* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 121 additional inputs, on iter 1 have 135 / 256 * * * * [misc]points: Computing exacts on every 7 of 121 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 121 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 121 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 55 additional inputs, on iter 2 have 201 / 256 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 55 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 26 additional inputs, on iter 3 have 230 / 256 * * * * [misc]points: Computing exacts for 26 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 13 additional inputs, on iter 4 have 243 / 256 * * * * [misc]points: Computing exacts for 13 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 5 have 248 / 256 * * * * [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 6 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: 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0 * [misc]none: (2.0770495361468835e+203): 0 * [misc]none: (3.1401318723071353e-131): 0 * [misc]none: (0.228970627026966): 0 * [misc]none: (8.40469635347052e+100): 0 * [misc]none: (2.1321881547753267e-44): 0 * [misc]none: (1.7739584018359304e-207): 0 * [misc]none: (6.866799226360426e-109): 0 * [misc]none: (6.417434319517234e+231): 0 * [misc]none: (4.508352673437809e+248): 0 * [misc]none: (1.430295312965348e-149): 0 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 0 * [misc]none: (1.4966275592591335e-123): 0 * [misc]none: (6.384545099874781e-168): 0 * [misc]none: (4.232269734875141e-205): 0 * [misc]none: (4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277): 0 * [misc]none: (2.68866513359689e-174): 0 * [misc]none: (8.96636707501737e-13): 0 * [misc]none: (1.6082525618587168e-259): 0 * [misc]none: (2.7230496615379425e-188): 0 * [misc]none: (7.15832835948139e-179): 0 * [misc]none: (2.991170371343952e+151): 0 * [misc]none: (8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 0 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (5.123849747663666e+133): 0 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (1.5780761566396397e+125): 0 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 0 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 0 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (N) (- (log1p N) (log N))) * * * * [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 N) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log N) (log N)) * [exit]simplify: Simplified to (- (log N) (log N)) * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [exit]simplify: Simplified to (/ (+ N 1) N) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p N)) N) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) * [enter]simplify: Simplifying (cbrt (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (- (log1p N) (log N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p N) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [exit]simplify: Simplified to (fma (* (log N) (log N)) (- (log N)) (pow (log1p N) 3)) * [enter]simplify: Simplifying (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log N) (* (log1p N) (log1p N))) * [exit]simplify: Simplified to (fma (+ (log N) (log1p N)) (log N) (* (log1p N) (log1p N))) * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log1p N) (log1p N)) (* (log N) (log N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (+ (log N) (log1p N)) (- (log1p N) (log N))) * [exit]simplify: Simplified to (* (+ (log N) (log1p N)) (- (log1p N) (log N))) * [enter]simplify: Simplifying (+ (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log1p N)) (sqrt (log N))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) * [enter]simplify: Simplifying (- (sqrt (log1p N)) (sqrt (log N))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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: [ 31 / 32 ] 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: [ 32 / 32 ] 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 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 3 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * [misc]none: Fresh alt: (λ (N) (log (/ (exp (log1p N)) N))) * [misc]none: Fresh alt: (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))): 0 * [misc]none: (λ (N) (log (/ (exp (log1p N)) N))): 1 * [misc]none: (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))): 2 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 0 * [misc]none: (1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136): 0 * [misc]none: (8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266): 1 * [misc]none: (9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06): 1 * [misc]none: (8.105463665693362e-194): 1 * [misc]none: (5.027897585816787e-27): 1 * [misc]none: (0.3310558223342685): 2 * [misc]none: (8.127248813391785e+226): 0 * [misc]none: (7.299372666988037e-80): 1 * [misc]none: (3.506434173585025e+201): 0 * [misc]none: (2.0971939106770033e-216): 1 * [misc]none: (1.504878381563487e-123): 1 * [misc]none: (8.06210226572923e-308): 1 * [misc]none: (1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100): 0 * [misc]none: (2.0724540688985427e-14): 1 * [misc]none: (7.930730410937821e+23): 0 * [misc]none: (1.2219765589404705e+117): 0 * [misc]none: (4.8815870270916733e+188): 0 * [misc]none: (6.537529222720653e-92): 1 * [misc]none: (3.5709688782890513e-43): 1 * [misc]none: (4.870593988390179e-194): 1 * [misc]none: (5.0297272719312193e+287): 0 * [misc]none: (5.41731325733976e-115): 1 * [misc]none: (1.0395093493101161e-28): 1 * [misc]none: (5.540829799846932e-307): 1 * [misc]none: (8.949756960721031e-195): 1 * [misc]none: (2.722605535602291e+155): 0 * [misc]none: (2.9453252035345084e+174): 0 * [misc]none: (1.0160216232612932e-143): 1 * [misc]none: (4.178563936936926e-127): 1 * [misc]none: (2.1657839461347663e+307): 0 * [misc]none: (6.629963208070179e-180): 1 * [misc]none: (2.5453262068352747e+307): 0 * [misc]none: (1.7005338626981419e-143): 1 * [misc]none: (7.808994559121766e-111): 1 * [misc]none: (8.788013174305029e-230): 1 * [misc]none: (2.5557776305939374e+86): 0 * [misc]none: (3.2454192740264175e-113): 1 * [misc]none: (4.896551008070313e-307): 1 * [misc]none: (1.2607016124581028e+98): 0 * [misc]none: (6.351701463874224e-34): 1 * [misc]none: (1.1127979592570306e-297): 1 * [misc]none: (2.0134175477923286e-117): 1 * [misc]none: (3.3910436622012204e+183): 0 * [misc]none: (2.1370924660732585e-137): 1 * [misc]none: (5.027318832526334e+284): 0 * [misc]none: (1.0214816826091913e+147): 0 * [misc]none: (9.44950370602155e+215): 0 * [misc]none: (1.453842915541268e+187): 0 * [misc]none: (4.172324580820008e-133): 1 * [misc]none: (1.6563474243613627e-33): 1 * [misc]none: (1.0684729481870001e-64): 1 * [misc]none: (6.3073426358942834e+75): 0 * [misc]none: (3.1520683467019444e-71): 1 * [misc]none: (0.19659739803111875): 1 * [misc]none: (7.786539791485611e+181): 0 * [misc]none: (2.4995037253728046e-268): 1 * [misc]none: (4.637177905335891e-10): 1 * [misc]none: (8.652041834233969e-101): 1 * [misc]none: (3.209451012414084e+270): 0 * [misc]none: (3.7907433031673317e-256): 1 * [misc]none: (8.76720870691781e-247): 1 * [misc]none: (6.160331831501279e+241): 0 * [misc]none: (3.4124175886179475e+199): 0 * [misc]none: (3.0044088767799776e-30): 1 * [misc]none: (4.7140908881238785e+103): 0 * [misc]none: (2.3604863517900675e+30): 0 * [misc]none: (6.476730028728146e-228): 1 * [misc]none: (3.369115258471057e+173): 0 * [misc]none: (1.3383461391823352e+303): 0 * [misc]none: (2.3157792094796435e+174): 0 * [misc]none: (4.097601147132013e-78): 1 * [misc]none: (4.194634882433556e+107): 0 * [misc]none: (3.3390334975960143e-07): 1 * [misc]none: (2.2475155879831534e-92): 1 * [misc]none: (1.030614327019319e-115): 1 * [misc]none: (1.8172920677413648e+103): 0 * [misc]none: (1.186346974675696e+155): 0 * [misc]none: (6.283729883572828e+84): 0 * [misc]none: (3.6636765762957594e-187): 1 * [misc]none: (1.7036347403091437e+117): 0 * [misc]none: (9.645064592867311e+67): 0 * [misc]none: (1.3872947227834175e-251): 1 * [misc]none: (7.12145855246931e-10): 1 * [misc]none: (2.693461062117409e-112): 1 * [misc]none: (1.6465279540530418e+78): 0 * [misc]none: (2.43524332605807e-278): 1 * [misc]none: (1.0576788912710565e-08): 1 * [misc]none: (4.764080499693186e-90): 1 * [misc]none: (1.3557350350348342e+244): 0 * [misc]none: (1.89639974853721e+92): 0 * [misc]none: (8.2625435987749e+74): 0 * [misc]none: (5.2790261762422465e+19): 0 * [misc]none: (2.0179287053921742e+58): 0 * [misc]none: (2.884705125857619e-274): 1 * [misc]none: (2.031068672850261e-255): 1 * [misc]none: (2.4294527094706238e+82): 0 * [misc]none: (7.274711555473555e+146): 0 * [misc]none: (1.5565784464325313e+71): 0 * [misc]none: (1.2222184804619167e+37): 0 * [misc]none: (4.642568065399805e-260): 1 * [misc]none: (3.8347842435652736e+125): 0 * [misc]none: (7.178809205583962e-175): 1 * [misc]none: (1.4235559851356953e-239): 1 * [misc]none: (4.74667737826054e-29): 1 * [misc]none: (1.868517529275615e+140): 0 * [misc]none: (1.5276944825842992e+272): 0 * [misc]none: (2.1335024129380783e-97): 1 * [misc]none: (1.0953112641111952e+229): 0 * [misc]none: (3.2587696828142436e+75): 0 * [misc]none: (3.7735141958833343e+170): 0 * [misc]none: (1.0233799517176219e-267): 1 * [misc]none: (5.348181441205713e-277): 1 * [misc]none: (2.6631876145177815e-299): 1 * [misc]none: (1.4781375733319608e-242): 1 * [misc]none: (3.003847336951168e+42): 0 * [misc]none: (1.6609596531041104e-183): 1 * [misc]none: (9.568527921939742e-273): 1 * [misc]none: (2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227): 1 * [misc]none: (7.696162327562603e-152): 1 * [misc]none: (5.106850318067203e-223): 1 * [misc]none: (1.3381086996667414e-215): 1 * [misc]none: (1.0224180420716733e-52): 1 * [misc]none: (9.705038014433044e-175): 1 * [misc]none: (6.028770352690154e-151): 1 * [misc]none: (6.224141164637054e+75): 0 * [misc]none: (2.3623052767393814e+153): 0 * [misc]none: (4.4633600804799425e+142): 0 * [misc]none: (1.2790861077923577e+68): 0 * [misc]none: (1.0592112097552954e+143): 0 * [misc]none: (1.6780592368033288e-262): 1 * [misc]none: (1.5331200777386884e+269): 0 * [misc]none: (2.973444851318118e-169): 1 * [misc]none: (1.6828576275377584e-98): 1 * [misc]none: (4.5525663232975395e+86): 0 * [misc]none: (4.922686678959719e-213): 1 * [misc]none: (9.601043864442096e+176): 0 * [misc]none: (5.752669291865014e-257): 1 * [misc]none: (3.0310347416413137e-258): 1 * [misc]none: (3.727663855470157e+254): 0 * [misc]none: (8.775974517752829e+204): 0 * [misc]none: (1.5758037123807388e+87): 0 * [misc]none: (2.4492953260422185e+131): 0 * [misc]none: (5.835395598392501e+198): 0 * [misc]none: (2.2545095115116114e+189): 0 * [misc]none: (2.4757193927168845e-307): 1 * [misc]none: (1.457018723838865e-35): 1 * [misc]none: (9.424239481611678e-294): 1 * [misc]none: (1.5096638452158614e-71): 1 * [misc]none: (6.967234360883543e-112): 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(8.990843056511833e-32): 1 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 1 * [misc]none: (6.354961149716869e-97): 1 * [misc]none: (2.8293820765322485e-296): 1 * [misc]none: (5.3887495676776976e+171): 0 * [misc]none: (9.871143682146977e-239): 1 * [misc]none: (5.123849747663666e+133): 0 * [misc]none: (4.007761912625816e-148): 1 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (1.120554825473697e-298): 1 * [misc]none: (7.175557259725409e-49): 1 * [misc]none: (4.4800031186106794e-70): 1 * [misc]none: (2.5265807746711182e-73): 1 * [misc]none: (1.4440898226736705e-53): 1 * [misc]none: (2.3912903471184356e-134): 1 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (1.5780761566396397e+125): 0 * [misc]none: (1.534059348183312e-189): 1 * [misc]none: (2.8419420301747055e+90): 0 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (4.588817619865515e-83): 1 * [misc]none: (6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96): 1 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (1.6570172448601563e-137): 1 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (4.0623211606609595e-228): 1 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (6.730955893129463e-197): 1 * [misc]none: (6.724679859609688e-169): 1 * [misc]none: (1.4230714989143866e-75): 1 * [misc]none: (3.493084834288097e-125): 1 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (3.2574885636926814e-211): 1 * [misc]none: (1.3680169753287455e-53): 1 * [misc]none: (2.2957389429922706e-176): 1 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: 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(9.705038014433044e-175): 1 * [misc]none: (6.028770352690154e-151): 1 * [misc]none: (6.224141164637054e+75): 0 * [misc]none: (2.3623052767393814e+153): 0 * [misc]none: (4.4633600804799425e+142): 0 * [misc]none: (1.2790861077923577e+68): 0 * [misc]none: (1.0592112097552954e+143): 0 * [misc]none: (1.6780592368033288e-262): 1 * [misc]none: (1.5331200777386884e+269): 0 * [misc]none: (2.973444851318118e-169): 1 * [misc]none: (1.6828576275377584e-98): 1 * [misc]none: (4.5525663232975395e+86): 0 * [misc]none: (4.922686678959719e-213): 1 * [misc]none: (9.601043864442096e+176): 0 * [misc]none: (5.752669291865014e-257): 1 * [misc]none: (3.0310347416413137e-258): 1 * [misc]none: (3.727663855470157e+254): 0 * [misc]none: (8.775974517752829e+204): 0 * [misc]none: (1.5758037123807388e+87): 0 * [misc]none: (2.4492953260422185e+131): 0 * [misc]none: (5.835395598392501e+198): 0 * [misc]none: (2.2545095115116114e+189): 0 * [misc]none: (2.4757193927168845e-307): 1 * [misc]none: (1.457018723838865e-35): 1 * [misc]none: (9.424239481611678e-294): 1 * [misc]none: (1.5096638452158614e-71): 1 * [misc]none: (6.967234360883543e-112): 1 * [misc]none: (2.0770495361468835e+203): 0 * [misc]none: (3.1401318723071353e-131): 1 * [misc]none: (0.228970627026966): 1 * [misc]none: (8.40469635347052e+100): 0 * [misc]none: (2.1321881547753267e-44): 1 * [misc]none: (1.7739584018359304e-207): 1 * [misc]none: (6.866799226360426e-109): 1 * [misc]none: (6.417434319517234e+231): 0 * [misc]none: (4.508352673437809e+248): 0 * [misc]none: (1.430295312965348e-149): 1 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 1 * [misc]none: (1.4966275592591335e-123): 1 * [misc]none: (6.384545099874781e-168): 1 * [misc]none: (4.232269734875141e-205): 1 * [misc]none: (4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277): 0 * [misc]none: (2.68866513359689e-174): 1 * [misc]none: (8.96636707501737e-13): 1 * [misc]none: (1.6082525618587168e-259): 1 * [misc]none: (2.7230496615379425e-188): 1 * [misc]none: (7.15832835948139e-179): 1 * [misc]none: (2.991170371343952e+151): 0 * [misc]none: (8.990843056511833e-32): 1 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 1 * [misc]none: (6.354961149716869e-97): 1 * [misc]none: (2.8293820765322485e-296): 1 * [misc]none: (5.3887495676776976e+171): 0 * [misc]none: (9.871143682146977e-239): 1 * [misc]none: (5.123849747663666e+133): 0 * [misc]none: (4.007761912625816e-148): 1 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (1.120554825473697e-298): 1 * [misc]none: (7.175557259725409e-49): 1 * [misc]none: (4.4800031186106794e-70): 1 * [misc]none: (2.5265807746711182e-73): 1 * [misc]none: (1.4440898226736705e-53): 1 * [misc]none: (2.3912903471184356e-134): 1 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (1.5780761566396397e+125): 0 * [misc]none: (1.534059348183312e-189): 1 * [misc]none: (2.8419420301747055e+90): 0 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (4.588817619865515e-83): 1 * [misc]none: (6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96): 1 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (1.6570172448601563e-137): 1 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (4.0623211606609595e-228): 1 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (6.730955893129463e-197): 1 * [misc]none: (6.724679859609688e-169): 1 * [misc]none: (1.4230714989143866e-75): 1 * [misc]none: (3.493084834288097e-125): 1 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (3.2574885636926814e-211): 1 * [misc]none: (1.3680169753287455e-53): 1 * [misc]none: (2.2957389429922706e-176): 1 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (1.9963004369674967e-80): 1 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 1 * [misc]none: (1.6707151526371295e-190): 1 * [misc]none: (5.1990169359560766e-256): 1 * [misc]none: (8.044445972631143e-28): 1 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 1 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (8.361834195928021e-55): 1 * [misc]none: (7.311006071291519e-101): 1 * [misc]none: (1.782256728493473e+35): 0 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (8.382633428275648e-297): 1 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 1 * [misc]none: (2.6679523035634032e-104): 1 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 1 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (5.0588074473585105e-110): 1 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 1 * [misc]none: (4.416557773834991e-25): 1 * [misc]none: (3.0442880854679596e-31): 1 * [misc]none: (4.664141571059094e-118): 1 * [misc]none: Picked alt (λ (N) (log (/ (exp (log1p N)) N))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (exp (log1p N)) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p N)) N)) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p N)) N) in N * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) 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 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p N)) N)) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p N)) N) in N * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) 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 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (exp (log1p (/ 1 N))) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p (/ 1 N))) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log N))) 1) into (exp (- (log N))) * [misc]backup-simplify: Simplify (log (exp (- (log N)))) into (- (log N)) * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p (/ 1 N))) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log N))) 1) into (exp (- (log N))) * [misc]backup-simplify: Simplify (log (exp (- (log N)))) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (- (log N))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (exp (- (log N))) 1) (+ (* (exp (- (log N))) (/ 0 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (exp (- (log N)))) 1)) (pow (exp (- (log N))) 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (exp (- (log N)))) 2)) (pow (exp (- (log N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (- (log N))) 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (exp (- (log N)))) 3)) (pow (exp (- (log N))) 3))) (* -3 (/ (* (pow (* 1 (exp (- (log N)))) 1) (pow (* 2 0) 1)) (pow (exp (- (log N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (- (log N))) 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log N))) -1) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (* -1 (exp (- (log -1) (log N))))) into (log (* -1 (exp (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (log (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log N))) -1) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (log (* -1 (exp (- (log -1) (log N))))) into (log (* -1 (exp (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log (* -1 (exp (- (log -1) (log N)))))) into (+ (log (* -1 (exp (- (log -1) (log N))))) (log N)) * [misc]backup-simplify: Simplify (+ (log (* -1 (exp (- (log -1) (log N))))) (log N)) into (+ (log (* -1 (exp (- (log -1) (log N))))) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1 (exp (- (log -1) (log N)))) -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (exp (- (log -1) (log N)))) 1)) (pow (* -1 (exp (- (log -1) (log N)))) 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (exp (- (log -1) (log N)))) 2)) (pow (* -1 (exp (- (log -1) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (exp (- (log -1) (log N)))) 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 (- (log -1) (log (/ 1 (- N))))))) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (+ (log (/ -1 N)) (log (* -1 (exp (- (log -1) (log (/ -1 N)))))))) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (exp (log1p N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 N) 1) into (+ 1 N) * [misc]approximate: Taking taylor expansion of (exp (log1p (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (/ 1 N)))) (/ 1 N)) (exp (- (log (/ 1 N))))) into (+ (exp (- (log (/ 1 N)))) (/ (exp (- (log (/ 1 N)))) N)) * [misc]approximate: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* -1 (exp (- (log -1) (log N)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow -1/3 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into -1/5 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 5) 120)) (* (/ (pow -1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/5 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 6) 720)) (* (/ (pow -1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow -1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow -1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow -1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow -1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow -1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow -1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow -1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow -1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow -1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow -1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow -1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow -1 1)))) 5040) into -1/7 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 7) 5040)) (* (/ (pow -1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow -1 4) 24) (/ (pow -1/3 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow -1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/5 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (exp (- (log -1) (log (/ 1 (- N)))))) (/ 1 (- N))) (exp (- (log -1) (log (/ 1 (- N)))))) into (+ (/ (exp (- (log -1) (log (/ -1 N)))) N) (exp (- (log -1) (log (/ -1 N))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (exp (log1p N)) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (log1p N)) N) in N * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (exp (log1p N)) N) in N * [misc]taylor: Taking taylor expansion of (exp (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (exp 0) 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 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log N))) 1) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 N))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log N))) 1) into (exp (- (log N))) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (exp (- (log N))) 1) (+ (* (exp (- (log N))) (/ 0 1)))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (exp (- (log N))) into (exp (- (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow 1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (* (exp (- (log N))) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow 1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow 1 2) 2) (/ (pow -1/2 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow 1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log N))) (/ 0 1)) (* (exp (- (log N))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (/ 1 N)))) (pow (/ 1 N) 2)) (* (exp (- (log (/ 1 N)))) (/ 1 N))) into (+ (/ (exp (- (log (/ 1 N)))) (pow N 2)) (/ (exp (- (log (/ 1 N)))) N)) * [misc]approximate: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log N))) -1) into (* -1 (exp (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (/ (exp (log1p (/ 1 (- N)))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (exp (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (exp (- (log -1) (log N))) -1) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* -1 (exp (- (log -1) (log N)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1 (exp (- (log -1) (log N)))) -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (- (log -1) (log N))) into (exp (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow -1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into -1/5 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 5) 120)) (* (/ (pow -1 3) 6) (/ (pow -1/2 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 1) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 1) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into -1/6 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 6) 720)) (* (/ (pow -1 4) 24) (/ (pow -1/2 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 2) 2)) (* (/ (pow -1 2) 2) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/2 3) 6)) (* (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow -1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow -1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow -1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow -1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow -1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow -1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow -1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow -1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow -1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow -1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow -1 1)))) 5040) into -1/7 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (log N))) (+ (* (/ (pow -1 7) 5040)) (* (/ (pow -1 5) 120) (/ (pow -1/2 1) 1)) (* (/ (pow -1 4) 24) (/ (pow -1/3 1) 1)) (* (/ (pow -1 3) 6) (/ (pow -1/2 2) 2)) (* (/ (pow -1 3) 6) (/ (pow -1/4 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/2 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow -1 2) 2) (/ (pow -1/5 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/2 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1 1) 1) (/ (pow -1/3 2) 2)) (* (/ (pow -1 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow -1/2 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow -1/2 1) 1) (/ (pow -1/5 1) 1)) (* (/ (pow -1/3 1) 1) (/ (pow -1/4 1) 1)) (* (/ (pow -1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (- (log -1) (log N)))) (/ 0 -1)) (* (exp (- (log -1) (log N))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log -1) (log (/ 1 (- N))))) (pow (/ 1 (- N)) 2)) (* (* -1 (exp (- (log -1) (log (/ 1 (- N)))))) (/ 1 (- N)))) into (+ (/ (exp (- (log -1) (log (/ -1 N)))) N) (/ (exp (- (log -1) (log (/ -1 N)))) (pow N 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 2 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 3 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (exp (log1p N)) N)) (cbrt (/ (exp (log1p N)) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (exp (log1p N)) N))) (log (cbrt (/ (exp (log1p N)) N)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (exp (log1p N)) N))) (log (cbrt (/ (exp (log1p N)) N)))) * [enter]simplify: Simplifying (log (cbrt (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (exp (log1p N)) N))) * [exit]simplify: Simplified to (log (cbrt (/ (exp (log1p N)) N))) * * * * [misc]progress: [ 4 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (exp (log1p N)) N))) * [exit]simplify: Simplified to (log (sqrt (/ (exp (log1p N)) N))) * [enter]simplify: Simplifying (log (sqrt (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (exp (log1p N)) N))) * [exit]simplify: Simplified to (log (sqrt (/ (exp (log1p N)) N))) * * * * [misc]progress: [ 5 / 54 ] 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 (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 6 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 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 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 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 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 9 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 12 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * * * * [misc]progress: [ 13 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (exp (log1p N)) N))) (cbrt (log (/ (exp (log1p N)) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (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 (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 14 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (exp (log1p N)) N)) (log (/ (exp (log1p N)) N))) (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 15 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 16 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (exp (log1p N))) * [exit]simplify: Simplified to (expm1 (exp (log1p N))) * * * * [misc]progress: [ 18 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (exp (log1p N))) * [exit]simplify: Simplified to (log1p (exp (log1p N))) * * * * [misc]progress: [ 19 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (log1p N)) (cbrt (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (log1p N)) (cbrt (log1p N)))) * [exit]simplify: Simplified to (exp (* (cbrt (log1p N)) (cbrt (log1p N)))) * * * * [misc]progress: [ 21 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (sqrt (log1p N))) * [exit]simplify: Simplified to (exp (sqrt (log1p N))) * * * * [misc]progress: [ 22 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 23 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 26 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (exp (log1p N))) * [exit]simplify: Simplified to (exp (exp (log1p N))) * * * * [misc]progress: [ 27 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (log1p N))) (cbrt (exp (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (log1p N))) (cbrt (exp (log1p N)))) * [exit]simplify: Simplified to (* (cbrt (exp (log1p N))) (cbrt (exp (log1p N)))) * [enter]simplify: Simplifying (cbrt (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (exp (log1p N))) * [exit]simplify: Simplified to (cbrt (exp (log1p N))) * * * * [misc]progress: [ 28 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (log1p N)) (exp (log1p N))) (exp (log1p N))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (exp (log1p N)) 3) * [exit]simplify: Simplified to (pow (exp (log1p N)) 3) * * * * [misc]progress: [ 29 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p N))) * [exit]simplify: Simplified to (sqrt (exp (log1p N))) * [enter]simplify: Simplifying (sqrt (exp (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p N))) * [exit]simplify: Simplified to (sqrt (exp (log1p N))) * * * * [misc]progress: [ 30 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (expm1 (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 32 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (log1p (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 33 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 35 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (exp (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (exp (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 36 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (exp (log1p N)) N)) (cbrt (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (exp (log1p N)) N)) (cbrt (/ (exp (log1p N)) N))) * [exit]simplify: Simplified to (* (cbrt (/ (exp (log1p N)) N)) (cbrt (/ (exp (log1p N)) N))) * [enter]simplify: Simplifying (cbrt (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (cbrt (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 37 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (exp (log1p N)) N) (/ (exp (log1p N)) N)) (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (pow (/ (exp (log1p N)) N) 3) * [exit]simplify: Simplified to (pow (/ (exp (log1p N)) N) 3) * * * * [misc]progress: [ 38 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (sqrt (/ (exp (log1p N)) N)) * [enter]simplify: Simplifying (sqrt (/ (exp (log1p N)) N)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp (log1p N)) N)) * [exit]simplify: Simplified to (sqrt (/ (exp (log1p N)) N)) * * * * [misc]progress: [ 39 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (exp (log1p N))) * [exit]simplify: Simplified to (- (exp (log1p N))) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 40 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 54 ] 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: [ 42 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (exp (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ N (exp (log1p N))) * [exit]simplify: Simplified to (/ N (exp (log1p N))) * * * * [misc]progress: [ 43 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (exp (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (cbrt (exp (log1p N)))) * [exit]simplify: Simplified to (/ N (cbrt (exp (log1p N)))) * * * * [misc]progress: [ 44 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (exp (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (sqrt (exp (log1p N)))) * [exit]simplify: Simplified to (/ N (sqrt (exp (log1p N)))) * * * * [misc]progress: [ 45 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (exp (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ N (exp (log1p N))) * [exit]simplify: Simplified to (/ N (exp (log1p N))) * * * * [misc]progress: [ 46 / 54 ] 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: [ 47 / 54 ] 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: [ 48 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (+ (log (/ -1 N)) (log (* -1 (exp (- (log -1) (log (/ -1 N)))))))) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (+ (+ (log -1) (/ 1 N)) (- (- (log -1) 0) (/ 1/2 (* N N)))) * * * * [misc]progress: [ 49 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ 1 N) 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)) * * * * [misc]progress: [ 50 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (- (log (/ 1 N)))) (/ (exp (- (log (/ 1 N)))) N)) N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 51 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (/ (exp (- (log -1) (log (/ -1 N)))) N) (exp (- (log -1) (log (/ -1 N))))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * * * [misc]progress: [ 52 / 54 ] 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: [ 53 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ (exp (- (log (/ 1 N)))) (pow N 2)) (/ (exp (- (log (/ 1 N)))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (log1p (/ 1 N)) * * * * [misc]progress: [ 54 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ (exp (- (log -1) (log (/ -1 N)))) N) (/ (exp (- (log -1) (log (/ -1 N)))) (pow N 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (250 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]none: Fresh alts: 2 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * [misc]none: Non-fresh alt: (λ (N) (log (/ (exp (log1p N)) N))) * [misc]none: Fresh alt: (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))): 0 * [misc]none: (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))): 1 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 0 * [misc]none: (1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136): 0 * [misc]none: (8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266): 1 * [misc]none: (9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06): 1 * [misc]none: (8.105463665693362e-194): 1 * [misc]none: (5.027897585816787e-27): 1 * [misc]none: (0.3310558223342685): 1 * [misc]none: (8.127248813391785e+226): 0 * [misc]none: (7.299372666988037e-80): 1 * [misc]none: (3.506434173585025e+201): 0 * [misc]none: (2.0971939106770033e-216): 1 * [misc]none: (1.504878381563487e-123): 1 * [misc]none: (8.06210226572923e-308): 1 * [misc]none: (1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100): 0 * [misc]none: (2.0724540688985427e-14): 1 * [misc]none: (7.930730410937821e+23): 0 * [misc]none: (1.2219765589404705e+117): 0 * [misc]none: (4.8815870270916733e+188): 0 * [misc]none: (6.537529222720653e-92): 1 * [misc]none: (3.5709688782890513e-43): 1 * [misc]none: (4.870593988390179e-194): 1 * [misc]none: (5.0297272719312193e+287): 0 * [misc]none: (5.41731325733976e-115): 1 * [misc]none: (1.0395093493101161e-28): 1 * [misc]none: (5.540829799846932e-307): 1 * [misc]none: (8.949756960721031e-195): 1 * [misc]none: (2.722605535602291e+155): 0 * [misc]none: (2.9453252035345084e+174): 0 * [misc]none: (1.0160216232612932e-143): 1 * [misc]none: (4.178563936936926e-127): 1 * [misc]none: (2.1657839461347663e+307): 0 * [misc]none: (6.629963208070179e-180): 1 * [misc]none: (2.5453262068352747e+307): 0 * [misc]none: (1.7005338626981419e-143): 1 * [misc]none: (7.808994559121766e-111): 1 * [misc]none: (8.788013174305029e-230): 1 * [misc]none: (2.5557776305939374e+86): 0 * [misc]none: (3.2454192740264175e-113): 1 * [misc]none: (4.896551008070313e-307): 1 * [misc]none: (1.2607016124581028e+98): 0 * [misc]none: (6.351701463874224e-34): 1 * [misc]none: (1.1127979592570306e-297): 1 * [misc]none: (2.0134175477923286e-117): 1 * [misc]none: (3.3910436622012204e+183): 0 * [misc]none: (2.1370924660732585e-137): 1 * [misc]none: (5.027318832526334e+284): 0 * [misc]none: (1.0214816826091913e+147): 0 * [misc]none: (9.44950370602155e+215): 0 * [misc]none: (1.453842915541268e+187): 0 * [misc]none: (4.172324580820008e-133): 1 * [misc]none: (1.6563474243613627e-33): 1 * [misc]none: (1.0684729481870001e-64): 1 * [misc]none: (6.3073426358942834e+75): 0 * [misc]none: (3.1520683467019444e-71): 1 * [misc]none: (0.19659739803111875): 1 * [misc]none: (7.786539791485611e+181): 0 * [misc]none: (2.4995037253728046e-268): 1 * [misc]none: (4.637177905335891e-10): 1 * [misc]none: (8.652041834233969e-101): 1 * [misc]none: (3.209451012414084e+270): 0 * [misc]none: (3.7907433031673317e-256): 1 * [misc]none: (8.76720870691781e-247): 1 * [misc]none: (6.160331831501279e+241): 0 * [misc]none: (3.4124175886179475e+199): 0 * [misc]none: (3.0044088767799776e-30): 1 * [misc]none: (4.7140908881238785e+103): 0 * [misc]none: (2.3604863517900675e+30): 0 * [misc]none: (6.476730028728146e-228): 1 * [misc]none: (3.369115258471057e+173): 0 * [misc]none: (1.3383461391823352e+303): 0 * [misc]none: (2.3157792094796435e+174): 0 * [misc]none: (4.097601147132013e-78): 1 * [misc]none: (4.194634882433556e+107): 0 * [misc]none: (3.3390334975960143e-07): 1 * [misc]none: (2.2475155879831534e-92): 1 * [misc]none: (1.030614327019319e-115): 1 * [misc]none: (1.8172920677413648e+103): 0 * [misc]none: (1.186346974675696e+155): 0 * [misc]none: (6.283729883572828e+84): 0 * [misc]none: (3.6636765762957594e-187): 1 * [misc]none: (1.7036347403091437e+117): 0 * [misc]none: (9.645064592867311e+67): 0 * [misc]none: (1.3872947227834175e-251): 1 * [misc]none: (7.12145855246931e-10): 1 * [misc]none: (2.693461062117409e-112): 1 * [misc]none: (1.6465279540530418e+78): 0 * [misc]none: (2.43524332605807e-278): 1 * [misc]none: (1.0576788912710565e-08): 1 * [misc]none: (4.764080499693186e-90): 1 * [misc]none: (1.3557350350348342e+244): 0 * [misc]none: (1.89639974853721e+92): 0 * [misc]none: (8.2625435987749e+74): 0 * [misc]none: (5.2790261762422465e+19): 0 * [misc]none: (2.0179287053921742e+58): 0 * [misc]none: (2.884705125857619e-274): 1 * [misc]none: (2.031068672850261e-255): 1 * [misc]none: (2.4294527094706238e+82): 0 * [misc]none: (7.274711555473555e+146): 0 * [misc]none: (1.5565784464325313e+71): 0 * [misc]none: (1.2222184804619167e+37): 0 * [misc]none: (4.642568065399805e-260): 1 * [misc]none: (3.8347842435652736e+125): 0 * [misc]none: (7.178809205583962e-175): 1 * [misc]none: (1.4235559851356953e-239): 1 * [misc]none: (4.74667737826054e-29): 1 * [misc]none: (1.868517529275615e+140): 0 * [misc]none: (1.5276944825842992e+272): 0 * [misc]none: (2.1335024129380783e-97): 1 * [misc]none: (1.0953112641111952e+229): 0 * [misc]none: (3.2587696828142436e+75): 0 * [misc]none: (3.7735141958833343e+170): 0 * [misc]none: (1.0233799517176219e-267): 1 * [misc]none: (5.348181441205713e-277): 1 * [misc]none: (2.6631876145177815e-299): 1 * [misc]none: (1.4781375733319608e-242): 1 * [misc]none: (3.003847336951168e+42): 0 * [misc]none: (1.6609596531041104e-183): 1 * [misc]none: (9.568527921939742e-273): 1 * [misc]none: (2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227): 1 * [misc]none: (7.696162327562603e-152): 1 * [misc]none: (5.106850318067203e-223): 1 * [misc]none: (1.3381086996667414e-215): 1 * [misc]none: (1.0224180420716733e-52): 1 * [misc]none: (9.705038014433044e-175): 1 * [misc]none: (6.028770352690154e-151): 1 * [misc]none: (6.224141164637054e+75): 0 * [misc]none: (2.3623052767393814e+153): 0 * [misc]none: (4.4633600804799425e+142): 0 * [misc]none: (1.2790861077923577e+68): 0 * [misc]none: (1.0592112097552954e+143): 0 * [misc]none: (1.6780592368033288e-262): 1 * [misc]none: (1.5331200777386884e+269): 0 * [misc]none: (2.973444851318118e-169): 1 * [misc]none: (1.6828576275377584e-98): 1 * [misc]none: (4.5525663232975395e+86): 0 * [misc]none: (4.922686678959719e-213): 1 * [misc]none: (9.601043864442096e+176): 0 * [misc]none: (5.752669291865014e-257): 1 * [misc]none: (3.0310347416413137e-258): 1 * [misc]none: (3.727663855470157e+254): 0 * [misc]none: (8.775974517752829e+204): 0 * [misc]none: (1.5758037123807388e+87): 0 * [misc]none: (2.4492953260422185e+131): 0 * [misc]none: (5.835395598392501e+198): 0 * [misc]none: (2.2545095115116114e+189): 0 * [misc]none: (2.4757193927168845e-307): 1 * [misc]none: (1.457018723838865e-35): 1 * [misc]none: (9.424239481611678e-294): 1 * [misc]none: (1.5096638452158614e-71): 1 * [misc]none: (6.967234360883543e-112): 1 * [misc]none: (2.0770495361468835e+203): 0 * [misc]none: (3.1401318723071353e-131): 1 * [misc]none: (0.228970627026966): 1 * [misc]none: (8.40469635347052e+100): 0 * [misc]none: (2.1321881547753267e-44): 1 * [misc]none: (1.7739584018359304e-207): 1 * [misc]none: (6.866799226360426e-109): 1 * [misc]none: (6.417434319517234e+231): 0 * [misc]none: (4.508352673437809e+248): 0 * [misc]none: (1.430295312965348e-149): 1 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 1 * [misc]none: (1.4966275592591335e-123): 1 * [misc]none: (6.384545099874781e-168): 1 * [misc]none: (4.232269734875141e-205): 1 * [misc]none: (4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277): 0 * [misc]none: (2.68866513359689e-174): 1 * [misc]none: (8.96636707501737e-13): 1 * [misc]none: (1.6082525618587168e-259): 1 * [misc]none: (2.7230496615379425e-188): 1 * [misc]none: (7.15832835948139e-179): 1 * [misc]none: (2.991170371343952e+151): 0 * [misc]none: (8.990843056511833e-32): 1 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 1 * [misc]none: (6.354961149716869e-97): 1 * [misc]none: 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[misc]none: (1.6570172448601563e-137): 1 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (4.0623211606609595e-228): 1 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (6.730955893129463e-197): 1 * [misc]none: (6.724679859609688e-169): 1 * [misc]none: (1.4230714989143866e-75): 1 * [misc]none: (3.493084834288097e-125): 1 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (3.2574885636926814e-211): 1 * [misc]none: (1.3680169753287455e-53): 1 * [misc]none: (2.2957389429922706e-176): 1 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (1.9963004369674967e-80): 1 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 1 * [misc]none: (1.6707151526371295e-190): 1 * [misc]none: (5.1990169359560766e-256): 1 * [misc]none: (8.044445972631143e-28): 1 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 1 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (8.361834195928021e-55): 1 * [misc]none: (7.311006071291519e-101): 1 * [misc]none: (1.782256728493473e+35): 0 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (8.382633428275648e-297): 1 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 1 * [misc]none: (2.6679523035634032e-104): 1 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 1 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (5.0588074473585105e-110): 1 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 1 * [misc]none: (4.416557773834991e-25): 1 * [misc]none: (3.0442880854679596e-31): 1 * [misc]none: (4.664141571059094e-118): 1 * [misc]none: All alt indices * [misc]none: (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))): 0 * [misc]none: (λ (N) (log (/ (exp (log1p N)) N))): 1 * [misc]none: (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))): 2 * [misc]none: Best alt per point * [misc]none: (3.9135950474809954e+67): 0 * [misc]none: (1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136): 0 * [misc]none: (8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266): 1 * [misc]none: (9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06): 1 * [misc]none: (8.105463665693362e-194): 1 * [misc]none: (5.027897585816787e-27): 1 * [misc]none: (0.3310558223342685): 2 * [misc]none: (8.127248813391785e+226): 0 * [misc]none: (7.299372666988037e-80): 1 * [misc]none: (3.506434173585025e+201): 0 * [misc]none: (2.0971939106770033e-216): 1 * [misc]none: (1.504878381563487e-123): 1 * [misc]none: (8.06210226572923e-308): 1 * [misc]none: (1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100): 0 * [misc]none: (2.0724540688985427e-14): 1 * [misc]none: (7.930730410937821e+23): 0 * [misc]none: (1.2219765589404705e+117): 0 * [misc]none: (4.8815870270916733e+188): 0 * [misc]none: (6.537529222720653e-92): 1 * [misc]none: (3.5709688782890513e-43): 1 * [misc]none: (4.870593988390179e-194): 1 * [misc]none: (5.0297272719312193e+287): 0 * [misc]none: (5.41731325733976e-115): 1 * [misc]none: (1.0395093493101161e-28): 1 * [misc]none: (5.540829799846932e-307): 1 * [misc]none: (8.949756960721031e-195): 1 * [misc]none: (2.722605535602291e+155): 0 * [misc]none: (2.9453252035345084e+174): 0 * [misc]none: (1.0160216232612932e-143): 1 * [misc]none: (4.178563936936926e-127): 1 * [misc]none: (2.1657839461347663e+307): 0 * [misc]none: (6.629963208070179e-180): 1 * [misc]none: (2.5453262068352747e+307): 0 * [misc]none: (1.7005338626981419e-143): 1 * [misc]none: (7.808994559121766e-111): 1 * [misc]none: (8.788013174305029e-230): 1 * [misc]none: (2.5557776305939374e+86): 0 * [misc]none: (3.2454192740264175e-113): 1 * [misc]none: (4.896551008070313e-307): 1 * [misc]none: (1.2607016124581028e+98): 0 * [misc]none: (6.351701463874224e-34): 1 * [misc]none: (1.1127979592570306e-297): 1 * [misc]none: (2.0134175477923286e-117): 1 * [misc]none: (3.3910436622012204e+183): 0 * [misc]none: (2.1370924660732585e-137): 1 * [misc]none: (5.027318832526334e+284): 0 * [misc]none: (1.0214816826091913e+147): 0 * [misc]none: (9.44950370602155e+215): 0 * [misc]none: (1.453842915541268e+187): 0 * [misc]none: (4.172324580820008e-133): 1 * [misc]none: (1.6563474243613627e-33): 1 * [misc]none: (1.0684729481870001e-64): 1 * [misc]none: (6.3073426358942834e+75): 0 * [misc]none: (3.1520683467019444e-71): 1 * [misc]none: (0.19659739803111875): 1 * [misc]none: (7.786539791485611e+181): 0 * [misc]none: (2.4995037253728046e-268): 1 * [misc]none: (4.637177905335891e-10): 1 * [misc]none: (8.652041834233969e-101): 1 * [misc]none: (3.209451012414084e+270): 0 * [misc]none: (3.7907433031673317e-256): 1 * [misc]none: (8.76720870691781e-247): 1 * [misc]none: (6.160331831501279e+241): 0 * [misc]none: (3.4124175886179475e+199): 0 * [misc]none: (3.0044088767799776e-30): 1 * [misc]none: (4.7140908881238785e+103): 0 * [misc]none: (2.3604863517900675e+30): 0 * [misc]none: (6.476730028728146e-228): 1 * [misc]none: (3.369115258471057e+173): 0 * [misc]none: (1.3383461391823352e+303): 0 * [misc]none: (2.3157792094796435e+174): 0 * [misc]none: (4.097601147132013e-78): 1 * [misc]none: (4.194634882433556e+107): 0 * [misc]none: (3.3390334975960143e-07): 1 * [misc]none: (2.2475155879831534e-92): 1 * [misc]none: (1.030614327019319e-115): 1 * [misc]none: (1.8172920677413648e+103): 0 * [misc]none: (1.186346974675696e+155): 0 * [misc]none: (6.283729883572828e+84): 0 * [misc]none: (3.6636765762957594e-187): 1 * [misc]none: (1.7036347403091437e+117): 0 * [misc]none: (9.645064592867311e+67): 0 * [misc]none: (1.3872947227834175e-251): 1 * [misc]none: (7.12145855246931e-10): 1 * [misc]none: (2.693461062117409e-112): 1 * [misc]none: (1.6465279540530418e+78): 0 * [misc]none: (2.43524332605807e-278): 1 * [misc]none: (1.0576788912710565e-08): 1 * [misc]none: (4.764080499693186e-90): 1 * [misc]none: (1.3557350350348342e+244): 0 * [misc]none: (1.89639974853721e+92): 0 * [misc]none: (8.2625435987749e+74): 0 * [misc]none: (5.2790261762422465e+19): 0 * [misc]none: (2.0179287053921742e+58): 0 * [misc]none: (2.884705125857619e-274): 1 * [misc]none: (2.031068672850261e-255): 1 * [misc]none: (2.4294527094706238e+82): 0 * [misc]none: (7.274711555473555e+146): 0 * [misc]none: (1.5565784464325313e+71): 0 * [misc]none: (1.2222184804619167e+37): 0 * [misc]none: (4.642568065399805e-260): 1 * [misc]none: (3.8347842435652736e+125): 0 * [misc]none: (7.178809205583962e-175): 1 * [misc]none: (1.4235559851356953e-239): 1 * [misc]none: (4.74667737826054e-29): 1 * [misc]none: (1.868517529275615e+140): 0 * [misc]none: (1.5276944825842992e+272): 0 * [misc]none: (2.1335024129380783e-97): 1 * [misc]none: (1.0953112641111952e+229): 0 * [misc]none: (3.2587696828142436e+75): 0 * [misc]none: (3.7735141958833343e+170): 0 * [misc]none: (1.0233799517176219e-267): 1 * [misc]none: (5.348181441205713e-277): 1 * [misc]none: (2.6631876145177815e-299): 1 * [misc]none: (1.4781375733319608e-242): 1 * [misc]none: (3.003847336951168e+42): 0 * [misc]none: (1.6609596531041104e-183): 1 * [misc]none: (9.568527921939742e-273): 1 * [misc]none: (2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227): 1 * [misc]none: (7.696162327562603e-152): 1 * [misc]none: (5.106850318067203e-223): 1 * [misc]none: (1.3381086996667414e-215): 1 * [misc]none: (1.0224180420716733e-52): 1 * [misc]none: (9.705038014433044e-175): 1 * [misc]none: (6.028770352690154e-151): 1 * [misc]none: (6.224141164637054e+75): 0 * [misc]none: (2.3623052767393814e+153): 0 * [misc]none: (4.4633600804799425e+142): 0 * [misc]none: (1.2790861077923577e+68): 0 * [misc]none: (1.0592112097552954e+143): 0 * [misc]none: (1.6780592368033288e-262): 1 * [misc]none: (1.5331200777386884e+269): 0 * [misc]none: (2.973444851318118e-169): 1 * [misc]none: (1.6828576275377584e-98): 1 * [misc]none: (4.5525663232975395e+86): 0 * [misc]none: (4.922686678959719e-213): 1 * [misc]none: (9.601043864442096e+176): 0 * [misc]none: (5.752669291865014e-257): 1 * [misc]none: (3.0310347416413137e-258): 1 * [misc]none: (3.727663855470157e+254): 0 * [misc]none: (8.775974517752829e+204): 0 * [misc]none: (1.5758037123807388e+87): 0 * [misc]none: (2.4492953260422185e+131): 0 * [misc]none: (5.835395598392501e+198): 0 * [misc]none: (2.2545095115116114e+189): 0 * [misc]none: (2.4757193927168845e-307): 1 * [misc]none: (1.457018723838865e-35): 1 * [misc]none: (9.424239481611678e-294): 1 * [misc]none: (1.5096638452158614e-71): 1 * [misc]none: (6.967234360883543e-112): 1 * [misc]none: (2.0770495361468835e+203): 0 * [misc]none: (3.1401318723071353e-131): 1 * [misc]none: (0.228970627026966): 1 * [misc]none: (8.40469635347052e+100): 0 * [misc]none: (2.1321881547753267e-44): 1 * [misc]none: (1.7739584018359304e-207): 1 * [misc]none: (6.866799226360426e-109): 1 * [misc]none: (6.417434319517234e+231): 0 * [misc]none: (4.508352673437809e+248): 0 * [misc]none: (1.430295312965348e-149): 1 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 1 * [misc]none: (1.4966275592591335e-123): 1 * [misc]none: (6.384545099874781e-168): 1 * [misc]none: (4.232269734875141e-205): 1 * [misc]none: (4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277): 0 * [misc]none: (2.68866513359689e-174): 1 * [misc]none: (8.96636707501737e-13): 1 * [misc]none: (1.6082525618587168e-259): 1 * [misc]none: (2.7230496615379425e-188): 1 * [misc]none: (7.15832835948139e-179): 1 * [misc]none: (2.991170371343952e+151): 0 * [misc]none: (8.990843056511833e-32): 1 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 1 * [misc]none: (6.354961149716869e-97): 1 * [misc]none: (2.8293820765322485e-296): 1 * [misc]none: (5.3887495676776976e+171): 0 * [misc]none: (9.871143682146977e-239): 1 * [misc]none: (5.123849747663666e+133): 0 * [misc]none: (4.007761912625816e-148): 1 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (1.120554825473697e-298): 1 * [misc]none: (7.175557259725409e-49): 1 * [misc]none: (4.4800031186106794e-70): 1 * [misc]none: (2.5265807746711182e-73): 1 * [misc]none: (1.4440898226736705e-53): 1 * [misc]none: (2.3912903471184356e-134): 1 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (1.5780761566396397e+125): 0 * [misc]none: (1.534059348183312e-189): 1 * [misc]none: (2.8419420301747055e+90): 0 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (4.588817619865515e-83): 1 * [misc]none: (6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96): 1 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (1.6570172448601563e-137): 1 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (4.0623211606609595e-228): 1 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (6.730955893129463e-197): 1 * [misc]none: (6.724679859609688e-169): 1 * [misc]none: (1.4230714989143866e-75): 1 * [misc]none: (3.493084834288097e-125): 1 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (3.2574885636926814e-211): 1 * [misc]none: (1.3680169753287455e-53): 1 * [misc]none: (2.2957389429922706e-176): 1 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (1.9963004369674967e-80): 1 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 1 * [misc]none: (1.6707151526371295e-190): 1 * [misc]none: (5.1990169359560766e-256): 1 * [misc]none: (8.044445972631143e-28): 1 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 1 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (8.361834195928021e-55): 1 * [misc]none: (7.311006071291519e-101): 1 * [misc]none: (1.782256728493473e+35): 0 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (8.382633428275648e-297): 1 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 1 * [misc]none: (2.6679523035634032e-104): 1 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 1 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (5.0588074473585105e-110): 1 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 1 * [misc]none: (4.416557773834991e-25): 1 * [misc]none: (3.0442880854679596e-31): 1 * [misc]none: (4.664141571059094e-118): 1 * [misc]none: Picked alt (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N * [misc]taylor: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (- (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N * [misc]taylor: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (- (log N)) in N * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- +nan.0) 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- +nan.0) 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 3)) (- (log N) (* +nan.0 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) * [misc]backup-simplify: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (/ 1 N))) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (+ (* (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N))))) (- (log (/ 1 (- N))))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (+ (* (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N))))) (- (log (/ 1 (- N))))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1) 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) (+ 1/3 (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))))) (sqrt (/ 1 (- (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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) (+ 1/3 (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))))) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) (+ 1/3 (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))))) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) (+ 1/3 (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))))) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/3) 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 3)) (+ (* +nan.0 (pow N 2)) (* +nan.0 N))) into (- (+ (* +nan.0 (pow N 3)) (- (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))))) * [misc]approximate: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log (/ 1 N)))) 2)))) (sqrt (- (log (/ 1 N)))))) (pow (/ 1 N) 2)) (+ (* (/ 1/2 (sqrt (- (log (/ 1 N))))) (/ 1 N)) (sqrt (- (log (/ 1 N)))))) into (- (+ (sqrt (- (log (/ 1 N)))) (* 1/2 (/ 1 (* (sqrt (- (log (/ 1 N)))) N)))) (+ (* 1/8 (/ 1 (* (pow (sqrt (- (log (/ 1 N)))) 3) (pow N 2)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) into (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log (/ 1 (- N))))))) (sqrt (/ 1 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (sqrt (- (log -1) (log (/ 1 (- N))))))) into (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 (pow N 2)))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow N 3)) (+ (* +nan.0 (pow N 2)) (* +nan.0 N))) into (- (+ (* +nan.0 (pow N 3)) (- (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))))) * [misc]approximate: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log (/ 1 N)))) 2)))) (sqrt (- (log (/ 1 N)))))) (pow (/ 1 N) 2)) (+ (* (/ 1/2 (sqrt (- (log (/ 1 N))))) (/ 1 N)) (sqrt (- (log (/ 1 N)))))) into (- (+ (sqrt (- (log (/ 1 N)))) (* 1/2 (/ 1 (* (sqrt (- (log (/ 1 N)))) N)))) (+ (* 1/8 (/ 1 (* (pow (sqrt (- (log (/ 1 N)))) 3) (pow N 2)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) into (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log N))))) (sqrt (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* (+ 1/2 (* 1/4 (/ 1 (- (log -1) (log (/ 1 (- N))))))) (sqrt (/ 1 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (sqrt (- (log -1) (log (/ 1 (- N))))))) into (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 (pow N 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * [exit]simplify: Simplified to (expm1 (- (log1p N) (log N))) * * * * [misc]progress: [ 2 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * [exit]simplify: Simplified to (log1p (- (log1p N) (log N))) * * * * [misc]progress: [ 3 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p N)) (sqrt (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log1p N) * [exit]simplify: Simplified to (log1p N) * * * * [misc]progress: [ 4 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * [exit]simplify: Simplified to (log (- (log1p N) (log N))) * * * * [misc]progress: [ 6 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * [exit]simplify: Simplified to (/ (exp (log1p N)) N) * * * * [misc]progress: [ 7 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p N) (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 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * * * * [misc]progress: [ 8 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * * * * [misc]progress: [ 9 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [enter]simplify: Simplifying (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * * * * [misc]progress: [ 10 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (log1p N))) * [exit]simplify: Simplified to (expm1 (sqrt (log1p N))) * * * * [misc]progress: [ 12 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (sqrt (log1p N))) * [exit]simplify: Simplified to (log1p (sqrt (log1p N))) * * * * [misc]progress: [ 13 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (sqrt (log1p N))) * [exit]simplify: Simplified to (log (sqrt (log1p N))) * * * * [misc]progress: [ 16 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (sqrt (log1p N))) * [exit]simplify: Simplified to (exp (sqrt (log1p N))) * * * * [misc]progress: [ 17 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) * [enter]simplify: Simplifying (cbrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (log1p N))) * [exit]simplify: Simplified to (cbrt (sqrt (log1p N))) * * * * [misc]progress: [ 18 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (log1p N)) (sqrt (log1p N))) (sqrt (log1p N))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * * * * [misc]progress: [ 19 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (log1p N)) (cbrt (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (fabs (cbrt (log1p N))) * [exit]simplify: Simplified to (fabs (cbrt (log1p N))) * [enter]simplify: Simplifying (sqrt (cbrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (log1p N))) * [exit]simplify: Simplified to (sqrt (cbrt (log1p N))) * * * * [misc]progress: [ 20 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [enter]simplify: Simplifying (sqrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * * * * [misc]progress: [ 21 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (log1p N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * * * * [misc]progress: [ 22 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [enter]simplify: Simplifying (sqrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * * * * [misc]progress: [ 23 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (log1p N))) * [exit]simplify: Simplified to (expm1 (sqrt (log1p N))) * * * * [misc]progress: [ 26 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (sqrt (log1p N))) * [exit]simplify: Simplified to (log1p (sqrt (log1p N))) * * * * [misc]progress: [ 27 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (sqrt (log1p N))) * [exit]simplify: Simplified to (log (sqrt (log1p N))) * * * * [misc]progress: [ 30 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (sqrt (log1p N))) * [exit]simplify: Simplified to (exp (sqrt (log1p N))) * * * * [misc]progress: [ 31 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) * [enter]simplify: Simplifying (cbrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (log1p N))) * [exit]simplify: Simplified to (cbrt (sqrt (log1p N))) * * * * [misc]progress: [ 32 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (log1p N)) (sqrt (log1p N))) (sqrt (log1p N))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * [exit]simplify: Simplified to (* (sqrt (log1p N)) (log1p N)) * * * * [misc]progress: [ 33 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (log1p N)) (cbrt (log1p N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (fabs (cbrt (log1p N))) * [exit]simplify: Simplified to (fabs (cbrt (log1p N))) * [enter]simplify: Simplifying (sqrt (cbrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (log1p N))) * [exit]simplify: Simplified to (sqrt (cbrt (log1p N))) * * * * [misc]progress: [ 34 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [enter]simplify: Simplifying (sqrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * * * * [misc]progress: [ 35 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (log1p N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [exit]simplify: Simplified to (sqrt (log1p N)) * * * * [misc]progress: [ 36 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [enter]simplify: Simplifying (sqrt (sqrt (log1p N))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p N))) * * * * [misc]progress: [ 37 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow N 3)) (- (log N) (* +nan.0 (pow N 2))))) * * * * [misc]progress: [ 40 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (/ 1 N))) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ 1/2 (* N N))) * * * * [misc]progress: [ 41 / 47 ] 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: [ 42 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (- (+ (* +nan.0 (pow N 3)) (- (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))))) (- (log N))) * * * * [misc]progress: [ 43 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (- (+ (sqrt (- (log (/ 1 N)))) (* 1/2 (/ 1 (* (sqrt (- (log (/ 1 N)))) N)))) (+ (* 1/8 (/ 1 (* (pow (sqrt (- (log (/ 1 N)))) 3) (pow N 2)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) (- (log N))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (fma (- (+ (/ (/ 1/2 N) (sqrt (log N))) (sqrt (log N))) (* (/ (/ (/ 1 N) N) (sqrt (log N))) (+ 1/4 (/ 1/8 (log N))))) (sqrt (log1p N)) (- (log N))) * * * * [misc]progress: [ 44 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 (pow N 2)))))) (- (log N))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (fma (sqrt (log1p N)) (- (fma (/ (sqrt (/ 1 (+ 0 (log N)))) N) 1/2 (sqrt (+ 0 (log N)))) (fma (sqrt (/ (/ 1 (+ 0 (log N))) (* (+ 0 (log N)) (+ 0 (log N))))) (/ (* 1/8 1) (* N N)) (/ (sqrt (/ 1 (+ 0 (log N)))) (/ (* N N) 1/4)))) (- (log N))) * * * * [misc]progress: [ 45 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (+ (* +nan.0 (pow N 3)) (- (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))))) (sqrt (log1p N)) (- (log N))) * * * * [misc]progress: [ 46 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (+ (sqrt (- (log (/ 1 N)))) (* 1/2 (/ 1 (* (sqrt (- (log (/ 1 N)))) N)))) (+ (* 1/8 (/ 1 (* (pow (sqrt (- (log (/ 1 N)))) 3) (pow N 2)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) (sqrt (log1p N)) (- (log N))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (fma (sqrt (log1p N)) (- (+ (/ (/ 1/2 N) (sqrt (log N))) (sqrt (log N))) (* (/ (/ 1 (* N N)) (sqrt (log N))) (+ (/ 1/8 (log N)) 1/4))) (- (log N))) * * * * [misc]progress: [ 47 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 (pow N 2)))))) (sqrt (log1p N)) (- (log N))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (fma (- (fma 1/2 (/ (sqrt (/ 1 (+ 0 (log N)))) N) (sqrt (+ 0 (log N)))) (fma (sqrt (/ (/ 1 (+ 0 (log N))) (* (+ 0 (log N)) (+ 0 (log N))))) (/ (* 1/8 1) (* N N)) (/ (sqrt (/ 1 (+ 0 (log N)))) (/ (* N N) 1/4)))) (sqrt (log1p N)) (- (log N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * [misc]none: Non-fresh alt: (λ (N) (log (/ (exp (log1p N)) N))) * [misc]none: Non-fresh alt: (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))): 0 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 0 * [misc]none: (1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136): 0 * [misc]none: (8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266): 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(3.003847336951168e+42): 0 * [misc]none: (1.6609596531041104e-183): 1 * [misc]none: (9.568527921939742e-273): 1 * [misc]none: (2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227): 1 * [misc]none: (7.696162327562603e-152): 1 * [misc]none: (5.106850318067203e-223): 1 * [misc]none: (1.3381086996667414e-215): 1 * [misc]none: (1.0224180420716733e-52): 1 * [misc]none: (9.705038014433044e-175): 1 * [misc]none: (6.028770352690154e-151): 1 * [misc]none: (6.224141164637054e+75): 0 * [misc]none: (2.3623052767393814e+153): 0 * [misc]none: (4.4633600804799425e+142): 0 * [misc]none: (1.2790861077923577e+68): 0 * [misc]none: (1.0592112097552954e+143): 0 * [misc]none: (1.6780592368033288e-262): 1 * [misc]none: (1.5331200777386884e+269): 0 * [misc]none: (2.973444851318118e-169): 1 * [misc]none: (1.6828576275377584e-98): 1 * [misc]none: (4.5525663232975395e+86): 0 * [misc]none: (4.922686678959719e-213): 1 * [misc]none: (9.601043864442096e+176): 0 * [misc]none: (5.752669291865014e-257): 1 * [misc]none: (3.0310347416413137e-258): 1 * [misc]none: (3.727663855470157e+254): 0 * [misc]none: (8.775974517752829e+204): 0 * [misc]none: (1.5758037123807388e+87): 0 * [misc]none: (2.4492953260422185e+131): 0 * [misc]none: (5.835395598392501e+198): 0 * [misc]none: (2.2545095115116114e+189): 0 * [misc]none: (2.4757193927168845e-307): 1 * [misc]none: (1.457018723838865e-35): 1 * [misc]none: (9.424239481611678e-294): 1 * [misc]none: (1.5096638452158614e-71): 1 * [misc]none: (6.967234360883543e-112): 1 * [misc]none: (2.0770495361468835e+203): 0 * [misc]none: (3.1401318723071353e-131): 1 * [misc]none: (0.228970627026966): 1 * [misc]none: (8.40469635347052e+100): 0 * [misc]none: (2.1321881547753267e-44): 1 * [misc]none: (1.7739584018359304e-207): 1 * [misc]none: (6.866799226360426e-109): 1 * [misc]none: (6.417434319517234e+231): 0 * [misc]none: (4.508352673437809e+248): 0 * [misc]none: (1.430295312965348e-149): 1 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 1 * [misc]none: (1.4966275592591335e-123): 1 * [misc]none: (6.384545099874781e-168): 1 * [misc]none: (4.232269734875141e-205): 1 * [misc]none: (4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277): 0 * [misc]none: (2.68866513359689e-174): 1 * [misc]none: (8.96636707501737e-13): 1 * [misc]none: (1.6082525618587168e-259): 1 * [misc]none: (2.7230496615379425e-188): 1 * [misc]none: (7.15832835948139e-179): 1 * [misc]none: (2.991170371343952e+151): 0 * [misc]none: (8.990843056511833e-32): 1 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 1 * [misc]none: (6.354961149716869e-97): 1 * [misc]none: (2.8293820765322485e-296): 1 * [misc]none: (5.3887495676776976e+171): 0 * [misc]none: (9.871143682146977e-239): 1 * [misc]none: (5.123849747663666e+133): 0 * [misc]none: (4.007761912625816e-148): 1 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (1.120554825473697e-298): 1 * [misc]none: (7.175557259725409e-49): 1 * [misc]none: (4.4800031186106794e-70): 1 * [misc]none: (2.5265807746711182e-73): 1 * [misc]none: (1.4440898226736705e-53): 1 * [misc]none: (2.3912903471184356e-134): 1 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (1.5780761566396397e+125): 0 * [misc]none: (1.534059348183312e-189): 1 * [misc]none: (2.8419420301747055e+90): 0 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (4.588817619865515e-83): 1 * [misc]none: (6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96): 1 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (1.6570172448601563e-137): 1 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (4.0623211606609595e-228): 1 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (6.730955893129463e-197): 1 * [misc]none: (6.724679859609688e-169): 1 * [misc]none: (1.4230714989143866e-75): 1 * [misc]none: (3.493084834288097e-125): 1 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (3.2574885636926814e-211): 1 * [misc]none: (1.3680169753287455e-53): 1 * [misc]none: (2.2957389429922706e-176): 1 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (1.9963004369674967e-80): 1 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 1 * [misc]none: (1.6707151526371295e-190): 1 * [misc]none: (5.1990169359560766e-256): 1 * [misc]none: (8.044445972631143e-28): 1 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 1 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (8.361834195928021e-55): 1 * [misc]none: (7.311006071291519e-101): 1 * [misc]none: (1.782256728493473e+35): 0 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (8.382633428275648e-297): 1 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 1 * [misc]none: (2.6679523035634032e-104): 1 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 1 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (5.0588074473585105e-110): 1 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 1 * [misc]none: (4.416557773834991e-25): 1 * [misc]none: (3.0442880854679596e-31): 1 * [misc]none: (4.664141571059094e-118): 1 * [misc]none: Picked alt (λ (N) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (* N N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* N N)) in N * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* N N)) in N * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ 1/3 N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (/ 1 N)) into (/ 1/3 N) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/3 (/ 1 (- N))) into (/ 1/3 N) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (/ 1 (* N N)) in N * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) in N * [misc]taylor: Taking taylor expansion of (/ 1 (* N N)) in N * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 N) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/2) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2) (/ 1 (/ 1 N))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) (/ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 N) (/ 1 N))) (- (/ 1/3 (/ 1 N)) 1/2)) in N * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 N)) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 0 -1/2)) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) (/ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) (- (/ 1/3 (/ 1 (- N))) 1/2)) in N * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1/3 (/ 1 (- N))) 1/2) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* 0 -1/2)) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 1 N) N)) * [exit]simplify: Simplified to (expm1 (/ (/ 1 N) N)) * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 1 N) N)) * [exit]simplify: Simplified to (log1p (/ (/ 1 N) N)) * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* N N))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (+ (log N) (log N))) * [exit]simplify: Simplified to (- (+ (log N) (log N))) * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (- (log N)) (log N)) * [exit]simplify: Simplified to (- (- (log N)) (log N)) * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1 N) N)) * [exit]simplify: Simplified to (exp (/ (/ 1 N) N)) * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (* N N))) (cbrt (/ 1 (* N N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 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 (/ 1 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 N) N)) * [exit]simplify: Simplified to (cbrt (/ (/ 1 N) N)) * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (* N N)) (/ 1 (* N N))) (/ 1 (* N N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) * [exit]simplify: Simplified to (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (/ 1 N) N)) * [enter]simplify: Simplifying (sqrt (/ 1 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (/ 1 N) N)) * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (* N N)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- N) N) * [exit]simplify: Simplified to (* (- N) N) * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* N N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 N) N) * [exit]simplify: Simplified to (/ (/ 1 N) N) * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* N N) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* N N) * [exit]simplify: Simplified to (* N N) * * * * [misc]progress: [ 17 / 48 ] 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: [ 18 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ 1/3 N)) * [exit]simplify: Simplified to (expm1 (/ 1/3 N)) * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ 1/3 N)) * [exit]simplify: Simplified to (log1p (/ 1/3 N)) * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ 1/3 N)) * [exit]simplify: Simplified to (log (/ 1/3 N)) * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ 1/3 N)) * [exit]simplify: Simplified to (exp (/ 1/3 N)) * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) * [enter]simplify: Simplifying (cbrt (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 1/3 N)) * [exit]simplify: Simplified to (cbrt (/ 1/3 N)) * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ 1/3 N) 3) * [exit]simplify: Simplified to (pow (/ 1/3 N) 3) * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * [enter]simplify: Simplifying (sqrt (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/3) * [exit]simplify: Simplified to (- 1/3) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 48 ] 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: [ 29 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N 1/3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ N 1/3) * [exit]simplify: Simplified to (/ N 1/3) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (expm1 (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * [exit]simplify: Simplified to (expm1 (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (log1p (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * [exit]simplify: Simplified to (log1p (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* N N)) (- (/ 1/3 N) 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/3 N) 1/2) (* N N)) * [exit]simplify: Simplified to (/ (- (/ 1/3 N) 1/2) (* N N)) * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (log (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * [exit]simplify: Simplified to (log (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (exp (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * [exit]simplify: Simplified to (exp (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))) (cbrt (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)))) * [enter]simplify: Simplifying (cbrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * [exit]simplify: Simplified to (cbrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (pow (fma (- (/ 1/3 N) 1/2) (/ (/ 1 N) N) (/ 1 N)) 3) * [exit]simplify: Simplified to (pow (fma (- (/ 1/3 N) 1/2) (/ (/ 1 N) N) (/ 1 N)) 3) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * [exit]simplify: Simplified to (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * [enter]simplify: Simplifying (sqrt (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * [exit]simplify: Simplified to (sqrt (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N))) * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (pow N 2)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)) * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (pow N 2)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)) * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (pow N 2)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (fma (- (/ 1/3 N) 1/2) (/ 1 (* N N)) (/ 1 N)) * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (fma (* (/ 1 N) (/ 1 N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]progress: [ 46 / 48 ] 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: [ 47 / 48 ] 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: [ 48 / 48 ] 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: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: searching between 1.3914407489683849 and 1.7763568394002505e-14 on (- (log (+ N 1)) (log N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 66089027839097.664 and 0.3310558223342685 on N * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 7.645538102192456 and 1.5131104703713037e-14 on (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 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 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [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 4 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 8 additional inputs, on iter 1 have 8 / 16 * * * * [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 2 have 14 / 16 * * * * [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 3 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 6 / 16 * * * * [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 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [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 4 have 14 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 8 additional inputs, on iter 1 have 8 / 16 * * * * [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 2 have 14 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 2 have 13 / 16 * * * * [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 3 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 8 additional inputs, on iter 1 have 8 / 16 * * * * [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 2 have 12 / 16 * * * * [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 3 have 14 / 16 * * * * [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 4 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [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 3 have 14 / 16 * * * * [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 16 points with exact outputs * [misc]regimes: searching between 1.3914407489683849 and 5.3068660577081075e-14 on (log (/ (exp (log1p N)) N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [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 4 have 15 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 8 additional inputs, on iter 1 have 8 / 16 * * * * [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 2 have 13 / 16 * * * * [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 3 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 6 / 16 * * * * [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 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 12 / 16 * * * * [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 4 have 13 / 16 * * * * [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 5 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [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 3 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 14 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 8 additional inputs, on iter 1 have 8 / 16 * * * * [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 2 have 12 / 16 * * * * [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 3 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 15 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 4 additional inputs, on iter 1 have 12 / 16 * * * * [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 16 points with exact outputs * [misc]regimes: searching between 4.020638612995895 and 1.000000000000053 on (/ (exp (log1p N)) N) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [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 4 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 6 / 16 * * * * [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 8 additional inputs, on iter 2 have 8 / 16 * * * * [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 6 additional inputs, on iter 3 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 14 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 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 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 13 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 5 additional inputs, on iter 1 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 2 have 14 / 16 * * * * [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 3 have 14 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 13 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 6 additional inputs, on iter 1 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 5 additional inputs, on iter 3 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 4 have 14 / 16 * * * * [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 17 points with exact outputs * [misc]regimes: searching between 1.3914407489683847 and 8.760148178582931e-14 on (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 6 / 16 * * * * [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 8 additional inputs, on iter 2 have 8 / 16 * * * * [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 3 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 5 additional inputs, on iter 1 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 2 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 6 additional inputs, on iter 1 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 12 / 16 * * * * [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 4 have 13 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 13 / 16 * * * * [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 4 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 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 2 have 12 / 16 * * * * [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 3 have 14 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 6 / 16 * * * * [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 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 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 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 13 / 16 * * * * [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 4 have 15 / 16 * * * * [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 5 have 15 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 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 2 have 13 / 16 * * * * [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 3 have 15 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 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 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 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 3 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [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 3 have 13 / 16 * * * * [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 4 have 15 / 16 * * * * [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 18 points with exact outputs * [misc]regimes: Found splitpoints: (#s(sp 0 (- (log (+ N 1)) (log N)) 1.8083738955933017e-14) #s(sp 1 (- (log (+ N 1)) (log N)) +nan.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (- (log (+ N 1)) (log N)) 1.8083738955933017e-14) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (log (/ (exp (log1p N)) N))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * [exit]simplify: Simplified to (if (<= (- (log (+ 1 N)) (log N)) 1.8083738955933017e-14) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (log (/ (exp (log1p N)) 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 3971 additional inputs, on iter 1 have 4029 / 8000 * * * * [misc]points: Computing exacts on every 248 of 3971 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 124 of 3971 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 3971 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 3971 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 3971 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 3971 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 3971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 3971 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 1991 additional inputs, on iter 2 have 6009 / 8000 * * * * [misc]points: Computing exacts on every 124 of 1991 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 1991 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 1991 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 1991 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 1991 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 1991 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1991 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 985 additional inputs, on iter 3 have 7015 / 8000 * * * * [misc]points: Computing exacts on every 61 of 985 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 30 of 985 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 985 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 985 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 985 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 985 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 263 additional inputs, on iter 5 have 7737 / 8000 * * * * [misc]points: Computing exacts on every 16 of 263 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 263 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 263 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 263 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 263 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 119 additional inputs, on iter 6 have 7881 / 8000 * * * * [misc]points: Computing exacts on every 7 of 119 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 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 119 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 7 have 7939 / 8000 * * * * [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 29 additional inputs, on iter 8 have 7971 / 8000 * * * * [misc]points: Computing exacts for 29 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 13 additional inputs, on iter 9 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 10 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs