* [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 "ALT DATA: "{"picked-error":60.07003888241024,"picked":"(λ (x) (/ (log (- 1 x)) (log1p 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* * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] 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 (- (+ (* 1/2 (pow x 2)) (+ (* 1/3 (pow x 3)) 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]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) (+ (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (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]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 x) (* 1/2 (/ 1 (pow x 2)))))) * * * * [misc]progress: [ 2 / 3 ] 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 (- (+ (* 1/2 (pow x 2)) (+ 1 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]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 (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -1) (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -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 (* x (log (/ 1 x))))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))) * [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)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3))))) (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)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (log1p x) in (x) around 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]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 0 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 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]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 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)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (- x))) in (x) around 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]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)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 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 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) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (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 (- x) * [exit]simplify: Simplified to (- x) * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (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 (log1p (log (- 1 x))) * [exit]simplify: Simplified to (log1p (log (- 1 x))) * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 72 ] 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)))) * [exit]simplify: Simplified to (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [enter]simplify: Simplifying (log (cbrt (- 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 (cbrt (- 1 x))) * [exit]simplify: Simplified to (log (cbrt (- 1 x))) * * * * [misc]progress: [ 6 / 72 ] 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))) * [exit]simplify: Simplified to (log (sqrt (- 1 x))) * [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))) * [exit]simplify: Simplified to (log (sqrt (- 1 x))) * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (log (- 1 x)) * [exit]simplify: Simplified to (log (- 1 x)) * * * * [misc]progress: [ 8 / 72 ] 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)) * [exit]simplify: Simplified to (log (fma (* x x) (- x) 1)) * [enter]simplify: Simplifying (log (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (log1p (fma x x x)) * [exit]simplify: Simplified to (log1p (fma x x x)) * * * * [misc]progress: [ 9 / 72 ] 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))) * [exit]simplify: Simplified to (log (- 1 (* x x))) * [enter]simplify: Simplifying (log (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p x) * [exit]simplify: Simplified to (log1p x) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (log (- 1 x)) * [exit]simplify: Simplified to (log (- 1 x)) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (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 (log (log (- 1 x))) * [exit]simplify: Simplified to (log (log (- 1 x))) * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (- 1 x) * [exit]simplify: Simplified to (- 1 x) * * * * [misc]progress: [ 15 / 72 ] 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)))) * [exit]simplify: Simplified to (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * [enter]simplify: Simplifying (cbrt (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 (cbrt (log (- 1 x))) * [exit]simplify: Simplified to (cbrt (log (- 1 x))) * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (pow (log (- 1 x)) 3) * [exit]simplify: Simplified to (pow (log (- 1 x)) 3) * * * * [misc]progress: [ 17 / 72 ] 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))) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * [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))) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (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 (expm1 (/ (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (expm1 (/ (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (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 (log1p (/ (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (log1p (/ (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 72 ] 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))) * [exit]simplify: Simplified to (- (log (log (- 1 x))) (log (log1p x))) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (log (/ (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (log (/ (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (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 (exp (/ (log (- 1 x)) (log1p x))) * [exit]simplify: Simplified to (exp (/ (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 25 / 72 ] 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) * [exit]simplify: Simplified to (pow (/ (log (- 1 x)) (log1p x)) 3) * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (log (- 1 x)) (log1p x))) (cbrt (/ (log (- 1 x)) (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)) (log1p x))) (cbrt (/ (log (- 1 x)) (log1p x)))) * [exit]simplify: Simplified to (* (cbrt (/ (log (- 1 x)) (log1p 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))) * [exit]simplify: Simplified to (cbrt (/ (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (log (- 1 x)) (log1p x)) (/ (log (- 1 x)) (log1p x))) (/ (log (- 1 x)) (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (pow (/ (log (- 1 x)) (log1p x)) 3) * [exit]simplify: Simplified to (pow (/ (log (- 1 x)) (log1p x)) 3) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * [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))) * [exit]simplify: Simplified to (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))) * [exit]simplify: Simplified to (sqrt (/ (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (- 1 x))) * [exit]simplify: Simplified to (- (log (- 1 x))) * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * * * * [misc]progress: [ 30 / 72 ] 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)) * [exit]simplify: Simplified to (/ (log (fma (* x x) (- x) 1)) (log1p x)) * [enter]simplify: Simplifying (/ (log (+ (* 1 1) (+ (* x x) (* 1 x)))) (log1p x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (log1p (fma x x x)) (log1p x)) * [exit]simplify: Simplified to (/ (log1p (fma x x x)) (log1p x)) * * * * [misc]progress: [ 31 / 72 ] 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)) * [exit]simplify: Simplified to (/ (log (- 1 (* x x))) (log1p x)) * [enter]simplify: Simplifying (/ (log (+ 1 x)) (log1p x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (log1p x) (log1p x)) * [exit]simplify: Simplified to (/ (log1p x) (log1p x)) * * * * [misc]progress: [ 32 / 72 ] 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)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (log1p 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))) * [exit]simplify: Simplified to (/ (log (- 1 x)) (cbrt (log1p x))) * * * * [misc]progress: [ 33 / 72 ] 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))) * [exit]simplify: Simplified to (/ 1 (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))) * [exit]simplify: Simplified to (/ (log (- 1 x)) (sqrt (log1p x))) * * * * [misc]progress: [ 34 / 72 ] 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 * [exit]simplify: Simplified to 1 * [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)) * [exit]simplify: Simplified to (/ (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 35 / 72 ] 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)))) * [exit]simplify: Simplified to (* (/ (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))) * [exit]simplify: Simplified to (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) * * * * [misc]progress: [ 36 / 72 ] 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))) (/ (sqrt (log1p x)) (cbrt (log (- 1 x))))) * [exit]simplify: Simplified to (/ (cbrt (log (- 1 x))) (/ (sqrt (log1p x)) (cbrt (log (- 1 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))) * [exit]simplify: Simplified to (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) * * * * [misc]progress: [ 37 / 72 ] 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 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * [exit]simplify: Simplified to (* (cbrt (log (- 1 x))) (cbrt (log (- 1 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)) * [exit]simplify: Simplified to (/ (cbrt (log (- 1 x))) (log1p x)) * * * * [misc]progress: [ 38 / 72 ] 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)))) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (* (cbrt (log1p 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))) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (cbrt (log1p x))) * * * * [misc]progress: [ 39 / 72 ] 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))) * [exit]simplify: Simplified to (/ (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))) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) * * * * [misc]progress: [ 40 / 72 ] 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))) * [exit]simplify: Simplified to (sqrt (log (- 1 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)) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (log1p x)) * * * * [misc]progress: [ 41 / 72 ] 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)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (log1p 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))) * [exit]simplify: Simplified to (/ (log (- 1 x)) (cbrt (log1p x))) * * * * [misc]progress: [ 42 / 72 ] 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))) * [exit]simplify: Simplified to (/ 1 (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))) * [exit]simplify: Simplified to (/ (log (- 1 x)) (sqrt (log1p x))) * * * * [misc]progress: [ 43 / 72 ] 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 * [exit]simplify: Simplified to 1 * [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)) * [exit]simplify: Simplified to (/ (log (- 1 x)) (log1p x)) * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (log1p x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (log1p x)) * [exit]simplify: Simplified to (/ 1 (log1p x)) * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (log (- 1 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 (/ (log1p x) (log (- 1 x))) * [exit]simplify: Simplified to (/ (log1p x) (log (- 1 x))) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- 1 x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (log (- 1 x)) (cbrt (log1p x))) (cbrt (log1p x))) * [exit]simplify: Simplified to (/ (/ (log (- 1 x)) (cbrt (log1p x))) (cbrt (log1p x))) * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * [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))) * [exit]simplify: Simplified to (/ (log (- 1 x)) (sqrt (log1p x))) * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (- 1 x)) * [exit]simplify: Simplified to (log (- 1 x)) * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (log (- 1 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 (/ (log1p x) (log (- 1 x))) * [exit]simplify: Simplified to (/ (log1p x) (log (- 1 x))) * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (cbrt (log (- 1 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 (/ (log1p x) (cbrt (log (- 1 x)))) * [exit]simplify: Simplified to (/ (log1p x) (cbrt (log (- 1 x)))) * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (sqrt (log (- 1 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 (/ (log1p x) (sqrt (log (- 1 x)))) * [exit]simplify: Simplified to (/ (log1p x) (sqrt (log (- 1 x)))) * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (log (- 1 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 (/ (log1p x) (log (- 1 x))) * [exit]simplify: Simplified to (/ (log1p x) (log (- 1 x))) * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [exit]simplify: Simplified to (+ x 1) * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (log1p x)) * [exit]simplify: Simplified to (log1p (log1p x)) * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (log1p x)) * [exit]simplify: Simplified to (log (log1p x)) * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (log1p x)) * [exit]simplify: Simplified to (exp (log1p x)) * * * * [misc]progress: [ 60 / 72 ] 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))) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [enter]simplify: Simplifying (cbrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p x)) * [exit]simplify: Simplified to (cbrt (log1p x)) * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p x) (log1p x)) (log1p x)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (log1p x) 3) * [exit]simplify: Simplified to (pow (log1p x) 3) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (pow x 2)) (+ (* 1/3 (pow x 3)) x))) (log1p x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (- (/ (fma (* x x) (fma 1/3 x 1/2) x) (log1p x))) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (log -1) (+ (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) (log1p x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (/ (- (+ (log -1) (log x)) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))) (log1p x)) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (log (/ -1 x)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))) (log1p x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (/ (- (- (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) (log1p x)) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (fma (fma 1/2 x 1) (- x) (- 1)) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 2 (/ 1 (* x (log (/ 1 x))))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (- (+ (+ 1 (/ (/ 2 (* x x)) (* (log x) (log x)))) (fma (/ (/ 1/2 (log x)) (log x)) (/ (log -1) (* x x)) (/ 2 (* (log x) (- x))))) (+ (/ (/ (log -1) (* x x)) (* (- (log x)) (* (log x) (log x)))) (+ (/ (log -1) (- (log x))) (/ (/ (log -1) x) (* (log x) (log x)))))) * * * * [misc]progress: [ 69 / 72 ] 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)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ (/ 1 x) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* (+ 0 (log x)) x))) (+ (fma (/ (/ (/ 1 x) x) (+ 0 (log x))) 1/2 (/ (/ 1 x) (+ 0 (log x)))) (/ (log (/ -1 x)) (+ 0 (log x))))) (fma (/ (/ (log (/ -1 x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x)))) 1/2 (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3)))) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- 1 x)) (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (fma (* x x) (- (* x 1/3) 1/2) x)) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- 1 x)) (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (- (+ (log x) (/ 1 x)) (/ (/ 1/2 x) x))) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- 1 x)) (- (+ (log -1) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (- (+ (/ 1 x) (log x)) (/ (/ 1/2 x) x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"picked-error":0.015625,"picked":"(λ (x) (/ (log1p (- x)) (log1p 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* * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] 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 (- (+ (* 1/2 (pow x 2)) (+ 1 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]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 (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -1) (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -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 (* x (log (/ 1 x))))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))) * [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)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3))))) (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)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (log1p x) in (x) around 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]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 0 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 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]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 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)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (- x))) in (x) around 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]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)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 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 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) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (expm1 (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 2 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (log1p (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 3 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 45 ] 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))) * [exit]simplify: Simplified to (- (log (log1p (- x))) (log (log1p x))) * * * * [misc]progress: [ 5 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (log (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (log (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 6 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (exp (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (exp (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 7 / 45 ] 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) * [exit]simplify: Simplified to (pow (/ (log1p (- x)) (log1p x)) 3) * * * * [misc]progress: [ 8 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) * [exit]simplify: Simplified to (* (cbrt (/ (log1p (- x)) (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))) * [exit]simplify: Simplified to (cbrt (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 9 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (pow (/ (log1p (- x)) (log1p x)) 3) * [exit]simplify: Simplified to (pow (/ (log1p (- x)) (log1p x)) 3) * * * * [misc]progress: [ 10 / 45 ] 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))) * [exit]simplify: Simplified to (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))) * [exit]simplify: Simplified to (sqrt (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 11 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (- x))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (- (log1p (- x))) * [exit]simplify: Simplified to (- (log1p (- x))) * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * * * * [misc]progress: [ 12 / 45 ] 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)))) * [exit]simplify: Simplified to (* (/ (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))) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (cbrt (log1p x))) * * * * [misc]progress: [ 13 / 45 ] 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)))) * [exit]simplify: Simplified to (* (/ (cbrt (log1p (- x))) (sqrt (log1p x))) (cbrt (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))) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (sqrt (log1p x))) * * * * [misc]progress: [ 14 / 45 ] 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 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * [exit]simplify: Simplified to (* (cbrt (log1p (- x))) (cbrt (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)) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (log1p x)) * * * * [misc]progress: [ 15 / 45 ] 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)))) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (* (cbrt (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))) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (cbrt (log1p x))) * * * * [misc]progress: [ 16 / 45 ] 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))) * [exit]simplify: Simplified to (/ (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))) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (sqrt (log1p x))) * * * * [misc]progress: [ 17 / 45 ] 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))) * [exit]simplify: Simplified to (sqrt (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)) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (log1p x)) * * * * [misc]progress: [ 18 / 45 ] 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)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (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))) * [exit]simplify: Simplified to (/ (log1p (- x)) (cbrt (log1p x))) * * * * [misc]progress: [ 19 / 45 ] 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))) * [exit]simplify: Simplified to (/ 1 (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))) * [exit]simplify: Simplified to (/ (log1p (- x)) (sqrt (log1p x))) * * * * [misc]progress: [ 20 / 45 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (log1p (- x)) (log1p x)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (log1p x)) * [exit]simplify: Simplified to (/ (log1p (- x)) (log1p x)) * * * * [misc]progress: [ 21 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (log1p x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (log1p x)) * [exit]simplify: Simplified to (/ 1 (log1p x)) * * * * [misc]progress: [ 23 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (log1p (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * * * * [misc]progress: [ 24 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p (- x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (/ (log1p (- x)) (cbrt (log1p x))) (cbrt (log1p x))) * [exit]simplify: Simplified to (/ (/ (log1p (- x)) (cbrt (log1p x))) (cbrt (log1p x))) * * * * [misc]progress: [ 25 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p (- x)) (sqrt (log1p x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (sqrt (log1p x))) * [exit]simplify: Simplified to (/ (log1p (- x)) (sqrt (log1p x))) * * * * [misc]progress: [ 26 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p (- x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log1p (- x)) * [exit]simplify: Simplified to (log1p (- x)) * * * * [misc]progress: [ 27 / 45 ] 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)))) * [exit]simplify: Simplified to (/ (log1p x) (cbrt (log1p (- x)))) * * * * [misc]progress: [ 28 / 45 ] 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)))) * [exit]simplify: Simplified to (/ (log1p x) (sqrt (log1p (- x)))) * * * * [misc]progress: [ 29 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (log1p (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * * * * [misc]progress: [ 30 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [exit]simplify: Simplified to (+ x 1) * * * * [misc]progress: [ 31 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 32 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (log1p x)) * [exit]simplify: Simplified to (log1p (log1p x)) * * * * [misc]progress: [ 33 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (log1p x)) * [exit]simplify: Simplified to (log (log1p x)) * * * * [misc]progress: [ 35 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (log1p x)) * [exit]simplify: Simplified to (exp (log1p x)) * * * * [misc]progress: [ 36 / 45 ] 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))) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [enter]simplify: Simplifying (cbrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p x)) * [exit]simplify: Simplified to (cbrt (log1p x)) * * * * [misc]progress: [ 37 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p x) (log1p x)) (log1p x)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (log1p x) 3) * [exit]simplify: Simplified to (pow (log1p x) 3) * * * * [misc]progress: [ 38 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * * * * [misc]progress: [ 39 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (fma (fma 1/2 x 1) (- x) (- 1)) * * * * [misc]progress: [ 41 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 2 (/ 1 (* x (log (/ 1 x))))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (- (+ (+ 1 (/ (/ 2 (* x x)) (* (log x) (log x)))) (fma (/ (/ 1/2 (log x)) (log x)) (/ (log -1) (* x x)) (/ 2 (* (log x) (- x))))) (+ (/ (/ (log -1) (* x x)) (* (- (log x)) (* (log x) (log x)))) (+ (/ (log -1) (- (log x))) (/ (/ (log -1) x) (* (log x) (log x)))))) * * * * [misc]progress: [ 42 / 45 ] 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)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ (/ 1 x) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* (+ 0 (log x)) x))) (+ (fma (/ (/ (/ 1 x) x) (+ 0 (log x))) 1/2 (/ (/ 1 x) (+ 0 (log x)))) (/ (log (/ -1 x)) (+ 0 (log x))))) (fma (/ (/ (log (/ -1 x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x)))) 1/2 (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3)))) * * * * [misc]progress: [ 43 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p (- x)) (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (fma (- (* 1/3 x) 1/2) (* x x) x)) * * * * [misc]progress: [ 44 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p (- x)) (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (- (+ (log x) (/ 1 x)) (/ (/ 1/2 x) x))) * * * * [misc]progress: [ 45 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p (- x)) (- (+ (log -1) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (- (+ (log x) (/ 1 x)) (/ 1/2 (* x x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"picked-error":0.015625,"picked":"(λ (x) (log1p (expm1 (/ (log1p (- x)) (log1p 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* * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [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 (- (+ (* 1/2 (pow x 2)) (+ 1 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]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 (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -1) (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -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 (* x (log (/ 1 x))))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))) * [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)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) into (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3))))) (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)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (/ (log1p (- x)) (log1p x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (log1p (- x)) (log1p x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (log1p (- x)) (log1p x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (log1p (- x)) (log1p 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 (expm1 (/ (log1p (- x)) (log1p x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- x)) (log1p x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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]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 (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp -1) -1) into (- (exp -1) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) * [misc]backup-simplify: Simplify (log (exp -1)) into -1 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (log1p (- x)) (log1p x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (log1p (- x)) (log1p x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (log1p (- x)) (log1p 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 (expm1 (/ (log1p (- x)) (log1p x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- x)) (log1p x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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]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 (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp -1) -1) into (- (exp -1) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) * [misc]backup-simplify: Simplify (log (exp -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 (* (exp -1) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp -1)) 0) into (- (exp -1)) * [misc]backup-simplify: Simplify (+ 0 (- (exp -1))) into (- (exp -1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (exp -1))) 1)) (pow (exp -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 (/ (+ (* 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 (* (exp -1) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (exp -1))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) 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 (- (+ (* 1/2 (pow x 2)) (+ 1 x))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 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 (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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 (/ 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 (exp (* -1 (/ (- (log -1) (log x)) (log x)))) into (exp (* -1 (/ (- (log -1) (log x)) (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) -1) into (- (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 1)) into (exp (* -1 (/ (- (log -1) (log x)) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -1 (/ (- (log -1) (log x)) (log x))))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 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 (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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 (/ 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 (exp (* -1 (/ (- (log -1) (log x)) (log x)))) into (exp (* -1 (/ (- (log -1) (log x)) (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) -1) into (- (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 1)) into (exp (* -1 (/ (- (log -1) (log x)) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -1 (/ (- (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 (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (+ (* (/ (pow (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 1) 1)))) into (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2)))) 0) into (- (* 2 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log x))) (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log x))) (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2)))) into (- (* 2 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log x))) (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log x))) (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2)))) 1)) (pow (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 1)))) 1) 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 (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -1) (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (+ (* (/ (pow (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 2) 2)) (* (/ (pow (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -1) (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (- (+ (* 1/2 (/ (pow (log -1) 2) (pow (log x) 4))) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 4 (/ 1 (pow (log x) 2))))) (* 3 (/ (log -1) (pow (log x) 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (- (+ (* 1/2 (/ (pow (log -1) 2) (pow (log x) 4))) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 4 (/ 1 (pow (log x) 2))))) (* 3 (/ (log -1) (pow (log x) 3))))) 0) into (- (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log -1) 2)) (pow (log x) 4))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log x) 2))) (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))))) (* 3 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 3)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log -1) 2)) (pow (log x) 4))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log x) 2))) (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))))) (* 3 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 3))))) into (- (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log -1) 2)) (pow (log x) 4))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log x) 2))) (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))))) (* 3 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log x))) (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2)))) 2)) (pow (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log -1) 2)) (pow (log x) 4))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log x) 2))) (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))))) (* 3 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 3))))) 1)) (pow (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 1)))) 2) into (* 1/2 (- (+ (/ (log -1) (pow (log x) 2)) (* 4 (/ 1 (pow (log x) 2)))) (* 2 (/ (log -1) (pow (log x) 3))))) * [misc]backup-simplify: Simplify (* 1/2 (- (+ (/ (log -1) (pow (log x) 2)) (* 4 (/ 1 (pow (log x) 2)))) (* 2 (/ (log -1) (pow (log x) 3))))) into (* 1/2 (- (+ (/ (log -1) (pow (log x) 2)) (* 4 (/ 1 (pow (log x) 2)))) (* 2 (/ (log -1) (pow (log x) 3))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (+ (/ (log -1) (pow (log (/ 1 x)) 2)) (* 4 (/ 1 (pow (log (/ 1 x)) 2)))) (* 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 (* x (log (/ 1 x))))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 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 (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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 (/ 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 (exp (* -1 (/ (log x) (- (log -1) (log x))))) into (exp (* -1 (/ (log x) (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (log x) (- (log -1) (log x))))) -1) into (- (exp (* -1 (/ (log x) (- (log -1) (log x))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -1 (/ (log x) (- (log -1) (log x))))) 1)) into (exp (* -1 (/ (log x) (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -1 (/ (log x) (- (log -1) (log x)))))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 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 (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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 (/ 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 (exp (* -1 (/ (log x) (- (log -1) (log x))))) into (exp (* -1 (/ (log x) (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (log x) (- (log -1) (log x))))) -1) into (- (exp (* -1 (/ (log x) (- (log -1) (log x))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -1 (/ (log x) (- (log -1) (log x))))) 1)) into (exp (* -1 (/ (log x) (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (log (exp (* -1 (/ (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 (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (+ (* (/ (pow (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 1) 1)))) into (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2)))) 0) into (- (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x))) (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x))) (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2)))) into (- (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x))) (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x))) (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2)))) 1)) (pow (exp (* -1 (/ (log x) (- (log -1) (log x))))) 1)))) 1) 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)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (+ (* (/ (pow (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 2) 2)) (* (/ (pow (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) 1) 1)))) into (* (- (+ (* 1/2 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4))) (* 3/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (* 2 (/ (log x) (pow (- (log -1) (log x)) 3)))))) (exp (* -1 (/ (log x) (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4))) (* 3/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (* 2 (/ (log x) (pow (- (log -1) (log x)) 3)))))) (exp (* -1 (/ (log x) (- (log -1) (log x)))))) 0) into (- (+ (* 3/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (- (log -1) (log x)) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)))) (+ (* 1/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x)))) (+ (* 2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 3))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (- (log -1) (log x)) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)))) (+ (* 1/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x)))) (+ (* 2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 3))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2))))))) into (- (+ (* 3/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (- (log -1) (log x)) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)))) (+ (* 1/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x)))) (+ (* 2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 3))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x))) (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2)))) 2)) (pow (exp (* -1 (/ (log x) (- (log -1) (log x))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 3/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (- (log -1) (log x)) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)))) (+ (* 1/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x)))) (+ (* 2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 3))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2))))))) 1)) (pow (exp (* -1 (/ (log x) (- (log -1) (log x))))) 1)))) 2) into (* 1/2 (- (* 2 (/ 1 (pow (- (log -1) (log x)) 2))) (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (+ (/ 1 (- (log -1) (log x))) (* 2 (/ (log x) (pow (- (log -1) (log x)) 3))))))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 2 (/ 1 (pow (- (log -1) (log x)) 2))) (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (+ (/ 1 (- (log -1) (log x))) (* 2 (/ (log x) (pow (- (log -1) (log x)) 3))))))) into (* 1/2 (- (* 2 (/ 1 (pow (- (log -1) (log x)) 2))) (+ (/ 1 (- (log -1) (log x))) (+ (/ (log x) (pow (- (log -1) (log x)) 2)) (* 2 (/ (log x) (pow (- (log -1) (log x)) 3))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 2 (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2))) (+ (/ 1 (- (log -1) (log (/ 1 (- x))))) (+ (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2)) (* 2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 3))))))) (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)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (expm1 (/ (log1p (- x)) (log1p x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ (log1p (- x)) (log1p x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- x)) (log1p x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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]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 (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (log1p (- x)) (log1p x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- x)) (log1p x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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]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 (exp -1) into (exp -1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp -1) -1) into (- (exp -1) 1) * [misc]backup-simplify: Simplify (- (exp -1) 1) into (- (exp -1) 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 (* (exp -1) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp -1)) 0) into (- (exp -1)) * [misc]backup-simplify: Simplify (- (exp -1)) into (- (exp -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 (* (exp -1) (+ (* (/ (pow -1 2) 2)) (* (/ (pow -1/2 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (- (/ -1/4 1) (+ (* -1 (/ -1/4 1)) (* -1 (/ 1/3 1)) (* -1/2 (/ -1/2 1)))) into -5/12 * [misc]backup-simplify: Simplify (* (exp -1) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow -5/12 1) 1)))) into (* -1/12 (exp -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/12 (exp -1)) 0) into (- (* 1/12 (exp -1))) * [misc]backup-simplify: Simplify (- (* 1/12 (exp -1))) into (- (* 1/12 (exp -1))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/12 (exp -1))) (pow x 3)) (+ (* (- (exp -1)) x) (- (exp -1) 1))) into (- (exp -1) (+ (* (exp -1) x) (+ 1 (* 1/12 (* (exp -1) (pow x 3)))))) * [misc]approximate: Taking taylor expansion of (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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 (/ 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 (exp (* -1 (/ (- (log -1) (log x)) (log x)))) into (exp (* -1 (/ (- (log -1) (log x)) (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- (/ 1 x))) (log1p (/ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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 (/ 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 (exp (* -1 (/ (- (log -1) (log x)) (log x)))) into (exp (* -1 (/ (- (log -1) (log x)) (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) -1) into (- (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 1) * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 1) into (- (exp (* -1 (/ (- (log -1) (log x)) (log x)))) 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 (/ 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 (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (+ (* (/ (pow (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 1) 1)))) into (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2)))) 0) into (- (* 2 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log x))) (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))) * [misc]backup-simplify: Simplify (- (* 2 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log x))) (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))) into (- (* 2 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log x))) (/ (* (exp (* -1 (/ (- (log -1) (log x)) (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 (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -1) (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (+ (* (/ (pow (- (* 2 (/ 1 (log x))) (/ (log -1) (pow (log x) 2))) 2) 2)) (* (/ (pow (- (+ (* 2 (/ 1 (pow (log x) 2))) (* 1/2 (/ (log -1) (pow (log x) 2)))) (/ (log -1) (pow (log x) 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (- (+ (* 1/2 (/ (pow (log -1) 2) (pow (log x) 4))) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 4 (/ 1 (pow (log x) 2))))) (* 3 (/ (log -1) (pow (log x) 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (- (+ (* 1/2 (/ (pow (log -1) 2) (pow (log x) 4))) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (* 4 (/ 1 (pow (log x) 2))))) (* 3 (/ (log -1) (pow (log x) 3))))) 0) into (- (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log -1) 2)) (pow (log x) 4))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log x) 2))) (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))))) (* 3 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log -1) 2)) (pow (log x) 4))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log x) 2))) (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))))) (* 3 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 3)))) into (- (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log -1) 2)) (pow (log x) 4))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (pow (log x) 2))) (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 2))))) (* 3 (/ (* (exp (* -1 (/ (- (log -1) (log x)) (log x)))) (log -1)) (pow (log x) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (pow (log -1) 2)) (pow (log (/ 1 x)) 4))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (* (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (log -1)) (pow (log (/ 1 x)) 2))))) (* 3 (/ (* (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (log -1)) (pow (log (/ 1 x)) 3)))) (pow (/ 1 x) 2)) (+ (* (- (* 2 (/ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (log (/ 1 x)))) (/ (* (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (log -1)) (pow (log (/ 1 x)) 2))) (/ 1 x)) (- (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) 1))) into (- (+ (* 1/2 (/ (* (pow (log -1) 2) (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) (* (pow x 2) (pow (log (/ 1 x)) 4)))) (+ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 2 (/ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (* x (log (/ 1 x))))) (* 1/2 (/ (* (log -1) (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) (* (pow x 2) (pow (log (/ 1 x)) 2)))))))) (+ (* 3 (/ (* (log -1) (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) (* (pow x 2) (pow (log (/ 1 x)) 3)))) (+ 1 (/ (* (log -1) (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) (* (pow (log (/ 1 x)) 2) x))))) * [misc]approximate: Taking taylor expansion of (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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 (/ 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 (exp (* -1 (/ (log x) (- (log -1) (log x))))) into (exp (* -1 (/ (log x) (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (- (exp (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (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 (/ 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 (exp (* -1 (/ (log x) (- (log -1) (log x))))) into (exp (* -1 (/ (log x) (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (log x) (- (log -1) (log x))))) -1) into (- (exp (* -1 (/ (log x) (- (log -1) (log x))))) 1) * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (log x) (- (log -1) (log x))))) 1) into (- (exp (* -1 (/ (log x) (- (log -1) (log x))))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 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 (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (+ (* (/ (pow (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 1) 1)))) into (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2)))) 0) into (- (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x))) (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2))) * [misc]backup-simplify: Simplify (- (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x))) (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2))) into (- (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x))) (/ (* (exp (* -1 (/ (log x) (- (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)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (+ (* (/ (pow (- (/ 1 (- (log -1) (log x))) (/ (log x) (pow (- (log -1) (log x)) 2))) 2) 2)) (* (/ (pow (- (/ 1 (pow (- (log -1) (log x)) 2)) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (/ (log x) (pow (- (log -1) (log x)) 3))))) 1) 1)))) into (* (- (+ (* 1/2 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4))) (* 3/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (* 2 (/ (log x) (pow (- (log -1) (log x)) 3)))))) (exp (* -1 (/ (log x) (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ (pow (log x) 2) (pow (- (log -1) (log x)) 4))) (* 3/2 (/ 1 (pow (- (log -1) (log x)) 2)))) (+ (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (* 2 (/ (log x) (pow (- (log -1) (log x)) 3)))))) (exp (* -1 (/ (log x) (- (log -1) (log x)))))) 0) into (- (+ (* 3/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (- (log -1) (log x)) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)))) (+ (* 1/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x)))) (+ (* 2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 3))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (- (+ (* 3/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (- (log -1) (log x)) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)))) (+ (* 1/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x)))) (+ (* 2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 3))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2)))))) into (- (+ (* 3/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (- (log -1) (log x)) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (pow (log x) 2)) (pow (- (log -1) (log x)) 4)))) (+ (* 1/2 (/ (exp (* -1 (/ (log x) (- (log -1) (log x))))) (- (log -1) (log x)))) (+ (* 2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 3))) (* 1/2 (/ (* (exp (* -1 (/ (log x) (- (log -1) (log x))))) (log x)) (pow (- (log -1) (log x)) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 3/2 (/ (exp (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x))))))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x))))))) (pow (log (/ 1 (- x))) 2)) (pow (- (log -1) (log (/ 1 (- x)))) 4)))) (+ (* 1/2 (/ (exp (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x))))))) (- (log -1) (log (/ 1 (- x)))))) (+ (* 2 (/ (* (exp (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x))))))) (log (/ 1 (- x)))) (pow (- (log -1) (log (/ 1 (- x)))) 3))) (* 1/2 (/ (* (exp (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x))))))) (log (/ 1 (- x)))) (pow (- (log -1) (log (/ 1 (- x)))) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (/ (exp (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x))))))) (- (log -1) (log (/ 1 (- x))))) (/ (* (exp (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x))))))) (log (/ 1 (- x)))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (/ 1 (- x))) (- (exp (* -1 (/ (log (/ 1 (- x))) (- (log -1) (log (/ 1 (- x))))))) 1))) into (- (+ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (+ (* 3/2 (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (* (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (log (/ -1 x))) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (pow (log (/ -1 x)) 2)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4))))))) (+ (* 2 (/ (* (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (log (/ -1 x))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (* 1/2 (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* x (- (log -1) (log (/ -1 x))))) (+ 1 (* 1/2 (/ (* (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (log (/ -1 x))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (log1p x) in (x) around 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]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 0 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 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]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 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)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (- x))) in (x) around 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]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)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 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 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) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (expm1 (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (log1p (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 73 ] 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))) * [exit]simplify: Simplified to (- (log (log1p (- x))) (log (log1p x))) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (log (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (log (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (exp (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (exp (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 7 / 73 ] 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) * [exit]simplify: Simplified to (pow (/ (log1p (- x)) (log1p x)) 3) * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) * [exit]simplify: Simplified to (* (cbrt (/ (log1p (- x)) (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))) * [exit]simplify: Simplified to (cbrt (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (log1p (- x)) (log1p x)) (/ (log1p (- x)) (log1p x))) (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (pow (/ (log1p (- x)) (log1p x)) 3) * [exit]simplify: Simplified to (pow (/ (log1p (- x)) (log1p x)) 3) * * * * [misc]progress: [ 10 / 73 ] 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))) * [exit]simplify: Simplified to (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))) * [exit]simplify: Simplified to (sqrt (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (- x))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (- (log1p (- x))) * [exit]simplify: Simplified to (- (log1p (- x))) * [enter]simplify: Simplifying (- (log1p x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log1p x)) * [exit]simplify: Simplified to (- (log1p x)) * * * * [misc]progress: [ 12 / 73 ] 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)))) * [exit]simplify: Simplified to (* (/ (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))) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (cbrt (log1p x))) * * * * [misc]progress: [ 13 / 73 ] 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)))) * [exit]simplify: Simplified to (* (/ (cbrt (log1p (- x))) (sqrt (log1p x))) (cbrt (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))) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (sqrt (log1p x))) * * * * [misc]progress: [ 14 / 73 ] 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 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * [exit]simplify: Simplified to (* (cbrt (log1p (- x))) (cbrt (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)) * [exit]simplify: Simplified to (/ (cbrt (log1p (- x))) (log1p x)) * * * * [misc]progress: [ 15 / 73 ] 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)))) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (* (cbrt (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))) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (cbrt (log1p x))) * * * * [misc]progress: [ 16 / 73 ] 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))) * [exit]simplify: Simplified to (/ (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))) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (sqrt (log1p x))) * * * * [misc]progress: [ 17 / 73 ] 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))) * [exit]simplify: Simplified to (sqrt (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)) * [exit]simplify: Simplified to (/ (sqrt (log1p (- x))) (log1p x)) * * * * [misc]progress: [ 18 / 73 ] 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)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (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))) * [exit]simplify: Simplified to (/ (log1p (- x)) (cbrt (log1p x))) * * * * [misc]progress: [ 19 / 73 ] 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))) * [exit]simplify: Simplified to (/ 1 (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))) * [exit]simplify: Simplified to (/ (log1p (- x)) (sqrt (log1p x))) * * * * [misc]progress: [ 20 / 73 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (log1p (- x)) (log1p x)) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (log1p x)) * [exit]simplify: Simplified to (/ (log1p (- x)) (log1p x)) * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (log1p x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (log1p x)) * [exit]simplify: Simplified to (/ 1 (log1p x)) * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (log1p (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p (- x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (/ (log1p (- x)) (cbrt (log1p x))) (cbrt (log1p x))) * [exit]simplify: Simplified to (/ (/ (log1p (- x)) (cbrt (log1p x))) (cbrt (log1p x))) * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p (- x)) (sqrt (log1p x))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (sqrt (log1p x))) * [exit]simplify: Simplified to (/ (log1p (- x)) (sqrt (log1p x))) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p (- x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log1p (- x)) * [exit]simplify: Simplified to (log1p (- x)) * * * * [misc]progress: [ 27 / 73 ] 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)))) * [exit]simplify: Simplified to (/ (log1p x) (cbrt (log1p (- x)))) * * * * [misc]progress: [ 28 / 73 ] 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)))) * [exit]simplify: Simplified to (/ (log1p x) (sqrt (log1p (- x)))) * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) (log1p (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * [exit]simplify: Simplified to (/ (log1p x) (log1p (- x))) * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (expm1 (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (expm1 (/ (log1p (- x)) (log1p x))) 1) * [exit]simplify: Simplified to (+ (expm1 (/ (log1p (- x)) (log1p x))) 1) * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (expm1 (/ (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (expm1 (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (expm1 (/ (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (log1p (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (log1p (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (expm1 (/ (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (log (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (log (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (expm1 (/ (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (exp (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (exp (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (expm1 (/ (log1p (- x)) (log1p x))))) (cbrt (log1p (expm1 (/ (log1p (- x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) * [exit]simplify: Simplified to (* (cbrt (/ (log1p (- x)) (log1p x))) (cbrt (/ (log1p (- x)) (log1p x)))) * [enter]simplify: Simplifying (cbrt (log1p (expm1 (/ (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (cbrt (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (expm1 (/ (log1p (- x)) (log1p x)))) (log1p (expm1 (/ (log1p (- x)) (log1p x))))) (log1p (expm1 (/ (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (pow (/ (log1p (- x)) (log1p x)) 3) * [exit]simplify: Simplified to (pow (/ (log1p (- x)) (log1p x)) 3) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (expm1 (/ (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (sqrt (/ (log1p (- x)) (log1p x))) * [enter]simplify: Simplifying (sqrt (log1p (expm1 (/ (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (sqrt (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log1p (- x)) (log1p x))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (exp (/ (log1p (- x)) (log1p x))) * [exit]simplify: Simplified to (exp (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (/ (log1p (- x)) (log1p x)))) * [exit]simplify: Simplified to (expm1 (expm1 (/ (log1p (- x)) (log1p x)))) * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (log1p x)) * [exit]simplify: Simplified to (/ (log1p (- x)) (log1p x)) * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (log (expm1 (/ (log1p (- x)) (log1p x)))) * [exit]simplify: Simplified to (log (expm1 (/ (log1p (- x)) (log1p x)))) * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (exp (expm1 (/ (log1p (- x)) (log1p x)))) * [exit]simplify: Simplified to (exp (expm1 (/ (log1p (- x)) (log1p x)))) * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (/ (log1p (- x)) (log1p x)))) (cbrt (expm1 (/ (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (/ (log1p (- x)) (log1p x)))) (cbrt (expm1 (/ (log1p (- x)) (log1p x))))) * [exit]simplify: Simplified to (* (cbrt (expm1 (/ (log1p (- x)) (log1p x)))) (cbrt (expm1 (/ (log1p (- x)) (log1p x))))) * [enter]simplify: Simplifying (cbrt (expm1 (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (/ (log1p (- x)) (log1p x)))) * [exit]simplify: Simplified to (cbrt (expm1 (/ (log1p (- x)) (log1p x)))) * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (/ (log1p (- x)) (log1p x))) (expm1 (/ (log1p (- x)) (log1p x)))) (expm1 (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (pow (expm1 (/ (log1p (- x)) (log1p x))) 3) * [exit]simplify: Simplified to (pow (expm1 (/ (log1p (- x)) (log1p x))) 3) * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (/ (log1p (- x)) (log1p x)))) * [exit]simplify: Simplified to (sqrt (expm1 (/ (log1p (- x)) (log1p x)))) * [enter]simplify: Simplifying (sqrt (expm1 (/ (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (/ (log1p (- x)) (log1p x)))) * [exit]simplify: Simplified to (sqrt (expm1 (/ (log1p (- x)) (log1p x)))) * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [exit]simplify: Simplified to (+ x 1) * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (log1p x)) * [exit]simplify: Simplified to (log1p (log1p x)) * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (log1p x)) * [exit]simplify: Simplified to (log (log1p x)) * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (log1p x)) * [exit]simplify: Simplified to (exp (log1p x)) * * * * [misc]progress: [ 58 / 73 ] 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))) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [enter]simplify: Simplifying (cbrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p x)) * [exit]simplify: Simplified to (cbrt (log1p x)) * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p x) (log1p x)) (log1p x)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (log1p x) 3) * [exit]simplify: Simplified to (pow (log1p x) 3) * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (- (+ (* 1/2 (pow x 2)) (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (fma (- x) (fma 1/2 x 1) (- 1)) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (- (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 2 (/ 1 (* x (log (/ 1 x))))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (- (+ (+ 1 (/ (/ (/ 2 x) x) (* (log x) (log x)))) (fma (/ 1/2 (* x x)) (/ (/ (log -1) (log x)) (log x)) (/ 2 (* (- x) (log x))))) (+ (/ (/ (log -1) (* x x)) (* (- (log x)) (* (log x) (log x)))) (+ (/ (log -1) (- (log x))) (/ (/ (log -1) x) (* (log x) (log x)))))) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (- (+ (/ (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)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ 1 (* x x)) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* (+ 0 (log x)) x))) (/ (log (/ -1 x)) (+ 0 (log x)))) (+ (+ (+ (/ (/ 1/2 (* x x)) (+ 0 (log x))) (/ (/ 1 x) (+ 0 (log x)))) (* (/ (log (/ -1 x)) (+ 0 (log x))) (/ (/ 1/2 (* x x)) (+ 0 (log x))))) (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3)))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (fma (fma 1/2 x 1) (- x) (- 1)) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 2 (/ 1 (* x (log (/ 1 x))))) (+ 1 (* 2 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2))))))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) (+ (/ (log -1) (log (/ 1 x))) (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (- (+ (+ 1 (/ (/ 2 (* x x)) (* (log x) (log x)))) (fma (/ (/ 1/2 (log x)) (log x)) (/ (log -1) (* x x)) (/ 2 (* (log x) (- x))))) (+ (/ (/ (log -1) (* x x)) (* (- (log x)) (* (log x) (log x)))) (+ (/ (log -1) (- (log x))) (/ (/ (log -1) x) (* (log x) (log x)))))) * * * * [misc]progress: [ 67 / 73 ] 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)))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (/ (/ 1 x) x) (* (+ 0 (log x)) (+ 0 (log x)))) (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* (+ 0 (log x)) x))) (+ (fma (/ (/ (/ 1 x) x) (+ 0 (log x))) 1/2 (/ (/ 1 x) (+ 0 (log x)))) (/ (log (/ -1 x)) (+ 0 (log x))))) (fma (/ (/ (log (/ -1 x)) (* x x)) (* (+ 0 (log x)) (+ 0 (log x)))) 1/2 (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3)))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp -1) (+ (* (exp -1) x) (+ 1 (* 1/12 (* (exp -1) (pow x 3))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (log1p (fma (* (* x x) (- x)) (* 1/12 (exp -1)) (fma (exp -1) (- x) (expm1 -1)))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (+ (* 1/2 (/ (* (pow (log -1) 2) (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) (* (pow x 2) (pow (log (/ 1 x)) 4)))) (+ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (+ (* 4 (/ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 2 (/ (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x))))) (* x (log (/ 1 x))))) (* 1/2 (/ (* (log -1) (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) (* (pow x 2) (pow (log (/ 1 x)) 2)))))))) (+ (* 3 (/ (* (log -1) (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) (* (pow x 2) (pow (log (/ 1 x)) 3)))) (+ 1 (/ (* (log -1) (exp (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) (* (pow (log (/ 1 x)) 2) x)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (log1p (+ (+ (fma (/ (pow (exp -1) (/ (+ (log x) (log -1)) (- (log x)))) (* (* x x) (* (log x) (log x)))) 4 (/ (* (pow (exp -1) (/ (+ (log x) (log -1)) (- (log x)))) 2) (* (- (log x)) x))) (+ (* (* (/ (log -1) (* (* x x) (* (log x) (log x)))) (pow (exp -1) (/ (+ (log x) (log -1)) (- (log x))))) 1/2) (pow (exp -1) (/ (+ (log x) (log -1)) (- (log x)))))) (- (* (* 1/2 (* (/ (log -1) x) (/ (log -1) x))) (/ (pow (exp -1) (/ (+ (log x) (log -1)) (- (log x)))) (pow (- (log x)) 4))) (fma (* (/ (log -1) (* (- (log x)) (* (log x) (log x)))) (/ (pow (exp -1) (/ (+ (log x) (log -1)) (- (log x)))) (* x x))) 3 (fma (/ (log -1) (* (log x) (log x))) (/ (pow (exp -1) (/ (+ (log x) (log -1)) (- (log x)))) x) 1))))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (+ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (+ (* 3/2 (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (* (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (log (/ -1 x))) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (* 1/2 (/ (* (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (pow (log (/ -1 x)) 2)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 4))))))) (+ (* 2 (/ (* (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (log (/ -1 x))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3)))) (+ (* 1/2 (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (+ (/ (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (* x (- (log -1) (log (/ -1 x))))) (+ 1 (* 1/2 (/ (* (exp (* -1 (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))))) (log (/ -1 x))) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))))))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (142 enodes) * [exit]simplify: Simplified to (log1p (- (+ (exp (/ (* (log (/ -1 x)) -1) (+ (- (log -1) (log -1)) (log x)))) (fma 3/2 (/ (exp (/ (* (log (/ -1 x)) -1) (+ (- (log -1) (log -1)) (log x)))) (* (* x x) (* (+ (- (log -1) (log -1)) (log x)) (+ (- (log -1) (log -1)) (log x))))) (fma 1/2 (/ (exp (/ (* (log (/ -1 x)) -1) (+ (- (log -1) (log -1)) (log x)))) (/ (pow (+ (- (log -1) (log -1)) (log x)) 4) (/ (* (log (/ -1 x)) (log (/ -1 x))) (* x x)))) (/ (exp (/ (* (log (/ -1 x)) -1) (+ (- (log -1) (log -1)) (log x)))) (/ (* (+ (- (log -1) (log -1)) (log x)) (+ (- (log -1) (log -1)) (log x))) (/ (log (/ -1 x)) x)))))) (+ (+ (* (/ (exp (/ (* (log (/ -1 x)) -1) (+ (- (log -1) (log -1)) (log x)))) (* x x)) (* (/ (/ (log (/ -1 x)) (+ (- (log -1) (log -1)) (log x))) (* (+ (- (log -1) (log -1)) (log x)) (+ (- (log -1) (log -1)) (log x)))) 2)) (fma 1/2 (/ (exp (/ (* (log (/ -1 x)) -1) (+ (- (log -1) (log -1)) (log x)))) (* (* x x) (+ (- (log -1) (log -1)) (log x)))) (/ (exp (/ (* (log (/ -1 x)) -1) (+ (- (log -1) (log -1)) (log x)))) (* (+ (- (log -1) (log -1)) (log x)) x)))) (fma (/ (exp (/ (* (log (/ -1 x)) -1) (+ (- (log -1) (log -1)) (log x)))) (/ (* (+ (- (log -1) (log -1)) (log x)) (+ (- (log -1) (log -1)) (log x))) (/ (log (/ -1 x)) (* x x)))) 1/2 1)))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (/ (log1p (- x)) (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (fma (- (* 1/3 x) 1/2) (* x x) x)) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (/ (log1p (- x)) (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (- (+ (/ 1 x) (log x)) (/ (/ 1/2 x) x))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (/ (log1p (- x)) (- (+ (log -1) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (log1p (- x)) (- (+ (/ 1 x) (log x)) (/ 1/2 (* x x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate "ALT DATA: "{"picked-error":0.5095073520774401,"picked":"(λ (x) (fma (fma 1/2 x 1) (- x) (- 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* * * [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-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ (log (- 1 x)) (log (+ 1 x))) +nan.0)) , with alts (#) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs