* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (log1p x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (- 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* -1 (log 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) (- (log -1) (log (/ 1 x))))) into (- (log -1) (+ (* 1/2 (/ 1 (pow x 2))) (+ (log (/ 1 x)) (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (/ 1 (- x)) (* -1 (log (/ 1 (- x)))))) into (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (log (/ -1 x))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (- 1 x)) (log1p x)) in x * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]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 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ -1 (+ (* -1/2 (pow x 2)) (* -1 x))) into (- (+ (* 1/2 (pow x 2)) (+ x 1))) * [misc]approximate: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (- 1 (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (* -1 (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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (* -1 (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (/ -1 (* -1 (log x))) (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (* -1 (log x))))) into (/ (log -1) (pow (log x) 2)) * [misc]backup-simplify: Simplify (/ (log -1) (pow (log x) 2)) into (/ (log -1) (pow (log x) 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (/ -1/2 (* -1 (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (* -1 (log x)))) (* (/ (log -1) (pow (log x) 2)) (/ 1 (* -1 (log x)))))) into (- (/ 1 (log x)) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (/ (log -1) (pow (log x) 3)))) * [misc]backup-simplify: Simplify (- (/ 1 (log x)) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (/ (log -1) (pow (log x) 3)))) into (- (/ 1 (log x)) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (/ (log -1) (pow (log x) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (log (/ 1 x))) (+ (* 1/2 (/ (log -1) (pow (log (/ 1 x)) 2))) (/ (log -1) (pow (log (/ 1 x)) 3)))) (pow (/ 1 x) 2)) (+ (* (/ (log -1) (pow (log (/ 1 x)) 2)) (/ 1 x)) (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) into (- (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) 1)) (+ (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3))) (+ (/ (log -1) (log (/ 1 x))) (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 2))))))) * [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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* -1 (/ (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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 (- (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ 1 (pow (- (log -1) (log x)) 2)) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ 1 (pow (- (log -1) (log x)) 2)) (/ (log x) (pow (- (log -1) (log x)) 3))))) into (- (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ 1 (pow (- (log -1) (log x)) 2)) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (/ 1 (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 (- (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 59 ] 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 / 59 ] 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 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (- 1 x))) (log (cbrt (- 1 x)))) * [exit]simplify: Simplified to (+ (log (cbrt (- 1 x))) (log (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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 x))) * [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 / 59 ] 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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (log (fma (- x) (* x x) 1)) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log (- 1 (* x x))) * [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 / 59 ] 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 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 59 ] 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 / 59 ] 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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) * [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 / 59 ] 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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * [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 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 59 ] 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 / 59 ] 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 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log (- 1 x))) (log (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (log (log (- 1 x))) (log (log1p x))) * [exit]simplify: Simplified to (- (log (log (- 1 x))) (log (log1p x))) * * * * [misc]progress: [ 23 / 59 ] 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 / 59 ] 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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log (- 1 x)) (log (- 1 x))) (log (- 1 x))) (* (* (log1p x) (log1p x)) (log1p x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (pow (/ (log (- 1 x)) (log1p x)) 3) * [exit]simplify: Simplified to (pow (/ (log (- 1 x)) (log1p x)) 3) * * * * [misc]progress: [ 26 / 59 ] 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 / 59 ] 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 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (136 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 / 59 ] 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 / 59 ] 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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- (pow 1 3) (pow x 3))) (log1p x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (log (fma (- x) (* x x) 1)) (log1p x)) * [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 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (45 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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- (* 1 1) (* x x))) (log1p x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (log (- 1 (* x x))) (log1p x)) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (log1p x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (log1p x))) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log (- 1 x))) (cbrt (log1p x))) (/ (cbrt (log (- 1 x))) (cbrt (log1p x)))) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (sqrt (log1p x))) * [exit]simplify: Simplified to (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) (sqrt (log1p x))) * [enter]simplify: Simplifying (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) * [exit]simplify: Simplified to (/ (cbrt (log (- 1 x))) (sqrt (log1p x))) * * * * [misc]progress: [ 37 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (- 1 x))) (cbrt (log (- 1 x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (- 1 x))) (sqrt (log1p x))) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (log (- 1 x))) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (log1p x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (log1p x))) * [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 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [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 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 / 59 ] 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 (365 enodes) * [exit]simplify: Simplified to (/ (- (fma (* x x) (fma x 1/3 1/2) x)) (log1p x)) * * * * [misc]progress: [ 55 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (log -1) (+ (* 1/2 (/ 1 (pow x 2))) (+ (log (/ 1 x)) (/ 1 x)))) (log1p x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 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: [ 56 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (log (/ -1 x))))) (log1p x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (- (- (log x) (log -1)) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))) (log1p x)) * * * * [misc]progress: [ 57 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) (+ x 1))) * * [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 (92 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x 1/2 1) (- 1)) * * * * [misc]progress: [ 58 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) 1)) (+ (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3))) (+ (/ (log -1) (log (/ 1 x))) (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 2))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ (log -1) x) (* (log x) (log x))) (+ (/ (/ (/ 1 x) x) (- (log x))) 1)) (+ (/ (/ (log -1) (* x x)) (* (* (log x) (log x)) (- (log x)))) (fma (/ (/ (log -1) (* x x)) (* (log x) (log x))) 1/2 (/ (log -1) (- (log x)))))) * * * * [misc]progress: [ 59 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))) * * [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 (- (- (/ (/ (log (/ -1 x)) (/ (* x x) 1/2)) (* (+ 0 (log x)) (+ 0 (log x)))) (+ (+ (/ (/ 1 x) (+ 0 (log x))) (/ (log (/ -1 x)) (+ 0 (log x)))) (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* x (+ 0 (log x)))))) (+ (fma 1/2 (/ (/ (/ 1 x) x) (+ 0 (log x))) (/ (/ (/ 1 x) x) (* (+ 0 (log x)) (+ 0 (log x))))) (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (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 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]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 into 1 * [misc]backup-simplify: Simplify 0 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ -1 (+ (* -1/2 (pow x 2)) (* -1 x))) into (- (+ (* 1/2 (pow x 2)) (+ x 1))) * [misc]approximate: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (* -1 (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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (* -1 (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify (* -1 (/ (- (log -1) (log x)) (log x))) into (* -1 (/ (- (log -1) (log x)) (log x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (/ -1 (* -1 (log x))) (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ 1 (* -1 (log x))))) into (/ (log -1) (pow (log x) 2)) * [misc]backup-simplify: Simplify (/ (log -1) (pow (log x) 2)) into (/ (log -1) (pow (log x) 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (/ -1/2 (* -1 (log x))) (+ (* (* -1 (/ (- (log -1) (log x)) (log x))) (/ -1/2 (* -1 (log x)))) (* (/ (log -1) (pow (log x) 2)) (/ 1 (* -1 (log x)))))) into (- (/ 1 (log x)) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (/ (log -1) (pow (log x) 3)))) * [misc]backup-simplify: Simplify (- (/ 1 (log x)) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (/ (log -1) (pow (log x) 3)))) into (- (/ 1 (log x)) (+ (* 1/2 (/ (log -1) (pow (log x) 2))) (/ (log -1) (pow (log x) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (log (/ 1 x))) (+ (* 1/2 (/ (log -1) (pow (log (/ 1 x)) 2))) (/ (log -1) (pow (log (/ 1 x)) 3)))) (pow (/ 1 x) 2)) (+ (* (/ (log -1) (pow (log (/ 1 x)) 2)) (/ 1 x)) (* -1 (/ (- (log -1) (log (/ 1 x))) (log (/ 1 x)))))) into (- (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) 1)) (+ (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3))) (+ (/ (log -1) (log (/ 1 x))) (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 2))))))) * [misc]approximate: Taking taylor expansion of (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (* -1 (log x)) (- (log -1) (log x))) into (* -1 (/ (log x) (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* -1 (/ (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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 (- (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ 1 (pow (- (log -1) (log x)) 2)) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ 1 (pow (- (log -1) (log x)) 2)) (/ (log x) (pow (- (log -1) (log x)) 3))))) into (- (* 1/2 (/ (log x) (pow (- (log -1) (log x)) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log x)))) (+ (/ 1 (pow (- (log -1) (log x)) 2)) (/ (log x) (pow (- (log -1) (log x)) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ (log (/ 1 (- x))) (pow (- (log -1) (log (/ 1 (- x)))) 2))) (+ (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x)))))) (+ (/ 1 (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 (- (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [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]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 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (- x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- x))) * [misc]taylor: Taking taylor expansion of (+ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 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 (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 (/ 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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (- (/ 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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* -1 (log 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) (- (log -1) (log (/ 1 x))))) into (- (log -1) (+ (* 1/2 (/ 1 (pow x 2))) (+ (log (/ 1 x)) (/ 1 x)))) * [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 (/ 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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 (- 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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (/ 1 (- x)) (* -1 (log (/ 1 (- x)))))) into (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (log (/ -1 x))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] 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 / 46 ] 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 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 (33 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] 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 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (- x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- 1 x) * [exit]simplify: Simplified to (- 1 x) * * * * [misc]progress: [ 31 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (- x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (- x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log1p (log1p (- x))) * [exit]simplify: Simplified to (log1p (log1p (- x))) * * * * [misc]progress: [ 33 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (- x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log (log1p (- x))) * [exit]simplify: Simplified to (log (log1p (- x))) * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (- x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (exp (log1p (- x))) * [exit]simplify: Simplified to (exp (log1p (- x))) * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * [exit]simplify: Simplified to (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * [enter]simplify: Simplifying (cbrt (log1p (- x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (log1p (- x))) * [exit]simplify: Simplified to (cbrt (log1p (- x))) * * * * [misc]progress: [ 38 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (- x)) (log1p (- x))) (log1p (- x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (pow (log1p (- x)) 3) * [exit]simplify: Simplified to (pow (log1p (- x)) 3) * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (- x))) * * [misc]simplify: iters left: 4 (4 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: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (- x))) * [exit]simplify: Simplified to (sqrt (log1p (- x))) * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) (+ x 1))) * * [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 (92 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x 1/2 1) (- 1)) * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (+ (/ (log -1) (* x (pow (log (/ 1 x)) 2))) 1)) (+ (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 3))) (+ (/ (log -1) (log (/ 1 x))) (* 1/2 (/ (log -1) (* (pow x 2) (pow (log (/ 1 x)) 2))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ (log -1) x) (* (log x) (log x))) (+ (/ (/ (/ 1 x) x) (- (log x))) 1)) (+ (/ (/ (log -1) (* x x)) (* (* (log x) (log x)) (- (log x)))) (fma (/ (/ (log -1) (* x x)) (* (log x) (log x))) 1/2 (/ (log -1) (- (log x)))))) * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ (log (/ -1 x)) (* x (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (- (log -1) (log (/ -1 x)))) (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (+ (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (+ (/ (log (/ -1 x)) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 3))) (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))))))))) * * [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 (- (- (/ (/ (log (/ -1 x)) (/ (* x x) 1/2)) (* (+ 0 (log x)) (+ 0 (log x)))) (+ (+ (/ (/ 1 x) (+ 0 (log x))) (/ (log (/ -1 x)) (+ 0 (log x)))) (/ (/ (log (/ -1 x)) (+ 0 (log x))) (* x (+ 0 (log x)))))) (+ (fma 1/2 (/ (/ (/ 1 x) x) (+ 0 (log x))) (/ (/ (/ 1 x) x) (* (+ 0 (log x)) (+ 0 (log x))))) (/ (/ (log (/ -1 x)) (* x x)) (pow (+ 0 (log x)) 3)))) * * * * [misc]progress: [ 44 / 46 ] 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 (365 enodes) * [exit]simplify: Simplified to (/ (- (fma (* x x) (fma x 1/3 1/2) x)) (log1p x)) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (log -1) (+ (* 1/2 (/ 1 (pow x 2))) (+ (log (/ 1 x)) (/ 1 x)))) (log1p x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 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: [ 46 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (log (/ -1 x))))) (log1p x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (- (- (log x) (log -1)) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))) (log1p x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (fma (- x) (fma x 1/2 1) (- 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (- x) (fma x 1/2 1) (- 1)) in x * [misc]taylor: Rewrote expression to (+ (* (- x) (fma x 1/2 1)) (- 1)) * [misc]taylor: Taking taylor expansion of (* (- x) (fma x 1/2 1)) 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]taylor: Taking taylor expansion of (fma x 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* x 1/2) 1) * [misc]taylor: Taking taylor expansion of (* x 1/2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (- x) (fma x 1/2 1) (- 1)) in x * [misc]taylor: Rewrote expression to (+ (* (- x) (fma x 1/2 1)) (- 1)) * [misc]taylor: Taking taylor expansion of (* (- x) (fma x 1/2 1)) 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]taylor: Taking taylor expansion of (fma x 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* x 1/2) 1) * [misc]taylor: Taking taylor expansion of (* x 1/2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ -1 (+ (* -1/2 (pow x 2)) (* -1 x))) into (- (+ (* 1/2 (pow x 2)) (+ x 1))) * [misc]approximate: Taking taylor expansion of (fma (- (/ 1 x)) (fma (/ 1 x) 1/2 1) (- 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (- (/ 1 x)) (fma (/ 1 x) 1/2 1) (- 1)) in x * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 x)) (fma (/ 1 x) 1/2 1)) (- 1)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 x)) (fma (/ 1 x) 1/2 1)) in x * [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 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/2) 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 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (- (/ 1 x)) (fma (/ 1 x) 1/2 1) (- 1)) in x * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 x)) (fma (/ 1 x) 1/2 1)) (- 1)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 x)) (fma (/ 1 x) 1/2 1)) in x * [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 into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/2) 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 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1) in 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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (+ (* -1 (/ 1 (/ 1 x))) (* -1/2 (pow (/ 1 (/ 1 x)) 2)))) into (- (+ (* 1/2 (pow x 2)) (+ x 1))) * [misc]approximate: Taking taylor expansion of (fma (- (/ 1 (- x))) (fma (/ 1 (- x)) 1/2 1) (- 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (- (/ 1 (- x))) (fma (/ 1 (- x)) 1/2 1) (- 1)) in x * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- x))) (fma (/ 1 (- x)) 1/2 1)) (- 1)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- x))) (fma (/ 1 (- x)) 1/2 1)) in x * [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 into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/2) 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 into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (- (/ 1 (- x))) (fma (/ 1 (- x)) 1/2 1) (- 1)) in x * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- x))) (fma (/ 1 (- x)) 1/2 1)) (- 1)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- x))) (fma (/ 1 (- x)) 1/2 1)) in x * [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 into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/2) 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 into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1) in 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 -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (+ (/ 1 (/ 1 (- x))) (* -1/2 (pow (/ 1 (/ 1 (- x))) 2)))) into (- (+ (* 1/2 (pow x 2)) (+ x 1))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (- x) (fma x 1/2 1) (- 1))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (expm1 (fma (fma x 1/2 1) (- x) (- 1))) * [exit]simplify: Simplified to (expm1 (fma (fma x 1/2 1) (- x) (- 1))) * * * * [misc]progress: [ 2 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (- x) (fma x 1/2 1) (- 1))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (log1p (fma (fma x 1/2 1) (- x) (- 1))) * [exit]simplify: Simplified to (log1p (fma (fma x 1/2 1) (- x) (- 1))) * * * * [misc]progress: [ 3 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x) (fma x 1/2 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* x 1/2) (- x) (- x)) * [exit]simplify: Simplified to (fma (* x 1/2) (- x) (- x)) * * * * [misc]progress: [ 4 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (- x) (fma x 1/2 1) (- 1))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (log (fma (fma x 1/2 1) (- x) (- 1))) * [exit]simplify: Simplified to (log (fma (fma x 1/2 1) (- x) (- 1))) * * * * [misc]progress: [ 6 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- x) (fma x 1/2 1) (- 1))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (exp (fma (- x) (fma x 1/2 1) (- 1))) * [exit]simplify: Simplified to (exp (fma (- x) (fma x 1/2 1) (- 1))) * * * * [misc]progress: [ 7 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (- x) (fma x 1/2 1) (- 1))) (cbrt (fma (- x) (fma x 1/2 1) (- 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (fma x 1/2 1) (- x) (- 1))) (cbrt (fma (fma x 1/2 1) (- x) (- 1)))) * [exit]simplify: Simplified to (* (cbrt (fma (fma x 1/2 1) (- x) (- 1))) (cbrt (fma (fma x 1/2 1) (- x) (- 1)))) * [enter]simplify: Simplifying (cbrt (fma (- x) (fma x 1/2 1) (- 1))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (cbrt (fma (fma x 1/2 1) (- x) (- 1))) * [exit]simplify: Simplified to (cbrt (fma (fma x 1/2 1) (- x) (- 1))) * * * * [misc]progress: [ 8 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (- x) (fma x 1/2 1) (- 1)) (fma (- x) (fma x 1/2 1) (- 1))) (fma (- x) (fma x 1/2 1) (- 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (pow (fma (- x) (fma x 1/2 1) (- 1)) 3) * [exit]simplify: Simplified to (pow (fma (- x) (fma x 1/2 1) (- 1)) 3) * * * * [misc]progress: [ 9 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (- x) (fma x 1/2 1) (- 1))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma x 1/2 1) (- x) (- 1))) * [exit]simplify: Simplified to (sqrt (fma (fma x 1/2 1) (- x) (- 1))) * [enter]simplify: Simplifying (sqrt (fma (- x) (fma x 1/2 1) (- 1))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma x 1/2 1) (- x) (- 1))) * [exit]simplify: Simplified to (sqrt (fma (fma x 1/2 1) (- x) (- 1))) * * * * [misc]progress: [ 10 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) (+ x 1))) * * [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 (92 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x 1/2 1) (- 1)) * * * * [misc]progress: [ 12 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) (+ x 1))) * * [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 (92 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x 1/2 1) (- 1)) * * * * [misc]progress: [ 13 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) (+ x 1))) * * [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 (92 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x 1/2 1) (- 1)) * * * [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