- N)) (/ 1 (- N))) (- 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (- (log1p (pow (/ 1 (- N)) 3)) (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (log1p (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 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 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 (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 3 (- (log -1) (log N))))) into (+ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) into (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (/ 1 (- N)) (- 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- N)) (/ 1 (- N))) (- 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (* -2 (log N)) into (* -2 (log N)) * [misc]backup-simplify: Simplify (+ (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (* -2 (log N))) into (- (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (* 2 (log N))) * [misc]backup-simplify: Simplify (- (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (* 2 (log N))) into (- (log (+ 1 (exp (* 3 (- (log -1) (log N)))))) (* 2 (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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N)))))) 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (+ 1 (exp (* 3 (- (log -1) (log N))))) 2))) (/ 0 (+ 1 (exp (* 3 (- (log -1) (log N))))))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -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 (exp (* 3 (- (log -1) (log (/ 1 (- N)))))))) (* 2 (log (/ 1 (- N))))))) into (- (+ (log (+ (exp (* 3 (- (log -1) (log (/ -1 N))))) 1)) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (* 2 (log (/ -1 N))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (- (* N N) N) * [exit]simplify: Simplified to (- (* N N) N) * * * * [misc]progress: [ 2 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (log1p (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (log1p (log (- (fma N N 1) N))) * * * * [misc]progress: [ 3 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (fma N N (- 1 N))) (cbrt (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (log (* (cbrt (- (fma N N 1) N)) (cbrt (- (fma N N 1) N)))) * [exit]simplify: Simplified to (log (* (cbrt (- (fma N N 1) N)) (cbrt (- (fma N N 1) N)))) * [enter]simplify: Simplifying (log (cbrt (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (log (cbrt (- (fma N N 1) N))) * [exit]simplify: Simplified to (log (cbrt (- (fma N N 1) N))) * * * * [misc]progress: [ 4 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (log (sqrt (- (fma N N 1) N))) * [exit]simplify: Simplified to (log (sqrt (- (fma N N 1) N))) * [enter]simplify: Simplifying (log (sqrt (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (log (sqrt (- (fma N N 1) N))) * [exit]simplify: Simplified to (log (sqrt (- (fma N N 1) N))) * * * * [misc]progress: [ 5 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (fma N N (- 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (fma N N (- 1 N))) * [exit]simplify: Simplified to (log (fma N N (- 1 N))) * * * * [misc]progress: [ 6 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma N N (- 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (fma N N (- 1 N))) * [exit]simplify: Simplified to (log (fma N N (- 1 N))) * * * * [misc]progress: [ 7 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (log (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (log (log (- (fma N N 1) N))) * * * * [misc]progress: [ 10 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (- (fma N N 1) N) * [exit]simplify: Simplified to (- (fma N N 1) N) * * * * [misc]progress: [ 11 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))) * [enter]simplify: Simplifying (cbrt (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (cbrt (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (cbrt (log (- (fma N N 1) N))) * * * * [misc]progress: [ 12 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (fma N N (- 1 N))) (log (fma N N (- 1 N)))) (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (log (fma N N (- 1 N))) 3) * [exit]simplify: Simplified to (pow (log (fma N N (- 1 N))) 3) * * * * [misc]progress: [ 13 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (sqrt (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (sqrt (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (sqrt (log (- (fma N N 1) N))) * * * * [misc]progress: [ 14 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N)))))) (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 16 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N)))))) (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 17 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N)))))) (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 18 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 19 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 20 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 21 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 22 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 23 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 24 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (+ (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) (- (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * [exit]simplify: Simplified to (fma (+ (sqrt (log (- (fma N N 1) N))) (sqrt (log1p (pow N 3)))) (- (sqrt (log1p (pow N 3))) (sqrt (log (- (fma N N 1) N)))) (- (log N))) * [exit]simplify: Simplified to (fma (+ (sqrt (log (- (fma N N 1) N))) (sqrt (log1p (pow N 3)))) (- (sqrt (log1p (pow N 3))) (sqrt (log (- (fma N N 1) N)))) (- (log N))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 25 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (+ (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) (- (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (fma (+ (sqrt (log (fma N N (- 1 N)))) (sqrt (log1p (pow N 3)))) (- (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) (- (log N))) * [exit]simplify: Simplified to (fma (+ (sqrt (log (fma N N (- 1 N)))) (sqrt (log1p (pow N 3)))) (- (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) (- (log N))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 26 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (+ (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) (- (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (fma (- (sqrt (log1p (pow N 3))) (sqrt (log (- (fma N N 1) N)))) (+ (sqrt (log (- (fma N N 1) N))) (sqrt (log1p (pow N 3)))) (- (log N))) * [exit]simplify: Simplified to (fma (- (sqrt (log1p (pow N 3))) (sqrt (log (- (fma N N 1) N)))) (+ (sqrt (log (- (fma N N 1) N))) (sqrt (log1p (pow N 3)))) (- (log N))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 27 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 28 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 29 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 30 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 31 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 32 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 33 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (expm1 (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (expm1 (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 34 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (log1p (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (log1p (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 35 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 36 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 37 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 38 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 39 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 40 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 41 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ 1 (pow N 3)) (fma N N (- 1 N))) N) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (fma N (* N N) 1) (fma N (- 1 N) (pow N 3))) * [exit]simplify: Simplified to (/ (fma N (* N N) 1) (fma N (- 1 N) (pow N 3))) * * * * [misc]progress: [ 42 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (exp (log1p (pow N 3))) (fma N N (- 1 N))) N) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (fma N (- 1 N) (pow N 3))) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (fma N (- 1 N) (pow N 3))) * * * * [misc]progress: [ 43 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (fma N (- 1 N) (pow N 3))) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (fma N (- 1 N) (pow N 3))) * * * * [misc]progress: [ 44 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (log (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (log (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 46 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (* (fma N N (- 1 N)) N)) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (* (fma N N (- 1 N)) N)) * * * * [misc]progress: [ 47 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) (cbrt (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) (cbrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))))) * [exit]simplify: Simplified to (* (cbrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) (cbrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))))) * [enter]simplify: Simplifying (cbrt (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (cbrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (cbrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 48 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)) (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (pow (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) 3) * [exit]simplify: Simplified to (pow (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) 3) * * * * [misc]progress: [ 49 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (sqrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * [enter]simplify: Simplifying (sqrt (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (sqrt (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 50 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (fma (- (log1p (pow N 3)) (log (- (fma N N 1) N))) (* (- (log1p (pow N 3)) (log (- (fma N N 1) N))) (- (log1p (pow N 3)) (log (- (fma N N 1) N)))) (* (* (log N) (log N)) (- (log N)))) * [exit]simplify: Simplified to (fma (- (log1p (pow N 3)) (log (- (fma N N 1) N))) (* (- (log1p (pow N 3)) (log (- (fma N N 1) N))) (- (log1p (pow N 3)) (log (- (fma N N 1) N)))) (* (* (log N) (log N)) (- (log N)))) * [enter]simplify: Simplifying (+ (* (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (+ (* (log N) (log N)) (* (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (fma (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (+ (log N) (log1p (pow N 3))) (log (fma N N (- 1 N)))) (* (log N) (log N))) * [exit]simplify: Simplified to (fma (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (+ (log N) (log1p (pow N 3))) (log (fma N N (- 1 N)))) (* (log N) (log N))) * * * * [misc]progress: [ 51 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 52 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * [exit]simplify: Simplified to (fma (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (log N) (log N)))) * [exit]simplify: Simplified to (fma (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (* (log N) (log N)))) * [enter]simplify: Simplifying (+ (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- (+ (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (+ (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 54 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N)))))) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N)))))) * [enter]simplify: Simplifying (- (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (sqrt (log N))) * * * * [misc]progress: [ 55 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 56 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 57 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 58 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 59 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))))) (log N)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 60 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (sqrt (log (fma N N (- 1 N))))) (sqrt (log (fma N N (- 1 N)))) (* (sqrt (log (fma N N (- 1 N)))) (sqrt (log (fma N N (- 1 N)))))) (log N)) * * [misc]simplify: iters left: 6 (11 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 (88 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 61 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 62 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 63 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))))) (log N)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 64 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (sqrt (log (fma N N (- 1 N))))) (sqrt (log (fma N N (- 1 N)))) (* (sqrt (log (fma N N (- 1 N)))) (sqrt (log (fma N N (- 1 N)))))) (log N)) * * [misc]simplify: iters left: 6 (11 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 (88 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 65 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 66 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 67 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))))) (log N)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 68 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (sqrt (log (fma N N (- 1 N))))) (sqrt (log (fma N N (- 1 N)))) (* (sqrt (log (fma N N (- 1 N)))) (sqrt (log (fma N N (- 1 N)))))) (log N)) * * [misc]simplify: iters left: 6 (11 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 (88 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 69 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 70 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (fma N N (- 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (- (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log N)) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 71 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (fma N N (- 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (- (log N)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (- (log N)) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 72 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (fma N N (- 1 N))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (log (fma N N (- 1 N))) (log N)) * [exit]simplify: Simplified to (+ (log (fma N N (- 1 N))) (log N)) * * * * [misc]progress: [ 73 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 74 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (fma (* N N) N 1) * [exit]simplify: Simplified to (fma (* N N) N 1) * * * * [misc]progress: [ 75 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (pow N 3))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (pow N 3) * [exit]simplify: Simplified to (pow N 3) * * * * [misc]progress: [ 76 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (pow N 3))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (log1p (pow N 3))) * [exit]simplify: Simplified to (log1p (log1p (pow N 3))) * * * * [misc]progress: [ 77 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (pow N 3))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log (log1p (pow N 3))) * [exit]simplify: Simplified to (log (log1p (pow N 3))) * * * * [misc]progress: [ 80 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (pow N 3))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (exp (log1p (pow N 3))) * [exit]simplify: Simplified to (exp (log1p (pow N 3))) * * * * [misc]progress: [ 81 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (pow N 3))) (cbrt (log1p (pow N 3)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (pow N 3))) (cbrt (log1p (pow N 3)))) * [exit]simplify: Simplified to (* (cbrt (log1p (pow N 3))) (cbrt (log1p (pow N 3)))) * [enter]simplify: Simplifying (cbrt (log1p (pow N 3))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (log1p (pow N 3))) * [exit]simplify: Simplified to (cbrt (log1p (pow N 3))) * * * * [misc]progress: [ 82 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (pow N 3)) (log1p (pow N 3))) (log1p (pow N 3))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (pow (log1p (pow N 3)) 3) * [exit]simplify: Simplified to (pow (log1p (pow N 3)) 3) * * * * [misc]progress: [ 83 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (pow N 3))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (log1p (pow N 3))) * [exit]simplify: Simplified to (sqrt (log1p (pow N 3))) * [enter]simplify: Simplifying (sqrt (log1p (pow N 3))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (log1p (pow N 3))) * [exit]simplify: Simplified to (sqrt (log1p (pow N 3))) * * * * [misc]progress: [ 84 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (pow N 3))) (cbrt (log1p (pow N 3)))) (cbrt (log1p (pow N 3))) (- (* (log (fma N N (- 1 N))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * [enter]simplify: Simplifying (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 86 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (pow N 3))) (cbrt (log1p (pow N 3)))) (cbrt (log1p (pow N 3))) (- (* (cbrt (log (fma N N (- 1 N)))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 87 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (pow N 3))) (cbrt (log1p (pow N 3)))) (cbrt (log1p (pow N 3))) (- (* (sqrt (log (fma N N (- 1 N)))) (sqrt (log (fma N N (- 1 N))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (sqrt (log (fma N N (- 1 N))))) (sqrt (log (fma N N (- 1 N)))) (* (sqrt (log (fma N N (- 1 N)))) (sqrt (log (fma N N (- 1 N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 88 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (pow N 3))) (cbrt (log1p (pow N 3)))) (cbrt (log1p (pow N 3))) (- (* (log (fma N N (- 1 N))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * [enter]simplify: Simplifying (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 89 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (pow N 3))) (sqrt (log1p (pow N 3))) (- (* (log (fma N N (- 1 N))) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 90 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (pow N 3))) (sqrt (log1p (pow N 3))) (- (* (cbrt (log (fma N N (- 1 N)))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 91 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (pow N 3))) (sqrt (log1p (pow N 3))) (- (* (sqrt (log (fma N N (- 1 N)))) (sqrt (log (fma N N (- 1 N))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * [enter]simplify: Simplifying (fma (- (sqrt (log (fma N N (- 1 N))))) (sqrt (log (fma N N (- 1 N)))) (* (sqrt (log (fma N N (- 1 N)))) (sqrt (log (fma N N (- 1 N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 92 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (pow N 3))) (sqrt (log1p (pow N 3))) (- (* (log (fma N N (- 1 N))) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 93 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (pow N 3)) (- (* (log (fma N N (- 1 N))) 1))) * * [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 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 94 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (pow N 3)) (- (* (cbrt (log (fma N N (- 1 N)))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))) (* (cbrt (log (fma N N (- 1 N)))) (* (cbrt (log (fma N N (- 1 N)))) (cbrt (log (fma N N (- 1 N))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 95 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (pow N 3)) (- (* (sqrt (log (fma N N (- 1 N)))) (sqrt (log (fma N N (- 1 N))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (sqrt (log (fma N N (- 1 N))))) (sqrt (log (fma N N (- 1 N)))) (* (sqrt (log (fma N N (- 1 N)))) (sqrt (log (fma N N (- 1 N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 96 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (pow N 3)) (- (* (log (fma N N (- 1 N))) 1))) * * [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 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (- (fma N N 1) N))) * [enter]simplify: Simplifying (fma (- (log (fma N N (- 1 N)))) 1 (* (log (fma N N (- 1 N))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 97 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (expm1 (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 98 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (log1p (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (log1p (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 99 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * * * * [misc]progress: [ 100 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * * * * [misc]progress: [ 101 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * * * * [misc]progress: [ 102 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (pow N 3)) (fma N N (- 1 N))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (fma (* N N) N 1) (- (fma N N 1) N)) * [exit]simplify: Simplified to (/ (fma (* N N) N 1) (- (fma N N 1) N)) * * * * [misc]progress: [ 103 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p (pow N 3))) (fma N N (- 1 N))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (- (fma N N 1) N)) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (- (fma N N 1) N)) * * * * [misc]progress: [ 104 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (log (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (log (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 106 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (fma N N (- 1 N))) * [exit]simplify: Simplified to (/ (exp (log1p (pow N 3))) (fma N N (- 1 N))) * * * * [misc]progress: [ 107 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N)))))) * [exit]simplify: Simplified to (* (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N)))))) * [enter]simplify: Simplifying (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (cbrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 108 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (pow (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) 3) * [exit]simplify: Simplified to (pow (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) 3) * * * * [misc]progress: [ 109 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * [enter]simplify: Simplifying (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * [exit]simplify: Simplified to (sqrt (- (log1p (pow N 3)) (log (fma N N (- 1 N))))) * * * * [misc]progress: [ 110 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p (pow N 3)) 3) (pow (log (fma N N (- 1 N))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (fma (- (log (fma N N (- 1 N)))) (* (log (fma N N (- 1 N))) (log (fma N N (- 1 N)))) (pow (log1p (pow N 3)) 3)) * [exit]simplify: Simplified to (fma (- (log (fma N N (- 1 N)))) (* (log (fma N N (- 1 N))) (log (fma N N (- 1 N)))) (pow (log1p (pow N 3)) 3)) * [enter]simplify: Simplifying (+ (* (log1p (pow N 3)) (log1p (pow N 3))) (+ (* (log (fma N N (- 1 N))) (log (fma N N (- 1 N)))) (* (log1p (pow N 3)) (log (fma N N (- 1 N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (fma (log (- (fma N N 1) N)) (+ (log (- (fma N N 1) N)) (log1p (pow N 3))) (* (log1p (pow N 3)) (log1p (pow N 3)))) * [exit]simplify: Simplified to (fma (log (- (fma N N 1) N)) (+ (log (- (fma N N 1) N)) (log1p (pow N 3))) (* (log1p (pow N 3)) (log1p (pow N 3)))) * * * * [misc]progress: [ 111 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * * * * [misc]progress: [ 112 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log1p (pow N 3)) (log1p (pow N 3))) (* (log (fma N N (- 1 N))) (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (* (+ (log (- (fma N N 1) N)) (log1p (pow N 3))) (- (log1p (pow N 3)) (log (- (fma N N 1) N)))) * [exit]simplify: Simplified to (* (+ (log (- (fma N N 1) N)) (log1p (pow N 3))) (- (log1p (pow N 3)) (log (- (fma N N 1) N)))) * [enter]simplify: Simplifying (+ (log1p (pow N 3)) (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (+ (log1p (pow N 3)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (+ (log1p (pow N 3)) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 114 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (sqrt (log (fma N N (- 1 N)))) (sqrt (log1p (pow N 3)))) * [exit]simplify: Simplified to (+ (sqrt (log (fma N N (- 1 N)))) (sqrt (log1p (pow N 3)))) * [enter]simplify: Simplifying (- (sqrt (log1p (pow N 3))) (sqrt (log (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p (pow N 3))) (sqrt (log (- (fma N N 1) N)))) * [exit]simplify: Simplified to (- (sqrt (log1p (pow N 3))) (sqrt (log (- (fma N N 1) N)))) * * * * [misc]progress: [ 115 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 116 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 117 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (pow N 3)) (log (* (cbrt (fma N N (- 1 N))) (cbrt (fma N N (- 1 N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log (cbrt (fma N N (- 1 N))))) (log (cbrt (fma N N (- 1 N))))) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log (cbrt (fma N N (- 1 N))))) (log (cbrt (fma N N (- 1 N))))) * * * * [misc]progress: [ 118 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (pow N 3)) (log (sqrt (fma N N (- 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (sqrt (fma N N (- 1 N))))) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log (sqrt (fma N N (- 1 N))))) * * * * [misc]progress: [ 119 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (pow N 3)) (log 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log 1)) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (log 1)) * * * * [misc]progress: [ 120 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma N N (- 1 N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * [exit]simplify: Simplified to (- (log (- (fma N N 1) N))) * * * * [misc]progress: [ 121 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log1p (pow N 3)) (- (+ (* 2/3 (pow N 3)) (* 1/2 (pow N 2))) N)) (log N)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (- (log1p (pow N 3)) (- (fma (* N N) (fma 2/3 N 1/2) (log N)) N)) * * * * [misc]progress: [ 122 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log1p (pow N 3)) (- (* 1/2 (/ 1 (pow N 2))) (+ (* 2 (log (/ 1 N))) (/ 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (fma (/ 1 N) (/ 1/2 N) (log N))) (- (* (log N) 2) (/ 1 N))) * * * * [misc]progress: [ 123 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log1p (pow N 3)) (- (* 1/2 (/ 1 (pow N 2))) (+ (* 2 (log (/ -1 N))) (/ 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (+ (- (log1p (pow N 3)) (fma (/ 1 N) (/ 1/2 N) (log N))) (fma (log (/ -1 N)) 2 (/ 1 N))) * * * * [misc]progress: [ 124 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N (log N)) (* 1/2 (pow N 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (- (+ (log N) N) (* 1/2 (* N N))) * * * * [misc]progress: [ 125 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (+ (pow (/ 1 N) -3) 1)) (/ 1 N)) (+ (* 3 (log (/ 1 N))) (* 1/2 (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (+ (log1p (pow (/ 1 N) -3)) (- (fma (log N) 3 (/ 1 N)) (/ 1/2 (* N N)))) * * * * [misc]progress: [ 126 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (+ (exp (* 3 (- (log -1) (log (/ -1 N))))) 1)) (+ (log -1) (/ 1 N))) (+ (* 3 (log (/ -1 N))) (* 1/2 (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (- (+ (log1p (pow N 3)) (+ (/ 1 N) (log -1))) (fma 3 (log (/ -1 N)) (/ (/ 1/2 N) N))) * * * * [misc]progress: [ 127 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* 1/3 (pow N 9)) (pow N 3)) (* 1/2 (pow N 6))) (log (fma N N (- 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (- (- (fma (pow N 9) 1/3 (pow N 3)) (fma (pow N 6) 1/2 (log N))) (log (fma N N (- 1 N)))) * * * * [misc]progress: [ 128 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (+ (pow (/ 1 N) -3) 1)) (log (fma N N (- 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (log1p (pow (/ 1 N) -3)) (+ (log N) (log (- (fma N N 1) N)))) * * * * [misc]progress: [ 129 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (+ (exp (* 3 (- (log -1) (log (/ -1 N))))) 1)) (log (fma N N (- 1 N)))) (log N)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (- (- (log1p (pow N 3)) (log N)) (log (- (fma N N 1) N))) * * * * [misc]progress: [ 130 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (fma (* N N) (- (* N 1/3) 1/2) (- N (log N))) * * * * [misc]progress: [ 131 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log (+ (pow (/ 1 N) -3) 1)) (/ 1 N)) (+ (* 2 (log (/ 1 N))) (* 1/2 (/ 1 (pow N 2))))) (log N)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (+ (log1p (pow (/ 1 N) -3)) (- (+ (* 2 (log N)) (/ 1 N)) (fma (/ 1/2 N) (/ 1 N) (log N)))) * * * * [misc]progress: [ 132 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log (+ (exp (* 3 (- (log -1) (log (/ -1 N))))) 1)) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (* 2 (log (/ -1 N))))) (log N)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (- (+ (log1p (pow N 3)) (/ 1 N)) (fma 2 (log (/ -1 N)) (fma (/ 1 N) (/ 1/2 N) (log N)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (log (+ N 1)) (log N)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4092 additional inputs, on iter 1 have 3908 / 8000 * * * * [misc]points: Computing exacts on every 255 of 4092 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 127 of 4092 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 63 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 4092 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 4092 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 4092 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 2075 additional inputs, on iter 2 have 5925 / 8000 * * * * [misc]points: Computing exacts on every 129 of 2075 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 64 of 2075 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 32 of 2075 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 16 of 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 2075 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 2075 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 2075 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 1033 additional inputs, on iter 3 have 6967 / 8000 * * * * [misc]points: Computing exacts on every 64 of 1033 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 32 of 1033 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 16 of 1033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 1033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 1033 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 1033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1033 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 514 additional inputs, on iter 4 have 7486 / 8000 * * * * [misc]points: Computing exacts on every 32 of 514 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 16 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 514 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 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 514 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 265 additional inputs, on iter 5 have 7735 / 8000 * * * * [misc]points: Computing exacts on every 16 of 265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 265 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 265 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 265 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 136 additional inputs, on iter 6 have 7864 / 8000 * * * * [misc]points: Computing exacts on every 8 of 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 136 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 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 136 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 59 additional inputs, on iter 7 have 7941 / 8000 * * * * [misc]points: Computing exacts on every 3 of 59 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 59 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 32 additional inputs, on iter 8 have 7968 / 8000 * * * * [misc]points: Computing exacts on every 2 of 32 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 32 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 17 additional inputs, on iter 9 have 7983 / 8000 * * * * [misc]points: Computing exacts for 17 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 8 additional inputs, on iter 10 have 7992 / 8000 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs