* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 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 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 * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (log1p x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (- 1 x)) in (x) around 0 * [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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* -1 x))) into (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) (- (log -1) (log (/ 1 x))))) into (- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) (- (log (/ 1 (- x)))))) into (- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (- 1 x)) (log1p 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [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]backup-simplify: Simplify (- 1) into -1 * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (log (- 1 x)) (log1p 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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [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]backup-simplify: Simplify (- 1) into -1 * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 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 1) (+ (* -1 (/ -1/2 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) * [misc]approximate: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in 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 (- 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 (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]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]taylor: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in 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 (- 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 (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]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) 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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (- (log x)))))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) * [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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1/2 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (- (log x)))) (* (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ (log -1) (pow (log (/ 1 x)) 2))) (* 2 (/ 1 (pow (log (/ 1 x)) 2)))) (/ (log -1) (pow (log (/ 1 x)) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (/ 1 x)) (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) into (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) * [misc]approximate: Taking taylor expansion of (/ (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- 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]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (/ (log (- 1 (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- 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]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (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 (- 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) (log x)) (log -1)) 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 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (/ 1 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) * [misc]backup-simplify: Simplify (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log 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 (- (/ -1/2 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1/2 (- (log -1) (log x)))) (* (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3)) (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ 1 (- (log -1) (log (/ 1 (- x))))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ 1 (- x))) (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 4 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 5 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (+ (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (log (cbrt (- 1 x)))) (log1p x))) * * * * [misc]progress: [ 6 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (+ (log (sqrt (- 1 x))) (log (sqrt (- 1 x)))) (log1p x))) * * * * [misc]progress: [ 7 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (+ (log 1) (log (- 1 x))) (log1p x))) * * * * [misc]progress: [ 8 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (log (fma (* x x) (- x) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (- (log (fma (* x x) (- x) 1)) (log (+ (* 1 1) (+ (* x x) (* 1 x))))) (log1p x))) * * * * [misc]progress: [ 9 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log (- 1 (* x x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log1p x))) * * * * [misc]progress: [ 10 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 13 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log (- 1 x))) (log (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (log (log (- 1 x))) (log (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (log (- 1 x))) (log (log1p x))))) * * * * [misc]progress: [ 23 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (pow (/ (log (- 1 x)) (log1p x)) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (log (- 1 x)) (log1p x)) 3))) * * * * [misc]progress: [ 26 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- (pow 1 3) (pow x 3))) (log1p x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (log (fma (- x) (* x x) 1)) (log1p x)) * [misc]simplify: Simplified (2 1) to (λ (x) (- (/ (log (fma (- x) (* x x) 1)) (log1p x)) (/ (log (+ (* 1 1) (+ (* x x) (* 1 x)))) (log1p x)))) * * * * [misc]progress: [ 31 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- (* 1 1) (* x x))) (log1p x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (log (- 1 (* x x))) (log1p x)) * [misc]simplify: Simplified (2 1) to (λ (x) (- (/ (log (- 1 (* x x))) (log1p x)) (/ (log (+ 1 x)) (log1p x)))) * * * * [misc]progress: [ 32 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (log (- 1 x)) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (log (- 1 x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (cbrt (log1p x))))) * * * * [misc]progress: [ 33 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (log1p x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (log (- 1 x)) (sqrt (log1p x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))))) * * * * [misc]progress: [ 34 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (log (- 1 x)) (log1p x)))) * [enter]simplify: Simplifying (/ (log (- 1 x)) (log1p x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (log (- 1 x)) (log1p x)))) * * * * [misc]progress: [ 35 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x)))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x))))) * * * * [misc]progress: [ 36 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (sqrt (log1p x))) (/ (cbrt (log (- 1 x))) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (sqrt (log1p x))) (/ (cbrt (log (- 1 x))) (sqrt (log1p x))))) * * * * [misc]progress: [ 37 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (/ (cbrt (log (- 1 x))) (log1p x)))) * [enter]simplify: Simplifying (/ (cbrt (log (- 1 x))) (log1p x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (- 1 x))) (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (/ (cbrt (log (- 1 x))) (log1p x)))) * * * * [misc]progress: [ 38 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log (- 1 x))) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (sqrt (log (- 1 x))) (cbrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log (- 1 x))) (cbrt (log1p x))))) * * * * [misc]progress: [ 39 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) (/ (sqrt (log (- 1 x))) (sqrt (log1p x))))) * * * * [misc]progress: [ 40 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (log (- 1 x))) (/ (sqrt (log (- 1 x))) (log1p x)))) * [enter]simplify: Simplifying (/ (sqrt (log (- 1 x))) (log1p x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (log (- 1 x))) (/ (sqrt (log (- 1 x))) (log1p x)))) * * * * [misc]progress: [ 41 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (log (- 1 x)) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (log (- 1 x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log (- 1 x)) (cbrt (log1p x))))) * * * * [misc]progress: [ 42 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (log1p x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (log (- 1 x)) (sqrt (log1p x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (log1p x))) (/ (log (- 1 x)) (sqrt (log1p x))))) * * * * [misc]progress: [ 43 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (log (- 1 x)) (log1p x)))) * [enter]simplify: Simplifying (/ (log (- 1 x)) (log1p x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (log (- 1 x)) (log1p x)))) * * * * [misc]progress: [ 44 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (log (- 1 x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (cbrt (log1p x)))) * * * * [misc]progress: [ 48 / 59 ] 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 2) to (λ (x) (/ (/ (log (- 1 x)) (sqrt (log1p x))) (sqrt (log1p x)))) * * * * [misc]progress: [ 49 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log1p x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (log (- 1 x)) 1) (log1p x))) * * * * [misc]progress: [ 50 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (/ (log1p x) (cbrt (log (- 1 x)))))) * * * * [misc]progress: [ 52 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (log (- 1 x))) (/ (log1p x) (sqrt (log (- 1 x)))))) * * * * [misc]progress: [ 53 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (fma (* x (- x)) (fma x 1/3 1/2) (- x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x))) * * * * [misc]progress: [ 55 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (- (+ (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (+ (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) (log1p x))) * * * * [misc]progress: [ 56 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (- (- (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (- (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) (log1p x))) * * * * [misc]progress: [ 57 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/2 (pow x 2)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (fma (fma x 1/2 1) (- x) (- 1)) * [misc]simplify: Simplified (2) to (λ (x) (fma (fma x 1/2 1) (- x) (- 1))) * * * * [misc]progress: [ 58 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (- (+ (fma 2 (/ 1 (* (* (log x) (log x)) (* x x))) (fma (/ 1/2 (* x x)) (/ (log -1) (* (log x) (log x))) (/ 2 (* (log x) (- x))))) 1) (+ (/ (log -1) (* (* (log x) (- x)) (* x (* (log x) (log x))))) (+ (/ (log -1) (- (log x))) (/ (log -1) (* x (* (log x) (log x))))))) * [misc]simplify: Simplified (2) to (λ (x) (- (+ (fma 2 (/ 1 (* (* (log x) (log x)) (* x x))) (fma (/ 1/2 (* x x)) (/ (log -1) (* (log x) (log x))) (/ 2 (* (log x) (- x))))) 1) (+ (/ (log -1) (* (* (log x) (- x)) (* x (* (log x) (log x))))) (+ (/ (log -1) (- (log x))) (/ (log -1) (* x (* (log x) (log x)))))))) * * * * [misc]progress: [ 59 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ (/ 1 x) x) (* (+ 0 (log x)) (+ 0 (log x)))) (- (/ (/ (log (/ -1 x)) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log (/ -1 x)) (+ 0 (log x))))) (fma 1/2 (+ (/ (/ (/ 1 x) x) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x))))) (+ (/ (/ 1 x) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3))))) * [misc]simplify: Simplified (2) to (λ (x) (- (+ (/ (/ (/ 1 x) x) (* (+ 0 (log x)) (+ 0 (log x)))) (- (/ (/ (log (/ -1 x)) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log (/ -1 x)) (+ 0 (log x))))) (fma 1/2 (+ (/ (/ (/ 1 x) x) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x))))) (+ (/ (/ 1 x) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3)))))) * * * [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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) 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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [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]backup-simplify: Simplify (- 1) into -1 * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (log1p (- x)) (log1p x)) 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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [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]backup-simplify: Simplify (- 1) into -1 * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 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 1) (+ (* -1 (/ -1/2 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ -1/3 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) * [misc]approximate: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 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 (/ 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 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [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]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]taylor: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) 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 (/ 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 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [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]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) 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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (- (log x)))))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) * [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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1/2 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (- (log x)))) (* (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ (log -1) (pow (log (/ 1 x)) 2))) (* 2 (/ 1 (pow (log (/ 1 x)) 2)))) (/ (log -1) (pow (log (/ 1 x)) 3))) (pow (/ 1 x) 2)) (+ (* (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (/ 1 x)) (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) into (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) * [misc]approximate: Taking taylor expansion of (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- 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]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) 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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- 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]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (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 (- 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) (log x)) (log -1)) 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 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (/ 1 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) * [misc]backup-simplify: Simplify (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log 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 (- (/ -1/2 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1/2 (- (log -1) (log x)))) (* (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3)) (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ 1 (- (log -1) (log (/ 1 (- x))))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ 1 (- x))) (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log1p (- x))) (log (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (log (log1p (- x))) (log (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (log1p (- x))) (log (log1p x))))) * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) (* (* (log1p x) (log1p x)) (log1p x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (pow (/ (log1p (- x)) (log1p x)) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (log1p (- x)) (log1p x)) 3))) * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log1p (- x))) (cbrt (log1p x))) (/ (cbrt (log1p (- x))) (cbrt (log1p x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (log1p (- x))) (cbrt (log1p x))) (/ (cbrt (log1p (- x))) (cbrt (log1p x)))) (/ (cbrt (log1p (- x))) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (cbrt (log1p (- x))) (cbrt (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (cbrt (log1p (- x))) (cbrt (log1p x))))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (/ (sqrt (log1p x)) (cbrt (log1p (- x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (log1p (- x))) (/ (sqrt (log1p x)) (cbrt (log1p (- x))))) (/ (cbrt (log1p (- x))) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (cbrt (log1p (- x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (sqrt (log1p x))) (/ (cbrt (log1p (- x))) (sqrt (log1p x))))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (/ (cbrt (log1p (- x))) (log1p x)))) * [enter]simplify: Simplifying (/ (cbrt (log1p (- x))) (log1p x)) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (/ (cbrt (log1p (- x))) (log1p x)))) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log1p (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (log1p (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log1p (- x))) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (sqrt (log1p (- x))) (cbrt (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (log1p (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (log1p (- x))) (cbrt (log1p x))))) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log1p (- x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (sqrt (log1p (- x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (log1p (- x))) (sqrt (log1p x))) (/ (sqrt (log1p (- x))) (sqrt (log1p x))))) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log1p (- x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (log1p (- x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (log1p (- x))) (/ (sqrt (log1p (- x))) (log1p x)))) * [enter]simplify: Simplifying (/ (sqrt (log1p (- x))) (log1p x)) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (log1p (- x))) (/ (sqrt (log1p (- x))) (log1p x)))) * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (log1p (- x)) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (log1p (- x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (log1p (- x)) (cbrt (log1p x))))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (log1p x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (log1p (- x)) (sqrt (log1p x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (log1p x))) (/ (log1p (- x)) (sqrt (log1p x))))) * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (log1p (- x)) (log1p x)))) * [enter]simplify: Simplifying (/ (log1p (- x)) (log1p x)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (log1p (- x)) (log1p x)))) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (log1p (- x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (cbrt (log1p x)))) * * * * [misc]progress: [ 25 / 32 ] 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 2) to (λ (x) (/ (/ (log1p (- x)) (sqrt (log1p x))) (sqrt (log1p x)))) * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log1p x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (log1p (- x)) 1) (log1p x))) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (/ (log1p x) (cbrt (log1p (- x)))))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (- x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (- x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (log1p (- x))) (/ (log1p x) (sqrt (log1p (- x)))))) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/2 (pow x 2)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (fma (fma x 1/2 1) (- x) (- 1)) * [misc]simplify: Simplified (2) to (λ (x) (fma (fma x 1/2 1) (- x) (- 1))) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (* (pow (log (/ 1 x)) 2) (pow x 2)))) (+ (* 2 (/ 1 (* (log (/ 1 x)) x))) (+ (* 1/2 (/ (log -1) (* (pow (log (/ 1 x)) 2) (pow x 2)))) 1))) (+ (/ (log -1) (* (pow (log (/ 1 x)) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow (log (/ 1 x)) 2) x))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (- (+ (fma 2 (/ 1 (* (* (log x) (log x)) (* x x))) (fma (/ 1/2 (* x x)) (/ (log -1) (* (log x) (log x))) (/ 2 (* (log x) (- x))))) 1) (+ (/ (log -1) (* (* (log x) (- x)) (* x (* (log x) (log x))))) (+ (/ (log -1) (- (log x))) (/ (log -1) (* x (* (log x) (log x))))))) * [misc]simplify: Simplified (2) to (λ (x) (- (+ (fma 2 (/ 1 (* (* (log x) (log x)) (* x x))) (fma (/ 1/2 (* x x)) (/ (log -1) (* (log x) (log x))) (/ 2 (* (log x) (- x))))) 1) (+ (/ (log -1) (* (* (log x) (- x)) (* x (* (log x) (log x))))) (+ (/ (log -1) (- (log x))) (/ (log -1) (* x (* (log x) (log x)))))))) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x))))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ (/ 1 x) x) (* (+ 0 (log x)) (+ 0 (log x)))) (- (/ (/ (log (/ -1 x)) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log (/ -1 x)) (+ 0 (log x))))) (fma 1/2 (+ (/ (/ (/ 1 x) x) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x))))) (+ (/ (/ 1 x) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3))))) * [misc]simplify: Simplified (2) to (λ (x) (- (+ (/ (/ (/ 1 x) x) (* (+ 0 (log x)) (+ 0 (log x)))) (- (/ (/ (log (/ -1 x)) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log (/ -1 x)) (+ 0 (log x))))) (fma 1/2 (+ (/ (/ (/ 1 x) x) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x))))) (+ (/ (/ 1 x) (+ 0 (log x))) (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3)))))) * * * [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 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (log1p x) (log1p (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p x) (log1p (- x))) 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 (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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (log1p x) (log1p (- x))) 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 (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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 -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 (- 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 -1) (+ (* -1 (/ -1/2 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 -1) (+ (* -1 (/ -1/3 -1)) (* 1 (/ -1/2 -1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow x 2)) (+ (* 1 x) -1)) into (- x (+ (* 1/2 (pow x 2)) 1)) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (- (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (- (/ 1 x)))) 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 (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 (/ 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 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (- (/ 1 x)))) 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 (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 (/ 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 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (log -1) (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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (/ 1 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) * [misc]backup-simplify: Simplify (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log 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 (- (/ -1/2 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1/2 (- (log -1) (log x)))) (* (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 x))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 x))))) (+ (/ (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 3)) (* 1/2 (/ (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 2)))))) (pow (/ 1 x) 2)) (+ (* (- (/ 1 (- (log -1) (log (/ 1 x)))) (/ (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 2))) (/ 1 x)) (* -1 (/ (log (/ 1 x)) (- (log -1) (log (/ 1 x))))))) into (- (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 2))) (/ 1 (* x (- (log -1) (log (/ 1 x)))))) (+ (/ (log (/ 1 x)) (- (log -1) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ 1 x)))))) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) x)) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))) (* 1/2 (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2))))))))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (log1p (- (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (log1p (- (/ 1 (- x))))) 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 (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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (log1p (- (/ 1 (- x))))) 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 (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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (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 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (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 (- 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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (- (log x)))))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log 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 (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1/2 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (- (log x)))) (* (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ (log -1) (pow (log (/ 1 (- x))) 2))) (* 2 (/ 1 (pow (log (/ 1 (- x))) 2)))) (/ (log -1) (pow (log (/ 1 (- x))) 3))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 2 (/ 1 (log (/ 1 (- x))))) (/ (log -1) (pow (log (/ 1 (- x))) 2))) (/ 1 (- x))) (* -1 (/ (- (log -1) (log (/ 1 (- x)))) (log (/ 1 (- x))))))) into (- (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ -1 x)) 2)))) (+ (* 2 (/ 1 (* (pow x 2) (pow (log (/ -1 x)) 2)))) (+ (/ (log -1) (* x (pow (log (/ -1 x)) 2))) 1))) (+ (/ (log -1) (* (pow x 2) (pow (log (/ -1 x)) 3))) (+ (/ (log -1) (log (/ -1 x))) (* 2 (/ 1 (* x (log (/ -1 x)))))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (log1p x) (log1p (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (log1p x) (log1p (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) (log1p (- x))) 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 (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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (log1p x) (log1p (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) (log1p (- x))) 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 (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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [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 -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 (- 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 -1) (+ (* -1 (/ -1/2 -1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 -1) (+ (* -1 (/ -1/3 -1)) (* 1 (/ -1/2 -1)))) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ -1/2 -1)) (* -1 (/ 1 -1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (log1p (/ 1 x)) (log1p (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (log1p (/ 1 x)) (log1p (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (- (/ 1 x)))) 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 (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 (/ 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 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (log x) (- (log -1) (log x))))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (log1p (/ 1 x)) (log1p (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (log1p (- (/ 1 x)))) 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 (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 (/ 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 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (log x) (- (log -1) (log x))))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (/ 1 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (* -1 (/ (log x) (- (log -1) (log x)))))))) into (- (+ (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (log x))) (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (* 2 (/ (log -1) (* (- (log -1) (log x)) (log x)))))) (+ (* 2 (/ (log -1) (pow (- (log -1) (log x)) 2))) (+ (/ (pow (log -1) 2) (* (- (log -1) (log x)) (pow (log x) 2))) (/ 1 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (- (+ (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (log x))) (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (* 2 (/ (log -1) (* (- (log -1) (log x)) (log x)))))) (+ (* 2 (/ (log -1) (pow (- (log -1) (log x)) 2))) (+ (/ (pow (log -1) 2) (* (- (log -1) (log x)) (pow (log x) 2))) (/ 1 (- (log -1) (log x)))))) into (- (+ (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (log x))) (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (* 2 (/ (log -1) (* (- (log -1) (log x)) (log x)))))) (+ (* 2 (/ (log -1) (pow (- (log -1) (log x)) 2))) (+ (/ 1 (- (log -1) (log x))) (/ (pow (log -1) 2) (* (- (log -1) (log x)) (pow (log x) 2)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log 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 (- (/ -1/2 (- (log -1) (log x))) (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ -1/2 (- (log -1) (log x)))) (* (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (/ -1 (- (log -1) (log x)))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2)))))) (* -1 (/ (log x) (- (log -1) (log x)))))) (* (- (+ (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (log x))) (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (* 2 (/ (log -1) (* (- (log -1) (log x)) (log x)))))) (+ (* 2 (/ (log -1) (pow (- (log -1) (log x)) 2))) (+ (/ (pow (log -1) 2) (* (- (log -1) (log x)) (pow (log x) 2))) (/ 1 (- (log -1) (log x)))))) (/ (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) (* -1 (/ (log x) (- (log -1) (log x)))))))) into (- (+ (* 1/2 (/ (pow (log -1) 2) (* (- (log -1) (log x)) (pow (log x) 2)))) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (log -1) (log x)) 3) (pow (log x) 2)))) (+ (* 1/2 (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (log x)))) (+ (* 4 (/ (log -1) (pow (- (log -1) (log x)) 3))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 3 (/ (pow (log -1) 2) (pow (- (log -1) (log x)) 4))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4)) (* 2 (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (pow (log x) 2)))))))))))) (+ (* 5 (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 3) (log x)))) (+ (* 3 (/ (* (log -1) (log x)) (pow (- (log -1) (log x)) 4))) (+ (/ (log -1) (* (- (log -1) (log x)) (log x))) (+ (/ (log -1) (pow (- (log -1) (log x)) 2)) (+ (/ (log -1) (* (pow (- (log -1) (log x)) 2) (log x))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log x)) 2) (pow (log x) 3))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (/ (pow (log -1) 3) (* (pow (- (log -1) (log x)) 4) (log x))))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ (pow (log -1) 2) (* (- (log -1) (log x)) (pow (log x) 2)))) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (log -1) (log x)) 3) (pow (log x) 2)))) (+ (* 1/2 (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (log x)))) (+ (* 4 (/ (log -1) (pow (- (log -1) (log x)) 3))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 3 (/ (pow (log -1) 2) (pow (- (log -1) (log x)) 4))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4)) (* 2 (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (pow (log x) 2)))))))))))) (+ (* 5 (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 3) (log x)))) (+ (* 3 (/ (* (log -1) (log x)) (pow (- (log -1) (log x)) 4))) (+ (/ (log -1) (* (- (log -1) (log x)) (log x))) (+ (/ (log -1) (pow (- (log -1) (log x)) 2)) (+ (/ (log -1) (* (pow (- (log -1) (log x)) 2) (log x))) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log x)) 2) (pow (log x) 3))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (/ (pow (log -1) 3) (* (pow (- (log -1) (log x)) 4) (log x))))))))))) into (- (+ (* 2 (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (pow (log x) 2)))) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (log -1) (log x)) 3) (pow (log x) 2)))) (+ (* 1/2 (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 2) (log x)))) (+ (* 1/2 (/ (pow (log -1) 2) (* (- (log -1) (log x)) (pow (log x) 2)))) (+ (* 4 (/ (log -1) (pow (- (log -1) (log x)) 3))) (+ (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4)) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 3 (/ (pow (log -1) 2) (pow (- (log -1) (log x)) 4))) (* 1/2 (/ 1 (- (log -1) (log x)))))))))))) (+ (/ (log x) (pow (- (log -1) (log x)) 3)) (+ (* 5 (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 3) (log x)))) (+ (* 3 (/ (* (log -1) (log x)) (pow (- (log -1) (log x)) 4))) (+ (/ (log -1) (pow (- (log -1) (log x)) 2)) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log x)) 2) (pow (log x) 3))) (+ (/ (log -1) (* (- (log -1) (log x)) (log x))) (+ (/ (log -1) (* (pow (- (log -1) (log x)) 2) (log x))) (/ (pow (log -1) 3) (* (pow (- (log -1) (log x)) 4) (log x))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 2 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow (log (/ 1 x)) 2)))) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ 1 x))) 2) (log (/ 1 x))))) (+ (* 1/2 (/ (pow (log -1) 2) (* (- (log -1) (log (/ 1 x))) (pow (log (/ 1 x)) 2)))) (+ (* 4 (/ (log -1) (pow (- (log -1) (log (/ 1 x))) 3))) (+ (/ (pow (log (/ 1 x)) 2) (pow (- (log -1) (log (/ 1 x))) 4)) (+ (* 1/2 (/ (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 2))) (+ (* 3 (/ (pow (log -1) 2) (pow (- (log -1) (log (/ 1 x))) 4))) (* 1/2 (/ 1 (- (log -1) (log (/ 1 x))))))))))))) (+ (/ (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 3)) (+ (* 5 (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ 1 x))) 3) (log (/ 1 x))))) (+ (* 3 (/ (* (log -1) (log (/ 1 x))) (pow (- (log -1) (log (/ 1 x))) 4))) (+ (/ (log -1) (pow (- (log -1) (log (/ 1 x))) 2)) (+ (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow (log (/ 1 x)) 3))) (+ (/ (log -1) (* (- (log -1) (log (/ 1 x))) (log (/ 1 x)))) (+ (/ (log -1) (* (pow (- (log -1) (log (/ 1 x))) 2) (log (/ 1 x)))) (/ (pow (log -1) 3) (* (pow (- (log -1) (log (/ 1 x))) 4) (log (/ 1 x)))))))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ 1 x))) 2) (log (/ 1 x)))) (+ (/ (log (/ 1 x)) (pow (- (log -1) (log (/ 1 x))) 2)) (* 2 (/ (log -1) (* (- (log -1) (log (/ 1 x))) (log (/ 1 x))))))) (+ (* 2 (/ (log -1) (pow (- (log -1) (log (/ 1 x))) 2))) (+ (/ 1 (- (log -1) (log (/ 1 x)))) (/ (pow (log -1) 2) (* (- (log -1) (log (/ 1 x))) (pow (log (/ 1 x)) 2)))))) (/ 1 x)) (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) into (- (+ (* 3 (/ (pow (log -1) 2) (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 4)))) (+ (* 1/2 (/ (pow (log -1) 2) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2))))) (+ (* 2 (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 2) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2))))) (+ (* 4 (/ (log -1) (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ 1 x)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2)))) (+ (* 2 (/ (log -1) (* (log (/ 1 x)) (* (- (log -1) (log (/ 1 x))) x)))) (+ (* 2 (/ (pow (log -1) 3) (* (pow (log (/ 1 x)) 2) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))))) (+ (/ (pow (log (/ 1 x)) 2) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2))) (+ (* 1/2 (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 2) (* (- (log -1) (log (/ 1 x))) (pow x 2))))) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) x)) (+ (/ (pow (log -1) 2) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) x))) 1)))))))))))) (+ (/ (log -1) (* (log (/ 1 x)) (* (- (log -1) (log (/ 1 x))) (pow x 2)))) (+ (* 2 (/ (log -1) (* x (pow (- (log -1) (log (/ 1 x))) 2)))) (+ (/ (log -1) (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 2))) (+ (/ (log -1) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2)))) (+ (/ 1 (* x (- (log -1) (log (/ 1 x))))) (+ (/ (pow (log -1) 3) (* (pow (log (/ 1 x)) 3) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2)))) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (+ (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 2) (* (- (log -1) (log (/ 1 x))) x))) (+ (* 3 (/ (* (log (/ 1 x)) (log -1)) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2)))) (+ (* 5 (/ (pow (log -1) 2) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))))) (/ (pow (log -1) 3) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2)))))))))))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (log1p (/ 1 (- x))) (log1p (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (log1p (/ 1 (- x))) (log1p (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (log1p (- (/ 1 (- x))))) 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 (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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (- (log -1) (log x)) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (log1p (/ 1 (- x))) (log1p (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (log1p (- (/ 1 (- x))))) 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 (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 (/ 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) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (- (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (- (log -1) (log x)) (log x)))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* -1 (/ (log x) (- (log -1) (log x)))) into (* -1 (/ (log x) (- (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 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (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 (- 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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (- (log x)))))) into (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (* -1 (/ (- (log -1) (log x)) (log x))))))) into (- (/ (log -1) (pow (- (log -1) (log x)) 2)) (* 2 (/ (log x) (pow (- (log -1) (log x)) 2)))) * [misc]backup-simplify: Simplify (- (/ (log -1) (pow (- (log -1) (log x)) 2)) (* 2 (/ (log x) (pow (- (log -1) (log x)) 2)))) into (- (/ (log -1) (pow (- (log -1) (log x)) 2)) (* 2 (/ (log x) (pow (- (log -1) (log x)) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log 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 (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1/2 (- (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (- (log x)))) (* (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (/ 1 (- (log x)))))) into (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ (log x) (- (log -1) (log x)))) (/ (- (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 2 (/ 1 (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) (* -1 (/ (- (log -1) (log x)) (log x))))) (* (- (/ (log -1) (pow (- (log -1) (log x)) 2)) (* 2 (/ (log x) (pow (- (log -1) (log x)) 2)))) (/ (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) (* -1 (/ (- (log -1) (log x)) (log x))))))) into (- (+ (/ (log -1) (* (pow (- (log -1) (log x)) 2) (log x))) (* 4 (/ (log -1) (pow (- (log -1) (log x)) 3)))) (+ (* 1/2 (/ (log -1) (pow (- (log -1) (log x)) 2))) (+ (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 3) (log x))) (+ (* 4 (/ (log x) (pow (- (log -1) (log x)) 3))) (* 2 (/ 1 (pow (- (log -1) (log x)) 2))))))) * [misc]backup-simplify: Simplify (- (+ (/ (log -1) (* (pow (- (log -1) (log x)) 2) (log x))) (* 4 (/ (log -1) (pow (- (log -1) (log x)) 3)))) (+ (* 1/2 (/ (log -1) (pow (- (log -1) (log x)) 2))) (+ (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 3) (log x))) (+ (* 4 (/ (log x) (pow (- (log -1) (log x)) 3))) (* 2 (/ 1 (pow (- (log -1) (log x)) 2))))))) into (- (+ (/ (log -1) (* (pow (- (log -1) (log x)) 2) (log x))) (* 4 (/ (log -1) (pow (- (log -1) (log x)) 3)))) (+ (* 1/2 (/ (log -1) (pow (- (log -1) (log x)) 2))) (+ (/ (pow (log -1) 2) (* (pow (- (log -1) (log x)) 3) (log x))) (+ (* 4 (/ (log x) (pow (- (log -1) (log x)) 3))) (* 2 (/ 1 (pow (- (log -1) (log x)) 2))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ (log -1) (* (pow (- (log -1) (log (/ 1 (- x)))) 2) (log (/ 1 (- x))))) (* 4 (/ (log -1) (pow (- (log -1) (log (/ 1 (- x)))) 3)))) (+ (* 1/2 (/ (log -1) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (+ (/ (pow (log -1) 2) (* (pow (- (log -1) (log (/ 1 (- x)))) 3) (log (/ 1 (- x))))) (+ (* 4 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3))) (* 2 (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ (log -1) (pow (- (log -1) (log (/ 1 (- x)))) 2)) (* 2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)))) (/ 1 (- x))) (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (* 2 (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (* 4 (/ (log -1) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (/ (log -1) (* (pow x 2) (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 2)))))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (pow (log -1) 2) (* (pow x 2) (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (* 4 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (* 2 (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (/ (log -1) (* x (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log1p x)) (log (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (log (log1p x)) (log (log1p (- x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (exp (- (log (log1p x)) (log (log1p (- x))))))) * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log1p x) (log1p x)) (log1p x)) (* (* (log1p (- x)) (log1p (- x))) (log1p (- x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (pow (/ (log1p x) (log1p (- x))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (cbrt (pow (/ (log1p x) (log1p (- x))) 3)))) * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p (- x))) (cbrt (log1p (- x))))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log1p x)) (cbrt (log1p (- x)))) (/ (cbrt (log1p x)) (cbrt (log1p (- x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (* (/ (cbrt (log1p x)) (cbrt (log1p (- x)))) (/ (cbrt (log1p x)) (cbrt (log1p (- x))))) (/ (cbrt (log1p x)) (cbrt (log1p (- x))))))) * [enter]simplify: Simplifying (/ (cbrt (log1p x)) (cbrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p x)) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p (- x))) (cbrt (log1p (- x))))) (/ (cbrt (log1p x)) (cbrt (log1p (- x))))))) * * * * [misc]progress: [ 13 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (sqrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (sqrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (sqrt (log1p (- x)))) (/ (cbrt (log1p x)) (sqrt (log1p (- x))))))) * [enter]simplify: Simplifying (/ (cbrt (log1p x)) (sqrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p x)) (sqrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (sqrt (log1p (- x)))) (/ (cbrt (log1p x)) (sqrt (log1p (- x))))))) * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log1p x)) (cbrt (log1p x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (* (cbrt (log1p x)) (cbrt (log1p x))) (/ (cbrt (log1p x)) (log1p (- x)))))) * [enter]simplify: Simplifying (/ (cbrt (log1p x)) (log1p (- x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p x)) (log1p (- x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (* (cbrt (log1p x)) (cbrt (log1p x))) (/ (cbrt (log1p x)) (log1p (- x)))))) * * * * [misc]progress: [ 15 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log1p x)) (* (cbrt (log1p (- x))) (cbrt (log1p (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (log1p x)) (cbrt (log1p (- x)))) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (/ (sqrt (log1p x)) (cbrt (log1p (- x)))) (cbrt (log1p (- x)))) (/ (sqrt (log1p x)) (cbrt (log1p (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (log1p x)) (cbrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p x)) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (sqrt (log1p x)) (* (cbrt (log1p (- x))) (cbrt (log1p (- x))))) (/ (sqrt (log1p x)) (cbrt (log1p (- x))))))) * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log1p x)) (sqrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p x)) (sqrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (sqrt (log1p x)) (sqrt (log1p (- x)))) (/ (sqrt (log1p x)) (sqrt (log1p (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (log1p x)) (sqrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p x)) (sqrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (sqrt (log1p x)) (sqrt (log1p (- x)))) (/ (sqrt (log1p x)) (sqrt (log1p (- x))))))) * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log1p x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (sqrt (log1p x)) (/ (sqrt (log1p x)) (log1p (- x)))))) * [enter]simplify: Simplifying (/ (sqrt (log1p x)) (log1p (- x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p x)) (log1p (- x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (sqrt (log1p x)) (/ (sqrt (log1p x)) (log1p (- x)))))) * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (log1p (- x))) (cbrt (log1p (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (log1p (- x)))) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (/ 1 (cbrt (log1p (- x)))) (cbrt (log1p (- x)))) (/ (log1p x) (cbrt (log1p (- x))))))) * [enter]simplify: Simplifying (/ (log1p x) (cbrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (log1p x) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ 1 (* (cbrt (log1p (- x))) (cbrt (log1p (- x))))) (/ (log1p x) (cbrt (log1p (- x))))))) * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ 1 (sqrt (log1p (- x)))) (/ (log1p x) (sqrt (log1p (- x))))))) * [enter]simplify: Simplifying (/ (log1p x) (sqrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (log1p x) (sqrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ 1 (sqrt (log1p (- x)))) (/ (log1p x) (sqrt (log1p (- x))))))) * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 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 1) to (λ (x) (/ 1 (* 1 (/ (log1p x) (log1p (- x)))))) * [enter]simplify: Simplifying (/ (log1p x) (log1p (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* 1 (/ (log1p x) (log1p (- x)))))) * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log1p (- x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (log1p (- x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (/ (log1p x) (* (cbrt (log1p (- x))) (cbrt (log1p (- x))))) (cbrt (log1p (- x)))))) * * * * [misc]progress: [ 25 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (- x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (- x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (/ (log1p x) (sqrt (log1p (- x)))) (sqrt (log1p (- x)))))) * * * * [misc]progress: [ 26 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (log1p (- x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (/ (log1p x) 1) (log1p (- x))))) * * * * [misc]progress: [ 27 / 65 ] 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 2 1) to (λ (x) (/ 1 (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (/ (log1p (- x)) (cbrt (log1p x)))))) * * * * [misc]progress: [ 28 / 65 ] 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 2 1) to (λ (x) (/ 1 (/ (sqrt (log1p x)) (/ (log1p (- x)) (sqrt (log1p x)))))) * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 65 ] 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) to (λ (x) (pow (/ (log1p x) (log1p (- x))) (- 1))) * * * * [misc]progress: [ 34 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (log1p x) (log1p (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (log1p x) (log1p (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (* (cbrt (/ (log1p x) (log1p (- x)))) (cbrt (/ (log1p x) (log1p (- x)))))) (cbrt (/ (log1p x) (log1p (- x)))))) * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (log1p x) (log1p (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (log1p x) (log1p (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (sqrt (/ (log1p x) (log1p (- x))))) (sqrt (/ (log1p x) (log1p (- x)))))) * * * * [misc]progress: [ 48 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (log1p x)) (cbrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p x)) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))))) (/ (cbrt (log1p x)) (cbrt (log1p (- x)))))) * * * * [misc]progress: [ 49 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (log1p x)) (sqrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p x)) (sqrt (log1p (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (sqrt (log1p (- x))))) (/ (cbrt (log1p x)) (sqrt (log1p (- x)))))) * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (log1p x)) (log1p (- x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (log1p x)) (log1p (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (* (cbrt (log1p x)) (cbrt (log1p x))) 1)) (/ (cbrt (log1p x)) (log1p (- x))))) * * * * [misc]progress: [ 51 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log1p x)) (cbrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p x)) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (sqrt (log1p x)) (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))))) (/ (sqrt (log1p x)) (cbrt (log1p (- x)))))) * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log1p x)) (sqrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p x)) (sqrt (log1p (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (sqrt (log1p x)) (sqrt (log1p (- x))))) (/ (sqrt (log1p x)) (sqrt (log1p (- x)))))) * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log1p x)) (log1p (- x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (log1p x)) (log1p (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (sqrt (log1p x)) 1)) (/ (sqrt (log1p x)) (log1p (- x))))) * * * * [misc]progress: [ 54 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (cbrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (log1p x) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ 1 (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))))) (/ (log1p x) (cbrt (log1p (- x)))))) * * * * [misc]progress: [ 55 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (sqrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (log1p x) (sqrt (log1p (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ 1 (sqrt (log1p (- x))))) (/ (log1p x) (sqrt (log1p (- x)))))) * * * * [misc]progress: [ 56 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (log1p (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ 1 1)) (/ (log1p x) (log1p (- x))))) * * * * [misc]progress: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (log1p (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 1) (/ (log1p x) (log1p (- x))))) * * * * [misc]progress: [ 58 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (log1p (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (log1p (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (log1p x)) (/ 1 (log1p (- x))))) * * * * [misc]progress: [ 59 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (log1p (- x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (log1p x)) (log1p (- x)))) * * * * [misc]progress: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (+ (* 1/2 (pow x 2)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (fma (* x x) (- 1/2) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (fma (* x x) (- 1/2) (- x 1)))) * * * * [misc]progress: [ 61 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 2))) (/ 1 (* x (- (log -1) (log (/ 1 x)))))) (+ (/ (log (/ 1 x)) (- (log -1) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ 1 x)))))) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) x)) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))) (* 1/2 (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (- (- (+ (+ (/ (/ 1 x) (+ (log -1) (log x))) (/ (log x) (+ (log -1) (log x)))) (/ (/ 1 (* x x)) (* (+ (log -1) (log x)) (+ (log -1) (log x))))) (/ (/ 1/2 (* x x)) (+ (log -1) (log x)))) (+ (fma (/ (/ (- (log x)) (* x x)) (* (+ (log -1) (log x)) (+ (log -1) (log x)))) 1/2 (/ (/ (- (log x)) (* x x)) (pow (+ (log -1) (log x)) 3))) (/ (/ (- (log x)) x) (* (+ (log -1) (log x)) (+ (log -1) (log x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (- (- (+ (+ (/ (/ 1 x) (+ (log -1) (log x))) (/ (log x) (+ (log -1) (log x)))) (/ (/ 1 (* x x)) (* (+ (log -1) (log x)) (+ (log -1) (log x))))) (/ (/ 1/2 (* x x)) (+ (log -1) (log x)))) (+ (fma (/ (/ (- (log x)) (* x x)) (* (+ (log -1) (log x)) (+ (log -1) (log x)))) 1/2 (/ (/ (- (log x)) (* x x)) (pow (+ (log -1) (log x)) 3))) (/ (/ (- (log x)) x) (* (+ (log -1) (log x)) (+ (log -1) (log x)))))))) * * * * [misc]progress: [ 62 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ -1 x)) 2)))) (+ (* 2 (/ 1 (* (pow x 2) (pow (log (/ -1 x)) 2)))) (+ (/ (log -1) (* x (pow (log (/ -1 x)) 2))) 1))) (+ (/ (log -1) (* (pow x 2) (pow (log (/ -1 x)) 3))) (+ (/ (log -1) (log (/ -1 x))) (* 2 (/ 1 (* x (log (/ -1 x)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (/ (log -1) x) (* (log (/ -1 x)) (log (/ -1 x)))) 1) (fma 1/2 (/ (/ (log -1) (* x x)) (* (log (/ -1 x)) (log (/ -1 x)))) (/ (/ 2 (* x x)) (* (log (/ -1 x)) (log (/ -1 x)))))) (+ (+ (/ (/ 2 x) (log (/ -1 x))) (/ (log -1) (log (/ -1 x)))) (/ (/ (log -1) (* x x)) (pow (log (/ -1 x)) 3)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (- (+ (+ (/ (/ (log -1) x) (* (log (/ -1 x)) (log (/ -1 x)))) 1) (fma 1/2 (/ (/ (log -1) (* x x)) (* (log (/ -1 x)) (log (/ -1 x)))) (/ (/ 2 (* x x)) (* (log (/ -1 x)) (log (/ -1 x)))))) (+ (+ (/ (/ 2 x) (log (/ -1 x))) (/ (log -1) (log (/ -1 x)))) (/ (/ (log -1) (* x x)) (pow (log (/ -1 x)) 3)))))) * * * * [misc]progress: [ 63 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/2 (pow x 2)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (fma (fma x 1/2 1) (- x) (- 1)) * [misc]simplify: Simplified (2) to (λ (x) (fma (fma x 1/2 1) (- x) (- 1))) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (/ (pow (log -1) 2) (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 4)))) (+ (* 1/2 (/ (pow (log -1) 2) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2))))) (+ (* 2 (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 2) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2))))) (+ (* 4 (/ (log -1) (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ 1 x)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2)))) (+ (* 2 (/ (log -1) (* (log (/ 1 x)) (* (- (log -1) (log (/ 1 x))) x)))) (+ (* 2 (/ (pow (log -1) 3) (* (pow (log (/ 1 x)) 2) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))))) (+ (/ (pow (log (/ 1 x)) 2) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2))) (+ (* 1/2 (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 2) (* (- (log -1) (log (/ 1 x))) (pow x 2))))) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) x)) (+ (/ (pow (log -1) 2) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) x))) 1)))))))))))) (+ (/ (log -1) (* (log (/ 1 x)) (* (- (log -1) (log (/ 1 x))) (pow x 2)))) (+ (* 2 (/ (log -1) (* x (pow (- (log -1) (log (/ 1 x))) 2)))) (+ (/ (log -1) (* (pow x 2) (pow (- (log -1) (log (/ 1 x))) 2))) (+ (/ (log -1) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2)))) (+ (/ 1 (* x (- (log -1) (log (/ 1 x))))) (+ (/ (pow (log -1) 3) (* (pow (log (/ 1 x)) 3) (* (pow (- (log -1) (log (/ 1 x))) 2) (pow x 2)))) (+ (/ (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))) (+ (/ (log -1) (log (/ 1 x))) (+ (/ (pow (log -1) 2) (* (pow (log (/ 1 x)) 2) (* (- (log -1) (log (/ 1 x))) x))) (+ (* 3 (/ (* (log (/ 1 x)) (log -1)) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2)))) (+ (* 5 (/ (pow (log -1) 2) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 3) (pow x 2))))) (/ (pow (log -1) 3) (* (log (/ 1 x)) (* (pow (- (log -1) (log (/ 1 x))) 4) (pow x 2)))))))))))))))) * * [misc]simplify: iters left: 6 (104 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (fma (/ (* (/ (log -1) x) (/ (log -1) x)) (pow (+ (log x) (log -1)) 4)) 3 (- (+ (+ (fma (* (/ (/ (log -1) (* x x)) (* (+ (log x) (log -1)) (+ (log x) (log -1)))) (/ (log -1) (- (log x)))) 1/2 (/ (* 2 (* (log -1) (log -1))) (* (* (* (log x) (log x)) (* x x)) (* (+ (log x) (log -1)) (+ (log x) (log -1)))))) (fma (/ (/ (log -1) (* x x)) (pow (+ (log x) (log -1)) 3)) 4 (/ (/ 1/2 (* x x)) (+ (log x) (log -1))))) (+ (+ (fma 1/2 (/ (- (log x)) (* (* (+ (log x) (log -1)) (* x x)) (+ (log x) (log -1)))) (/ (* 2 (/ (log -1) (- (log x)))) (* x (+ (log x) (log -1))))) (+ (/ (/ (* (log x) (log x)) (pow (+ (log x) (log -1)) 4)) (* x x)) (/ (/ (* (* (log -1) 2) (* (log -1) (log -1))) (* (log x) (log x))) (* (* (+ (log x) (log -1)) (+ (log x) (log -1))) (* (+ (log x) (log -1)) (* x x)))))) (+ (fma (/ (/ (* (log -1) (log -1)) (* (log x) (log x))) (* (+ (log x) (log -1)) (* x x))) 1/2 (/ (- (log x)) (* (* x (+ (log x) (log -1))) (+ (log x) (log -1))))) (+ 1 (* (/ (log -1) (- (log x))) (/ (/ (log -1) x) (* (+ (log x) (log -1)) (+ (log x) (log -1))))))))) (+ (+ (/ (/ (log -1) (- (log x))) (* (+ (log x) (log -1)) (* x x))) (fma (/ (/ (log -1) x) (* (+ (log x) (log -1)) (+ (log x) (log -1)))) 2 (/ (/ (log -1) (* x x)) (* (+ (log x) (log -1)) (+ (log x) (log -1)))))) (+ (+ (+ (/ (/ 1 x) (+ (log x) (log -1))) (/ (/ (log -1) (- (log x))) (* (* (+ (log x) (log -1)) (* x x)) (+ (log x) (log -1))))) (+ (/ (* (/ (* (log -1) (log -1)) (* (log x) (log x))) (/ (log -1) (- (log x)))) (* (* (+ (log x) (log -1)) (* x x)) (+ (log x) (log -1)))) (/ (- (log x)) (* (* (+ (log x) (log -1)) (+ (log x) (log -1))) (* (+ (log x) (log -1)) (* x x)))))) (+ (+ (+ (/ (/ (* (log -1) (log -1)) (* (log x) (log x))) (* x (+ (log x) (log -1)))) (/ (log -1) (- (log x)))) (/ (* (- (log x)) 3) (/ (pow (+ (log x) (log -1)) 4) (/ (log -1) (* x x))))) (fma (/ (/ (* (log -1) (log -1)) (- (log x))) (* (* (+ (log x) (log -1)) (+ (log x) (log -1))) (* (+ (log x) (log -1)) (* x x)))) 5 (/ (/ (pow (log -1) 3) (- (log x))) (* (pow (+ (log x) (log -1)) 4) (* x x))))))))) * [misc]simplify: Simplified (2) to (λ (x) (fma (/ (* (/ (log -1) x) (/ (log -1) x)) (pow (+ (log x) (log -1)) 4)) 3 (- (+ (+ (fma (* (/ (/ (log -1) (* x x)) (* (+ (log x) (log -1)) (+ (log x) (log -1)))) (/ (log -1) (- (log x)))) 1/2 (/ (* 2 (* (log -1) (log -1))) (* (* (* (log x) (log x)) (* x x)) (* (+ (log x) (log -1)) (+ (log x) (log -1)))))) (fma (/ (/ (log -1) (* x x)) (pow (+ (log x) (log -1)) 3)) 4 (/ (/ 1/2 (* x x)) (+ (log x) (log -1))))) (+ (+ (fma 1/2 (/ (- (log x)) (* (* (+ (log x) (log -1)) (* x x)) (+ (log x) (log -1)))) (/ (* 2 (/ (log -1) (- (log x)))) (* x (+ (log x) (log -1))))) (+ (/ (/ (* (log x) (log x)) (pow (+ (log x) (log -1)) 4)) (* x x)) (/ (/ (* (* (log -1) 2) (* (log -1) (log -1))) (* (log x) (log x))) (* (* (+ (log x) (log -1)) (+ (log x) (log -1))) (* (+ (log x) (log -1)) (* x x)))))) (+ (fma (/ (/ (* (log -1) (log -1)) (* (log x) (log x))) (* (+ (log x) (log -1)) (* x x))) 1/2 (/ (- (log x)) (* (* x (+ (log x) (log -1))) (+ (log x) (log -1))))) (+ 1 (* (/ (log -1) (- (log x))) (/ (/ (log -1) x) (* (+ (log x) (log -1)) (+ (log x) (log -1))))))))) (+ (+ (/ (/ (log -1) (- (log x))) (* (+ (log x) (log -1)) (* x x))) (fma (/ (/ (log -1) x) (* (+ (log x) (log -1)) (+ (log x) (log -1)))) 2 (/ (/ (log -1) (* x x)) (* (+ (log x) (log -1)) (+ (log x) (log -1)))))) (+ (+ (+ (/ (/ 1 x) (+ (log x) (log -1))) (/ (/ (log -1) (- (log x))) (* (* (+ (log x) (log -1)) (* x x)) (+ (log x) (log -1))))) (+ (/ (* (/ (* (log -1) (log -1)) (* (log x) (log x))) (/ (log -1) (- (log x)))) (* (* (+ (log x) (log -1)) (* x x)) (+ (log x) (log -1)))) (/ (- (log x)) (* (* (+ (log x) (log -1)) (+ (log x) (log -1))) (* (+ (log x) (log -1)) (* x x)))))) (+ (+ (+ (/ (/ (* (log -1) (log -1)) (* (log x) (log x))) (* x (+ (log x) (log -1)))) (/ (log -1) (- (log x)))) (/ (* (- (log x)) 3) (/ (pow (+ (log x) (log -1)) 4) (/ (log -1) (* x x))))) (fma (/ (/ (* (log -1) (log -1)) (- (log x))) (* (* (+ (log x) (log -1)) (+ (log x) (log -1))) (* (+ (log x) (log -1)) (* x x)))) 5 (/ (/ (pow (log -1) 3) (- (log x))) (* (pow (+ (log x) (log -1)) 4) (* x x)))))))))) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (* 4 (/ (log -1) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (/ (log -1) (* (pow x 2) (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 2)))))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ (pow (log -1) 2) (* (pow x 2) (* (log (/ -1 x)) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (* 4 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (* 2 (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (/ (log -1) (* x (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (log -1) (* (* (log (/ -1 x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x))))) (fma (/ (/ 4 (+ 0 (log x))) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log -1) (* x x)) (/ (* (/ 2 x) (log (/ -1 x))) (* (+ 0 (log x)) (+ 0 (log x)))))) (/ (* (/ (log -1) x) (/ (log -1) x)) (* (* (+ 0 (log x)) (log (/ -1 x))) (* (+ 0 (log x)) (+ 0 (log x)))))) (+ (fma (/ (/ 4 (+ 0 (log x))) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log (/ -1 x)) (* x x)) (fma (/ 1/2 (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log -1) (* x x)) (/ (/ (/ 2 x) x) (* (+ 0 (log x)) (+ 0 (log x)))))) (+ (/ (/ (log -1) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log (/ -1 x)) (+ 0 (log x)))))) * [misc]simplify: Simplified (2) to (λ (x) (- (- (+ (/ (log -1) (* (* (log (/ -1 x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x))))) (fma (/ (/ 4 (+ 0 (log x))) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log -1) (* x x)) (/ (* (/ 2 x) (log (/ -1 x))) (* (+ 0 (log x)) (+ 0 (log x)))))) (/ (* (/ (log -1) x) (/ (log -1) x)) (* (* (+ 0 (log x)) (log (/ -1 x))) (* (+ 0 (log x)) (+ 0 (log x)))))) (+ (fma (/ (/ 4 (+ 0 (log x))) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log (/ -1 x)) (* x x)) (fma (/ 1/2 (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log -1) (* x x)) (/ (/ (/ 2 x) x) (* (+ 0 (log x)) (+ 0 (log x)))))) (+ (/ (/ (log -1) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (log (/ -1 x)) (+ 0 (log 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: generating series expansions * * * [misc]progress: simplifying candidates * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 2 branch expressions: (x (/ (log (- 1 x)) (log (+ 1 x)))) * * * * [misc]regimes: Trying to branch on x from (# # #) * * * * [misc]regimes: Trying to branch on (/ (log (- 1 x)) (log (+ 1 x))) from (# # #) * * * [misc]regime: Found split indices: #