* [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: Computing exacts on every 8 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: 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 161 additional inputs, on iter 1 have 95 / 256 * * * * [misc]points: Computing exacts on every 10 of 161 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 5 of 161 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 161 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 161 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 109 additional inputs, on iter 2 have 147 / 256 * * * * [misc]points: Computing exacts on every 6 of 109 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 109 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 109 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 75 additional inputs, on iter 3 have 181 / 256 * * * * [misc]points: Computing exacts on every 4 of 75 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 75 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 75 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 53 additional inputs, on iter 4 have 203 / 256 * * * * [misc]points: Computing exacts on every 3 of 53 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 53 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 39 additional inputs, on iter 5 have 217 / 256 * * * * [misc]points: Computing exacts on every 2 of 39 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 39 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 6 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 19 additional inputs, on iter 7 have 237 / 256 * * * * [misc]points: Computing exacts for 19 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 8 have 244 / 256 * * * * [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 8 additional inputs, on iter 9 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 6 additional inputs, on iter 10 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]taylor: Taking taylor expansion of (- 1 (exp (/ (log x) 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 (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) 0) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 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 (+ 0 0) 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 (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [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 (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 0) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 into 0 * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]approximate: Taking taylor expansion of (- (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* n (log x))))) into (- (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* n (log x)))) (- (exp (* -1 (* n (log x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) n) 0) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [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 (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) 0) into (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [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 (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) 0) into (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (* (exp (* -1 (* n (log x)))) 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 (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [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]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* -1 (log x)) 1) (* (* 1/2 (pow (log x) 2)) 0))) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 x))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1 (* (/ 1 n) (/ 1 x))))) into (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (- (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* (- (log -1) (log x)) n)))) into (- (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* (- (log -1) (log x)) n))) (- (exp (* -1 (* (- (log -1) (log x)) n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) 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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* -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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) 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 (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x)))) (+ (* 1 (- (log x) (log -1))) (* 0 1))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 (- x))) (log -1)) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in n * [misc]taylor: Taking taylor expansion of (+ x 1) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 1) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ x 1)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ x 1) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ x 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 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 (+ 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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 x) 1) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 x) 1) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow n 2)) (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 n) (/ 1 x))) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 x) 1) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 (- x)) 1) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (fma (pow (cbrt (+ 1 x)) (/ 1 n)) (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (cbrt (+ 1 x)) (/ 1 n)) (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (cbrt (+ 1 x)) (/ 1 n)) (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 (/ 1 n)) (pow (+ x 1) (/ 1 n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 (/ 1 n)) (pow (+ x 1) (/ 1 n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 (/ 1 n)) (pow (+ x 1) (/ 1 n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n))) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n))) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 12 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n))) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n))) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n))) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n))) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (+ x 1) (/ 1 n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (+ x 1) (/ 1 n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (+ x 1) (/ 1 n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ 1 x)) (/ 1 n)) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x n) (fma 1 (pow (+ x 1) (/ 1 n)) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) (cbrt (pow (+ x 1) (/ 1 n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (+ x 1) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ 1 x) (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (pow (+ x 1) (/ 1 n))) (exp (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (log (exp (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n)))))) * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ 1 x)) (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (* (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ 1 x)) (/ 1 n))) (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))))) * [enter]simplify: Simplifying (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) (- (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ 1 x) (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (* (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ 1 x) (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * [enter]simplify: Simplifying (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* 1 (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))))) * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 5 (7 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 (30 enodes) * [exit]simplify: Simplified to (/ (log1p x) n) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (pow (+ 1 x) (* 1 (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ x 1) (sqrt (/ 1 n))) (sqrt (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 49 / 66 ] 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) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ x 1) 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 50 / 66 ] 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) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ x 1) 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (* (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ x 1)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ 1 x)) (/ 1 n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (* (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (* 1 (pow (+ x 1) (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (/ (log x) n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- 1 (exp (/ (log x) n))) * [misc]simplify: Simplified (2) to (λ (x n) (- 1 (exp (/ (log x) n)))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x)))) * [misc]simplify: Simplified (2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ (log -1) x) (* n n)) (/ (log (/ -1 x)) (* n (* x n)))) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* x n)))) * [misc]simplify: Simplified (2) to (λ (x n) (+ (- (/ (/ (log -1) x) (* n n)) (/ (log (/ -1 x)) (* n (* x n)))) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* x n))))) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x n) (- 1 (pow x (/ 1 n)))) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) * [misc]simplify: Simplified (2 1) to (λ (x n) (- (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) (pow x (/ 1 n)))) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (- (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) (pow x (/ 1 n)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 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 (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (/ (log1p x) n)) into (exp (/ (log1p x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) 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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into 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 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into 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 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]taylor: Taking taylor expansion of (- 1 (exp (/ (log x) 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 (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 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 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) 0) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 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 (+ 0 0) 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 (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [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 (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 0) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 into 0 * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]approximate: Taking taylor expansion of (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) 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 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 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 (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* n (log x))))) into (- (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* n (log x)))) (- (exp (* -1 (* n (log x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [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 (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) n) 0) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [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 (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) 0) into (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n)) (/ 0 (/ 1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [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 (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) 0) into (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (* (exp (* -1 (* n (log x)))) 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 (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [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]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* -1 (log x)) 1) (* (* 1/2 (pow (log x) 2)) 0))) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 x))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1 (* (/ 1 n) (/ 1 x))))) into (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) 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 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [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 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* (- (log -1) (log x)) n)))) into (- (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* (- (log -1) (log x)) n))) (- (exp (* -1 (* (- (log -1) (log x)) n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) 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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* -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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/3 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))) (* (* 1/2 n) (/ 0 (/ -1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) 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 (/ (+ (* 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) 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 (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [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 (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x)))) (+ (* 1 (- (log x) (log -1))) (* 0 1))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 (- x))) (log -1)) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (log1p x) n) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 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 (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into 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 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into 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 n) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 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]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (* (/ 1 n) (pow x 3))) (+ (* -1/2 (* (/ 1 n) (pow x 2))) (* 1 (* (/ 1 n) x)))) into (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) 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 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 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 (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [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 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (+ (* 1 (* (/ 1 n) (/ 1 x))) (* (- (log (/ 1 x))) (* (/ 1 n) 1)))) into (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) 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 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [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 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) 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 (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)))) into (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 2 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 3 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 4 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (/ (log1p x) n))) (sqrt (exp (/ (log1p x) n))) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 5 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (/ (log1p x) n))) (sqrt (exp (/ (log1p x) n))) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 6 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (/ (log1p x) n))) (sqrt (exp (/ (log1p x) n))) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 7 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (/ (log1p x) n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 8 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (/ (log1p x) n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 9 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (/ (log1p x) n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 10 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 13 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (/ (log1p x) n))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (exp (/ (log1p x) n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (sqrt (exp (/ (log1p x) n))) (sqrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 14 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (/ (log1p x) n))) (exp (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (log (exp (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))))) * * * * [misc]progress: [ 16 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (* (+ (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))))) * [enter]simplify: Simplifying (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 27 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* 1 (- (exp (/ (log1p x) n)) (pow x (/ 1 n))))) * * * * [misc]progress: [ 28 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (exp (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (/ n (cbrt (log1p x))))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 42 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (exp (/ (sqrt (log1p x)) (/ n (sqrt (log1p x))))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 43 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (/ (log x) n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- 1 (exp (/ (log x) n))) * [misc]simplify: Simplified (2) to (λ (x n) (- 1 (exp (/ (log x) n)))) * * * * [misc]progress: [ 45 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x)))) * [misc]simplify: Simplified (2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 46 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ (log -1) x) (* n n)) (/ (log (/ -1 x)) (* n (* x n)))) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* x n)))) * [misc]simplify: Simplified (2) to (λ (x n) (+ (- (/ (/ (log -1) x) (* n n)) (/ (log (/ -1 x)) (* n (* x n)))) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* x n))))) * * * * [misc]progress: [ 47 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (fma (* x (/ x n)) (- (* 1/3 x) 1/2) (/ x n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (fma (* x (/ x n)) (- (* 1/3 x) 1/2) (/ x n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 48 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (- (/ (log x) n) (- (/ (/ 1/2 x) (* n x)) (/ 1 (* n x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (- (/ (log x) n) (- (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 49 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 1 x) n) 0) (- (/ (log x) n) (/ (/ 1/2 x) (* n x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (+ (+ (/ (/ 1 x) n) 0) (- (/ (log x) n) (/ (/ 1/2 x) (* n x))))) (pow x (/ 1 n)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (pow x -2) (/ 1 n))) into (/ 1/2 (* (pow x 2) n)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (pow (/ 1 x) 2) (/ 1 n))) into (/ 1/2 (* (pow x 2) n)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (* -1/2 1) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 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) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (pow (/ 1 (- x)) 2) (/ 1 (- n)))) into (/ 1/2 (* (pow x 2) n)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (* n x)) in x * [misc]taylor: Taking taylor expansion of (* n x) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* n x)) in n * [misc]taylor: Taking taylor expansion of (* n x) in n * [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 x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* n x)) in n * [misc]taylor: Taking taylor expansion of (* n x) in n * [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 x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow x 2)) (- (/ 1 x))) into (- (* 1/2 (/ 1 (pow x 2))) (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* 1/2 1) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (+ (* 1/2 0) (+ (* 0 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 x) (/ 1 n))) (* 1/2 (* (pow x -2) (/ 1 n)))) into (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) (/ 1 (* (/ 1 n) (/ 1 x)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) (/ 1 (* (/ 1 n) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) (/ 1 (* (/ 1 n) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 x)) 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 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) (/ 1 (* (/ 1 n) (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 x)) 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 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (- x)) into (- (* 1/2 (pow x 2)) x) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow x 2)) x) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (pow (/ 1 x) 2) (/ 1 n))) (* -1 (* (/ 1 x) (/ 1 n)))) into (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) (/ 1 (* (/ 1 (- n)) (/ 1 (- x))))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) (/ 1 (* (/ 1 (- n)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) (/ 1 (* (/ 1 (- n)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) 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 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) (/ 1 (* (/ 1 (- n)) (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) 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 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (+ (* -1/2 (pow x 2)) (- x)) into (- (+ x (* 1/2 (pow x 2)))) * [misc]taylor: Taking taylor expansion of (- (+ x (* 1/2 (pow x 2)))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 (pow x 2))) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (pow (/ 1 (- x)) 2) (/ 1 (- n)))) (* -1 (* (/ 1 (- x)) (/ 1 (- n))))) into (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (log x) (* n x)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log x) (* n x)) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (* n x) in n * [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 x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ (log x) x) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (/ (log x) (* n x)) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* n x) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) n) into (/ (log x) n) * [misc]taylor: Taking taylor expansion of (/ (log x) (* n x)) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* n x) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) n) into (/ (log x) n) * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x) 1) into (log x) * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log x) (* (/ 1 n) (/ 1 x))) into (/ (log x) (* x n)) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (/ 1 x))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 x)) 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 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (log (/ 1 x)) (/ 1 x)) into (* (log (/ 1 x)) x) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* (/ 1 n) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* (/ 1 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* (/ 1 n) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* (/ 1 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (log x)) (* 0 0)))) 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 (/ (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log (/ 1 x))) (* (/ 1 n) (/ 1 x))) into (* -1 (/ (log (/ 1 x)) (* x n))) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (/ 1 (- x)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) 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 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (log (/ -1 x)) (/ 1 x)) into (* x (log (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (/ 1 (- n)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (/ -1 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ 1 n)) into (* (- (log -1) (log x)) n) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (/ 1 (- n)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (/ -1 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ 1 n)) into (* (- (log -1) (log x)) n) * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* (- (log -1) (log x)) n) (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* (- (log -1) (log x)) n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* (- (log -1) (log x)) n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log -1) (log (/ 1 (- x)))) (* (/ 1 (- n)) (/ 1 (- x)))) into (/ (- (log -1) (log (/ -1 x))) (* x n)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (* n x)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* n x)) in x * [misc]taylor: Taking taylor expansion of (* n x) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (* n x)) in n * [misc]taylor: Taking taylor expansion of (* n x) in n * [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 x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (* n x)) in n * [misc]taylor: Taking taylor expansion of (* n x) in n * [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 x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 x) (/ 1 n))) into (/ 1 (* x n)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 x)) 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 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 n) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 x)) 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 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of x in x * [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 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 x) (/ 1 n))) into (/ 1 (* x n)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- x)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) 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 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- n)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) 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 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- x)) (/ 1 (- n)))) into (/ 1 (* x n)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1/2 n)) (log (* x x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (log (/ 1/2 n)) (log (* x x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (exp (- (log (/ 1/2 n)) (log (* x x)))) (/ 1 (* n x))))) * * * * [misc]progress: [ 5 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1/2 n) (/ 1/2 n)) (/ 1/2 n)) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (cbrt (pow (/ (/ 1/2 n) (* x x)) 3)) (/ 1 (* n x))))) * * * * [misc]progress: [ 8 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) * * [misc]simplify: iters left: 6 (7 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 (/ 1/2 n)) (/ (cbrt (/ 1/2 n)) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (* (* (cbrt (/ 1/2 n)) (/ (cbrt (/ 1/2 n)) x)) (/ (cbrt (/ 1/2 n)) x)) (/ 1 (* n x))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1/2 n)) x) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (* (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 13 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (* (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x)) (/ 1 (* n x))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (* (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 14 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (* (/ 1 x) (/ (/ 1/2 n) x)) (/ 1 (* n x))))) * [enter]simplify: Simplifying (/ (/ 1/2 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 n) x) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (* (/ 1 x) (/ (/ 1/2 n) x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 15 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/2 x) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (* (/ 1/2 x) (/ (/ 1 n) x)) (/ 1 (* n x))))) * [enter]simplify: Simplifying (/ (/ 1 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 n) x) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (* (/ 1/2 x) (/ (/ 1 n) x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 16 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) (/ (* x x) (cbrt (/ 1/2 n)))) (/ 1 (* n x))))) * * * * [misc]progress: [ 21 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1/2 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/2 n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (sqrt (/ 1/2 n)) (/ (* x x) (sqrt (/ 1/2 n)))) (/ 1 (* n x))))) * * * * [misc]progress: [ 22 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 26 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 27 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 28 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 29 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 30 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 31 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 32 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 33 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x) (- (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 34 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x) (- (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 35 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) 0))) * * * * [misc]progress: [ 36 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) 0))) * * * * [misc]progress: [ 37 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) 0))) * * * * [misc]progress: [ 38 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) 0))) * * * * [misc]progress: [ 39 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 40 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 41 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 x) (/ (/ 1/2 n) x) (- (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) 0))) * * * * [misc]progress: [ 42 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 x) (/ (/ 1/2 n) x) (- (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 43 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 x) (/ (/ 1/2 n) x) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x) 1) (* x n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- (/ 1/2 x) 1) (* x n)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- (/ 1/2 x) 1) (* x n)) 0))) * * * * [misc]progress: [ 44 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 x) (/ (/ 1/2 n) x) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x) 1) (* x n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- (/ 1/2 x) 1) (* x n)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- (/ 1/2 x) 1) (* x n)) 0))) * * * * [misc]progress: [ 45 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 x) (/ (/ 1 n) x) (- (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 n) x) (- (/ 1/2 x) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 n) x) (- (/ 1/2 x) 1)) (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 n) x) (- (/ 1/2 x) 1)) 0))) * * * * [misc]progress: [ 46 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 x) (/ (/ 1 n) x) (- (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 47 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 x) (/ (/ 1 n) x) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x) 1) (* x n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- (/ 1/2 x) 1) (* x n)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- (/ 1/2 x) 1) (* x n)) 0))) * * * * [misc]progress: [ 48 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 x) (/ (/ 1 n) x) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x) 1) (* x n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- (/ 1/2 x) 1) (* x n)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- (/ 1/2 x) 1) (* x n)) 0))) * * * * [misc]progress: [ 49 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ 1/2 n) (* x x)) (- (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 50 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ 1/2 n) (* x x)) (- (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 51 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ 1/2 n) (* x x)) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 x) n) (+ (/ 1/2 x) (- 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 x) n) (+ (/ 1/2 x) (- 1))) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 x) n) (+ (/ 1/2 x) (- 1))) 0))) * * * * [misc]progress: [ 52 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ 1/2 n) (* x x)) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 x) n) (+ (/ 1/2 x) (- 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 x) n) (+ (/ 1/2 x) (- 1))) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 x) n) (+ (/ 1/2 x) (- 1))) 0))) * * * * [misc]progress: [ 53 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 n) (/ 1 (* x x)) (- (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))) (* (cbrt (/ 1 (* n x))) (* (cbrt (/ 1 (* n x))) (cbrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0))) * * * * [misc]progress: [ 54 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 n) (/ 1 (* x x)) (- (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x)))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 (* n x)))) (sqrt (/ 1 (* n x))) (* (sqrt (/ 1 (* n x))) (sqrt (/ 1 (* n x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) 0))) * * * * [misc]progress: [ 55 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 n) (/ 1 (* x x)) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) 0))) * * * * [misc]progress: [ 56 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 n) (/ 1 (* x x)) (- (* (/ 1 (* n x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* n x))) 1 (* (/ 1 (* n x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) 0))) * * * * [misc]progress: [ 57 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (/ 1 (* n x)))))) * * * * [misc]progress: [ 60 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (/ 1 (* n x)))))) * * * * [misc]progress: [ 61 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) * * [misc]simplify: iters left: 6 (7 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 (/ 1/2 n)) (/ (cbrt (/ 1/2 n)) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (fma (* (cbrt (/ 1/2 n)) (/ (cbrt (/ 1/2 n)) x)) (/ (cbrt (/ 1/2 n)) x) (- (/ 1 (* n x)))))) * * * * [misc]progress: [ 62 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (/ 1 (* n x)))))) * * * * [misc]progress: [ 63 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (fma (/ 1 x) (/ (/ 1/2 n) x) (- (/ 1 (* n x)))))) * * * * [misc]progress: [ 64 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/2 x) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (fma (/ 1/2 x) (/ (/ 1 n) x) (- (/ 1 (* n x)))))) * * * * [misc]progress: [ 65 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/2 n) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (fma (/ 1/2 n) (/ 1 (* x x)) (- (/ 1 (* n x)))))) * * * * [misc]progress: [ 67 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ (/ 1/2 n) (* x x))) (exp (/ 1 (* n x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (log (exp (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)))))) * * * * [misc]progress: [ 68 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1/2 n) (* n x)) (* (* x x) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* x (- 1/2 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (/ (* x (- 1/2 x)) (* (* x x) (* n x))))) * [enter]simplify: Simplifying (* (* x x) (* n x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (pow x 3) n) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (/ (* x (- 1/2 x)) (* (pow x 3) n)))) * * * * [misc]progress: [ 75 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ 1 (* n x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (/ 1 n) x)) (sqrt (/ (/ 1/2 n) (* x x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (* (+ (sqrt (/ (/ 1 n) x)) (sqrt (/ (/ 1/2 n) (* x x)))) (- (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ 1 (* n x))))))) * [enter]simplify: Simplifying (- (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ 1 (* n x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (- (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1 n) x))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (* (+ (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ 1 (* n x)))) (- (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1 n) x)))))) * * * * [misc]progress: [ 80 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ (/ 1 n) x))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (* (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ (/ 1 n) x))) (- (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x))))))) * [enter]simplify: Simplifying (- (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (/ 1/2 n)) x) (sqrt (/ (/ 1 n) x))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (* (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) (- (/ (sqrt (/ 1/2 n)) x) (sqrt (/ (/ 1 n) x)))))) * * * * [misc]progress: [ 81 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (* 1 (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n)))))) * * * * [misc]progress: [ 82 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (* 1 (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n)))))) * * * * [misc]progress: [ 83 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log x)) (log (* n x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log (log x)) (log (* n x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (exp (- (log (log x)) (log (* n x)))) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 88 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log x) (log x)) (log x)) (* (* (* n x) (* n x)) (* n x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (pow (/ (log x) (* n x)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (cbrt (pow (/ (log x) (* n x)) 3)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 91 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log x)) (cbrt (log x))) n) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (log x)) (/ (cbrt (log x)) n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (* (* (cbrt (log x)) (/ (cbrt (log x)) n)) (/ (cbrt (log x)) x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * [enter]simplify: Simplifying (/ (cbrt (log x)) x) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (cbrt (log x)) x) * [misc]simplify: Simplified (2 1 1 2) to (λ (x n) (- (/ (* (/ (* (cbrt (log x)) (cbrt (log x))) n) (/ (cbrt (log x)) x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 96 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log x)) n) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (log x)) n) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (* (/ (sqrt (log x)) n) (/ (sqrt (log x)) x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * [enter]simplify: Simplifying (/ (sqrt (log x)) x) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (sqrt (log x)) x) * [misc]simplify: Simplified (2 1 1 2) to (λ (x n) (- (/ (* (/ (sqrt (log x)) n) (/ (sqrt (log x)) x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 97 / 132 ] 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) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (* (/ 1 n) (/ (log x) x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * [enter]simplify: Simplifying (/ (log x) x) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ (log x) x) * [misc]simplify: Simplified (2 1 1 2) to (λ (x n) (- (/ (* (/ 1 n) (/ (log x) x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 98 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log x)) (cbrt (log x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log x)) (cbrt (log x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (/ (* (cbrt (log x)) (cbrt (log x))) (/ (* n x) (cbrt (log x)))) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 103 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (/ (sqrt (log x)) (/ (* n x) (sqrt (log x)))) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 104 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 132 ] 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) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (pow (* n x) (- 1))))) * * * * [misc]progress: [ 109 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* (pow x 2) n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (* x x)) n) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 (* x x)) n) (/ 1 (* n x))))) * * * * [misc]progress: [ 122 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* (pow x 2) n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (* x x)) n) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 (* x x)) n) (/ 1 (* n x))))) * * * * [misc]progress: [ 123 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* (pow x 2) n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (* x x)) n) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 (* x x)) n) (/ 1 (* n x))))) * * * * [misc]progress: [ 124 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)))) * * * * [misc]progress: [ 125 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)))) * * * * [misc]progress: [ 126 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)))) * * * * [misc]progress: [ 127 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log x) (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (log x) (* x n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (/ (/ (log x) (* x n)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 128 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ (log (/ 1 x)) (* x n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (log x) (* x n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (/ (/ (log x) (* x n)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 129 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (log -1) (log (/ -1 x))) (* x n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (log x) (* n x)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 130 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 131 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * * [misc]progress: [ 132 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (pow x -2) (/ 1 n))) into (/ 1/2 (* (pow x 2) n)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (pow (/ 1 x) 2) (/ 1 n))) into (/ 1/2 (* (pow x 2) n)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* -1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (* -1/2 1) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 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) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (pow (/ 1 (- x)) 2) (/ 1 (- n)))) into (/ 1/2 (* (pow x 2) n)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1/2 n) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (/ 1/2 n) 1) into (/ 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking 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 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 n) (* x x)) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* x x) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1/2 (pow x 2)) into (/ 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking 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 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow x 2)) (- (/ 1 x))) into (- (* 1/2 (/ 1 (pow x 2))) (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* 1/2 1) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 x) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (+ (* 1/2 0) (+ (* 0 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1/2 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 x) (/ 1 n))) (* 1/2 (* (pow x -2) (/ 1 n)))) into (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) (/ (/ 1 (/ 1 x)) (/ 1 n))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) (/ (/ 1 (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (* 1/2 n) 1) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) (/ (/ 1 (/ 1 x)) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [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 (/ x 1) into x * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) (/ (/ 1 (/ 1 x)) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 n)) (* (/ 1 x) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 (pow x 2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [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 (/ x 1) into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (- x)) into (- (* 1/2 (pow x 2)) x) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow x 2)) x) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* 1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* x (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))) (* 0 (/ 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* x (/ 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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (pow (/ 1 x) 2) (/ 1 n))) (* -1 (* (/ 1 x) (/ 1 n)))) into (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * [misc]approximate: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) (/ (/ 1 (/ 1 (- x))) (/ 1 (- n)))) in (n x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) (/ (/ 1 (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ -1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ (* -1/2 n) 1) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) (/ (/ 1 (/ 1 (- x))) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [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 x) -1) into x * [misc]taylor: Taking taylor expansion of (- (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) (/ (/ 1 (/ 1 (- x))) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- n))) (* (/ 1 (- x)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 (pow x 2))) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [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 x) -1) into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (+ (* -1/2 (pow x 2)) (- x)) into (- (+ x (* 1/2 (pow x 2)))) * [misc]taylor: Taking taylor expansion of (- (+ x (* 1/2 (pow x 2)))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 (pow x 2))) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 x) (/ 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* x (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 x) (/ 0 (/ -1 x))) (* 0 (/ 0 (/ -1 x))))) 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) (+ (* x (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow x 2))) (+ (* (* -1/2 (pow x 2)) (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))) (* 0 (/ 0 (/ 1 (pow x 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 x) (/ 0 (/ -1 x))) (* 0 (/ 0 (/ -1 x))) (* 0 (/ 0 (/ -1 x))))) 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) (+ (* x (/ 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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (pow (/ 1 (- x)) 2) (/ 1 (- n)))) (* -1 (* (/ 1 (- x)) (/ 1 (- n))))) into (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (log x) (* n x)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log x) (* n x)) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (* n x) in n * [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 x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ (log x) x) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (/ (log x) (* n x)) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* n x) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) n) into (/ (log x) n) * [misc]taylor: Taking taylor expansion of (/ (log x) (* n x)) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* n x) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 0)) into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) n) into (/ (log x) n) * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x) 1) into (log x) * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ (log x) n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log x) (* (/ 1 n) (/ 1 x))) into (/ (log x) (* x n)) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (/ 1 x))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (/ 1 x)) 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 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (log (/ 1 x)) (/ 1 x)) into (* (log (/ 1 x)) x) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* (/ 1 n) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* (/ 1 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* (/ 1 n) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* (/ 1 n) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) 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 (log x)) in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (log x)) (* 0 0)))) 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 (/ (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log (/ 1 x))) (* (/ 1 n) (/ 1 x))) into (* -1 (/ (log (/ 1 x)) (* x n))) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (/ 1 (- x)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (/ 1 (- x))) 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 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (log (/ -1 x)) (/ 1 x)) into (* x (log (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (/ 1 (- n)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (/ -1 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ 1 n)) into (* (- (log -1) (log x)) n) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* (/ 1 (- n)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (/ -1 n) -1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ 1 n)) into (* (- (log -1) (log x)) n) * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking 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 x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* (- (log -1) (log x)) n) (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) 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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* (- (log -1) (log x)) n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* (- (log -1) (log x)) n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log -1) (log (/ 1 (- x)))) (* (/ 1 (- n)) (/ 1 (- x)))) into (/ (- (log -1) (log (/ -1 x))) (* x n)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) n) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking 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 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 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 (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 n) (/ 1 x))) into (/ 1 (* x n)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [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 (/ x 1) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 n) (/ 1 x))) into (/ 1 (* x n)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [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 x) -1) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) into (/ 1 (* x n)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1/2 n)) (log (* x x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (log (/ 1/2 n)) (log (* x x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (exp (- (log (/ 1/2 n)) (log (* x x)))) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 5 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1/2 n) (/ 1/2 n)) (/ 1/2 n)) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1/2 n) (* x x)) 3) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (cbrt (pow (/ (/ 1/2 n) (* x x)) 3)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 8 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) * * [misc]simplify: iters left: 6 (7 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 (/ 1/2 n)) (/ (cbrt (/ 1/2 n)) x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (* (* (cbrt (/ 1/2 n)) (/ (cbrt (/ 1/2 n)) x)) (/ (cbrt (/ 1/2 n)) x)) (/ (/ 1 x) n)) 0))) * [enter]simplify: Simplifying (/ (cbrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1/2 n)) x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (* (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 13 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (* (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x)) (/ (/ 1 x) n)) 0))) * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (* (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 14 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (* (/ 1 x) (/ (/ 1/2 n) x)) (/ (/ 1 x) n)) 0))) * [enter]simplify: Simplifying (/ (/ 1/2 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 n) x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (* (/ 1 x) (/ (/ 1/2 n) x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 15 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/2 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (* (/ 1/2 x) (/ (/ 1 n) x)) (/ (/ 1 x) n)) 0))) * [enter]simplify: Simplifying (/ (/ 1 n) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 n) x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (* (/ 1/2 x) (/ (/ 1 n) x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 16 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) (/ (* x x) (cbrt (/ 1/2 n)))) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 21 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1/2 n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/2 n)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (sqrt (/ 1/2 n)) (/ (* x x) (sqrt (/ 1/2 n)))) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 22 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) 0))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0) 0))) * * * * [misc]progress: [ 26 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) 0))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) 0) 0))) * * * * [misc]progress: [ 27 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (* (/ (/ 1 x) n) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1))) 0))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) 0) 0))) * * * * [misc]progress: [ 28 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (* (/ 1 n) (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x)))) 0))) * [enter]simplify: Simplifying (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) 0) 0))) * * * * [misc]progress: [ 29 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) 0))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) 0) 0))) * * * * [misc]progress: [ 30 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) 0))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0) 0))) * * * * [misc]progress: [ 31 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (* (/ (/ 1 x) n) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1))) 0))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) 0) 0))) * * * * [misc]progress: [ 32 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (* (/ 1 n) (/ 1 x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x)))) 0))) * [enter]simplify: Simplifying (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) 0) 0))) * * * * [misc]progress: [ 33 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x) (- (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) 0))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) 0) 0))) * * * * [misc]progress: [ 34 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x) (- (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) 0))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))) 0) 0))) * * * * [misc]progress: [ 35 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x) (- (* (/ (/ 1 x) n) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1))) 0))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0) 0))) * * * * [misc]progress: [ 36 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) (/ (cbrt (/ 1/2 n)) x) (- (* (/ 1 n) (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x)))) 0))) * [enter]simplify: Simplifying (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0) 0))) * * * * [misc]progress: [ 37 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) 0))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0) 0))) * * * * [misc]progress: [ 38 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) * * [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 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) 0))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) 0) 0))) * * * * [misc]progress: [ 39 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (* (/ (/ 1 x) n) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1))) 0))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) 0) 0))) * * * * [misc]progress: [ 40 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (* (/ 1 n) (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x)))) 0))) * [enter]simplify: Simplifying (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0) 0))) * * * * [misc]progress: [ 41 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 x) (/ (/ 1/2 n) x) (- (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 x) (* n x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* n x)) (/ (/ 1 x) n)) (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) 0))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* n x)) (/ (/ 1 x) n)) 0) 0))) * * * * [misc]progress: [ 42 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 x) (/ (/ 1/2 n) x) (- (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) 0))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0) 0))) * * * * [misc]progress: [ 43 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 x) (/ (/ 1/2 n) x) (- (* (/ (/ 1 x) n) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x) 1) (* x n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (/ (- (/ 1/2 x) 1) (* x n)) (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1))) 0))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (/ (- (/ 1/2 x) 1) (* x n)) 0) 0))) * * * * [misc]progress: [ 44 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 x) (/ (/ 1/2 n) x) (- (* (/ 1 n) (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x) 1) (* x n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (/ (- (/ 1/2 x) 1) (* x n)) (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x)))) 0))) * [enter]simplify: Simplifying (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (/ (- (/ 1/2 x) 1) (* x n)) 0) 0))) * * * * [misc]progress: [ 45 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 x) (/ (/ 1 n) x) (- (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) 0))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) 0) 0))) * * * * [misc]progress: [ 46 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 x) (/ (/ 1 n) x) (- (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) 0))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) 0) 0))) * * * * [misc]progress: [ 47 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 x) (/ (/ 1 n) x) (- (* (/ (/ 1 x) n) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x) 1) (* x n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (/ (- (/ 1/2 x) 1) (* x n)) (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1))) 0))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (/ (- (/ 1/2 x) 1) (* x n)) 0) 0))) * * * * [misc]progress: [ 48 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 x) (/ (/ 1 n) x) (- (* (/ 1 n) (/ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 x) 1) (* x n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (/ (- (/ 1/2 x) 1) (* x n)) (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x)))) 0))) * [enter]simplify: Simplifying (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (/ (- (/ 1/2 x) 1) (* x n)) 0) 0))) * * * * [misc]progress: [ 49 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ 1/2 n) (* x x)) (- (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) 0))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* x n)) (/ (/ 1 n) x)) 0) 0))) * * * * [misc]progress: [ 50 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ 1/2 n) (* x x)) (- (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 x) (* x n)) (/ 1 (* x n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* x n)) (/ 1 (* x n))) (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) 0))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* x n)) (/ 1 (* x n))) 0) 0))) * * * * [misc]progress: [ 51 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ 1/2 n) (* x x)) (- (* (/ (/ 1 x) n) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 x) n) (+ (- 1) (/ 1/2 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 x) n) (+ (- 1) (/ 1/2 x))) (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1))) 0))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 x) n) (+ (- 1) (/ 1/2 x))) 0) 0))) * * * * [misc]progress: [ 52 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ 1/2 n) (* x x)) (- (* (/ 1 n) (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x)))) 0))) * [enter]simplify: Simplifying (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 x) n) (- (/ 1/2 x) 1)) 0) 0))) * * * * [misc]progress: [ 53 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 n) (/ 1 (* x x)) (- (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n)))))) 0))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (* (cbrt (/ (/ 1 x) n)) (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 x) (* n x)) (/ 1 (* n x))) 0) 0))) * * * * [misc]progress: [ 54 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 n) (/ 1 (* x x)) (- (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n))))) 0))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ 1 x) n))) (sqrt (/ (/ 1 x) n)) (* (sqrt (/ (/ 1 x) n)) (sqrt (/ (/ 1 x) n)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) 0) 0))) * * * * [misc]progress: [ 55 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 n) (/ 1 (* x x)) (- (* (/ (/ 1 x) n) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (/ 1 (* n x)) (- (/ 1/2 x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ 1 (* n x)) (- (/ 1/2 x) 1)) (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1))) 0))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 x) n)) 1 (* (/ (/ 1 x) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ 1 (* n x)) (- (/ 1/2 x) 1)) 0) 0))) * * * * [misc]progress: [ 56 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1/2 n) (/ 1 (* x x)) (- (* (/ 1 n) (/ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 n) x) (- (/ 1/2 x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 n) x) (- (/ 1/2 x) 1)) (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x)))) 0))) * [enter]simplify: Simplifying (fma (- (/ 1 n)) (/ 1 x) (* (/ 1 n) (/ 1 x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (+ (* (/ (/ 1 n) x) (- (/ 1/2 x) 1)) 0) 0))) * * * * [misc]progress: [ 57 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (fma (* (cbrt (/ (/ 1/2 n) (* x x))) (cbrt (/ (/ 1/2 n) (* x x)))) (cbrt (/ (/ 1/2 n) (* x x))) (- (/ (/ 1 x) n))) 0))) * * * * [misc]progress: [ 60 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 n) (* x x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/2 n) (* x x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (fma (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1/2 n) (* x x))) (- (/ (/ 1 x) n))) 0))) * * * * [misc]progress: [ 61 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1/2 n)) (cbrt (/ 1/2 n))) x) * * [misc]simplify: iters left: 6 (7 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 (/ 1/2 n)) (/ (cbrt (/ 1/2 n)) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (fma (* (cbrt (/ 1/2 n)) (/ (cbrt (/ 1/2 n)) x)) (/ (cbrt (/ 1/2 n)) x) (- (/ (/ 1 x) n))) 0))) * * * * [misc]progress: [ 62 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1/2 n)) x) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1/2 n)) x) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (fma (/ (sqrt (/ 1/2 n)) x) (/ (sqrt (/ 1/2 n)) x) (- (/ (/ 1 x) n))) 0))) * * * * [misc]progress: [ 63 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (fma (/ 1 x) (/ (/ 1/2 n) x) (- (/ (/ 1 x) n))) 0))) * * * * [misc]progress: [ 64 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/2 x) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (fma (/ 1/2 x) (/ (/ 1 n) x) (- (/ (/ 1 x) n))) 0))) * * * * [misc]progress: [ 65 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/2 n) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (fma (/ 1/2 n) (/ 1 (* x x)) (- (/ (/ 1 x) n))) 0))) * * * * [misc]progress: [ 67 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ (/ 1/2 n) (* x x))) (exp (/ (/ 1 x) n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (log (exp (- (/ (/ 1/2 n) (* x x)) (/ 1 (* x n))))) 0))) * * * * [misc]progress: [ 68 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1/2 n) n) (* (* x x) (/ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (- 1/2 x) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- 1/2 x) (* (* x x) n)) 0))) * [enter]simplify: Simplifying (* (* x x) n) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* (* x n) x) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (/ (- 1/2 x) (* (* x n) x)) 0))) * * * * [misc]progress: [ 75 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1 x) n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (+ (sqrt (/ 1 (* x n))) (sqrt (/ (/ 1/2 n) (* x x)))) (- (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1 x) n)))) 0))) * [enter]simplify: Simplifying (- (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1 x) n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ 1 (* x n)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (+ (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ (/ 1 x) n))) (- (sqrt (/ (/ 1/2 n) (* x x))) (sqrt (/ 1 (* x n))))) 0))) * * * * [misc]progress: [ 80 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ (/ 1 x) n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) (- (/ (sqrt (/ 1/2 n)) x) (sqrt (/ (/ 1 x) n)))) 0))) * [enter]simplify: Simplifying (- (/ (sqrt (/ 1/2 n)) x) (sqrt (/ (/ 1 x) n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (+ (/ (sqrt (/ 1/2 n)) x) (sqrt (/ (/ 1 x) n))) (- (/ (sqrt (/ 1/2 n)) x) (sqrt (/ 1 (* n x))))) 0))) * * * * [misc]progress: [ 81 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ 1 x) (- (/ (/ 1/2 n) x) (/ 1 n))) 0))) * [enter]simplify: Simplifying (- (/ (/ 1/2 n) x) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) x) (/ 1 n)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* (/ 1 x) (- (/ (/ 1/2 n) x) (/ 1 n))) 0))) * * * * [misc]progress: [ 82 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (* 1 (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 n) x))) 0))) * * * * [misc]progress: [ 83 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log x)) (log (* n x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log (log x)) (log (* n x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (exp (- (log (log x)) (log (* n x)))) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 88 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log x) (log x)) (log x)) (* (* (* n x) (* n x)) (* n x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (pow (/ (log x) (* n x)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (cbrt (pow (/ (log x) (* n x)) 3)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 91 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log x)) (cbrt (log x))) n) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (log x)) (/ (cbrt (log x)) n)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (* (* (cbrt (log x)) (/ (cbrt (log x)) n)) (/ (cbrt (log x)) x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * [enter]simplify: Simplifying (/ (cbrt (log x)) x) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (cbrt (log x)) x) * [misc]simplify: Simplified (2 1 1 2) to (λ (x n) (- (/ (* (/ (* (cbrt (log x)) (cbrt (log x))) n) (/ (cbrt (log x)) x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 96 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log x)) n) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (log x)) n) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (* (/ (sqrt (log x)) n) (/ (sqrt (log x)) x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * [enter]simplify: Simplifying (/ (sqrt (log x)) x) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (sqrt (log x)) x) * [misc]simplify: Simplified (2 1 1 2) to (λ (x n) (- (/ (* (/ (sqrt (log x)) n) (/ (sqrt (log x)) x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 97 / 133 ] 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) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (* (/ 1 n) (/ (log x) x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * [enter]simplify: Simplifying (/ (log x) x) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ (log x) x) * [misc]simplify: Simplified (2 1 1 2) to (λ (x n) (- (/ (* (/ 1 n) (/ (log x) x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 98 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log x)) (cbrt (log x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log x)) (cbrt (log x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (/ (* (cbrt (log x)) (cbrt (log x))) (/ (* n x) (cbrt (log x)))) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 103 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (/ (/ (sqrt (log x)) (/ (* n x) (sqrt (log x)))) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 104 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ n (cbrt (/ 1 x))))) 0))) * * * * [misc]progress: [ 118 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (sqrt (/ 1 x)) (/ n (sqrt (/ 1 x))))) 0))) * * * * [misc]progress: [ 119 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* (pow x 2) n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (* x x)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 (* x x)) n) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 123 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* (pow x 2) n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (* x x)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 (* x x)) n) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 124 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* (pow x 2) n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (* x x)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 (* x x)) n) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 125 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 126 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 127 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (* (pow x 2) n))) (/ 1 (* x n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 128 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log x) (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (log x) (* x n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (/ (/ (log x) (* x n)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 129 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ (log (/ 1 x)) (* x n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (log x) (* x n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (/ (/ (log x) (* x n)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 130 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (log -1) (log (/ -1 x))) (* x n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (log x) (* n x)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ (/ 1 x) n)) 0))) * * * * [misc]progress: [ 131 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) 0))) * * * * [misc]progress: [ 132 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) 0))) * * * * [misc]progress: [ 133 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x n) (- (/ (/ (log x) (* n x)) n) (+ (- (/ (/ 1/2 n) (* x x)) (/ 1 (* n x))) 0))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # #) * * * [misc]regime-changes: Trying 3 branch expressions: (n (/ 1 n) x) * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ 1 n) from (# # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # # # # #) * * * [misc]regime: Found split indices: #