* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y 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 (log1p (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 (/ 1 x))))) into (log (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (log (+ 1 (exp x))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in y * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in y * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (exp x) into (exp x) * [misc]backup-simplify: Simplify (+ 1 (exp x)) into (+ 1 (exp x)) * [misc]backup-simplify: Simplify (log (+ 1 (exp x))) into (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-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 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ 1 (exp (/ 1 x)))) 0) into (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (log (+ 1 (exp (/ 1 (/ 1 x))))) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ 1 (exp x))) (* y x)) * [misc]approximate: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ 1 (exp (/ -1 x)))) 0) into (log (+ 1 (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ -1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ -1 x)) in y * [misc]taylor: Taking taylor expansion of (/ -1 x) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1 x) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [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 (+ (log (+ 1 (exp (/ -1 (/ 1 (- x)))))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ 1 (exp x))) (* y x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [exit]simplify: Simplified to (+ 1 (exp x)) * * * * [misc]progress: [ 2 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 3 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * * * * [misc]progress: [ 4 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (log1p (exp x))) * [exit]simplify: Simplified to (log (log1p (exp x))) * * * * [misc]progress: [ 7 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (log1p (exp x))) * [exit]simplify: Simplified to (exp (log1p (exp x))) * * * * [misc]progress: [ 8 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [enter]simplify: Simplifying (cbrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * * * * [misc]progress: [ 9 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp 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 (exp x)) 3) * [exit]simplify: Simplified to (pow (log1p (exp x)) 3) * * * * [misc]progress: [ 10 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * * * * [misc]progress: [ 11 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 13 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 14 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* y x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 15 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* y x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 16 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* y x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 17 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (exp x)) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* x y))) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* x y))) * * * * [misc]progress: [ 18 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p (exp x))) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* x y))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* x y))) * * * * [misc]progress: [ 19 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 21 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 22 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) * [enter]simplify: Simplifying (cbrt (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 23 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (- (log1p (exp x)) (* y x)) 3) * [exit]simplify: Simplified to (pow (- (log1p (exp x)) (* y x)) 3) * * * * [misc]progress: [ 24 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [enter]simplify: Simplifying (sqrt (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 25 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log1p (exp x)) 3) (pow (* y x) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (fma (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)) (* (* (* y x) (* y x)) (- (* y x)))) * [exit]simplify: Simplified to (fma (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)) (* (* (* y x) (* y x)) (- (* y x)))) * [enter]simplify: Simplifying (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (fma (log1p (exp x)) (* x y) (fma (log1p (exp x)) (log1p (exp x)) (* (* x y) (* x y)))) * [exit]simplify: Simplified to (fma (log1p (exp x)) (* x y) (fma (log1p (exp x)) (log1p (exp x)) (* (* x y) (* x y)))) * * * * [misc]progress: [ 26 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* y x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 27 / 34 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (- (* (log1p (exp x)) (log1p (exp x))) (* (* x y) (* x y))) * [exit]simplify: Simplified to (- (* (log1p (exp x)) (log1p (exp x))) (* (* x y) (* x y))) * [enter]simplify: Simplifying (+ (log1p (exp x)) (* y x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * * * * [misc]progress: [ 29 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) (* y x)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) * * * * [misc]progress: [ 30 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 31 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 32 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * * * * [misc]progress: [ 33 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 34 / 34 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * [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 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (log1p (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 (/ 1 x))))) into (log (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (log (+ 1 (exp x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (log1p (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 (/ 1 x))))) into (log (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (log (+ 1 (exp x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (* (sqrt (log 2)) (sqrt (log 2))) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (log 2)) (* 1/4 (sqrt (/ 1 (log 2))))) (* (* 1/4 (sqrt (/ 1 (log 2)))) (sqrt (log 2)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (/ (- 1/8 (pow (* 1/4 (sqrt (/ 1 (log 2)))) 2) (+)) (* 2 (sqrt (log 2)))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (/ (- 1/8 (pow (* 1/4 (sqrt (/ 1 (log 2)))) 2) (+)) (* 2 (sqrt (log 2)))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (log 2)) (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2)))))) (+ (* (* 1/4 (sqrt (/ 1 (log 2)))) (* 1/4 (sqrt (/ 1 (log 2))))) (* (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) (sqrt (log 2))))) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (* (sqrt (log1p (exp (/ 1 x)))) (sqrt (log1p (exp (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (exp (/ 1 x)))) (sqrt (log1p (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ 1 x))))) into (sqrt (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ 1 x))))) into (sqrt (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (exp (/ 1 x)))) (sqrt (log1p (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ 1 x))))) into (sqrt (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ 1 x))))) into (sqrt (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (log (+ 1 (exp (/ 1 x))))) (sqrt (log (+ 1 (exp (/ 1 x)))))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ 1 x))))) 0) (* 0 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 (/ 1 x))))) into (log (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (* (sqrt (log1p (exp (/ 1 (- x))))) (sqrt (log1p (exp (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (exp (/ 1 (- x))))) (sqrt (log1p (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ -1 x))))) into (sqrt (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ -1 x))))) into (sqrt (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log1p (exp (/ 1 (- x))))) (sqrt (log1p (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ -1 x))))) into (sqrt (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ -1 x))))) into (sqrt (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (log (+ 1 (exp (/ -1 x))))) (sqrt (log (+ 1 (exp (/ -1 x)))))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ -1 x))))) 0) (* 0 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ -1 x))))) 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ -1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (log (+ 1 (exp (/ -1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (log (+ 1 (exp (/ -1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (log (+ 1 (exp x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (log1p (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp 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 (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (/ (- 1/8 (pow (* 1/4 (sqrt (/ 1 (log 2)))) 2) (+)) (* 2 (sqrt (log 2)))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (log 2)))) x) (sqrt (log 2)))) into (- (+ (sqrt (log 2)) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (log1p (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ 1 x))))) into (sqrt (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ 1 x))))) into (sqrt (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ 1 x))))) into (sqrt (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ 1 (/ 1 x)))))) into (sqrt (log (+ 1 (exp x)))) * [misc]approximate: Taking taylor expansion of (sqrt (log1p (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ -1 x))))) into (sqrt (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 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 (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ -1 x))))) into (sqrt (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ -1 x))))) into (sqrt (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (log (+ 1 (exp (/ -1 (/ 1 (- x))))))) into (sqrt (log (+ 1 (exp x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [exit]simplify: Simplified to (+ 1 (exp x)) * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (log1p (exp x))) * [exit]simplify: Simplified to (log (log1p (exp x))) * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (log1p (exp x))) * [exit]simplify: Simplified to (exp (log1p (exp x))) * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [enter]simplify: Simplifying (cbrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp 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 (exp x)) 3) * [exit]simplify: Simplified to (pow (log1p (exp x)) 3) * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [exit]simplify: Simplified to (+ 1 (exp x)) * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (log1p (exp x))) * [exit]simplify: Simplified to (log (log1p (exp x))) * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (log1p (exp x))) * [exit]simplify: Simplified to (exp (log1p (exp x))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [enter]simplify: Simplifying (cbrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp 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 (exp x)) 3) * [exit]simplify: Simplified to (pow (log1p (exp x)) 3) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (expm1 (log1p (exp x))) * [exit]simplify: Simplified to (expm1 (log1p (exp x))) * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (exp x)) (log1p (exp x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (log1p (exp x)) (log1p (exp x))) * [exit]simplify: Simplified to (* (log1p (exp x)) (log1p (exp x))) * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (log1p (exp x)))) (log (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (log1p (exp x)))) (log (sqrt (log1p (exp x))))) * [exit]simplify: Simplified to (+ (log (sqrt (log1p (exp x)))) (log (sqrt (log1p (exp x))))) * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (log (log1p (exp x))) * [exit]simplify: Simplified to (log (log1p (exp x))) * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (log1p (exp x))) * [exit]simplify: Simplified to (exp (log1p (exp x))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (pow (log1p (exp x)) 3) * [exit]simplify: Simplified to (pow (log1p (exp x)) 3) * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) (cbrt (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [enter]simplify: Simplifying (cbrt (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (pow (log1p (exp x)) 3) * [exit]simplify: Simplified to (pow (log1p (exp x)) 3) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (exp x)) (log1p (exp x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (log1p (exp x)) (log1p (exp x))) * [exit]simplify: Simplified to (* (log1p (exp x)) (log1p (exp x))) * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [enter]simplify: Simplifying (sqrt (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (exp x))) (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))))) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))))) * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (exp x))) (sqrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (fabs (cbrt (log1p (exp x))))) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (fabs (cbrt (log1p (exp x))))) * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (exp x))) (sqrt 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt 1)) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt 1)) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (exp x))) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (cbrt (sqrt (log1p (exp x))))) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (cbrt (sqrt (log1p (exp x))))) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (log1p (exp x)))) (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (cbrt (log1p (exp x))))) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (cbrt (log1p (exp x))))) * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (sqrt (sqrt (log1p (exp x))))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (expm1 (sqrt (log1p (exp x)))) * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (log1p (sqrt (log1p (exp x)))) * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (log (sqrt (log1p (exp x)))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (exp (sqrt (log1p (exp x)))) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x))))) * [enter]simplify: Simplifying (cbrt (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (cbrt (sqrt (log1p (exp x)))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (log1p (exp x))) * [exit]simplify: Simplified to (* (sqrt (log1p (exp x))) (log1p (exp x))) * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (fabs (cbrt (log1p (exp x)))) * [exit]simplify: Simplified to (fabs (cbrt (log1p (exp x)))) * [enter]simplify: Simplifying (sqrt (cbrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (log1p (exp x)))) * [exit]simplify: Simplified to (sqrt (cbrt (log1p (exp x)))) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p (exp x)))) * [enter]simplify: Simplifying (sqrt (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p (exp x)))) * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p (exp x)))) * [enter]simplify: Simplifying (sqrt (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (sqrt (sqrt (log1p (exp x)))) * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log1p (exp x))) (sqrt (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))))) (* y x)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (sqrt (log1p (exp x))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* x (- y))) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log1p (exp x))) (sqrt (log (+ 1 (exp x))))) (* y x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log1p (exp x))) (sqrt (log (+ 1 (exp x))))) (* y x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x)))) (sqrt (log1p (exp x)))) (* y x)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (log1p (exp x))) (* y (- x))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log (+ 1 (exp x)))) (sqrt (log1p (exp x)))) (* y x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log (+ 1 (exp x)))) (sqrt (log1p (exp x)))) (* y x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) (* y x)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log1p (exp x))) (- (+ (sqrt (log 2)) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2))))) (* y x)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (fma (sqrt (log1p (exp x))) (- (fma (sqrt (/ 1 (log 2))) (* x (fma 1/16 x 1/4)) (sqrt (log 2))) (* (sqrt (/ (/ 1 (log 2)) (* (log 2) (log 2)))) (* x (* x 1/32)))) (* (- x) y)) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log1p (exp x))) (sqrt (log (+ 1 (exp x))))) (* y x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (log1p (exp x))) (sqrt (log (+ 1 (exp x))))) (* y x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y 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 1/8 1/2) (log 2)) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) in y * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 1/2)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (fma x 1/8 1/2) in y * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 (fma x 1/8 1/2) (log 2)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking 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 1/8) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-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 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (/ 1 (/ 1 x)))) (+ (* 1/8 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (- (+ (* 1/8 (pow x 2)) (* 1/2 x)) (* y x)) * [misc]approximate: Taking taylor expansion of (- (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ -1/2 (- (/ 1 y))) into (- (+ (/ 1 y) 1/2)) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 y) 1/2)) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) 1/2) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1/8 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (- (+ (* 1/8 (pow x 2)) (* 1/2 x)) (* y x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (expm1 (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * [exit]simplify: Simplified to (expm1 (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * * * [misc]progress: [ 2 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log1p (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * [exit]simplify: Simplified to (log1p (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * * * [misc]progress: [ 3 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* y x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 4 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* y x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 5 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* y x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 6 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (fma x (fma x 1/8 1/2) (log 2))) (exp (* y x))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (- (fma x (fma x 1/8 1/2) (log 2)) (* x y))) * [exit]simplify: Simplified to (exp (- (fma x (fma x 1/8 1/2) (log 2)) (* x y))) * * * * [misc]progress: [ 7 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * [exit]simplify: Simplified to (log (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * * * [misc]progress: [ 9 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (exp (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * [exit]simplify: Simplified to (exp (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * * * [misc]progress: [ 10 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)))) * [exit]simplify: Simplified to (* (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)))) * [enter]simplify: Simplifying (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * * * [misc]progress: [ 11 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (pow (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) 3) * [exit]simplify: Simplified to (pow (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) 3) * * * * [misc]progress: [ 12 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * [enter]simplify: Simplifying (sqrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) * * * * [misc]progress: [ 13 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (fma x (fma x 1/8 1/2) (log 2)) 3) (pow (* y x) 3)) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (fma (fma x (fma x 1/8 1/2) (log 2)) (* (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2))) (* (* (- x) y) (* (* y x) (* y x)))) * [exit]simplify: Simplified to (fma (fma x (fma x 1/8 1/2) (log 2)) (* (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2))) (* (* (- x) y) (* (* y x) (* y x)))) * [enter]simplify: Simplifying (+ (* (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2))) (+ (* (* y x) (* y x)) (* (fma x (fma x 1/8 1/2) (log 2)) (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (fma (fma x (fma x 1/8 1/2) (log 2)) (* x y) (fma (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2)) (* (* x y) (* x y)))) * [exit]simplify: Simplified to (fma (fma x (fma x 1/8 1/2) (log 2)) (* x y) (fma (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2)) (* (* x y) (* x y)))) * * * * [misc]progress: [ 14 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* y x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 15 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2))) (* (* y x) (* y x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (- (* (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2))) (* (* x y) (* x y))) * [exit]simplify: Simplified to (- (* (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2))) (* (* x y) (* x y))) * [enter]simplify: Simplifying (+ (fma x (fma x 1/8 1/2) (log 2)) (* y x)) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (fma y x (fma x (fma x 1/8 1/2) (log 2))) * [exit]simplify: Simplified to (fma y x (fma x (fma x 1/8 1/2) (log 2))) * * * * [misc]progress: [ 17 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log 2) (* y x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (- (log 2) (* y x)) * [exit]simplify: Simplified to (- (log 2) (* y x)) * * * * [misc]progress: [ 18 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * * * * [misc]progress: [ 19 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (pow x 2)) (* 1/2 x)) (* y x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* x (- (fma 1/8 x 1/2) y)) * * * * [misc]progress: [ 20 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (pow x 2)) (* 1/2 x)) (* y x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* x (- (fma 1/8 x 1/2) y)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 0 1/8) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 0 1/8) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (/ (- 1/8 (pow (* 1/4 (sqrt (/ 1 (log 2)))) 2) (+)) (* 2 (sqrt (log 2)))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (log 2)))) x) (sqrt (log 2)))) into (- (+ (sqrt (log 2)) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/8))) into (/ 1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/8))) into (/ 1/4 (sqrt 1/8)) * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (/ 1/4 (sqrt 1/8)) into (/ 1/4 (sqrt 1/8)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (/ (- (log 2) (pow (/ 1/4 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (/ 1 x)) (+ (/ 1/4 (sqrt 1/8)) (* (sqrt 1/8) (/ 1 (/ 1 x))))) into (- (+ (* 1/2 (/ (log 2) (* (sqrt 1/8) x))) (+ (* 1/4 (/ 1 (sqrt 1/8))) (* (sqrt 1/8) x))) (* 1/32 (/ 1 (* (pow (sqrt 1/8) 3) x)))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ -1/2 (* 2 (sqrt 1/8))) into (/ -1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ -1/2 (* 2 (sqrt 1/8))) into (/ -1/4 (sqrt 1/8)) * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (/ -1/4 (sqrt 1/8)) into (/ -1/4 (sqrt 1/8)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (/ (- (log 2) (pow (/ -1/4 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (/ 1 (- x))) (+ (/ -1/4 (sqrt 1/8)) (* (sqrt 1/8) (/ 1 (/ 1 (- x)))))) into (- (* 1/32 (/ 1 (* (pow (sqrt 1/8) 3) x))) (+ (* 1/2 (/ (log 2) (* (sqrt 1/8) x))) (+ (* 1/4 (/ 1 (sqrt 1/8))) (* (sqrt 1/8) x)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 0 1/8) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 0 1/8) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (/ (- 1/8 (pow (* 1/4 (sqrt (/ 1 (log 2)))) 2) (+)) (* 2 (sqrt (log 2)))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (log 2)))) x) (sqrt (log 2)))) into (- (+ (sqrt (log 2)) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/8))) into (/ 1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/8))) into (/ 1/4 (sqrt 1/8)) * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (/ 1/4 (sqrt 1/8)) into (/ 1/4 (sqrt 1/8)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (/ (- (log 2) (pow (/ 1/4 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (/ 1 x)) (+ (/ 1/4 (sqrt 1/8)) (* (sqrt 1/8) (/ 1 (/ 1 x))))) into (- (+ (* 1/2 (/ (log 2) (* (sqrt 1/8) x))) (+ (* 1/4 (/ 1 (sqrt 1/8))) (* (sqrt 1/8) x))) (* 1/32 (/ 1 (* (pow (sqrt 1/8) 3) x)))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ -1/2 (* 2 (sqrt 1/8))) into (/ -1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ -1/2 (* 2 (sqrt 1/8))) into (/ -1/4 (sqrt 1/8)) * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (/ -1/4 (sqrt 1/8)) into (/ -1/4 (sqrt 1/8)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (/ (- (log 2) (pow (/ -1/4 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (/ 1 (- x))) (+ (/ -1/4 (sqrt 1/8)) (* (sqrt 1/8) (/ 1 (/ 1 (- x)))))) into (- (* 1/32 (/ 1 (* (pow (sqrt 1/8) 3) x))) (+ (* 1/2 (/ (log 2) (* (sqrt 1/8) x))) (+ (* 1/4 (/ 1 (sqrt 1/8))) (* (sqrt 1/8) x)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x))) in y * [misc]taylor: Rewrote expression to (+ (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (- (* y x))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in y * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 1/2)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (fma x 1/8 1/2) in y * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* x 1/8) into (* 1/8 x) * [misc]backup-simplify: Simplify (+ (* 1/8 x) 1/2) into (+ 1/2 (* 1/8 x)) * [misc]backup-simplify: Simplify (* x (+ 1/2 (* 1/8 x))) into (* (+ 1/2 (* 1/8 x)) x) * [misc]backup-simplify: Simplify (+ (* (+ 1/2 (* 1/8 x)) x) (log 2)) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x)))) into (sqrt (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x)))) * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 (+ 1/2 (* 1/8 x)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in y * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 1/2)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (fma x 1/8 1/2) in y * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* x 1/8) into (* 1/8 x) * [misc]backup-simplify: Simplify (+ (* 1/8 x) 1/2) into (+ 1/2 (* 1/8 x)) * [misc]backup-simplify: Simplify (* x (+ 1/2 (* 1/8 x))) into (* (+ 1/2 (* 1/8 x)) x) * [misc]backup-simplify: Simplify (+ (* (+ 1/2 (* 1/8 x)) x) (log 2)) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x)))) into (sqrt (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x)))) * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 (+ 1/2 (* 1/8 x)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (* y x)) in y * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x))) in x * [misc]taylor: Rewrote expression to (+ (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (- (* y x))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 0 1/8) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 0 1/8) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (- (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x))) in x * [misc]taylor: Rewrote expression to (+ (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (- (* y x))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 0 1/8) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (fma x (fma x 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 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 (fma x 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/8) 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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 0 1/8) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt (log 2)))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (- (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sqrt (log 2)) (sqrt (log 2))) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (log 2)) (* 1/4 (sqrt (/ 1 (log 2))))) (* (* 1/4 (sqrt (/ 1 (log 2)))) (sqrt (log 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-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 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (/ (- 1/8 (pow (* 1/4 (sqrt (/ 1 (log 2)))) 2) (+)) (* 2 (sqrt (log 2)))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (/ (- 1/8 (pow (* 1/4 (sqrt (/ 1 (log 2)))) 2) (+)) (* 2 (sqrt (log 2)))) into (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (log 2)) (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2)))))) (+ (* (* 1/4 (sqrt (/ 1 (log 2)))) (* 1/4 (sqrt (/ 1 (log 2))))) (* (* 1/2 (* (- 1/8 (* 1/16 (/ 1 (log 2)))) (sqrt (/ 1 (log 2))))) (sqrt (log 2))))) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (fma (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (- (* (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (- (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Rewrote expression to (+ (* (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)))) (- (* (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (/ 1 x) 1/8) into (/ 1/8 x) * [misc]backup-simplify: Simplify (+ (/ 1/8 x) 1/2) into (+ 1/2 (* 1/8 (/ 1 x))) * [misc]backup-simplify: Simplify (* (/ 1 x) (+ 1/2 (* 1/8 (/ 1 x)))) into (/ (+ 1/2 (* 1/8 (/ 1 x))) x) * [misc]backup-simplify: Simplify (+ (/ (+ 1/2 (* 1/8 (/ 1 x))) x) (log 2)) into (+ (* 1/2 (/ 1 x)) (+ (log 2) (* 1/8 (/ 1 (pow x 2))))) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/2 (/ 1 x)) (+ (log 2) (* 1/8 (/ 1 (pow x 2)))))) into (sqrt (+ (* 1/2 (/ 1 x)) (+ (log 2) (* 1/8 (/ 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (+ 1/2 (* 1/8 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 x)) (+ (log 2) (* 1/8 (/ 1 (pow x 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (/ 1 x) 1/8) into (/ 1/8 x) * [misc]backup-simplify: Simplify (+ (/ 1/8 x) 1/2) into (+ 1/2 (* 1/8 (/ 1 x))) * [misc]backup-simplify: Simplify (* (/ 1 x) (+ 1/2 (* 1/8 (/ 1 x)))) into (/ (+ 1/2 (* 1/8 (/ 1 x))) x) * [misc]backup-simplify: Simplify (+ (/ (+ 1/2 (* 1/8 (/ 1 x))) x) (log 2)) into (+ (* 1/2 (/ 1 x)) (+ (log 2) (* 1/8 (/ 1 (pow x 2))))) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/2 (/ 1 x)) (+ (log 2) (* 1/8 (/ 1 (pow x 2)))))) into (sqrt (+ (* 1/2 (/ 1 x)) (+ (log 2) (* 1/8 (/ 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (+ 1/2 (* 1/8 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 x)) (+ (log 2) (* 1/8 (/ 1 (pow x 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (fma (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (- (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (+ (* (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)))) (- (* (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/8))) into (/ 1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/8))) into (/ 1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (- (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (+ (* (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)))) (- (* (/ 1 y) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/8))) into (/ 1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 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 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (* 2 (sqrt 1/8))) into (/ 1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (sqrt 1/8) (sqrt 1/8)) into (pow (sqrt 1/8) 2) * [misc]backup-simplify: Simplify (+ (pow (sqrt 1/8) 2) 0) into (pow (sqrt 1/8) 2) * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/8) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/8)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/8))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/8)) in y * [misc]taylor: Taking taylor expansion of (sqrt 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/8))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/8)) into (log (sqrt 1/8)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/8))) into (* 2 (log (sqrt 1/8))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/8)))) into (pow (sqrt 1/8) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/8) (/ 1/4 (sqrt 1/8))) (* (/ 1/4 (sqrt 1/8)) (sqrt 1/8))) into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (pow (sqrt 1/8) 2) into (pow (sqrt 1/8) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (/ (- (log 2) (pow (/ 1/4 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (/ (- (log 2) (pow (/ 1/4 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/8) (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ (* (/ 1/4 (sqrt 1/8)) (/ 1/4 (sqrt 1/8))) (* (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (sqrt 1/8)))) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (/ 1 (/ 1 x)))) (+ (* (pow (sqrt 1/8) 2) (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (- (+ (* (pow (sqrt 1/8) 2) (pow x 2)) (* 1/2 x)) (* y x)) * [misc]approximate: Taking taylor expansion of (fma (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (- (* (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (fma (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (- (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Rewrote expression to (+ (* (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)))) (- (* (/ 1 (- y)) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (/ -1 x) 1/8) into (/ -1/8 x) * [misc]backup-simplify: Simplify (+ (/ -1/8 x) 1/2) into (- 1/2 (* 1/8 (/ 1 x))) * [misc]backup-simplify: Simplify (* (/ -1 x) (- 1/2 (* 1/8 (/ 1 x)))) into (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) (log 2)) into (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) into (sqrt (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (- 1/2 (* 1/8 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (/ -1 x) 1/8) into (/ -1/8 x) * [misc]backup-simplify: Simplify (+ (/ -1/8 x) 1/2) into (- 1/2 (* 1/8 (/ 1 x))) * [misc]backup-simplify: Simplify (* (/ -1 x) (- 1/2 (* 1/8 (/ 1 x)))) into (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) (log 2)) into (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) into (sqrt (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (- 1/2 (* 1/8 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (fma (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (- (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (+ (* (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)))) (- (* (/ 1 (- y)) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ -1/2 (* 2 (sqrt 1/8))) into (/ -1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ -1/2 (* 2 (sqrt 1/8))) into (/ -1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (- (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (+ (* (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)))) (- (* (/ 1 (- y)) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (* (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ -1/2 (* 2 (sqrt 1/8))) into (/ -1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [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 (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ -1/2 (* 2 (sqrt 1/8))) into (/ -1/4 (sqrt 1/8)) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (sqrt 1/8) (sqrt 1/8)) into (pow (sqrt 1/8) 2) * [misc]backup-simplify: Simplify (+ (pow (sqrt 1/8) 2) 0) into (pow (sqrt 1/8) 2) * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/8) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/8)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/8))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/8)) in y * [misc]taylor: Taking taylor expansion of (sqrt 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (sqrt 1/8) into (sqrt 1/8) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/8))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/8)) into (log (sqrt 1/8)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/8))) into (* 2 (log (sqrt 1/8))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/8)))) into (pow (sqrt 1/8) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/8) (/ -1/4 (sqrt 1/8))) (* (/ -1/4 (sqrt 1/8)) (sqrt 1/8))) into (- 1/2) * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ (- 1/2) (- (/ 1 y))) into (- (+ (/ 1 y) 1/2)) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 y) 1/2)) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 y) 1/2) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (pow (sqrt 1/8) 2) into (pow (sqrt 1/8) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (/ (- (log 2) (pow (/ -1/4 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (/ (- (log 2) (pow (/ -1/4 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/8) (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) (+ (* (/ -1/4 (sqrt 1/8)) (/ -1/4 (sqrt 1/8))) (* (* 1/2 (/ (- (log 2) (* 1/16 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (sqrt 1/8)))) into (log 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* 1 (/ 1 (/ 1 (- x))))) (+ (* (pow (sqrt 1/8) 2) (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (- (+ (* (pow (sqrt 1/8) 2) (pow x 2)) (* 1/2 x)) (* y x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (expm1 (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 2 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (log1p (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 3 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (log (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 6 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (exp (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 7 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2))))) * [enter]simplify: Simplifying (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 8 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (fma x (fma x 1/8 1/2) (log 2)) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (* (fma x (fma x 1/8 1/2) (log 2)) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 9 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (fma x (fma x 1/8 1/2) (log 2))) (cbrt (fma x (fma x 1/8 1/2) (log 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (fabs (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 10 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [enter]simplify: Simplifying (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 11 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (fma x (fma x 1/8 1/2) (log 2))) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma x (fma x 1/8 1/2) (log 2))) * [exit]simplify: Simplified to (sqrt (fma x (fma x 1/8 1/2) (log 2))) * * * * [misc]progress: [ 12 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [enter]simplify: Simplifying (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 13 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (expm1 (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 16 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (log1p (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 17 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (log (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 20 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (exp (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 21 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2))))) * [enter]simplify: Simplifying (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 22 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (fma x (fma x 1/8 1/2) (log 2)) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (* (fma x (fma x 1/8 1/2) (log 2)) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 23 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (fma x (fma x 1/8 1/2) (log 2))) (cbrt (fma x (fma x 1/8 1/2) (log 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (fabs (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 24 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [enter]simplify: Simplifying (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 25 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (fma x (fma x 1/8 1/2) (log 2))) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma x (fma x 1/8 1/2) (log 2))) * [exit]simplify: Simplified to (sqrt (fma x (fma x 1/8 1/2) (log 2))) * * * * [misc]progress: [ 26 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [enter]simplify: Simplifying (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * [exit]simplify: Simplified to (sqrt (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 27 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (expm1 (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * [exit]simplify: Simplified to (expm1 (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * * * * [misc]progress: [ 30 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log1p (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * [exit]simplify: Simplified to (log1p (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * * * * [misc]progress: [ 31 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * * * * [misc]progress: [ 32 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * [exit]simplify: Simplified to (log (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * * * * [misc]progress: [ 34 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * [exit]simplify: Simplified to (exp (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * * * * [misc]progress: [ 35 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) (cbrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* (- y) x))) (cbrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* (- y) x)))) * [exit]simplify: Simplified to (* (cbrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* (- y) x))) (cbrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* (- y) x)))) * [enter]simplify: Simplifying (cbrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * [exit]simplify: Simplified to (cbrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * * * * [misc]progress: [ 36 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x))) (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (pow (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* (- y) x)) 3) * [exit]simplify: Simplified to (pow (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* (- y) x)) 3) * * * * [misc]progress: [ 37 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * [exit]simplify: Simplified to (sqrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * [enter]simplify: Simplifying (sqrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * [exit]simplify: Simplified to (sqrt (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x)))) * * * * [misc]progress: [ 38 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (+ (sqrt (log 2)) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2)))) (- (* y x))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (fma (sqrt (/ 1 (log 2))) (* x (fma 1/16 x 1/4)) (sqrt (log 2))) (* (* 1/32 (* x x)) (sqrt (/ (/ 1 (log 2)) (* (log 2) (log 2)))))) (* y (- x))) * * * * [misc]progress: [ 40 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (+ (* 1/2 (/ (log 2) (* (sqrt 1/8) x))) (+ (* 1/4 (/ 1 (sqrt 1/8))) (* (sqrt 1/8) x))) (* 1/32 (/ 1 (* (pow (sqrt 1/8) 3) x)))) (- (* y x))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (fma 1/2 (/ (log 2) (* x (sqrt 1/8))) (- (fma x (sqrt 1/8) (/ 1/4 (sqrt 1/8))) (/ (/ 1/32 1/8) (* x (sqrt 1/8))))) (* (- y) x)) * * * * [misc]progress: [ 41 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* 1/32 (/ 1 (* (pow (sqrt 1/8) 3) x))) (+ (* 1/2 (/ (log 2) (* (sqrt 1/8) x))) (+ (* 1/4 (/ 1 (sqrt 1/8))) (* (sqrt 1/8) x)))) (- (* y x))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * * [misc]simplify: iters left: 1 (476 enodes) * [exit]simplify: Simplified to (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (fma (/ 1 x) (/ (/ 1/32 1/8) (sqrt 1/8)) (/ (- 1/4) (sqrt 1/8))) (fma (/ 1/2 (sqrt 1/8)) (/ (log 2) x) (* x (sqrt 1/8)))) (* y (- x))) * * * * [misc]progress: [ 42 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (+ (sqrt (log 2)) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2)))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (fma (- (fma (sqrt (/ 1 (log 2))) (fma 1/16 (* x x) (* 1/4 x)) (sqrt (log 2))) (* (sqrt (/ (/ 1 (log 2)) (* (log 2) (log 2)))) (* x (* x 1/32)))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x))) * * * * [misc]progress: [ 43 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (+ (* 1/2 (/ (log 2) (* (sqrt 1/8) x))) (+ (* 1/4 (/ 1 (sqrt 1/8))) (* (sqrt 1/8) x))) (* 1/32 (/ 1 (* (pow (sqrt 1/8) 3) x)))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (fma (fma (log 2) (/ (/ 1/2 x) (sqrt 1/8)) (- (fma x (sqrt 1/8) (/ 1/4 (sqrt 1/8))) (/ (/ 1/32 (sqrt 1/8)) (* 1/8 x)))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* x (- y))) * * * * [misc]progress: [ 44 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (* 1/32 (/ 1 (* (pow (sqrt 1/8) 3) x))) (+ (* 1/2 (/ (log 2) (* (sqrt 1/8) x))) (+ (* 1/4 (/ 1 (sqrt 1/8))) (* (sqrt 1/8) x)))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* y x))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (fma (- (fma (/ 1/32 (sqrt 1/8)) (/ (/ 1 1/8) x) (* (- x) (sqrt 1/8))) (fma (/ 1/2 (sqrt 1/8)) (/ (log 2) x) (/ 1/4 (sqrt 1/8)))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (* y (- x))) * * * * [misc]progress: [ 45 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * * * * [misc]progress: [ 46 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (pow (sqrt 1/8) 2) (pow x 2)) (* 1/2 x)) (* y x)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* x (fma x 1/8 (- 1/2 y))) * * * * [misc]progress: [ 47 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (pow (sqrt 1/8) 2) (pow x 2)) (* 1/2 x)) (* y x)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* x (fma x 1/8 (- 1/2 y))) * * * [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 (exp x))) (* x y)) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x)))