* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 87 additional inputs, on iter 1 have 169 / 256 * * * * [misc]points: Computing exacts on every 5 of 87 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 87 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 87 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 25 additional inputs, on iter 2 have 231 / 256 * * * * [misc]points: Computing exacts for 25 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 3 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 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 / 38 ] 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 / 38 ] 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 / 38 ] 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 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 38 ] 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 / 38 ] 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 / 38 ] 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 / 38 ] 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 / 38 ] 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 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [exit]simplify: Simplified to (- (* x y) (* x y)) * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [exit]simplify: Simplified to (- (* x y) (* x y)) * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (exp x)) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [exit]simplify: Simplified to (- (* x y) (* x y)) * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 17 / 38 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 18 / 38 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 19 / 38 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 20 / 38 ] 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: [ 21 / 38 ] 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) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* x y))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* x y))) * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 25 / 38 ] 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 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 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 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 26 / 38 ] 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 (12 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (129 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: [ 27 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 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 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 28 / 38 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (325 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 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (135 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: [ 29 / 38 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 38 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (384 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: [ 32 / 38 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 33 / 38 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (fma (fma x 1/8 (- 1/2 y)) x (log 2)) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 36 / 38 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 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 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) * * * * [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 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (- (log1p (exp x)) (* y x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (log1p (exp x)) (* y x)))) in y * [misc]taylor: Rewrote expression to (- (exp (log1p (- (log1p (exp x)) (* y x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (- (log1p (exp x)) (* y x)))) in y * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp x)) (* y x))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* y x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* y 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 (- (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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ 1 (exp x))) 0) into (log (+ 1 (exp x))) * [misc]backup-simplify: Simplify (+ 1 (log (+ 1 (exp x)))) into (+ 1 (log (+ 1 (exp x)))) * [misc]backup-simplify: Simplify (log (+ 1 (log (+ 1 (exp x))))) into (log (+ 1 (log (+ 1 (exp x))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log (+ 1 (exp x)))))) into (+ 1 (log (+ 1 (exp x)))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (log1p (exp x)) (* y x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (- (log1p (exp x)) (* y x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (- (log1p (exp x)) (* y x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp x)) (* y x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* y x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* y 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 (- (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]backup-simplify: Simplify (+ 1 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (log (+ 1 (log 2))) into (log (+ 1 (log 2))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log 2)))) into (+ 1 (log 2)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (log1p (exp x)) (* y x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (- (log1p (exp x)) (* y x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (- (log1p (exp x)) (* y x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp x)) (* y x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* y x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* y 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 (- (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]backup-simplify: Simplify (+ 1 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (log (+ 1 (log 2))) into (log (+ 1 (log 2))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (log 2)))) into (+ 1 (log 2)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (log 2)) -1) 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]backup-simplify: Simplify (+ 0 (- 1/2 y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1/2 y)) 1)) (pow (+ 1 (log 2)) 1)))) 1) into (- (* 1/2 (/ 1 (+ 1 (log 2)))) (/ y (+ 1 (log 2)))) * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (log 2)))) (+ (* (/ (pow (- (* 1/2 (/ 1 (+ 1 (log 2)))) (/ y (+ 1 (log 2)))) 1) 1)))) into (* (+ 1 (log 2)) (- (* 1/2 (/ 1 (+ 1 (log 2)))) (/ y (+ 1 (log 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (log 2)) (- (* 1/2 (/ 1 (+ 1 (log 2)))) (/ y (+ 1 (log 2))))) 0) into (- (+ (* 1/2 (/ 1 (+ 1 (log 2)))) (* 1/2 (/ (log 2) (+ 1 (log 2))))) (+ (/ y (+ 1 (log 2))) (/ (* y (log 2)) (+ 1 (log 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (+ 1 (log 2)))) (* 1/2 (/ (log 2) (+ 1 (log 2))))) (+ (/ y (+ 1 (log 2))) (/ (* y (log 2)) (+ 1 (log 2))))) in y * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (+ 1 (log 2)))) (* 1/2 (/ (log 2) (+ 1 (log 2))))) in y * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (+ 1 (log 2)))) 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 (+ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (log 2))) into (/ 1 (+ 1 (log 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log 2) (+ 1 (log 2)))) 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 (/ (log 2) (+ 1 (log 2))) in y * [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 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (/ (log 2) (+ 1 (log 2))) into (/ (log 2) (+ 1 (log 2))) * [misc]taylor: Taking taylor expansion of (+ (/ y (+ 1 (log 2))) (/ (* y (log 2)) (+ 1 (log 2)))) in y * [misc]taylor: Taking taylor expansion of (/ y (+ 1 (log 2))) 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 (+ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (log 2))) into (/ 1 (+ 1 (log 2))) * [misc]taylor: Taking taylor expansion of (/ (* y (log 2)) (+ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (* y (log 2)) 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 (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 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (* 0 (log 2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log 2))) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (/ (log 2) (+ 1 (log 2))) into (/ (log 2) (+ 1 (log 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (+ 1 (log 2)))) into (/ 1/2 (+ 1 (log 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (log 2) (+ 1 (log 2)))) into (* 1/2 (/ (log 2) (+ 1 (log 2)))) * [misc]backup-simplify: Simplify (+ (/ 1/2 (+ 1 (log 2))) (* 1/2 (/ (log 2) (+ 1 (log 2))))) into (+ (* 1/2 (/ 1 (+ 1 (log 2)))) (* 1/2 (/ (log 2) (+ 1 (log 2))))) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 (+ 1 (log 2)))) (* 1/2 (/ (log 2) (+ 1 (log 2))))) 0) into (+ (* 1/2 (/ 1 (+ 1 (log 2)))) (* 1/2 (/ (log 2) (+ 1 (log 2))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (+ 1 (log 2)))) (* 1/2 (/ (log 2) (+ 1 (log 2))))) into (+ (* 1/2 (/ 1 (+ 1 (log 2)))) (* 1/2 (/ (log 2) (+ 1 (log 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]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1/2 y)) 2)) (pow (+ 1 (log 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ 1 (log 2)) 1)))) 2) into (* 1/2 (- (+ (/ y (pow (+ 1 (log 2)) 2)) (* 1/4 (/ 1 (+ 1 (log 2))))) (+ (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))) (/ (pow y 2) (pow (+ 1 (log 2)) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (log 2)))) (+ (* (/ (pow (- (* 1/2 (/ 1 (+ 1 (log 2)))) (/ y (+ 1 (log 2)))) 2) 2)) (* (/ (pow (* 1/2 (- (+ (/ y (pow (+ 1 (log 2)) 2)) (* 1/4 (/ 1 (+ 1 (log 2))))) (+ (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))) (/ (pow y 2) (pow (+ 1 (log 2)) 2))))) 1) 1)))) into 1/8 * [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 (+ 1 (log 2)))) (* 1/2 (/ (log 2) (+ 1 (log 2))))) (* 1 x)) (log 2))) into (+ (* 1/8 (pow x 2)) (+ (* 1/2 (/ (* (log 2) x) (+ 1 (log 2)))) (+ (log 2) (* 1/2 (/ x (+ 1 (log 2))))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 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 (- (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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 x))) (log y))) into (exp (- (log (- (/ 1 x))) (log y))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 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 (- (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]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 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 (- (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]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (- (/ 1 y))) (log x))) -1) into (- (exp (- (log (- (/ 1 y))) (log x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (log (- (/ 1 y))) (log x))) 1) in y * [misc]taylor: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log -1) (+ (log y) (log x)))) -1) into (- (exp (- (log -1) (+ (log y) (log x)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log -1) (+ (log y) (log x)))) 1) into (- (exp (- (log -1) (+ (log y) (log x)))) 1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [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]backup-simplify: Simplify (+ 1 (log (+ 1 (exp (/ 1 x))))) into (+ (log (+ 1 (exp (/ 1 x)))) 1) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) 1) 1)))) into (* -1 (* (+ y (* (log (+ 1 (exp (/ 1 x)))) y)) (exp (- (log (- (/ 1 y))) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (+ y (* (log (+ 1 (exp (/ 1 x)))) y)) (exp (- (log (- (/ 1 y))) (log x))))) 0) into (- (+ (* y (exp (- (log (- (/ 1 y))) (log x)))) (* (log (+ 1 (exp (/ 1 x)))) (* y (exp (- (log (- (/ 1 y))) (log x))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* y (exp (- (log (- (/ 1 y))) (log x)))) (* (log (+ 1 (exp (/ 1 x)))) (* y (exp (- (log (- (/ 1 y))) (log x))))))) in y * [misc]taylor: Taking taylor expansion of (+ (* y (exp (- (log (- (/ 1 y))) (log x)))) (* (log (+ 1 (exp (/ 1 x)))) (* y (exp (- (log (- (/ 1 y))) (log x)))))) in y * [misc]taylor: Taking taylor expansion of (* y (exp (- (log (- (/ 1 y))) (log 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 (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 x)))) (* y (exp (- (log (- (/ 1 y))) (log x))))) in y * [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]taylor: Taking taylor expansion of (* y (exp (- (log (- (/ 1 y))) (log 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 (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (* 0 (exp (- (log -1) (+ (log y) (log x))))) into 0 * [misc]backup-simplify: Simplify (* 0 (exp (- (log -1) (+ (log y) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (log (+ 1 (exp (/ 1 x)))) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log 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 (- (+ (* 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (+ (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2)))))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) 2) 2)) (* (/ (pow (* -1/2 (+ (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2)))))) 1) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (exp (- (log -1) (+ (log y) (log x)))))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (exp (- (log -1) (+ (log y) (log x)))))) into (exp (- (log -1) (+ (log y) (log x)))) * [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 (+ (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x))))) (* 0 0)) into (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x))))) * [misc]backup-simplify: Simplify (+ (exp (- (log -1) (+ (log y) (log x)))) (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x)))))) into (+ (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x))))) (exp (- (log -1) (+ (log y) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x))))) (exp (- (log -1) (+ (log y) (log x)))))) into (- (+ (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x))))) (exp (- (log -1) (+ (log y) (log x)))))) * [misc]backup-simplify: Simplify (- (+ (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x))))) (exp (- (log -1) (+ (log y) (log x)))))) into (- (+ (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x))))) (exp (- (log -1) (+ (log y) (log x)))))) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/6 (+ (* 6 (* (log (+ 1 (exp (/ 1 x)))) (pow y 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3))) (* 2 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))))))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) 3) 6)) (* (/ (pow (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) 1) 1) (/ (pow (* -1/2 (+ (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2)))))) 1) 1)) (* (/ (pow (* -1/6 (+ (* 6 (* (log (+ 1 (exp (/ 1 x)))) (pow y 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3))) (* 2 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))))))) 1) 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 (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (- (log -1) (+ (log y) (log x))))))) into 0 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (- (log -1) (+ (log y) (log x))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* (log (+ 1 (exp (/ 1 x)))) 0) (+ (* 0 (exp (- (log -1) (+ (log y) (log x))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/24 (+ (* 24 (* (log (+ 1 (exp (/ 1 x)))) (pow y 4))) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) (+ (* 36 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 4))) (+ (* 24 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4))) (* 6 (pow y 4))))))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) 4) 24)) (* (/ (pow (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) 2) 2) (/ (pow (* -1/2 (+ (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2)))))) 1) 1)) (* (/ (pow (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) 1) 1) (/ (pow (* -1/6 (+ (* 6 (* (log (+ 1 (exp (/ 1 x)))) (pow y 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3))) (* 2 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))))))) 1) 1)) (* (/ (pow (* -1/2 (+ (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2)))))) 2) 2)) (* (/ (pow (* -1/24 (+ (* 24 (* (log (+ 1 (exp (/ 1 x)))) (pow y 4))) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) (+ (* 36 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 4))) (+ (* 24 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4))) (* 6 (pow y 4))))))) 1) 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 (+ (* (- (+ (* (log (+ 1 (exp (/ 1 (/ 1 x))))) (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x)))))) (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))))) (* (/ 1 y) (/ 1 x))) (- (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) 1)) into (- (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (+ 1 (+ (/ (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (* y x)) (/ (* (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (log (+ 1 (exp x)))) (* y x))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 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 (- (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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 x))) (log y))) into (exp (- (log (- (/ 1 x))) (log y))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 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 (- (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]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 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 (- (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]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log (- (/ 1 y))) (log x))) -1) into (- (exp (- (log (- (/ 1 y))) (log x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (log (- (/ 1 y))) (log x))) 1) in y * [misc]taylor: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log -1) (+ (log y) (log x)))) -1) into (- (exp (- (log -1) (+ (log y) (log x)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log -1) (+ (log y) (log x)))) 1) into (- (exp (- (log -1) (+ (log y) (log x)))) 1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (+ 1 (log (+ 1 (exp (/ -1 x))))) into (+ 1 (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (+ y (* y (log (+ 1 (exp (/ -1 x))))))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ y (* y (log (+ 1 (exp (/ -1 x))))))) 1) 1)))) into (* -1 (* (exp (- (log (- (/ 1 y))) (log x))) (+ y (* y (log (+ 1 (exp (/ -1 x)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (- (log (- (/ 1 y))) (log x))) (+ y (* y (log (+ 1 (exp (/ -1 x)))))))) 0) into (- (+ (* y (exp (- (log (- (/ 1 y))) (log x)))) (* y (* (exp (- (log (- (/ 1 y))) (log x))) (log (+ 1 (exp (/ -1 x)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* y (exp (- (log (- (/ 1 y))) (log x)))) (* y (* (exp (- (log (- (/ 1 y))) (log x))) (log (+ 1 (exp (/ -1 x)))))))) in y * [misc]taylor: Taking taylor expansion of (+ (* y (exp (- (log (- (/ 1 y))) (log x)))) (* y (* (exp (- (log (- (/ 1 y))) (log x))) (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* y (exp (- (log (- (/ 1 y))) (log 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 (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]taylor: Taking taylor expansion of (* y (* (exp (- (log (- (/ 1 y))) (log x))) (log (+ 1 (exp (/ -1 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 (* (exp (- (log (- (/ 1 y))) (log x))) (log (+ 1 (exp (/ -1 x))))) in y * [misc]taylor: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log 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 (* 0 (exp (- (log -1) (+ (log y) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) into (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 0 (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log 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 (- 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (+ (pow y 2) (+ (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x))))))))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ y (* y (log (+ 1 (exp (/ -1 x))))))) 2) 2)) (* (/ (pow (* -1/2 (+ (pow y 2) (+ (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x))))))))) 1) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (exp (- (log -1) (+ (log y) (log x)))))) into (exp (- (log -1) (+ (log y) (log x)))) * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log -1) (+ (log y) (log x)))) 0) (* 0 (log (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))))) into (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (exp (- (log -1) (+ (log y) (log x)))) (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))) into (+ (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) (exp (- (log -1) (+ (log y) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) (exp (- (log -1) (+ (log y) (log x)))))) into (- (+ (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) (exp (- (log -1) (+ (log y) (log x)))))) * [misc]backup-simplify: Simplify (- (+ (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) (exp (- (log -1) (+ (log y) (log x)))))) into (- (+ (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) (exp (- (log -1) (+ (log y) (log x)))))) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 3) (log (+ 1 (exp (/ -1 x)))))))))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ y (* y (log (+ 1 (exp (/ -1 x))))))) 3) 6)) (* (/ (pow (* -1 (+ y (* y (log (+ 1 (exp (/ -1 x))))))) 1) 1) (/ (pow (* -1/2 (+ (pow y 2) (+ (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x))))))))) 1) 1)) (* (/ (pow (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 3) (log (+ 1 (exp (/ -1 x)))))))))) 1) 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 (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (- (log -1) (+ (log y) (log x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log -1) (+ (log y) (log x)))) 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/24 (+ (* 24 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 24 (* (pow y 4) (log (+ 1 (exp (/ -1 x)))))) (+ (* 6 (pow y 4)) (+ (* 36 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))))))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ y (* y (log (+ 1 (exp (/ -1 x))))))) 4) 24)) (* (/ (pow (* -1 (+ y (* y (log (+ 1 (exp (/ -1 x))))))) 2) 2) (/ (pow (* -1/2 (+ (pow y 2) (+ (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x))))))))) 1) 1)) (* (/ (pow (* -1 (+ y (* y (log (+ 1 (exp (/ -1 x))))))) 1) 1) (/ (pow (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 3) (log (+ 1 (exp (/ -1 x)))))))))) 1) 1)) (* (/ (pow (* -1/2 (+ (pow y 2) (+ (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x))))))))) 2) 2)) (* (/ (pow (* -1/24 (+ (* 24 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 24 (* (pow y 4) (log (+ 1 (exp (/ -1 x)))))) (+ (* 6 (pow y 4)) (+ (* 36 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))))))) 1) 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 (+ (* (- (+ (* (exp (- (log -1) (+ (log (/ 1 (- y))) (log (/ 1 (- x)))))) (log (+ 1 (exp (/ -1 (/ 1 (- x))))))) (exp (- (log -1) (+ (log (/ 1 (- y))) (log (/ 1 (- x)))))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (exp (- (log -1) (+ (log (/ 1 (- y))) (log (/ 1 (- x)))))) 1)) into (- (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (+ (/ (* (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (log (+ 1 (exp x)))) (* y x)) (+ 1 (/ (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (* y 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 (log1p (- (log1p (exp x)) (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp x)) (* y x))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* y x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* y 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 (- (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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ 1 (exp x))) 0) into (log (+ 1 (exp x))) * [misc]backup-simplify: Simplify (+ 1 (log (+ 1 (exp x)))) into (+ 1 (log (+ 1 (exp x)))) * [misc]backup-simplify: Simplify (log (+ 1 (log (+ 1 (exp x))))) into (log (+ 1 (log (+ 1 (exp x))))) * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp x)) (* y x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* y x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* y 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 (- (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]backup-simplify: Simplify (+ 1 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (log (+ 1 (log 2))) into (log (+ 1 (log 2))) * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp x)) (* y x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* y x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* y 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 (- (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]backup-simplify: Simplify (+ 1 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (log (+ 1 (log 2))) into (log (+ 1 (log 2))) * [misc]taylor: Taking taylor expansion of (log (+ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (log (+ 1 (log 2))) into (log (+ 1 (log 2))) * [misc]backup-simplify: Simplify (log (+ 1 (log 2))) into (log (+ 1 (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]backup-simplify: Simplify (+ 0 (- 1/2 y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1/2 y)) 1)) (pow (+ 1 (log 2)) 1)))) 1) into (- (* 1/2 (/ 1 (+ 1 (log 2)))) (/ y (+ 1 (log 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (+ 1 (log 2)))) (/ y (+ 1 (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (+ 1 (log 2)))) 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 (+ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (log 2))) into (/ 1 (+ 1 (log 2))) * [misc]taylor: Taking taylor expansion of (/ y (+ 1 (log 2))) 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 (+ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (log 2))) into (/ 1 (+ 1 (log 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (+ 1 (log 2)))) into (/ 1/2 (+ 1 (log 2))) * [misc]backup-simplify: Simplify (+ (/ 1/2 (+ 1 (log 2))) 0) into (* 1/2 (/ 1 (+ 1 (log 2)))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (+ 1 (log 2)))) into (/ 1/2 (+ 1 (log 2))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (log 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]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1/2 y)) 2)) (pow (+ 1 (log 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ 1 (log 2)) 1)))) 2) into (* 1/2 (- (+ (/ y (pow (+ 1 (log 2)) 2)) (* 1/4 (/ 1 (+ 1 (log 2))))) (+ (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))) (/ (pow y 2) (pow (+ 1 (log 2)) 2))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (- (+ (/ y (pow (+ 1 (log 2)) 2)) (* 1/4 (/ 1 (+ 1 (log 2))))) (+ (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))) (/ (pow y 2) (pow (+ 1 (log 2)) 2))))) 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 (pow (+ 1 (log 2)) 2)) (* 1/4 (/ 1 (+ 1 (log 2))))) (+ (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))) (/ (pow y 2) (pow (+ 1 (log 2)) 2)))) in y * [misc]taylor: Taking taylor expansion of (+ (/ y (pow (+ 1 (log 2)) 2)) (* 1/4 (/ 1 (+ 1 (log 2))))) in y * [misc]taylor: Taking taylor expansion of (/ y (pow (+ 1 (log 2)) 2)) 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 (pow (+ 1 (log 2)) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 1 (log 2))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 1 (log 2)))) 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 (+ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (log (+ 1 (log 2))) into (log (+ 1 (log 2))) * [misc]backup-simplify: Simplify (* 2 (log (+ 1 (log 2)))) into (* 2 (log (+ 1 (log 2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ 1 (log 2))))) into (pow (+ 1 (log 2)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (+ 1 (log 2)) 2)) into (/ 1 (pow (+ 1 (log 2)) 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (+ 1 (log 2)))) in y * [misc]taylor: Taking taylor expansion of 1/4 in y * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (log 2))) into (/ 1 (+ 1 (log 2))) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))) (/ (pow y 2) (pow (+ 1 (log 2)) 2))) in y * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))) in y * [misc]taylor: Taking taylor expansion of 1/4 in y * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ 1 (log 2)) 2)) in y * [misc]taylor: Taking taylor expansion of (pow (+ 1 (log 2)) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 1 (log 2))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 1 (log 2)))) 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 (+ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (log (+ 1 (log 2))) into (log (+ 1 (log 2))) * [misc]backup-simplify: Simplify (* 2 (log (+ 1 (log 2)))) into (* 2 (log (+ 1 (log 2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ 1 (log 2))))) into (pow (+ 1 (log 2)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (+ 1 (log 2)) 2)) into (/ 1 (pow (+ 1 (log 2)) 2)) * [misc]taylor: Taking taylor expansion of (/ (pow y 2) (pow (+ 1 (log 2)) 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]taylor: Taking taylor expansion of (pow (+ 1 (log 2)) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 1 (log 2))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 1 (log 2)))) 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 (+ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [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 (log 2)) into (+ 1 (log 2)) * [misc]backup-simplify: Simplify (log (+ 1 (log 2))) into (log (+ 1 (log 2))) * [misc]backup-simplify: Simplify (* 2 (log (+ 1 (log 2)))) into (* 2 (log (+ 1 (log 2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (+ 1 (log 2))))) into (pow (+ 1 (log 2)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (+ 1 (log 2)) 2)) into (/ 1 (pow (+ 1 (log 2)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (+ 1 (log 2)))) into (/ 1/4 (+ 1 (log 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (+ 1 (log 2)))) into (* 1/4 (/ 1 (+ 1 (log 2)))) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))) into (/ 1/4 (pow (+ 1 (log 2)) 2)) * [misc]backup-simplify: Simplify (+ (/ 1/4 (pow (+ 1 (log 2)) 2)) 0) into (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))) * [misc]backup-simplify: Simplify (- (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2)))) into (- (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ 1 (+ 1 (log 2)))) (- (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))))) into (- (* 1/4 (/ 1 (+ 1 (log 2)))) (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2)))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/4 (/ 1 (+ 1 (log 2)))) (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))))) into (* 1/2 (- (* 1/4 (/ 1 (+ 1 (log 2)))) (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/4 (/ 1 (+ 1 (log 2)))) (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))))) into (* 1/2 (- (* 1/4 (/ 1 (+ 1 (log 2)))) (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 1/4 (/ 1 (+ 1 (log 2)))) (* 1/4 (/ 1 (pow (+ 1 (log 2)) 2))))) (pow (* 1 x) 2)) (+ (* (/ 1/2 (+ 1 (log 2))) (* 1 x)) (log (+ 1 (log 2))))) into (- (+ (log (+ 1 (log 2))) (+ (* 1/8 (/ (pow x 2) (+ 1 (log 2)))) (* 1/2 (/ x (+ 1 (log 2)))))) (* 1/8 (/ (pow x 2) (pow (+ 1 (log 2)) 2)))) * [misc]approximate: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 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 (- (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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 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 (- (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]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 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 (- (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]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (- (log -1) (+ (log y) (log x))) into (- (log -1) (+ (log y) (log x))) * [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]backup-simplify: Simplify (+ 1 (log (+ 1 (exp (/ 1 x))))) into (+ (log (+ 1 (exp (/ 1 x)))) 1) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) * [misc]taylor: Taking taylor expansion of (* -1 (+ y (* (log (+ 1 (exp (/ 1 x)))) y))) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ y (* (log (+ 1 (exp (/ 1 x)))) 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]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 x)))) y) in y * [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]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 (* (log (+ 1 (exp (/ 1 x)))) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (+ (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2)))))) * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2)))))) 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 (+ (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2))))) in y * [misc]taylor: Taking taylor expansion of (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ 1 x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ 1 (exp (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ 1 (exp (/ 1 x)))))) 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 (log (+ 1 (exp (/ 1 x))))) in y * [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 (log (log (+ 1 (exp (/ 1 x))))) into (log (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ 1 (exp (/ 1 x)))))) into (* 2 (log (log (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ 1 (exp (/ 1 x))))))) into (pow (log (+ 1 (exp (/ 1 x)))) 2) * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]taylor: Taking taylor expansion of (+ (pow y 2) (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2)))) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (log (+ 1 (exp (/ 1 x)))) (pow y 2))) 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 (+ 1 (exp (/ 1 x)))) (pow y 2)) in y * [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]taylor: Taking taylor expansion of (pow y 2) in y * [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 (+ (* (log (+ 1 (exp (/ 1 x)))) 1) (* 0 0)) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 (log (+ 1 (exp (/ 1 x))))) into (+ (log (+ 1 (exp (/ 1 x)))) 1) * [misc]backup-simplify: Simplify (+ (* -1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) (* 0 0)) into (- (+ (log (+ 1 (exp (/ 1 x)))) 1)) * [misc]backup-simplify: Simplify (- (+ (log (+ 1 (exp (/ 1 x)))) 1)) into (- (+ (log (+ 1 (exp (/ 1 x)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/6 (+ (* 6 (* (log (+ 1 (exp (/ 1 x)))) (pow y 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3))) (* 2 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))))))) * [misc]taylor: Taking taylor expansion of (* -1/6 (+ (* 6 (* (log (+ 1 (exp (/ 1 x)))) (pow y 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3))) (* 2 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))))))) in y * [misc]taylor: Taking taylor expansion of -1/6 in y * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]taylor: Taking taylor expansion of (+ (* 6 (* (log (+ 1 (exp (/ 1 x)))) (pow y 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3))) (* 2 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))))) in y * [misc]taylor: Taking taylor expansion of (* 6 (* (log (+ 1 (exp (/ 1 x)))) (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 6 in y * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 x)))) (pow y 3)) in y * [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]taylor: Taking taylor expansion of (pow y 3) in y * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow y 3)) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3))) (* 2 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]taylor: Taking taylor expansion of (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3))) (* 2 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 6 in y * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ 1 x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ 1 (exp (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ 1 (exp (/ 1 x)))))) 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 (log (+ 1 (exp (/ 1 x))))) in y * [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 (log (log (+ 1 (exp (/ 1 x))))) into (log (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ 1 (exp (/ 1 x)))))) into (* 2 (log (log (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ 1 (exp (/ 1 x))))))) into (pow (log (+ 1 (exp (/ 1 x)))) 2) * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ 1 x)))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (+ 1 (exp (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log (+ 1 (exp (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (+ 1 (exp (/ 1 x))))) in y * [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 (log (log (+ 1 (exp (/ 1 x))))) into (log (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ 1 (exp (/ 1 x)))))) into (* 3 (log (log (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ 1 (exp (/ 1 x))))))) into (pow (log (+ 1 (exp (/ 1 x)))) 3) * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* (log (+ 1 (exp (/ 1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (+ (log (+ 1 (exp (/ 1 x)))) 1)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (+ (log (+ 1 (exp (/ 1 x)))) 1)) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/24 (+ (* 24 (* (log (+ 1 (exp (/ 1 x)))) (pow y 4))) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) (+ (* 36 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 4))) (+ (* 24 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4))) (* 6 (pow y 4))))))) * [misc]taylor: Taking taylor expansion of (* -1/24 (+ (* 24 (* (log (+ 1 (exp (/ 1 x)))) (pow y 4))) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) (+ (* 36 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 4))) (+ (* 24 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4))) (* 6 (pow y 4))))))) in y * [misc]taylor: Taking taylor expansion of -1/24 in y * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]taylor: Taking taylor expansion of (+ (* 24 (* (log (+ 1 (exp (/ 1 x)))) (pow y 4))) (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) (+ (* 36 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 4))) (+ (* 24 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4))) (* 6 (pow y 4)))))) in y * [misc]taylor: Taking taylor expansion of (* 24 (* (log (+ 1 (exp (/ 1 x)))) (pow y 4))) in y * [misc]taylor: Taking taylor expansion of 24 in y * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 x)))) (pow y 4)) in y * [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]taylor: Taking taylor expansion of (pow y 4) in y * [misc]taylor: Taking taylor expansion of (+ (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) (+ (* 36 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 4))) (+ (* 24 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4))) (* 6 (pow y 4))))) in y * [misc]taylor: Taking taylor expansion of (* 6 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) in y * [misc]taylor: Taking taylor expansion of 6 in y * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ 1 x)))) 4) in y * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (log (+ 1 (exp (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 4 (log (log (+ 1 (exp (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of 4 in y * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (log (+ 1 (exp (/ 1 x))))) in y * [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 (log (log (+ 1 (exp (/ 1 x))))) into (log (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 4 (log (log (+ 1 (exp (/ 1 x)))))) into (* 4 (log (log (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 4 (log (log (+ 1 (exp (/ 1 x))))))) into (pow (log (+ 1 (exp (/ 1 x)))) 4) * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]taylor: Taking taylor expansion of (+ (* 36 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 4))) (+ (* 24 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4))) (* 6 (pow y 4)))) in y * [misc]taylor: Taking taylor expansion of (* 36 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 4))) in y * [misc]taylor: Taking taylor expansion of 36 in y * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 4)) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ 1 x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ 1 (exp (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ 1 (exp (/ 1 x)))))) 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 (log (+ 1 (exp (/ 1 x))))) in y * [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 (log (log (+ 1 (exp (/ 1 x))))) into (log (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ 1 (exp (/ 1 x)))))) into (* 2 (log (log (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ 1 (exp (/ 1 x))))))) into (pow (log (+ 1 (exp (/ 1 x)))) 2) * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]taylor: Taking taylor expansion of (+ (* 24 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4))) (* 6 (pow y 4))) in y * [misc]taylor: Taking taylor expansion of (* 24 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4))) in y * [misc]taylor: Taking taylor expansion of 24 in y * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 4)) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ 1 x)))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (+ 1 (exp (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log (+ 1 (exp (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (+ 1 (exp (/ 1 x))))) in y * [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 (log (log (+ 1 (exp (/ 1 x))))) into (log (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ 1 (exp (/ 1 x)))))) into (* 3 (log (log (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ 1 (exp (/ 1 x))))))) into (pow (log (+ 1 (exp (/ 1 x)))) 3) * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]taylor: Taking taylor expansion of (* 6 (pow y 4)) in y * [misc]taylor: Taking taylor expansion of 6 in y * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]backup-simplify: Simplify (* (pow (log (+ 1 (exp (/ 1 x)))) 2) 1) into (pow (log (+ 1 (exp (/ 1 x)))) 2) * [misc]backup-simplify: Simplify (* (log (+ 1 (exp (/ 1 x)))) 1) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (* 2 (log (+ 1 (exp (/ 1 x))))) into (* 2 (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (log (+ 1 (exp (/ 1 x)))))) into (+ (* 2 (log (+ 1 (exp (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (+ (pow (log (+ 1 (exp (/ 1 x)))) 2) (+ (* 2 (log (+ 1 (exp (/ 1 x))))) 1)) into (+ (* 2 (log (+ 1 (exp (/ 1 x))))) (+ (pow (log (+ 1 (exp (/ 1 x)))) 2) 1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 2 (log (+ 1 (exp (/ 1 x))))) (+ (pow (log (+ 1 (exp (/ 1 x)))) 2) 1))) into (* -1/2 (+ (* 2 (log (+ 1 (exp (/ 1 x))))) (+ (pow (log (+ 1 (exp (/ 1 x)))) 2) 1))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 2 (log (+ 1 (exp (/ 1 x))))) (+ (pow (log (+ 1 (exp (/ 1 x)))) 2) 1))) into (* -1/2 (+ (* 2 (log (+ 1 (exp (/ 1 x))))) (+ (pow (log (+ 1 (exp (/ 1 x)))) 2) 1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (+ (* 2 (log (+ 1 (exp (/ 1 (/ 1 x)))))) (+ (pow (log (+ 1 (exp (/ 1 (/ 1 x))))) 2) 1))) (pow (* (/ 1 y) (/ 1 x)) 2)) (+ (* (- (+ (log (+ 1 (exp (/ 1 (/ 1 x))))) 1)) (* (/ 1 y) (/ 1 x))) (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x)))))) into (- (log -1) (+ (/ (log (+ 1 (exp x))) (* (pow y 2) (pow x 2))) (+ (* 1/2 (/ (pow (log (+ 1 (exp x))) 2) (* (pow y 2) (pow x 2)))) (+ (log (/ 1 x)) (+ (log (/ 1 y)) (+ (/ (log (+ 1 (exp x))) (* y x)) (+ (* 1/2 (/ 1 (* (pow y 2) (pow x 2)))) (/ 1 (* y x))))))))) * [misc]approximate: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 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 (- (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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 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 (- (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]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]taylor: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 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 (- (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]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (- (log -1) (+ (log y) (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (+ 1 (log (+ 1 (exp (/ -1 x))))) into (+ 1 (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (+ y (* y (log (+ 1 (exp (/ -1 x))))))) * [misc]taylor: Taking taylor expansion of (* -1 (+ y (* y (log (+ 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 (+ y (* y (log (+ 1 (exp (/ -1 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 (* y (log (+ 1 (exp (/ -1 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 (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 (* 0 (log (+ 1 (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (+ (pow y 2) (+ (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x))))))))) * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (pow y 2) (+ (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x))))))))) 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 (+ (pow y 2) (+ (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x)))))))) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]taylor: Taking taylor expansion of (+ (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ -1 x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ 1 (exp (/ -1 x)))))) 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 (log (+ 1 (exp (/ -1 x))))) in y * [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 (log (log (+ 1 (exp (/ -1 x))))) into (log (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ 1 (exp (/ -1 x)))))) into (* 2 (log (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ 1 (exp (/ -1 x))))))) into (pow (log (+ 1 (exp (/ -1 x)))) 2) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow y 2) (log (+ 1 (exp (/ -1 x)))))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow y 2) (log (+ 1 (exp (/ -1 x))))) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [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 (- (/ 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 0) (* 1 (log (+ 1 (exp (/ -1 x)))))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 1 (log (+ 1 (exp (/ -1 x))))) into (+ 1 (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (* -1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) (* 0 0)) into (- (+ 1 (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (- (+ 1 (log (+ 1 (exp (/ -1 x)))))) into (- (+ 1 (log (+ 1 (exp (/ -1 x)))))) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 3) (log (+ 1 (exp (/ -1 x)))))))))) * [misc]taylor: Taking taylor expansion of (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 3) (log (+ 1 (exp (/ -1 x)))))))))) in y * [misc]taylor: Taking taylor expansion of -1/6 in y * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 3) (log (+ 1 (exp (/ -1 x))))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ -1 x)))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log (+ 1 (exp (/ -1 x)))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (+ 1 (exp (/ -1 x))))) in y * [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 (log (log (+ 1 (exp (/ -1 x))))) into (log (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ 1 (exp (/ -1 x)))))) into (* 3 (log (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ 1 (exp (/ -1 x))))))) into (pow (log (+ 1 (exp (/ -1 x)))) 3) * [misc]taylor: Taking taylor expansion of (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 3) (log (+ 1 (exp (/ -1 x)))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]taylor: Taking taylor expansion of (+ (* 6 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 3) (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 6 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2))) in y * [misc]taylor: Taking taylor expansion of 6 in y * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ -1 x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ 1 (exp (/ -1 x)))))) 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 (log (+ 1 (exp (/ -1 x))))) in y * [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 (log (log (+ 1 (exp (/ -1 x))))) into (log (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ 1 (exp (/ -1 x)))))) into (* 2 (log (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ 1 (exp (/ -1 x))))))) into (pow (log (+ 1 (exp (/ -1 x)))) 2) * [misc]taylor: Taking taylor expansion of (* 6 (* (pow y 3) (log (+ 1 (exp (/ -1 x)))))) in y * [misc]taylor: Taking taylor expansion of 6 in y * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (pow y 3) (log (+ 1 (exp (/ -1 x))))) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [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 (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 0) (+ (* 1 0) (* 0 (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (+ 1 (log (+ 1 (exp (/ -1 x)))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (+ 1 (log (+ 1 (exp (/ -1 x)))))) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/24 (+ (* 24 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 24 (* (pow y 4) (log (+ 1 (exp (/ -1 x)))))) (+ (* 6 (pow y 4)) (+ (* 36 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))))))) * [misc]taylor: Taking taylor expansion of (* -1/24 (+ (* 24 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 24 (* (pow y 4) (log (+ 1 (exp (/ -1 x)))))) (+ (* 6 (pow y 4)) (+ (* 36 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))))))) in y * [misc]taylor: Taking taylor expansion of -1/24 in y * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]taylor: Taking taylor expansion of (+ (* 24 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 3))) (+ (* 24 (* (pow y 4) (log (+ 1 (exp (/ -1 x)))))) (+ (* 6 (pow y 4)) (+ (* 36 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4))))))) in y * [misc]taylor: Taking taylor expansion of (* 24 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 3))) in y * [misc]taylor: Taking taylor expansion of 24 in y * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ -1 x)))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log (+ 1 (exp (/ -1 x)))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (+ 1 (exp (/ -1 x))))) in y * [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 (log (log (+ 1 (exp (/ -1 x))))) into (log (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ 1 (exp (/ -1 x)))))) into (* 3 (log (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ 1 (exp (/ -1 x))))))) into (pow (log (+ 1 (exp (/ -1 x)))) 3) * [misc]taylor: Taking taylor expansion of (+ (* 24 (* (pow y 4) (log (+ 1 (exp (/ -1 x)))))) (+ (* 6 (pow y 4)) (+ (* 36 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))))) in y * [misc]taylor: Taking taylor expansion of (* 24 (* (pow y 4) (log (+ 1 (exp (/ -1 x)))))) in y * [misc]taylor: Taking taylor expansion of 24 in y * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (* (pow y 4) (log (+ 1 (exp (/ -1 x))))) in y * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [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]taylor: Taking taylor expansion of (+ (* 6 (pow y 4)) (+ (* 36 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4))))) in y * [misc]taylor: Taking taylor expansion of (* 6 (pow y 4)) in y * [misc]taylor: Taking taylor expansion of 6 in y * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]taylor: Taking taylor expansion of (+ (* 36 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2))) (* 6 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) in y * [misc]taylor: Taking taylor expansion of (* 36 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2))) in y * [misc]taylor: Taking taylor expansion of 36 in y * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ -1 x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ 1 (exp (/ -1 x)))))) 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 (log (+ 1 (exp (/ -1 x))))) in y * [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 (log (log (+ 1 (exp (/ -1 x))))) into (log (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ 1 (exp (/ -1 x)))))) into (* 2 (log (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ 1 (exp (/ -1 x))))))) into (pow (log (+ 1 (exp (/ -1 x)))) 2) * [misc]taylor: Taking taylor expansion of (* 6 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4))) in y * [misc]taylor: Taking taylor expansion of 6 in y * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)) in y * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ -1 x)))) 4) in y * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 4 (log (log (+ 1 (exp (/ -1 x)))))) in y * [misc]taylor: Taking taylor expansion of 4 in y * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (log (+ 1 (exp (/ -1 x))))) in y * [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 (log (log (+ 1 (exp (/ -1 x))))) into (log (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 4 (log (log (+ 1 (exp (/ -1 x)))))) into (* 4 (log (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 4 (log (log (+ 1 (exp (/ -1 x))))))) into (pow (log (+ 1 (exp (/ -1 x)))) 4) * [misc]backup-simplify: Simplify (* 1 (pow (log (+ 1 (exp (/ -1 x)))) 2)) into (pow (log (+ 1 (exp (/ -1 x)))) 2) * [misc]backup-simplify: Simplify (* 1 (log (+ 1 (exp (/ -1 x))))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (* 2 (log (+ 1 (exp (/ -1 x))))) into (* 2 (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (pow (log (+ 1 (exp (/ -1 x)))) 2) (* 2 (log (+ 1 (exp (/ -1 x)))))) into (+ (pow (log (+ 1 (exp (/ -1 x)))) 2) (* 2 (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (+ 1 (+ (pow (log (+ 1 (exp (/ -1 x)))) 2) (* 2 (log (+ 1 (exp (/ -1 x))))))) into (+ 1 (+ (pow (log (+ 1 (exp (/ -1 x)))) 2) (* 2 (log (+ 1 (exp (/ -1 x))))))) * [misc]backup-simplify: Simplify (* -1/2 (+ 1 (+ (pow (log (+ 1 (exp (/ -1 x)))) 2) (* 2 (log (+ 1 (exp (/ -1 x)))))))) into (* -1/2 (+ 1 (+ (pow (log (+ 1 (exp (/ -1 x)))) 2) (* 2 (log (+ 1 (exp (/ -1 x)))))))) * [misc]backup-simplify: Simplify (* -1/2 (+ 1 (+ (pow (log (+ 1 (exp (/ -1 x)))) 2) (* 2 (log (+ 1 (exp (/ -1 x)))))))) into (* -1/2 (+ 1 (+ (pow (log (+ 1 (exp (/ -1 x)))) 2) (* 2 (log (+ 1 (exp (/ -1 x)))))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (+ 1 (+ (pow (log (+ 1 (exp (/ -1 (/ 1 (- x)))))) 2) (* 2 (log (+ 1 (exp (/ -1 (/ 1 (- x)))))))))) (pow (* (/ 1 (- y)) (/ 1 (- x))) 2)) (+ (* (- (+ 1 (log (+ 1 (exp (/ -1 (/ 1 (- x)))))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (log -1) (+ (log (/ 1 (- y))) (log (/ 1 (- x))))))) into (- (log -1) (+ (log (/ -1 x)) (+ (/ (log (+ 1 (exp x))) (* (pow y 2) (pow x 2))) (+ (* 1/2 (/ (pow (log (+ 1 (exp x))) 2) (* (pow y 2) (pow x 2)))) (+ (log (/ -1 y)) (+ (/ (log (+ 1 (exp x))) (* y x)) (+ (* 1/2 (/ 1 (* (pow y 2) (pow x 2)))) (/ 1 (* y x))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [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 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (exp (log1p (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (exp (log1p (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (log1p (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (log1p (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (log1p (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (log1p (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (log1p (- (log1p (exp x)) (* y x))))) (cbrt (expm1 (log1p (- (log1p (exp x)) (* y x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 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 (expm1 (log1p (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (log1p (- (log1p (exp x)) (* y x)))) (expm1 (log1p (- (log1p (exp x)) (* y x))))) (expm1 (log1p (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (131 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: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 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 (expm1 (log1p (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] 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 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (- (log1p (exp 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 (45 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (+ (- 1 (* x y)) (log1p (exp x))) * [exit]simplify: Simplified to (+ (- 1 (* x y)) (log1p (exp x))) * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log1p (log1p (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (log1p (log1p (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log (log1p (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (log (log1p (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (exp (log1p (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (exp (log1p (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (- (log1p (exp x)) (* y x)))) (cbrt (log1p (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (- (log1p (exp x)) (* y x)))) (cbrt (log1p (- (log1p (exp x)) (* y x))))) * [exit]simplify: Simplified to (* (cbrt (log1p (- (log1p (exp x)) (* y x)))) (cbrt (log1p (- (log1p (exp x)) (* y x))))) * [enter]simplify: Simplifying (cbrt (log1p (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (log1p (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (cbrt (log1p (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (- (log1p (exp x)) (* y x))) (log1p (- (log1p (exp x)) (* y x)))) (log1p (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (pow (log1p (- (log1p (exp x)) (* y x))) 3) * [exit]simplify: Simplified to (pow (log1p (- (log1p (exp x)) (* y x))) 3) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (log1p (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (sqrt (log1p (- (log1p (exp x)) (* y x)))) * [enter]simplify: Simplifying (sqrt (log1p (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (log1p (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (sqrt (log1p (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [exit]simplify: Simplified to (- (* x y) (* x y)) * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [exit]simplify: Simplified to (- (* x y) (* x y)) * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (exp x)) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [exit]simplify: Simplified to (- (* x y) (* x y)) * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 39 / 66 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 40 / 66 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 41 / 66 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 42 / 66 ] 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: [ 43 / 66 ] 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) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* x y))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* x y))) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 47 / 66 ] 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 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 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 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 48 / 66 ] 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 (12 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (129 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: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 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 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 50 / 66 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (325 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 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (135 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: [ 51 / 66 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 66 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (384 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: [ 54 / 66 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/8 (pow x 2)) (+ (* 1/2 (/ (* (log 2) x) (+ 1 (log 2)))) (+ (log 2) (* 1/2 (/ x (+ 1 (log 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (fma 1/2 (* (+ 1 (log 2)) (/ x (+ 1 (log 2)))) (fma (* x x) 1/8 (log 2))) * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (+ 1 (+ (/ (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (* y x)) (/ (* (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (log (+ 1 (exp x)))) (* y x))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (+ (- (- 1) (* y x)) (fma (/ (* y x) (* y x)) (log1p (exp x)) (/ (* y x) (* y x)))) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (+ (/ (* (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (log (+ 1 (exp x)))) (* y x)) (+ 1 (/ (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (* y x))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (387 enodes) * [exit]simplify: Simplified to (- (- (/ x (/ -1 y)) 1) (fma (/ (/ x (/ -1 y)) (* x y)) (log1p (exp x)) (/ (/ x (/ -1 y)) (* x y)))) * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (- (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) (* y x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (fma (- (fma x 1/8 1/2) y) x (log 2)) * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (+ (log (+ 1 (log 2))) (+ (* 1/8 (/ (pow x 2) (+ 1 (log 2)))) (* 1/2 (/ x (+ 1 (log 2)))))) (* 1/8 (/ (pow x 2) (pow (+ 1 (log 2)) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (expm1 (+ (fma (/ 1/8 (+ (log 2) 1)) (/ (* (- x) x) (+ (log 2) 1)) (/ (* (* x 1/8) x) (+ (log 2) 1))) (fma (/ 1/2 (+ (log 2) 1)) x (log1p (log 2))))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log -1) (+ (/ (log (+ 1 (exp x))) (* (pow y 2) (pow x 2))) (+ (* 1/2 (/ (pow (log (+ 1 (exp x))) 2) (* (pow y 2) (pow x 2)))) (+ (log (/ 1 x)) (+ (log (/ 1 y)) (+ (/ (log (+ 1 (exp x))) (* y x)) (+ (* 1/2 (/ 1 (* (pow y 2) (pow x 2)))) (/ 1 (* y x)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (expm1 (- (- (- (log -1) (/ (log1p (exp x)) (* (* x x) (* y y)))) (/ (* (/ 1/2 (* x x)) (log1p (exp x))) (/ (* y y) (log1p (exp x))))) (+ (+ (- (/ 1 (* x y)) (log y)) (/ (/ 1/2 y) (* x (* x y)))) (- (/ (log1p (exp x)) (* x y)) (log x))))) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log -1) (+ (log (/ -1 x)) (+ (/ (log (+ 1 (exp x))) (* (pow y 2) (pow x 2))) (+ (* 1/2 (/ (pow (log (+ 1 (exp x))) 2) (* (pow y 2) (pow x 2)))) (+ (log (/ -1 y)) (+ (/ (log (+ 1 (exp x))) (* y x)) (+ (* 1/2 (/ 1 (* (pow y 2) (pow x 2)))) (/ 1 (* y x)))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (expm1 (- (- (- (+ 0 (log x)) (/ (log1p (exp x)) (* (* y y) (* x x)))) (* (/ (/ (/ 1/2 y) y) (* x x)) (* (log1p (exp x)) (log1p (exp x))))) (+ (+ (+ (/ (/ 1 y) x) (log (/ -1 y))) (/ (/ (/ 1/2 y) y) (* x x))) (/ (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 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 (fma x 1/8 (- 1/2 y)) x (log 2)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma x 1/8 (- 1/2 y)) x (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma x 1/8 (- 1/2 y)) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma x 1/8 (- 1/2 y)) x) in y * [misc]taylor: Taking taylor expansion of (fma x 1/8 (- 1/2 y)) in y * [misc]taylor: Rewrote expression to (+ (* x 1/8) (- 1/2 y)) * [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 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]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 (fma (fma x 1/8 (- 1/2 y)) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma x 1/8 (- 1/2 y)) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma x 1/8 (- 1/2 y)) x) in x * [misc]taylor: Taking taylor expansion of (fma x 1/8 (- 1/2 y)) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) (- 1/2 y)) * [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 y) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 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 (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 (fma (fma x 1/8 (- 1/2 y)) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma x 1/8 (- 1/2 y)) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma x 1/8 (- 1/2 y)) x) in x * [misc]taylor: Taking taylor expansion of (fma x 1/8 (- 1/2 y)) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) (- 1/2 y)) * [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 y) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 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 (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 (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (+ 0 (- 1/2 y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (* (- 1/2 y) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* (- 1/2 y) 1) (* 1/8 0)) into (- 1/2 y) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2 y) 0) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1/2 y) 0) (+ (* 1/8 1) (* 0 0))) 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]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 (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x) (log 2)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) (- 1/2 (/ 1 y))) * [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 (/ 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]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 (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 (fma (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) (- 1/2 (/ 1 y))) * [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 (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 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 (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 (fma (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) (- 1/2 (/ 1 y))) * [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 (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 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 (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 (* 1/8 1) 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 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- 1/2 (/ 1 y))) into (- 1/2 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* (- 1/2 (/ 1 y)) 1)) into (- 1/2 (/ 1 y)) * [misc]backup-simplify: Simplify (+ (- 1/2 (/ 1 y)) 0) 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* (- 1/2 (/ 1 y)) 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) 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 (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x)) (log 2)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x)) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) (- 1/2 (/ 1 (- y)))) * [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 (/ 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]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 (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 (fma (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) (- 1/2 (/ 1 (- y)))) * [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 (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (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 (fma (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) (- 1/2 (/ 1 (- y)))) * [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 (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (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 (* -1/8 -1) 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 (- 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 (- (/ -1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 1/2 (/ 1 y)) into (+ (/ 1 y) 1/2) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 y) 1/2)) into (+ (/ 1 y) 1/2) * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* (+ (/ 1 y) 1/2) -1)) into (- (+ (/ 1 y) 1/2)) * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 y) 1/2)) 0) 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 (/ 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 (+ 0 1) 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 (- 0) into 0 * [misc]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) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* (+ (/ 1 y) 1/2) 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) 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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* 1 (/ 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 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (fma x 1/8 (- 1/2 y)) x (log 2))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (expm1 (fma x (- (fma 1/8 x 1/2) y) (log 2))) * [exit]simplify: Simplified to (expm1 (fma x (- (fma 1/8 x 1/2) y) (log 2))) * * * * [misc]progress: [ 2 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (fma x 1/8 (- 1/2 y)) x (log 2))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (log1p (fma x (- (fma 1/8 x 1/2) y) (log 2))) * [exit]simplify: Simplified to (log1p (fma x (- (fma 1/8 x 1/2) y) (log 2))) * * * * [misc]progress: [ 3 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma x 1/8 (- 1/2 y)) x) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (- (fma 1/8 x 1/2) y) x) * [exit]simplify: Simplified to (* (- (fma 1/8 x 1/2) y) x) * * * * [misc]progress: [ 4 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (fma x 1/8 (- 1/2 y)) x (log 2))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (log (fma x (- (fma 1/8 x 1/2) y) (log 2))) * [exit]simplify: Simplified to (log (fma x (- (fma 1/8 x 1/2) y) (log 2))) * * * * [misc]progress: [ 6 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (fma x 1/8 (- 1/2 y)) x (log 2))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (exp (fma x (fma x 1/8 (- 1/2 y)) (log 2))) * [exit]simplify: Simplified to (exp (fma x (fma x 1/8 (- 1/2 y)) (log 2))) * * * * [misc]progress: [ 7 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (fma x 1/8 (- 1/2 y)) x (log 2))) (cbrt (fma (fma x 1/8 (- 1/2 y)) x (log 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (* (cbrt (fma x (fma x 1/8 (- 1/2 y)) (log 2))) (cbrt (fma x (fma x 1/8 (- 1/2 y)) (log 2)))) * [exit]simplify: Simplified to (* (cbrt (fma x (fma x 1/8 (- 1/2 y)) (log 2))) (cbrt (fma x (fma x 1/8 (- 1/2 y)) (log 2)))) * [enter]simplify: Simplifying (cbrt (fma (fma x 1/8 (- 1/2 y)) x (log 2))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (cbrt (fma x (- (fma 1/8 x 1/2) y) (log 2))) * [exit]simplify: Simplified to (cbrt (fma x (- (fma 1/8 x 1/2) y) (log 2))) * * * * [misc]progress: [ 8 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (fma x 1/8 (- 1/2 y)) x (log 2)) (fma (fma x 1/8 (- 1/2 y)) x (log 2))) (fma (fma x 1/8 (- 1/2 y)) x (log 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * [exit]simplify: Simplified to (pow (fma x (fma x 1/8 (- 1/2 y)) (log 2)) 3) * [exit]simplify: Simplified to (pow (fma x (fma x 1/8 (- 1/2 y)) (log 2)) 3) * * * * [misc]progress: [ 9 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (fma x 1/8 (- 1/2 y)) x (log 2))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (sqrt (fma x (- (fma 1/8 x 1/2) y) (log 2))) * [exit]simplify: Simplified to (sqrt (fma x (- (fma 1/8 x 1/2) y) (log 2))) * [enter]simplify: Simplifying (sqrt (fma (fma x 1/8 (- 1/2 y)) x (log 2))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (sqrt (fma x (- (fma 1/8 x 1/2) y) (log 2))) * [exit]simplify: Simplified to (sqrt (fma x (- (fma 1/8 x 1/2) y) (log 2))) * * * * [misc]progress: [ 10 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 13 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * * * * [misc]progress: [ 12 / 13 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* x (- (fma 1/8 x 1/2) y)) * * * * [misc]progress: [ 13 / 13 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (193 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 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) in y * [misc]taylor: Rewrote expression to (pow (pow (- (log1p (exp x)) (* y x)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (log1p (exp x)) (* y x)) 3)))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (log1p (exp x)) (* y x)) 3))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (log1p (exp x)) (* y x)) 3)) in y * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp x)) (* y x)) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp x)) (* y x))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp x)) (* y x)))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp x)) (* y x))) in y * [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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ 1 (exp x))) 0) into (log (+ 1 (exp x))) * [misc]backup-simplify: Simplify (log (log (+ 1 (exp x)))) into (log (log (+ 1 (exp x)))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ 1 (exp x))))) into (* 3 (log (log (+ 1 (exp x))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ 1 (exp x)))))) into (pow (log (+ 1 (exp x))) 3) * [misc]backup-simplify: Simplify (log (pow (log (+ 1 (exp x))) 3)) into (log (pow (log (+ 1 (exp x))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (log (+ 1 (exp x))) 3))) into (* 1/3 (log (pow (log (+ 1 (exp x))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (log (+ 1 (exp x))) 3)))) into (pow (pow (log (+ 1 (exp x))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (- (log1p (exp x)) (* y x)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (log1p (exp x)) (* y x)) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (log1p (exp x)) (* y x)) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (log1p (exp x)) (* y x)) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp x)) (* y x)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp x)) (* y x))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp x)) (* y x)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp x)) (* y x))) in 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]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]backup-simplify: Simplify (log (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 3 (log (log 2))) into (* 3 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log 2)))) into (pow (log 2) 3) * [misc]backup-simplify: Simplify (log (pow (log 2) 3)) into (log (pow (log 2) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (log 2) 3))) into (* 1/3 (log (pow (log 2) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (log 2) 3)))) into (pow (pow (log 2) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (- (log1p (exp x)) (* y x)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (log1p (exp x)) (* y x)) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (log1p (exp x)) (* y x)) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (log1p (exp x)) (* y x)) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp x)) (* y x)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp x)) (* y x))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp x)) (* y x)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp x)) (* y x))) in 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]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]backup-simplify: Simplify (log (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 3 (log (log 2))) into (* 3 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log 2)))) into (pow (log 2) 3) * [misc]backup-simplify: Simplify (log (pow (log 2) 3)) into (log (pow (log 2) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (log 2) 3))) into (* 1/3 (log (pow (log 2) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (log 2) 3)))) into (pow (pow (log 2) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (log 2) 3) 1/3) in y * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (log 2) 3)))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (log 2) 3))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (log 2) 3)) in y * [misc]taylor: Taking taylor expansion of (pow (log 2) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log 2))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log 2)) in y * [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 (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 3 (log (log 2))) into (* 3 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log 2)))) into (pow (log 2) 3) * [misc]backup-simplify: Simplify (log (pow (log 2) 3)) into (log (pow (log 2) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (log 2) 3))) into (* 1/3 (log (pow (log 2) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (log 2) 3)))) into (pow (pow (log 2) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (log 2) 3) 1/3) into (pow (pow (log 2) 3) 1/3) * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1/2 y)) 1)) (pow (log 2) 1)))) 1) into (- (* 1/2 (/ 1 (log 2))) (/ y (log 2))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 1/2 (/ 1 (log 2))) (/ y (log 2)))) (* 0 (log (log 2)))) into (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log 2)))) (+ (* (/ (pow (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) 1) 1)))) into (* (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) (pow (log 2) 3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) (pow (log 2) 3))) 1)) (pow (pow (log 2) 3) 1)))) 1) into (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2))))) (* 0 (log (pow (log 2) 3)))) into (- (* 1/2 (/ 1 (log 2))) (/ y (log 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (log 2) 3)))) (+ (* (/ (pow (- (* 1/2 (/ 1 (log 2))) (/ y (log 2))) 1) 1)))) into (* (log 2) (- (* 1/2 (/ 1 (log 2))) (/ y (log 2)))) * [misc]taylor: Taking taylor expansion of (* (log 2) (- (* 1/2 (/ 1 (log 2))) (/ y (log 2)))) in y * [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 (- (* 1/2 (/ 1 (log 2))) (/ y (log 2))) in y * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (log 2))) 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 (log 2)) in y * [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 (log 2)) into (/ 1 (log 2)) * [misc]taylor: Taking taylor expansion of (/ y (log 2)) 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 (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 (log 2)) into (/ 1 (log 2)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (log 2))) into (/ 1/2 (log 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (log 2)) 0) into (* 1/2 (/ 1 (log 2))) * [misc]backup-simplify: Simplify (* (log 2) (* 1/2 (/ 1 (log 2)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (log 2) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (log 2) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (log 2) 3)))) (+ (* (/ (pow 0 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1/2 y)) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (+ (/ y (pow (log 2) 2)) (* 1/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (pow (log 2) 2))) (/ (pow y 2) (pow (log 2) 2))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (+ (/ y (pow (log 2) 2)) (* 1/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (pow (log 2) 2))) (/ (pow y 2) (pow (log 2) 2)))))) (+ (* 0 (- (* 1/2 (/ 1 (log 2))) (/ y (log 2)))) (* 0 (log (log 2))))) into (- (+ (* 3/2 (/ y (pow (log 2) 2))) (* 3/8 (/ 1 (log 2)))) (+ (* 3/2 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (pow (log 2) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log 2)))) (+ (* (/ (pow (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ y (pow (log 2) 2))) (* 3/8 (/ 1 (log 2)))) (+ (* 3/2 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (pow (log 2) 2))))) 1) 1)))) into (* (- (+ (* 3/4 (/ 1 (pow (log 2) 2))) (+ (* 3 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) (* 3 (/ y (pow (log 2) 2)))) (pow (log 2) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) (pow (log 2) 3))) 2)) (pow (pow (log 2) 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* (- (+ (* 3/4 (/ 1 (pow (log 2) 2))) (+ (* 3 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) (* 3 (/ y (pow (log 2) 2)))) (pow (log 2) 3))) 1)) (pow (pow (log 2) 3) 1)))) 2) into (* 1/2 (- (+ (* 3 (/ y (pow (log 2) 2))) (* 3/4 (/ 1 (log 2)))) (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3 (/ (pow y 2) (pow (log 2) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (+ (* 3 (/ y (pow (log 2) 2))) (* 3/4 (/ 1 (log 2)))) (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3 (/ (pow y 2) (pow (log 2) 2))))))) (+ (* 0 (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2))))) (* 0 (log (pow (log 2) 3))))) into (- (+ (* 1/2 (/ y (pow (log 2) 2))) (* 1/8 (/ 1 (log 2)))) (+ (* 1/2 (/ (pow y 2) (pow (log 2) 2))) (* 1/8 (/ 1 (pow (log 2) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (log 2) 3)))) (+ (* (/ (pow (- (* 1/2 (/ 1 (log 2))) (/ y (log 2))) 2) 2)) (* (/ (pow (- (+ (* 1/2 (/ y (pow (log 2) 2))) (* 1/8 (/ 1 (log 2)))) (+ (* 1/2 (/ (pow y 2) (pow (log 2) 2))) (* 1/8 (/ 1 (pow (log 2) 2))))) 1) 1)))) 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)) (pow (pow (log 2) 3) 1/3))) into (+ (pow (pow (log 2) 3) 1/3) (+ (* 1/8 (pow x 2)) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)) in y * [misc]taylor: Rewrote expression to (pow (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)) in y * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in y * [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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 x))) (log y))) into (* 3 (- (log (- (/ 1 x))) (log y))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 x))) (log y)))) into (exp (* 3 (- (log (- (/ 1 x))) (log y)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (- (log (- (/ 1 x))) (log y))))) into (* 3 (- (log (- (/ 1 x))) (log y))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (- (log (- (/ 1 x))) (log y)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 x))) (log y))) into (exp (- (log (- (/ 1 x))) (log y))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in 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]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]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 y))) (log x))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 y))) (log x)))) into (exp (* 3 (- (log (- (/ 1 y))) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (- (log (- (/ 1 y))) (log x))))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (- (log (- (/ 1 y))) (log x)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in 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]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]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 y))) (log x))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 y))) (log x)))) into (exp (* 3 (- (log (- (/ 1 y))) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (- (log (- (/ 1 y))) (log x))))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (- (log (- (/ 1 y))) (log x)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) * [misc]taylor: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (* (log (+ 1 (exp (/ 1 x)))) y)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (- (log (- (/ 1 y))) (log x)))) into (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 1) 1)))) into (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x)))))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 1)))) 1) into (* -3 (* (log (+ 1 (exp (/ 1 x)))) y)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (* 3 (- (log (- (/ 1 y))) (log x))))) into (- (* (log (+ 1 (exp (/ 1 x)))) y)) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (- (* (log (+ 1 (exp (/ 1 x)))) y)) 1) 1)))) into (* -1 (* (log (+ 1 (exp (/ 1 x)))) (* y (exp (- (log (- (/ 1 y))) (log x)))))) * [misc]taylor: Taking taylor expansion of (* -1 (* (log (+ 1 (exp (/ 1 x)))) (* y (exp (- (log (- (/ 1 y))) (log 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 (* (log (+ 1 (exp (/ 1 x)))) (* y (exp (- (log (- (/ 1 y))) (log x))))) in y * [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]taylor: Taking taylor expansion of (* y (exp (- (log (- (/ 1 y))) (log 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 (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (* 0 (exp (- (log -1) (+ (log y) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (log (+ 1 (exp (/ 1 x)))) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 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) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) (+ (* 0 (* -1 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (- (log (- (/ 1 y))) (log x))))) into (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 2) 2)) (* (/ (pow (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 1) 1)))) into (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ 1 x)))) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x)))))))) 2)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ 1 x)))) 2))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 1)))) 2) into (* -3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) (+ (* 0 (* -3 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (* 3 (- (log (- (/ 1 y))) (log x)))))) into (- (* 1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (- (* (log (+ 1 (exp (/ 1 x)))) y)) 2) 2)) (* (/ (pow (- (* 1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 1) 1)))) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (exp (- (log -1) (+ (log y) (log x)))))) into (exp (- (log -1) (+ (log y) (log x)))) * [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 (+ (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x))))) (* 0 0)) into (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x))))) * [misc]backup-simplify: Simplify (+ (* -1 (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x)))))) (* 0 0)) into (- (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x)))))) * [misc]backup-simplify: Simplify (- (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x)))))) into (- (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x)))))) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 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 (- (+ (* 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/3 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/3 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) (+ (* 0 (* -1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) (+ (* 0 (* -1 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (- (log (- (/ 1 y))) (log x)))))) into (- (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 3) 6)) (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 1) 1) (/ (pow (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 1) 1)) (* (/ (pow (- (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) 1) 1)))) into (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ 1 x)))) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x)))))))) 3)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 3))) (* -3 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x)))))))) 1) (pow (* 2 (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ 1 x)))) 2))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ 1 x)))) 3))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 1)))) 6) into (* -1 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) (+ (* 0 (* -3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) (+ (* 0 (* -3 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (* 3 (- (log (- (/ 1 y))) (log x))))))) into (- (* 1/3 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (- (* (log (+ 1 (exp (/ 1 x)))) y)) 3) 6)) (* (/ (pow (- (* (log (+ 1 (exp (/ 1 x)))) y)) 1) 1) (/ (pow (- (* 1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 1) 1)) (* (/ (pow (- (* 1/3 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) 1) 1)))) 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 (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (- (log -1) (+ (log y) (log x))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* (log (+ 1 (exp (/ 1 x)))) 0) (+ (* 0 (exp (- (log -1) (+ (log y) (log x))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (log (+ 1 (exp (/ 1 x)))) (exp (- (log -1) (+ (log y) (log x)))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)))) (+ (* 0 (* -1/3 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) (+ (* 0 (* -1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) (+ (* 0 (* -1 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (- (log (- (/ 1 y))) (log x))))))) into (- (* 3/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 4) 24)) (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 2) 2) (/ (pow (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 1) 1)) (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 1) 1) (/ (pow (- (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) 1) 1)) (* (/ (pow (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 2) 2)) (* (/ (pow (- (* 3/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x)))))))) 4)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 4))) (* 12 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x)))))))) 2) (pow (* 2 (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ 1 x)))) 2))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ 1 x)))) 2))))) 2)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 2))) (* -4 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x)))))))) 1) 1 (pow (* 6 (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ 1 x)))) 3))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 1)))) 24) into (* -3/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)))) (+ (* 0 (* -1 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) (+ (* 0 (* -3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) (+ (* 0 (* -3 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (* 3 (- (log (- (/ 1 y))) (log x)))))))) into (- (* 1/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (- (* (log (+ 1 (exp (/ 1 x)))) y)) 4) 24)) (* (/ (pow (- (* (log (+ 1 (exp (/ 1 x)))) y)) 2) 2) (/ (pow (- (* 1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 1) 1)) (* (/ (pow (- (* (log (+ 1 (exp (/ 1 x)))) y)) 1) 1) (/ (pow (- (* 1/3 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) 1) 1)) (* (/ (pow (- (* 1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 2) 2)) (* (/ (pow (- (* 1/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)))) 1) 1)))) 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 (+ (* (- (* (log (+ 1 (exp (/ 1 (/ 1 x))))) (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))))) (* (/ 1 y) (/ 1 x))) (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x)))))) into (- (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (/ (* (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (log (+ 1 (exp x)))) (* y x))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)) in y * [misc]taylor: Rewrote expression to (pow (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)))) in y * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3))) in y * [misc]taylor: Taking taylor expansion of 1/3 in y * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)) in y * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 x))) (log y))) into (* 3 (- (log (- (/ 1 x))) (log y))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 x))) (log y)))) into (exp (* 3 (- (log (- (/ 1 x))) (log y)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (- (log (- (/ 1 x))) (log y))))) into (* 3 (- (log (- (/ 1 x))) (log y))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (- (log (- (/ 1 x))) (log y)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 x))) (log y))) into (exp (- (log (- (/ 1 x))) (log y))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in 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]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]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 y))) (log x))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 y))) (log x)))) into (exp (* 3 (- (log (- (/ 1 y))) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (- (log (- (/ 1 y))) (log x))))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (- (log (- (/ 1 y))) (log x)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in 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]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]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 y))) (log x))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 y))) (log x)))) into (exp (* 3 (- (log (- (/ 1 y))) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (- (log (- (/ 1 y))) (log x))))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (- (log (- (/ 1 y))) (log x)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) * [misc]taylor: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (* y (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (- (log (- (/ 1 y))) (log x)))) into (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 1) 1)))) into (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x)))))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 1)))) 1) into (* -3 (* y (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (* 3 (- (log (- (/ 1 y))) (log x))))) into (- (* y (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (- (* y (log (+ 1 (exp (/ -1 x)))))) 1) 1)))) into (* -1 (* y (* (exp (- (log (- (/ 1 y))) (log x))) (log (+ 1 (exp (/ -1 x))))))) * [misc]taylor: Taking taylor expansion of (* -1 (* y (* (exp (- (log (- (/ 1 y))) (log x))) (log (+ 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 (* y (* (exp (- (log (- (/ 1 y))) (log x))) (log (+ 1 (exp (/ -1 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 (* (exp (- (log (- (/ 1 y))) (log x))) (log (+ 1 (exp (/ -1 x))))) in y * [misc]taylor: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (exp (- (log -1) (+ (log y) (log x)))) into (exp (- (log -1) (+ (log y) (log 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 (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) into (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 0 (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 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) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) (+ (* 0 (* -1 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (- (log (- (/ 1 y))) (log x))))) into (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 2) 2)) (* (/ (pow (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 1) 1)))) into (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x)))))))) 2)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 1)))) 2) into (* -3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) (+ (* 0 (* -3 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (* 3 (- (log (- (/ 1 y))) (log x)))))) into (- (* 1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (- (* y (log (+ 1 (exp (/ -1 x)))))) 2) 2)) (* (/ (pow (- (* 1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 1) 1)))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log -1) (+ (log y) (log x)))) 0) (* 0 (log (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))))) into (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))) (* 0 0)) into (- (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (- (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))) into (- (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 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 (- 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/3 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/3 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) (+ (* 0 (* -1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) (+ (* 0 (* -1 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (- (log (- (/ 1 y))) (log x)))))) into (- (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 3) 6)) (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 1) 1) (/ (pow (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 1) 1)) (* (/ (pow (- (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) 1) 1)))) into (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x)))))))) 3)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 3))) (* -3 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x)))))))) 1) (pow (* 2 (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 1)))) 6) into (* -1 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) (+ (* 0 (* -3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) (+ (* 0 (* -3 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (* 3 (- (log (- (/ 1 y))) (log x))))))) into (- (* 1/3 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (- (* y (log (+ 1 (exp (/ -1 x)))))) 3) 6)) (* (/ (pow (- (* y (log (+ 1 (exp (/ -1 x)))))) 1) 1) (/ (pow (- (* 1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 1) 1)) (* (/ (pow (- (* 1/3 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) 1) 1)))) 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 (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log -1) (+ (log y) (log x)))) 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (exp (- (log -1) (+ (log y) (log x)))) (log (+ 1 (exp (/ -1 x)))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1) (+ (log y) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) (+ (* 0 (* -1/3 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) (+ (* 0 (* -1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) (+ (* 0 (* -1 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (- (log (- (/ 1 y))) (log x))))))) into (- (* 3/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 4) 24)) (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 2) 2) (/ (pow (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 1) 1)) (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 1) 1) (/ (pow (- (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) 1) 1)) (* (/ (pow (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 2) 2)) (* (/ (pow (- (* 3/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x)))))))) 4)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 4))) (* 12 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x)))))))) 2) (pow (* 2 (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2))))) 2)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 2))) (* -4 (/ (* (pow (* 1 (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x)))))))) 1) 1 (pow (* 6 (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))))) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (* 3 (- (log (- (/ 1 y))) (log x)))) 1)))) 24) into (* -3/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) (+ (* 0 (* -1 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) (+ (* 0 (* -3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) (+ (* 0 (* -3 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (* 3 (- (log (- (/ 1 y))) (log x)))))))) into (- (* 1/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) * [misc]backup-simplify: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (- (* y (log (+ 1 (exp (/ -1 x)))))) 4) 24)) (* (/ (pow (- (* y (log (+ 1 (exp (/ -1 x)))))) 2) 2) (/ (pow (- (* 1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 1) 1)) (* (/ (pow (- (* y (log (+ 1 (exp (/ -1 x)))))) 1) 1) (/ (pow (- (* 1/3 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) 1) 1)) (* (/ (pow (- (* 1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 2) 2)) (* (/ (pow (- (* 1/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) 1) 1)))) 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 (+ (* (- (* (exp (- (log -1) (+ (log (/ 1 (- y))) (log (/ 1 (- x)))))) (log (+ 1 (exp (/ -1 (/ 1 (- x)))))))) (* (/ 1 (- y)) (/ 1 (- x)))) (exp (- (log -1) (+ (log (/ 1 (- y))) (log (/ 1 (- x))))))) into (- (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (/ (* (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (log (+ 1 (exp x)))) (* y x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (pow (- (log1p (exp x)) (* y x)) 3) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp x)) (* y x)) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp x)) (* y x))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp x)) (* y x)))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp x)) (* y x))) in y * [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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ 1 (exp x))) 0) into (log (+ 1 (exp x))) * [misc]backup-simplify: Simplify (log (log (+ 1 (exp x)))) into (log (log (+ 1 (exp x)))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ 1 (exp x))))) into (* 3 (log (log (+ 1 (exp x))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ 1 (exp x)))))) into (pow (log (+ 1 (exp x))) 3) * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp x)) (* y x)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp x)) (* y x))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp x)) (* y x)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp x)) (* y x))) in 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]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]backup-simplify: Simplify (log (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 3 (log (log 2))) into (* 3 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log 2)))) into (pow (log 2) 3) * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp x)) (* y x)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp x)) (* y x))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp x)) (* y x)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp x)) (* y x))) in 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]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]backup-simplify: Simplify (log (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 3 (log (log 2))) into (* 3 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log 2)))) into (pow (log 2) 3) * [misc]taylor: Taking taylor expansion of (pow (log 2) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log 2))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log 2)) in y * [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 (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 3 (log (log 2))) into (* 3 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log 2)))) into (pow (log 2) 3) * [misc]backup-simplify: Simplify (pow (log 2) 3) into (pow (log 2) 3) * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1/2 y)) 1)) (pow (log 2) 1)))) 1) into (- (* 1/2 (/ 1 (log 2))) (/ y (log 2))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 1/2 (/ 1 (log 2))) (/ y (log 2)))) (* 0 (log (log 2)))) into (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log 2)))) (+ (* (/ (pow (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) 1) 1)))) into (* (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) (pow (log 2) 3)) * [misc]taylor: Taking taylor expansion of (* (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) (pow (log 2) 3)) in y * [misc]taylor: Taking taylor expansion of (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 3/2 (/ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of 3/2 in y * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]taylor: Taking taylor expansion of (/ 1 (log 2)) in y * [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 (log 2)) into (/ 1 (log 2)) * [misc]taylor: Taking taylor expansion of (* 3 (/ y (log 2))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ y (log 2)) 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 (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 (log 2)) into (/ 1 (log 2)) * [misc]taylor: Taking taylor expansion of (pow (log 2) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log 2))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log 2)) in y * [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 (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 3 (log (log 2))) into (* 3 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log 2)))) into (pow (log 2) 3) * [misc]backup-simplify: Simplify (* 3/2 (/ 1 (log 2))) into (/ 3/2 (log 2)) * [misc]backup-simplify: Simplify (+ (/ 3/2 (log 2)) 0) into (* 3/2 (/ 1 (log 2))) * [misc]backup-simplify: Simplify (* (* 3/2 (/ 1 (log 2))) (pow (log 2) 3)) into (* 3/2 (pow (log 2) 2)) * [misc]backup-simplify: Simplify (* 3/2 (pow (log 2) 2)) into (* 3/2 (pow (log 2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log 2)))) (+ (* (/ (pow 0 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1/2 y)) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (+ (/ y (pow (log 2) 2)) (* 1/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (pow (log 2) 2))) (/ (pow y 2) (pow (log 2) 2))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (+ (/ y (pow (log 2) 2)) (* 1/4 (/ 1 (log 2)))) (+ (* 1/4 (/ 1 (pow (log 2) 2))) (/ (pow y 2) (pow (log 2) 2)))))) (+ (* 0 (- (* 1/2 (/ 1 (log 2))) (/ y (log 2)))) (* 0 (log (log 2))))) into (- (+ (* 3/2 (/ y (pow (log 2) 2))) (* 3/8 (/ 1 (log 2)))) (+ (* 3/2 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (pow (log 2) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log 2)))) (+ (* (/ (pow (- (* 3/2 (/ 1 (log 2))) (* 3 (/ y (log 2)))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ y (pow (log 2) 2))) (* 3/8 (/ 1 (log 2)))) (+ (* 3/2 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (pow (log 2) 2))))) 1) 1)))) into (* (- (+ (* 3/4 (/ 1 (pow (log 2) 2))) (+ (* 3 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) (* 3 (/ y (pow (log 2) 2)))) (pow (log 2) 3)) * [misc]taylor: Taking taylor expansion of (* (- (+ (* 3/4 (/ 1 (pow (log 2) 2))) (+ (* 3 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) (* 3 (/ y (pow (log 2) 2)))) (pow (log 2) 3)) in y * [misc]taylor: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (log 2) 2))) (+ (* 3 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) (* 3 (/ y (pow (log 2) 2)))) in y * [misc]taylor: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow (log 2) 2))) (+ (* 3 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) in y * [misc]taylor: Taking taylor expansion of (* 3/4 (/ 1 (pow (log 2) 2))) in y * [misc]taylor: Taking taylor expansion of 3/4 in y * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (log 2) 2)) in y * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log 2))) 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 (log 2)) in y * [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 (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 2 (log (log 2))) into (* 2 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log 2)))) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (log 2) 2)) into (/ 1 (pow (log 2) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (pow y 2) (pow (log 2) 2))) (* 3/8 (/ 1 (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow y 2) (pow (log 2) 2))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow y 2) (pow (log 2) 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log 2))) 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 (log 2)) in y * [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 (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 2 (log (log 2))) into (* 2 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log 2)))) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (log 2) 2)) into (/ 1 (pow (log 2) 2)) * [misc]taylor: Taking taylor expansion of (* 3/8 (/ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of 3/8 in y * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (/ 1 (log 2)) in y * [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 (log 2)) into (/ 1 (log 2)) * [misc]taylor: Taking taylor expansion of (* 3 (/ y (pow (log 2) 2))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ y (pow (log 2) 2)) 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 (pow (log 2) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log 2))) 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 (log 2)) in y * [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 (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 2 (log (log 2))) into (* 2 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log 2)))) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (log 2) 2)) into (/ 1 (pow (log 2) 2)) * [misc]taylor: Taking taylor expansion of (pow (log 2) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log 2))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log 2)) in y * [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 (log 2)) into (log (log 2)) * [misc]backup-simplify: Simplify (* 3 (log (log 2))) into (* 3 (log (log 2))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log 2)))) into (pow (log 2) 3) * [misc]backup-simplify: Simplify (* 3/4 (/ 1 (pow (log 2) 2))) into (/ 3/4 (pow (log 2) 2)) * [misc]backup-simplify: Simplify (* 3/8 (/ 1 (log 2))) into (/ 3/8 (log 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 3/8 (log 2))) into (* 3/8 (/ 1 (log 2))) * [misc]backup-simplify: Simplify (+ (/ 3/4 (pow (log 2) 2)) (* 3/8 (/ 1 (log 2)))) into (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3/8 (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (+ (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3/8 (/ 1 (log 2)))) 0) into (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3/8 (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (* (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3/8 (/ 1 (log 2)))) (pow (log 2) 3)) into (* (pow (log 2) 3) (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (* (pow (log 2) 3) (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) into (* (pow (log 2) 3) (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (+ (* (* (pow (log 2) 3) (+ (* 3/4 (/ 1 (pow (log 2) 2))) (* 3/8 (/ 1 (log 2))))) (pow (* 1 x) 2)) (+ (* (* 3/2 (pow (log 2) 2)) (* 1 x)) (pow (log 2) 3))) into (+ (* 3/2 (* (pow (log 2) 2) x)) (+ (* 3/4 (* (log 2) (pow x 2))) (+ (pow (log 2) 3) (* 3/8 (* (pow (log 2) 2) (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in y * [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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 x))) (log y))) into (* 3 (- (log (- (/ 1 x))) (log y))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 x))) (log y)))) into (exp (* 3 (- (log (- (/ 1 x))) (log y)))) * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in 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]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]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 y))) (log x))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 y))) (log x)))) into (exp (* 3 (- (log (- (/ 1 y))) (log x)))) * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in 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]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]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 y))) (log x))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 y))) (log x)))) into (exp (* 3 (- (log (- (/ 1 y))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (- (/ 1 y))) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (+ (log y) (log x)))) into (* 3 (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (* (log (+ 1 (exp (/ 1 x)))) y)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (- (log (- (/ 1 y))) (log x)))) into (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 1) 1)))) into (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of -3 in y * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (- (/ 1 y))) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (+ (log y) (log x)))) into (* 3 (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [misc]taylor: Taking taylor expansion of (* y (log (+ 1 (exp (/ 1 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 (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 (* 0 (log (+ 1 (exp (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) 0) into 0 * [misc]backup-simplify: Simplify (* -3 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (+ (log y) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 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) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) (+ (* 0 (* -1 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (- (log (- (/ 1 y))) (log x))))) into (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 2) 2)) (* (/ (pow (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 1) 1)))) into (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ 1 x)))) 2)))) * [misc]taylor: Taking taylor expansion of (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ 1 x)))) 2)))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ 1 x)))) 2))) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (- (/ 1 y))) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (+ (log y) (log x)))) into (* 3 (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [misc]taylor: Taking taylor expansion of (* (pow y 2) (pow (log (+ 1 (exp (/ 1 x)))) 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ 1 x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ 1 (exp (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ 1 (exp (/ 1 x)))))) 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 (log (+ 1 (exp (/ 1 x))))) in y * [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 (log (log (+ 1 (exp (/ 1 x))))) into (log (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ 1 (exp (/ 1 x)))))) into (* 2 (log (log (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ 1 (exp (/ 1 x))))))) into (pow (log (+ 1 (exp (/ 1 x)))) 2) * [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 0) (* 1 (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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (+ (log y) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ 1 x))))) (* 0 0)) into (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (* -3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ 1 x)))))) (* 0 0)) into (- (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ 1 x))))))) * [misc]backup-simplify: Simplify (- (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ 1 x))))))) into (- (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ 1 x))))))) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log y) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 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 (- (+ (* 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/3 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/3 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) (+ (* 0 (* -1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) (+ (* 0 (* -1 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (- (log (- (/ 1 y))) (log x)))))) into (- (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 3) 6)) (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 1) 1) (/ (pow (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 1) 1)) (* (/ (pow (- (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) 1) 1)))) into (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ 1 x)))) 3)))) * [misc]taylor: Taking taylor expansion of (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ 1 x)))) 3)))) 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 (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ 1 x)))) 3))) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (- (/ 1 y))) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (+ (log y) (log x)))) into (* 3 (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [misc]taylor: Taking taylor expansion of (* (pow y 3) (pow (log (+ 1 (exp (/ 1 x)))) 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ 1 x)))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (+ 1 (exp (/ 1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log (+ 1 (exp (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (+ 1 (exp (/ 1 x))))) in y * [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 (log (log (+ 1 (exp (/ 1 x))))) into (log (log (+ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ 1 (exp (/ 1 x)))))) into (* 3 (log (log (+ 1 (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ 1 (exp (/ 1 x))))))) into (pow (log (+ 1 (exp (/ 1 x)))) 3) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 0) (+ (* 1 0) (* 0 (log (+ 1 (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log y) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) 0) (+ (* 0 (log (+ 1 (exp (/ 1 x))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ 1 x)))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log y) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (log (+ 1 (exp (/ 1 x))))) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)))) (+ (* 0 (* -1/3 (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3)))) (+ (* 0 (* -1/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) (+ (* 0 (* -1 (* (log (+ 1 (exp (/ 1 x)))) y))) (* 0 (- (log (- (/ 1 y))) (log x))))))) into (- (* 3/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 4) 24)) (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 2) 2) (/ (pow (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 1) 1)) (* (/ (pow (- (* 3 (* (log (+ 1 (exp (/ 1 x)))) y))) 1) 1) (/ (pow (- (* (pow (log (+ 1 (exp (/ 1 x)))) 3) (pow y 3))) 1) 1)) (* (/ (pow (- (* 3/2 (* (pow (log (+ 1 (exp (/ 1 x)))) 2) (pow y 2)))) 2) 2)) (* (/ (pow (- (* 3/4 (* (pow (log (+ 1 (exp (/ 1 x)))) 4) (pow y 4)))) 1) 1)))) 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 (pow (log (+ 1 (exp (/ 1 x)))) 2)) into (pow (log (+ 1 (exp (/ 1 x)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ 1 x)))) 2)) into (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ 1 x)))) 2)) * [misc]backup-simplify: Simplify (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ 1 x)))) 2))) into (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ 1 x)))) 2))) * [misc]backup-simplify: Simplify (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ 1 x)))) 2))) into (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ 1 x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (* 3 (* (exp (* 3 (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x)))))) (pow (log (+ 1 (exp (/ 1 (/ 1 x))))) 2))) (pow (* (/ 1 y) (/ 1 x)) 2)) (+ (* (- (* 3 (* (exp (* 3 (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x)))))) (log (+ 1 (exp (/ 1 (/ 1 x)))))))) (* (/ 1 y) (/ 1 x))) (exp (* 3 (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x)))))))) into (- (+ (* 3 (/ (* (pow (log (+ 1 (exp x))) 2) (exp (* 3 (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))))) (* (pow y 2) (pow x 2)))) (exp (* 3 (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))))) (* 3 (/ (* (log (+ 1 (exp x))) (exp (* 3 (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))))) (* y x)))) * [misc]approximate: Taking taylor expansion of (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 x))) (log y))) into (* 3 (- (log (- (/ 1 x))) (log y))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 x))) (log y)))) into (exp (* 3 (- (log (- (/ 1 x))) (log y)))) * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in 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]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]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 y))) (log x))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 y))) (log x)))) into (exp (* 3 (- (log (- (/ 1 y))) (log x)))) * [misc]taylor: Taking taylor expansion of (pow (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in 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]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]backup-simplify: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (* 3 (- (log (- (/ 1 y))) (log x))) into (* 3 (- (log (- (/ 1 y))) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (- (/ 1 y))) (log x)))) into (exp (* 3 (- (log (- (/ 1 y))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (- (/ 1 y))) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (+ (log y) (log x)))) into (* 3 (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (* y (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (- (log (- (/ 1 y))) (log x)))) into (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 1) 1)))) into (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x))))))) * [misc]taylor: Taking taylor expansion of (* -3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of -3 in y * [misc]backup-simplify: Simplify -3 into -3 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* y (log (+ 1 (exp (/ -1 x)))))) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (- (/ 1 y))) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (+ (log y) (log x)))) into (* 3 (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [misc]taylor: Taking taylor expansion of (* y (log (+ 1 (exp (/ -1 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 (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 (* 0 (log (+ 1 (exp (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) 0) into 0 * [misc]backup-simplify: Simplify (* -3 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (+ (log y) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 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) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) (+ (* 0 (* -1 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (- (log (- (/ 1 y))) (log x))))) into (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 2) 2)) (* (/ (pow (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 1) 1)))) into (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) * [misc]taylor: Taking taylor expansion of (* 3 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2))) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (- (/ 1 y))) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (+ (log y) (log x)))) into (* 3 (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [misc]taylor: Taking taylor expansion of (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ -1 x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ 1 (exp (/ -1 x)))))) 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 (log (+ 1 (exp (/ -1 x))))) in y * [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 (log (log (+ 1 (exp (/ -1 x))))) into (log (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ 1 (exp (/ -1 x)))))) into (* 2 (log (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ 1 (exp (/ -1 x))))))) into (pow (log (+ 1 (exp (/ -1 x)))) 2) * [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 0) (* 1 (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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (+ (log y) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ -1 x))))) (* 0 0)) into (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (+ (* -3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ -1 x)))))) (* 0 0)) into (- (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ -1 x))))))) * [misc]backup-simplify: Simplify (- (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ -1 x))))))) into (- (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ -1 x))))))) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log y) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 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 (- 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/3 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/3 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) (+ (* 0 (* -1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) (+ (* 0 (* -1 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (- (log (- (/ 1 y))) (log x)))))) into (- (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 3) 6)) (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 1) 1) (/ (pow (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 1) 1)) (* (/ (pow (- (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) 1) 1)))) into (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) * [misc]taylor: Taking taylor expansion of (* -1 (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) 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 (* 3 (- (log (- (/ 1 y))) (log x)))) (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (- (log (- (/ 1 y))) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 3 (- (log (- (/ 1 y))) (log x))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y * [misc]taylor: Taking taylor expansion of (log (- (/ 1 y))) in 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log y) (log x))) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (+ (log y) (log x)))) into (* 3 (- (log -1) (+ (log y) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (+ (log y) (log x))))) into (exp (* 3 (- (log -1) (+ (log y) (log x))))) * [misc]taylor: Taking taylor expansion of (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ 1 (exp (/ -1 x)))) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (+ 1 (exp (/ -1 x))))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log (+ 1 (exp (/ -1 x)))))) in y * [misc]taylor: Taking taylor expansion of 3 in y * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log (+ 1 (exp (/ -1 x))))) in y * [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 (log (log (+ 1 (exp (/ -1 x))))) into (log (log (+ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ 1 (exp (/ -1 x)))))) into (* 3 (log (log (+ 1 (exp (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ 1 (exp (/ -1 x))))))) into (pow (log (+ 1 (exp (/ -1 x)))) 3) * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 0) (+ (* 1 0) (* 0 (log (+ 1 (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log y) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) 0) (+ (* 0 (log (+ 1 (exp (/ -1 x))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 0) (+ (* 0 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (log (+ 1 (exp (/ -1 x)))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (+ (log y) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (log (+ 1 (exp (/ -1 x))))) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) (+ (* 0 (* -1/3 (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3)))) (+ (* 0 (* -1/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) (+ (* 0 (* -1 (* y (log (+ 1 (exp (/ -1 x))))))) (* 0 (- (log (- (/ 1 y))) (log x))))))) into (- (* 3/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (- (/ 1 y))) (log x)))) (+ (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 4) 24)) (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 2) 2) (/ (pow (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 1) 1)) (* (/ (pow (- (* 3 (* y (log (+ 1 (exp (/ -1 x))))))) 1) 1) (/ (pow (- (* (pow y 3) (pow (log (+ 1 (exp (/ -1 x)))) 3))) 1) 1)) (* (/ (pow (- (* 3/2 (* (pow y 2) (pow (log (+ 1 (exp (/ -1 x)))) 2)))) 2) 2)) (* (/ (pow (- (* 3/4 (* (pow y 4) (pow (log (+ 1 (exp (/ -1 x)))) 4)))) 1) 1)))) 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 (pow (log (+ 1 (exp (/ -1 x)))) 2)) into (pow (log (+ 1 (exp (/ -1 x)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ -1 x)))) 2)) into (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ -1 x)))) 2)) * [misc]backup-simplify: Simplify (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ -1 x)))) 2))) into (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ -1 x)))) 2))) * [misc]backup-simplify: Simplify (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ -1 x)))) 2))) into (* 3 (* (exp (* 3 (- (log -1) (+ (log y) (log x))))) (pow (log (+ 1 (exp (/ -1 x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (* 3 (* (exp (* 3 (- (log -1) (+ (log (/ 1 (- y))) (log (/ 1 (- x))))))) (pow (log (+ 1 (exp (/ -1 (/ 1 (- x)))))) 2))) (pow (* (/ 1 (- y)) (/ 1 (- x))) 2)) (+ (* (- (* 3 (* (exp (* 3 (- (log -1) (+ (log (/ 1 (- y))) (log (/ 1 (- x))))))) (log (+ 1 (exp (/ -1 (/ 1 (- x))))))))) (* (/ 1 (- y)) (/ 1 (- x)))) (exp (* 3 (- (log -1) (+ (log (/ 1 (- y))) (log (/ 1 (- x))))))))) into (- (+ (* 3 (/ (* (pow (log (+ 1 (exp x))) 2) (exp (* 3 (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))))) (* (pow y 2) (pow x 2)))) (exp (* 3 (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))))) (* 3 (/ (* (log (+ 1 (exp x))) (exp (* 3 (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))))) (* y x)))) * * * * [misc]progress: [ 3 / 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: [ 4 / 4 ] generating series at (2 1 1) * [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 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 2 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 3 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 6 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 7 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (327 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 (pow (cbrt (- (log1p (exp x)) (* y x))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 8 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (- (log1p (exp x)) (* y x))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (- (log1p (exp x)) (* y x))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 9 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 10 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * [exit]simplify: Simplified to (cbrt (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (cbrt (* (- (log1p (exp x)) (* y x)) (- (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 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 11 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) (cbrt (pow (- (log1p (exp x)) (* y x)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (cbrt (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (cbrt (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 12 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (327 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 (pow (cbrt (- (log1p (exp x)) (* y x))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 13 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (- (log1p (exp x)) (* y x))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (- (log1p (exp x)) (* y x))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 14 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 15 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [enter]simplify: Simplifying (cbrt (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * [exit]simplify: Simplified to (cbrt (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (cbrt (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 16 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (- (log1p (exp x)) (* y x)) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (- (log1p (exp x)) (* y x)) 3))) * [enter]simplify: Simplifying (cbrt (sqrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (- (log1p (exp x)) (* y x)) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (- (log1p (exp x)) (* y x)) 3))) * * * * [misc]progress: [ 17 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 18 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (pow (log1p (exp x)) 3) (pow (* y x) 3)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (314 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 (cbrt (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (479 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: [ 19 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (332 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 (cbrt (pow (+ (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * * * * [misc]progress: [ 20 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) (cbrt (cbrt (pow (- (log1p (exp x)) (* y x)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (148 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 (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 21 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (132 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: [ 22 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (147 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 (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 24 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * [exit]simplify: Simplified to (expm1 (pow (- (log1p (exp x)) (* y x)) 3)) * [exit]simplify: Simplified to (expm1 (pow (- (log1p (exp x)) (* y x)) 3)) * * * * [misc]progress: [ 26 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * [exit]simplify: Simplified to (log1p (pow (- (log1p (exp x)) (* y x)) 3)) * [exit]simplify: Simplified to (log1p (pow (- (log1p (exp x)) (* y x)) 3)) * * * * [misc]progress: [ 27 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (log1p (exp x)) (* y x))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* 3 (log (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (* 3 (log (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 28 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (log1p (exp x)) (* y x))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* 3 (log (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (* 3 (log (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 29 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 30 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * [enter]simplify: Simplifying (pow (cbrt (- (log1p (exp x)) (* y x))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 31 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (log1p (exp x)) (* y x))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (* (sqrt (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))) * [enter]simplify: Simplifying (pow (sqrt (- (log1p (exp x)) (* y x))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (* (sqrt (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 32 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (log1p (exp x)) (* y x)) 3) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (129 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: [ 33 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 34 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * [exit]simplify: Simplified to (* 3 (log (- (log1p (exp x)) (* y x)))) * [exit]simplify: Simplified to (* 3 (log (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 36 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * [exit]simplify: Simplified to (exp (pow (- (log1p (exp x)) (* y x)) 3)) * [exit]simplify: Simplified to (exp (pow (- (log1p (exp x)) (* y x)) 3)) * * * * [misc]progress: [ 37 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) (cbrt (pow (- (log1p (exp x)) (* y x)) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * [enter]simplify: Simplifying (cbrt (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 38 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (- (log1p (exp x)) (* y x)) 3) (pow (- (log1p (exp x)) (* y x)) 3)) (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (pow (pow (- (log1p (exp x)) (* y x)) 3) 3) * [exit]simplify: Simplified to (pow (pow (- (log1p (exp x)) (* y x)) 3) 3) * * * * [misc]progress: [ 39 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * [enter]simplify: Simplifying (pow (cbrt (- (log1p (exp x)) (* y x))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 40 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (log1p (exp x)) (* y x))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (* (sqrt (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))) * [enter]simplify: Simplifying (pow (sqrt (- (log1p (exp x)) (* y x))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (* (sqrt (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 41 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (- (log1p (exp x)) (* y x)) 3) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (129 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: [ 42 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (pow (log1p (exp x)) 3) (pow (* y x) 3)) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (pow (fma (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)) (* (* (* y x) (* y x)) (* (- y) x))) 3) * [exit]simplify: Simplified to (pow (fma (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)) (* (* (* y x) (* y x)) (* (- y) x))) 3) * [enter]simplify: Simplifying (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (pow (fma (* x y) (fma x y (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) 3) * [exit]simplify: Simplified to (pow (fma (* x y) (fma x y (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) 3) * * * * [misc]progress: [ 43 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (pow (- (* (log1p (exp x)) (log1p (exp x))) (* (* x y) (* x y))) 3) * [exit]simplify: Simplified to (pow (- (* (log1p (exp x)) (log1p (exp x))) (* (* x y) (* x y))) 3) * [enter]simplify: Simplifying (pow (+ (log1p (exp x)) (* y x)) 3) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (pow (fma y x (log1p (exp x))) 3) * [exit]simplify: Simplified to (pow (fma y x (log1p (exp x))) 3) * * * * [misc]progress: [ 44 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 45 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * [exit]simplify: Simplified to (sqrt (pow (- (log1p (exp x)) (* y x)) 3)) * [exit]simplify: Simplified to (sqrt (pow (- (log1p (exp x)) (* y x)) 3)) * [enter]simplify: Simplifying (sqrt (pow (- (log1p (exp x)) (* y x)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * [exit]simplify: Simplified to (sqrt (pow (- (log1p (exp x)) (* y x)) 3)) * [exit]simplify: Simplified to (sqrt (pow (- (log1p (exp x)) (* y x)) 3)) * * * * [misc]progress: [ 47 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 91 ] 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: [ 49 / 91 ] 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: [ 50 / 91 ] 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: [ 51 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 91 ] 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: [ 54 / 91 ] 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: [ 55 / 91 ] 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: [ 56 / 91 ] 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: [ 57 / 91 ] 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: [ 58 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [exit]simplify: Simplified to (- (* x y) (* x y)) * * * * [misc]progress: [ 60 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [exit]simplify: Simplified to (- (* x y) (* x y)) * * * * [misc]progress: [ 61 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (exp x)) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [exit]simplify: Simplified to (- (* x y) (* x y)) * * * * [misc]progress: [ 62 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (expm1 (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 63 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log1p (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 64 / 91 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 65 / 91 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 66 / 91 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 67 / 91 ] 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: [ 68 / 91 ] 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) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* x y))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* x y))) * * * * [misc]progress: [ 69 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (log (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 71 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 72 / 91 ] 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 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 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 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (cbrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 73 / 91 ] 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 (12 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (129 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: [ 74 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 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 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 75 / 91 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (325 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 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (135 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: [ 76 / 91 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 77 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 91 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (384 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: [ 79 / 91 ] 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 (11 enodes) * [exit]simplify: Simplified to (* y (- x)) * [exit]simplify: Simplified to (* y (- x)) * * * * [misc]progress: [ 80 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (pow (log 2) 3) 1/3) (+ (* 1/8 (pow x 2)) (* 1/2 x))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * * * * [misc]progress: [ 81 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (/ (* (exp (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))) (log (+ 1 (exp x)))) (* y x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * [exit]simplify: Simplified to (fma (/ (* y x) (* y x)) (log1p (exp x)) (- (* y x))) * * * * [misc]progress: [ 82 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (/ (* (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (log (+ 1 (exp x)))) (* y x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (fma (/ (* (/ x -1) y) (* y x)) (- (log1p (exp x))) (* (/ x -1) y)) * * * * [misc]progress: [ 83 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 3/2 (* (pow (log 2) 2) x)) (+ (* 3/4 (* (log 2) (pow x 2))) (+ (pow (log 2) 3) (* 3/8 (* (pow (log 2) 2) (pow x 2))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (cbrt (fma (log 2) (fma (* x x) 3/4 (* (log 2) (log 2))) (* (* (log 2) (log 2)) (fma (* x 3/8) x (* 3/2 x))))) * * * * [misc]progress: [ 84 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (* 3 (/ (* (pow (log (+ 1 (exp x))) 2) (exp (* 3 (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))))) (* (pow y 2) (pow x 2)))) (exp (* 3 (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))))) (* 3 (/ (* (log (+ 1 (exp x))) (exp (* 3 (- (log -1) (+ (log (/ 1 y)) (log (/ 1 x))))))) (* y x))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (cbrt (fma 3 (* (* (/ (log1p (exp x)) (* y (* x y))) (/ (log1p (exp x)) x)) (pow (exp 3) (+ (+ (log x) (log y)) (log -1)))) (- (pow (exp 3) (+ (+ (log x) (log y)) (log -1))) (* (/ (* (log1p (exp x)) 3) (* x y)) (pow (exp 3) (+ (+ (log x) (log y)) (log -1))))))) * * * * [misc]progress: [ 85 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (* 3 (/ (* (pow (log (+ 1 (exp x))) 2) (exp (* 3 (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))))) (* (pow y 2) (pow x 2)))) (exp (* 3 (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))))) (* 3 (/ (* (log (+ 1 (exp x))) (exp (* 3 (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))))) (* y x))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ 3 (* x x)) (* (* (/ (log1p (exp x)) y) (/ (log1p (exp x)) y)) (pow (exp 3) (- (+ 0 (log y)) (log (/ -1 x))))) (- (pow (exp 3) (- (+ 0 (log y)) (log (/ -1 x)))) (* (* 3 (/ (log1p (exp x)) (* x y))) (pow (exp 3) (- (+ 0 (log y)) (log (/ -1 x)))))))) * * * * [misc]progress: [ 86 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) (* y x)) 3)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * [exit]simplify: Simplified to (+ (fma (* x x) 1/8 (log 2)) (* x (- 1/2 y))) * * * * [misc]progress: [ 87 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (log (+ 1 (exp x))) (* y x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 88 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (log (+ 1 (exp x))) (* y x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 89 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (log 2)) * * * * [misc]progress: [ 90 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (log (+ 1 (exp x))) (* y x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]progress: [ 91 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (log (+ 1 (exp x))) (* y x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * [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)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (log1p (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * [enter]simplify: Simplifying (* y x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x y) * [exit]simplify: Simplified to (* x y) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2457 additional inputs, on iter 1 have 5543 / 8000 * * * * [misc]points: Computing exacts on every 153 of 2457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 76 of 2457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 38 of 2457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 19 of 2457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 9 of 2457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 2457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 2457 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 2457 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 747 additional inputs, on iter 2 have 7253 / 8000 * * * * [misc]points: Computing exacts on every 46 of 747 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 23 of 747 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 11 of 747 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 747 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 747 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 747 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 219 additional inputs, on iter 3 have 7781 / 8000 * * * * [misc]points: Computing exacts on every 13 of 219 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 219 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 219 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 219 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 77 additional inputs, on iter 4 have 7923 / 8000 * * * * [misc]points: Computing exacts on every 4 of 77 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 77 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 77 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 26 additional inputs, on iter 5 have 7974 / 8000 * * * * [misc]points: Computing exacts for 26 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 6 have 7989 / 8000 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8002 points with exact outputs