* [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 68 additional inputs, on iter 1 have 188 / 256 * * * * [misc]points: Computing exacts on every 4 of 68 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 68 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 68 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 21 additional inputs, on iter 2 have 235 / 256 * * * * [misc]points: Computing exacts for 21 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 6 additional inputs, on iter 3 have 250 / 256 * * * * [misc]points: Computing exacts for 6 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 4 additional inputs, on iter 4 have 255 / 256 * * * * [misc]points: Computing exacts for 4 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 258 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) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log1p (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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [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 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) * * * * [misc]progress: [ 2 / 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 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 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)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* 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)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 2 / 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)) (* y x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* 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)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 3 / 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)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log1p (exp x)) (* x y)) (fma (- x) y (* 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)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* x y)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 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)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))) * * * * [misc]progress: [ 7 / 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))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x)))) * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 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))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (+ 1 (exp x)) (exp (* x y))))) * * * * [misc]progress: [ 10 / 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)) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (exp (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma x (fma 1/8 x 1/2) (log 2))) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [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 (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x))) in y * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) in y * [misc]taylor: Taking taylor expansion of (* (log1p (exp x)) (log1p (exp 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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (* (* y x) (* y x)) in y * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* 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 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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [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 (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2) * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2) * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp x) 1)) 0) into (log (+ (exp x) 1)) * [misc]backup-simplify: Simplify (/ (pow (log (+ (exp x) 1)) 2) (log (+ (exp x) 1))) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x))) in x * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp x)) (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]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) (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 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 (* (log 2) (log 2)) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (pow (log 2) 2) (log 2)) into (log 2) * [misc]taylor: Taking taylor expansion of (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x))) in x * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp x)) (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]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) (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 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 (* (log 2) (log 2)) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (pow (log 2) 2) (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 (* (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 (* (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 (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2) * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (+ (* 0 y) (* 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 (* (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 (+ 1/2 y) into (+ y 1/2) * [misc]backup-simplify: Simplify (- (/ (log 2) (log 2)) (+ (* (log 2) (/ (+ y 1/2) (log 2))))) 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 (* (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 (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* y y) (* 0 0))) into (pow y 2) * [misc]backup-simplify: Simplify (- (pow y 2)) into (- (pow y 2)) * [misc]backup-simplify: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (- (pow y 2))) into (- (+ (* 1/4 (log 2)) 1/4) (pow y 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 (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/4 (log 2)) 1/4) (pow y 2)) (log 2)) (+ (* (log 2) (/ 1/8 (log 2))) (* (- 1/2 y) (/ (+ y 1/2) (log 2))))) 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 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (/ (- (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (+ (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (+ (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 x))) (log1p (exp (/ 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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ 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 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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow x 2))) (/ 1 x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (- (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (+ (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow y 2))) (/ 1 y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ (- (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (+ (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow y 2))) (/ 1 y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ -1 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 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 (/ 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 (- (+ (* 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 (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ (log (+ (exp (/ 1 x)) 1)) (/ 1 y))))) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [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 (- (+ (* 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ (pow (log (+ (exp (/ 1 x)) 1)) 2) (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ 1 x)) 1)) (/ (log (+ (exp (/ 1 x)) 1)) (/ 1 y))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) 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 (- (+ (* 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ 1 x)) 1)) (/ 0 (/ 1 y))) (* 0 (/ (log (+ (exp (/ 1 x)) 1)) (/ 1 y))))) 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 (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) 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 (- (+ (* 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ 1 x)) 1)) (/ 0 (/ 1 y))) (* 0 (/ 0 (/ 1 y))) (* 0 (/ (log (+ (exp (/ 1 x)) 1)) (/ 1 y))))) 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 (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y)) * [misc]approximate: Taking taylor expansion of (/ (- (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) (+ (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) (+ (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ 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 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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow x 2))) (/ 1 x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (- (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) (+ (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow y 2))) (/ 1 y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ (- (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) (+ (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow y 2))) (/ 1 y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ -1 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 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) 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 (- 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 (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) 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) 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 (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ (log (+ (exp (/ -1 x)) 1)) (/ 1 y))))) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ (pow (log (+ (exp (/ -1 x)) 1)) 2) (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ -1 x)) 1)) (/ (log (+ (exp (/ -1 x)) 1)) (/ 1 y))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 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 (- 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 (- 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ -1 x)) 1)) (/ 0 (/ 1 y))) (* 0 (/ (log (+ (exp (/ -1 x)) 1)) (/ 1 y))))) 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 (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 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 (- 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 (- 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ -1 x)) 1)) (/ 0 (/ 1 y))) (* 0 (/ 0 (/ 1 y))) (* 0 (/ (log (+ (exp (/ -1 x)) 1)) (/ 1 y))))) 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 (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) in y * [misc]taylor: Taking taylor expansion of (* (log1p (exp x)) (log1p (exp 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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (* (* y x) (* y x)) in y * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* 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)) (log1p (exp x))) (* (* y x) (* y x))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp x)) (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]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) (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 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)) (log1p (exp x))) (* (* y x) (* y x))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp x)) (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]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) (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 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 (* (log 2) (log 2)) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2) * [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 (pow (log 2) 2) into (pow (log 2) 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 (* (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 (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2) * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (+ (* 0 y) (* 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 (/ (+ (* 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 (+ (* 2 0) (* 0 (log (log 2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (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 (* (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 (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* y y) (* 0 0))) into (pow y 2) * [misc]backup-simplify: Simplify (- (pow y 2)) into (- (pow y 2)) * [misc]backup-simplify: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (- (pow y 2))) into (- (+ (* 1/4 (log 2)) 1/4) (pow y 2)) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (log 2)) 1/4) (pow y 2)) in y * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (log 2)) 1/4) in y * [misc]taylor: Taking taylor expansion of (* 1/4 (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 (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 1/4 in y * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]backup-simplify: Simplify (* 1/4 (log 2)) into (* 1/4 (log 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (+ (* 1/4 (log 2)) 1/4) 0) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/4 (log 2)) 1/4) (pow (* 1 x) 2)) (+ (* (log 2) (* 1 x)) (pow (log 2) 2))) into (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) * [misc]approximate: Taking taylor expansion of (- (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 x))) (log1p (exp (/ 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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ 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))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 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))) (log1p (exp (/ 1 x)))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 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) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow y 2))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [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 (- (+ (* 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 (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [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 (- (+ (* 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]taylor: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ (exp (/ 1 x)) 1))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ (exp (/ 1 x)) 1)))) 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 (+ (exp (/ 1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ (exp (/ 1 x)) 1)))) into (* 2 (log (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) 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 (- (+ (* 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) 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)) (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) 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 (- (+ (* 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) 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 (pow (log (+ (exp (/ 1 x)) 1)) 2) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))))) 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 (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (+ (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) (* -1 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2))) into (- (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2))) * [misc]approximate: Taking taylor expansion of (- (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ 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)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 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)))) (log1p (exp (/ 1 (- x))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 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) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow y 2))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [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 (- 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 (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]taylor: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ (exp (/ -1 x)) 1))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ (exp (/ -1 x)) 1)))) 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 (+ (exp (/ -1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ (exp (/ -1 x)) 1)))) into (* 2 (log (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 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 (- 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 (- 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) 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)) (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 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 (- 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 (- 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 (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) 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 (pow (log (+ (exp (/ -1 x)) 1)) 2) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 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 (- 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)) (* 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 (- 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))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- 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)) (* 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 (- 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))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))))) 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 (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (+ (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) (* -1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2))) into (- (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [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 (+ (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 (+ 1/2 y) into (+ y 1/2) * [misc]taylor: Taking taylor expansion of (+ y 1/2) 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 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) 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 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 (+ 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 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ 0 (/ 1 y)) into (/ 1 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 (/ 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 (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 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 (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 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 (+ (exp (/ 1 (/ 1 x))) 1)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (log (+ (exp x) 1)) (* x y)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ 0 (/ 1 y)) into (/ 1 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 (- 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 (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 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 (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 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 (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (log (+ (exp x) 1)) (* x y)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (log1p (exp x)) (log1p (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (log1p (exp x)) (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]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)) (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]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) (log 2)) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (pow (log 2) 2) into (pow (log 2) 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 (* (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 (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (* (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 (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/4 (log 2)) 1/4) (pow x 2)) (+ (* (log 2) x) (pow (log 2) 2))) into (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) * [misc]approximate: Taking taylor expansion of (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 2) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 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 (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 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 (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 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 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) 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 (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))))) 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 (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) into (pow (log (+ (exp x) 1)) 2) * [misc]approximate: Taking taylor expansion of (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 2) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 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 (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 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 (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 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 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) 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 (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))))) 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 (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) into (pow (log (+ (exp x) 1)) 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (log (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (- (log (- (log1p (exp x)) (* y x))) 0) * [misc]simplify: Simplified (2 1) to (λ (x y) (exp (- (log (- (log1p (exp x)) (* y x))) 0))) * * * * [misc]progress: [ 5 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (* (* (+ (log1p (exp x)) (* y x)) (+ (log1p (exp x)) (* y x))) (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (pow (* 1 (- (log1p (exp x)) (* y x))) 3) * [misc]simplify: Simplified (2 1) to (λ (x y) (cbrt (pow (* 1 (- (log1p (exp x)) (* y x))) 3))) * * * * [misc]progress: [ 8 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (log1p (exp x)) (log1p (exp 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 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (log1p (exp x)) (log1p (exp x))) (fma x y (log1p (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (/ (* (log1p (exp x)) (log1p (exp x))) (fma x y (log1p (exp x)))) (/ (* (* y x) (* y x)) (+ (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 13 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) (* (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (+ (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x))))) (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x))))) (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x)))))) (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (+ (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x))))) (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x)))))) (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x))))))) * * * * [misc]progress: [ 14 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) (sqrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (/ (sqrt (fma x y (log1p (exp x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (/ (sqrt (fma x y (log1p (exp x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))))) (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (+ (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (fma x y (log1p (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (/ (sqrt (fma x y (log1p (exp x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))))) (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (fma x y (log1p (exp x))))))) * * * * [misc]progress: [ 15 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (+ (log1p (exp x)) (* y x))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (+ (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (fma x y (log1p (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) (/ (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (fma x y (log1p (exp x)))))) * * * * [misc]progress: [ 16 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (* (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (+ (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (* (cbrt (fma x y (log1p (exp x)))) (cbrt (fma x y (log1p (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (* (cbrt (fma x y (log1p (exp x)))) (cbrt (fma x y (log1p (exp x)))))) (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (+ (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (* (cbrt (fma x y (log1p (exp x)))) (cbrt (fma x y (log1p (exp x)))))) (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (fma x y (log1p (exp x))))))) * * * * [misc]progress: [ 17 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (fma x y (log1p (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (fma x y (log1p (exp x))))) (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (+ (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (fma x y (log1p (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (fma x y (log1p (exp x))))) (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (fma x y (log1p (exp x))))))) * * * * [misc]progress: [ 18 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (+ (log1p (exp x)) (* y x))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (+ (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (fma x y (log1p (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (fma x y (log1p (exp x)))))) * * * * [misc]progress: [ 19 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (+ (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fma y x (log1p (exp x)))) (cbrt (fma y x (log1p (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ 1 (* (cbrt (fma y x (log1p (exp x)))) (cbrt (fma y x (log1p (exp x)))))) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (cbrt (+ (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (cbrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (cbrt (fma x y (log1p (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ 1 (* (cbrt (fma y x (log1p (exp x)))) (cbrt (fma y x (log1p (exp x)))))) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (cbrt (fma x y (log1p (exp x))))))) * * * * [misc]progress: [ 20 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (fma y x (log1p (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ 1 (sqrt (fma y x (log1p (exp x))))) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (sqrt (+ (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (sqrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (sqrt (fma x y (log1p (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ 1 (sqrt (fma y x (log1p (exp x))))) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (sqrt (fma x y (log1p (exp x))))))) * * * * [misc]progress: [ 21 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x y) (* 1 (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp 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 (24 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* 1 (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 22 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log1p (exp x)) (* y x)) (* (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (+ (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (fma y x (log1p (exp x))) (cbrt (fma y x (log1p (exp x))))) (cbrt (fma y x (log1p (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (/ (fma y x (log1p (exp x))) (cbrt (fma y x (log1p (exp x))))) (cbrt (fma y x (log1p (exp x))))) (/ (- (log1p (exp x)) (* y x)) (cbrt (+ (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (- (log1p (exp x)) (* y x)) (cbrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (- (log1p (exp x)) (* y x)) (cbrt (fma y x (log1p (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (/ (fma y x (log1p (exp x))) (cbrt (fma y x (log1p (exp x))))) (cbrt (fma y x (log1p (exp x))))) (/ (- (log1p (exp x)) (* y x)) (cbrt (fma y x (log1p (exp x))))))) * * * * [misc]progress: [ 23 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log1p (exp x)) (* y x)) (sqrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (fma y x (log1p (exp x))) (sqrt (fma y x (log1p (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (fma y x (log1p (exp x))) (sqrt (fma y x (log1p (exp x))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (- (log1p (exp x)) (* y x)) (sqrt (fma y x (log1p (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (fma y x (log1p (exp x))) (sqrt (fma y x (log1p (exp x))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (fma y x (log1p (exp x))))))) * * * * [misc]progress: [ 24 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log1p (exp x)) (* y x)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (fma y x (log1p (exp x))) (/ (- (log1p (exp x)) (* y x)) (+ (log1p (exp x)) (* y x))))) * [enter]simplify: Simplifying (/ (- (log1p (exp x)) (* y x)) (+ (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (log1p (exp x)) (* y x)) (fma y x (log1p (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (fma y x (log1p (exp x))) (/ (- (log1p (exp x)) (* y x)) (fma y x (log1p (exp x)))))) * * * * [misc]progress: [ 25 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (fma y x (log1p (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (* (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (+ (log1p (exp x)) (* y x))))) (cbrt (fma y x (log1p (exp x)))))) * * * * [misc]progress: [ 29 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (fma y x (log1p (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (sqrt (+ (log1p (exp x)) (* y x)))) (sqrt (fma y x (log1p (exp x)))))) * * * * [misc]progress: [ 30 / 106 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) 1) (fma y x (log1p (exp x))))) * * * * [misc]progress: [ 31 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (* (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) (/ (+ (log1p (exp x)) (* y x)) (cbrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))))) * * * * [misc]progress: [ 32 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (/ (+ (log1p (exp x)) (* y x)) (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))))) * * * * [misc]progress: [ 33 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 106 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 35 / 106 ] simplifiying candidate # * [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 (27 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (fma (- (* y x) (log1p (exp x))) (* y x) (* (log1p (exp x)) (log1p (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (pow (log1p (exp x)) 3) (pow (* y x) 3))) (fma (- (* y x) (log1p (exp x))) (* y x) (* (log1p (exp x)) (log1p (exp x)))))) * * * * [misc]progress: [ 36 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (exp x)) (* y x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (- (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 37 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (* (* y x) (* y x)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (fma (pow (log1p (exp x)) 3) (pow (log1p (exp x)) 3) (* (* (* (* x y) (* x y)) (* x y)) (* (* y (- x)) (* (* x y) (* x y))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (fma (pow (log1p (exp x)) 3) (pow (log1p (exp x)) 3) (* (* (* (* x y) (* x y)) (* x y)) (* (* y (- x)) (* (* x y) (* x y))))) (* (+ (log1p (exp x)) (* y x)) (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (+ (* (* (* y x) (* y x)) (* (* y x) (* y x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))))))) * * * * [misc]progress: [ 38 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* y x) (* y x)) (* (* y x) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (fma (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x))) (* (- (* y x)) (pow (* y x) 3))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (fma (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x))) (* (- (* y x)) (pow (* y x) 3))) (* (+ (log1p (exp x)) (* y x)) (+ (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))))) * * * * [misc]progress: [ 39 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log1p (exp x)) (log1p (exp x)) (- (* (* y x) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (+ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (fma (- (* y x)) (* y x) (* (* y x) (* y x)))) (+ (log1p (exp x)) (* y x)))) * [enter]simplify: Simplifying (fma (- (* y x)) (* y x) (* (* y x) (* y x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (x y) (/ (+ (fma (log1p (exp x)) (log1p (exp x)) (- (* (* y x) (* y x)))) 0) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 40 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (fma (log1p (exp x)) (log1p (exp x)) (- (* (* y x) (* y x)))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 43 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (log1p (exp x)) (log1p (exp x)))) (exp (* (* y x) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (exp (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (log (exp (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 44 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 106 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (* (fma y x (log1p (exp x))) (- (log1p (exp x)) (* y x))) (+ (log1p (exp x)) (* y x)))) * [enter]simplify: Simplifying (- (log1p (exp x)) (* y x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (/ (* (fma y x (log1p (exp x))) (- (log1p (exp x)) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 55 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 106 ] 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)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (* y x)))) * * * * [misc]progress: [ 59 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (* y x)))) * * * * [misc]progress: [ 60 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (exp x)) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (fma (exp x) (exp (* x y)) (exp (* x y))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (log (fma (exp x) (exp (* x y)) (exp (* x y)))))) * * * * [misc]progress: [ 62 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (log1p (exp x))) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (exp (fma x y (log1p (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (log (exp (fma x y (log1p (exp x))))))) * * * * [misc]progress: [ 63 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (pow (log1p (exp x)) (+ 1 1)) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (pow (log1p (exp x)) (+ 1 1)) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 76 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (exp x)) (log1p (exp x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (log1p (exp x)) (log1p (exp x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (pow (* (log1p (exp x)) (log1p (exp x))) 1) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 77 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (pow (log1p (exp x)) (+ 1 1)) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 79 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (log1p (exp x))) (log (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (+ (log (log1p (exp x))) (log (log1p (exp x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (exp (+ (log (log1p (exp x))) (log (log1p (exp x))))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 81 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (pow (log1p (exp x)) (+ (+ 1 3) (+ 1 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (cbrt (pow (log1p (exp x)) (+ (+ 1 3) (+ 1 1)))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 84 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (* (* (log1p (exp x)) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 89 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 90 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (* (* (log1p (exp x)) 1) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 91 / 106 ] 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)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (log1p (exp x)))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 92 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (* (sqrt (log1p (exp x))) (* (sqrt (log1p (exp x))) (log1p (exp x)))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 93 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma x (fma 1/8 x 1/2) (log 2))) * * * * [misc]progress: [ 96 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 97 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 98 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (fma (log 2) (fma (fma 1/4 x 1) x (log 2)) (* (* x x) 1/4)) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (fma (log 2) (fma (fma 1/4 x 1) x (log 2)) (* (* x x) 1/4)) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 99 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (- (* (log1p (exp x)) (log1p (exp x))) (* (* x y) (* x y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* x y) (* x y))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 100 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (- (* (log1p (exp x)) (log1p (exp x))) (* (* x y) (* x y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* x y) (* x y))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 101 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (fma x (fma 1/8 x 1/2) (log 2)))) * * * * [misc]progress: [ 102 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (fma y x (log1p (exp x))))) * * * * [misc]progress: [ 103 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (fma y x (log1p (exp x))))) * * * * [misc]progress: [ 104 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (fma (log 2) (fma (fma 1/4 x 1) x (log 2)) (* (* x x) 1/4)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (- (fma (log 2) (fma (fma 1/4 x 1) x (log 2)) (* (* x x) 1/4)) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 105 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (log (+ (exp x) 1)) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (log1p (exp x)) (log1p (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x)))) * * * * [misc]progress: [ 106 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (log (+ (exp x) 1)) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (log1p (exp x)) (log1p (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (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 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (+ (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (log1p (exp x)) (* y x)) (- (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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [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 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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [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 (+ (log (+ (exp x) 1)) 0) into (log (+ (exp x) 1)) * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp x) 1)) 0) into (log (+ (exp x) 1)) * [misc]backup-simplify: Simplify (/ (log (+ (exp x) 1)) (log (+ (exp x) 1))) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (log1p (exp x)) (* y x)) (- (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]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 (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (log 2) (log 2)) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (log1p (exp x)) (* y x)) (- (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]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 (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (log 2) (log 2)) into 1 * [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 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 (+ 1/2 y) into (+ y 1/2) * [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 (- (/ (+ y 1/2) (log 2)) (+ (* 1 (/ (- 1/2 y) (log 2))))) into (* 2 (/ y (log 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ y (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 (/ 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 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 (+ 1/8 0) into 1/8 * [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 (- (/ 1/8 (log 2)) (+ (* 1 (/ 1/8 (log 2))) (* (* 2 (/ y (log 2))) (/ (- 1/2 y) (log 2))))) into (- (* 2 (/ (pow y 2) (pow (log 2) 2))) (/ y (pow (log 2) 2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ (pow y 2) (pow (log 2) 2))) (/ y (pow (log 2) 2))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow y 2) (pow (log 2) 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 (/ (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 (/ 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]backup-simplify: Simplify (* 2 (/ 1 (log 2))) into (/ 2 (log 2)) * [misc]backup-simplify: Simplify (/ 2 (log 2)) into (/ 2 (log 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (log 2)) (+ (* 1 (/ 0 (log 2))) (* (* 2 (/ y (log 2))) (/ 1/8 (log 2))) (* (- (* 2 (/ (pow y 2) (pow (log 2) 2))) (/ y (pow (log 2) 2))) (/ (- 1/2 y) (log 2))))) into (- (+ (* 2 (/ (pow y 3) (pow (log 2) 3))) (* 1/2 (/ y (pow (log 2) 3)))) (+ (* 1/4 (/ y (pow (log 2) 2))) (* 2 (/ (pow y 2) (pow (log 2) 3))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ (pow y 3) (pow (log 2) 3))) (* 1/2 (/ y (pow (log 2) 3)))) (+ (* 1/4 (/ y (pow (log 2) 2))) (* 2 (/ (pow y 2) (pow (log 2) 3))))) in y * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow y 3) (pow (log 2) 3))) (* 1/2 (/ y (pow (log 2) 3)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow y 3) (pow (log 2) 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 2) 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 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 (/ 1 (pow (log 2) 3)) into (/ 1 (pow (log 2) 3)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ y (pow (log 2) 3))) 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 (log 2) 3)) 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) 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 (/ 1 (pow (log 2) 3)) into (/ 1 (pow (log 2) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ y (pow (log 2) 2))) (* 2 (/ (pow y 2) (pow (log 2) 3)))) in y * [misc]taylor: Taking taylor expansion of (* 1/4 (/ y (pow (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 (/ 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 (* 2 (/ (pow y 2) (pow (log 2) 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 2) (pow (log 2) 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 2) 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 (/ 1 (pow (log 2) 3)) into (/ 1 (pow (log 2) 3)) * [misc]backup-simplify: Simplify (- (/ 1 (pow (log 2) 2))) into (- (/ 1 (pow (log 2) 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow (log 2) 2)))) into (- (/ 1 (pow (log 2) 2))) * [misc]backup-simplify: Simplify (- (/ 1 (pow (log 2) 2))) into (- (/ 1 (pow (log 2) 2))) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (pow (log 2) 2))) (* y (pow x 2))) (+ (* (/ 2 (log 2)) (* y x)) 1)) into (- (+ 1 (* 2 (/ (* x y) (log 2)))) (/ (* (pow x 2) y) (pow (log 2) 2))) * [misc]approximate: Taking taylor expansion of (/ (+ (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) (- (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))) (- (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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ 0 (/ 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 (/ (/ 1 x) (- (/ 1 x))) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) (- (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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ 0 (/ 1 y)) into (/ 1 y) * [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 (/ (/ 1 y) (- (/ 1 y))) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) (- (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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ 0 (/ 1 y)) into (/ 1 y) * [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 (/ (/ 1 y) (- (/ 1 y))) into -1 * [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 (- (+ (* 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 (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 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 (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y))) (+ (* -1 (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (* y (log (+ (exp (/ 1 x)) 1)))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* y (log (+ (exp (/ 1 x)) 1))) 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 (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 0 (log (+ (exp (/ 1 x)) 1))) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 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 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ (exp (/ 1 x)) 1))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ (exp (/ 1 x)) 1)))) 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 (+ (exp (/ 1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ (exp (/ 1 x)) 1)))) into (* 2 (log (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 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 (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log (+ (exp (/ 1 x)) 1)))) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ (* 2 (log (+ (exp (/ 1 x)) 1))) (* 0 0)) into (* 2 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (- (* 2 (log (+ (exp (/ 1 x)) 1)))) into (- (* 2 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* 2 (log (+ (exp (/ 1 x)) 1)))) into (- (* 2 (log (+ (exp (/ 1 x)) 1)))) * [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 (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 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 (+ (exp (/ 1 x)) 1)) 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (+ (exp (/ 1 x)) 1))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log (+ (exp (/ 1 x)) 1)))) 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 (+ (exp (/ 1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 3 (log (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 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 (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (log (+ (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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3)))) (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4))) 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 4) (pow (log (+ (exp (/ 1 x)) 1)) 4)) in y * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 4) in y * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (log (+ (exp (/ 1 x)) 1))))) in y * [misc]taylor: Taking taylor expansion of (* 4 (log (log (+ (exp (/ 1 x)) 1)))) 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 (+ (exp (/ 1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (* 4 (log (log (+ (exp (/ 1 x)) 1)))) into (* 4 (log (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 4 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 4) * [misc]backup-simplify: Simplify (* 1 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify (* 2 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (* 2 (pow (log (+ (exp (/ 1 x)) 1)) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (- (* 2 (pow (log (+ (exp (/ 1 x)) 1)) 2))) * [misc]backup-simplify: Simplify (- (* 2 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (- (* 2 (pow (log (+ (exp (/ 1 x)) 1)) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 2 (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2))) (pow (* (/ 1 y) (/ 1 x)) 2)) (+ (* (- (* 2 (log (+ (exp (/ 1 (/ 1 x))) 1)))) (* (/ 1 y) (/ 1 x))) -1)) into (- (+ (* 2 (/ (log (+ (exp x) 1)) (* x y))) (+ (* 2 (/ (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2)))) 1))) * [misc]approximate: Taking taylor expansion of (/ (+ (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (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)))) (- (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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ 0 (/ 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 (/ (/ 1 x) (- (/ 1 x))) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ 0 (/ 1 y)) into (/ 1 y) * [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 (/ (/ 1 y) (- (/ 1 y))) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ 0 (/ 1 y)) into (/ 1 y) * [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 (/ (/ 1 y) (- (/ 1 y))) into -1 * [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 (- 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 (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (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)))) 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 (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y))) (+ (* -1 (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (log (+ (exp (/ -1 x)) 1)) y)) 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 (+ (exp (/ -1 x)) 1)) y) in y * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1)) 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (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 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log (+ (exp (/ -1 x)) 1))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (log (+ (exp (/ -1 x)) 1)))) 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 (+ (exp (/ -1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (* 2 (log (log (+ (exp (/ -1 x)) 1)))) into (* 2 (log (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]taylor: Taking taylor expansion of (pow y 2) in y * [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 (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 1) (* 0 0)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ (* 2 (log (+ (exp (/ -1 x)) 1))) (* 0 0)) into (* 2 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (- (* 2 (log (+ (exp (/ -1 x)) 1)))) into (- (* 2 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* 2 (log (+ (exp (/ -1 x)) 1)))) into (- (* 2 (log (+ (exp (/ -1 x)) 1)))) * [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 (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 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 (+ (exp (/ -1 x)) 1)) 3) (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 3) in y * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log (+ (exp (/ -1 x)) 1))))) in y * [misc]taylor: Taking taylor expansion of (* 3 (log (log (+ (exp (/ -1 x)) 1)))) 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 (+ (exp (/ -1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (* 3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 3 (log (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 3) * [misc]taylor: Taking taylor expansion of (pow y 3) in y * [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 (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (log (+ (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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3)))) (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) 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 (+ (exp (/ -1 x)) 1)) 4) (pow y 4)) in y * [misc]taylor: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 4) in y * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (log (+ (exp (/ -1 x)) 1))))) in y * [misc]taylor: Taking taylor expansion of (* 4 (log (log (+ (exp (/ -1 x)) 1)))) 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 (+ (exp (/ -1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (* 4 (log (log (+ (exp (/ -1 x)) 1)))) into (* 4 (log (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 4 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 4) * [misc]taylor: Taking taylor expansion of (pow y 4) in y * [misc]backup-simplify: Simplify (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 1) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (* 2 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (* 2 (pow (log (+ (exp (/ -1 x)) 1)) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (log (+ (exp (/ -1 x)) 1)) 2))) into (- (* 2 (pow (log (+ (exp (/ -1 x)) 1)) 2))) * [misc]backup-simplify: Simplify (- (* 2 (pow (log (+ (exp (/ -1 x)) 1)) 2))) into (- (* 2 (pow (log (+ (exp (/ -1 x)) 1)) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 2 (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2))) (pow (* (/ 1 (- y)) (/ 1 (- x))) 2)) (+ (* (- (* 2 (log (+ (exp (/ -1 (/ 1 (- x)))) 1)))) (* (/ 1 (- y)) (/ 1 (- x)))) -1)) into (- (+ (* 2 (/ (log (+ (exp x) 1)) (* x y))) (+ (* 2 (/ (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2)))) 1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [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 (+ (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 (+ 1/2 y) into (+ y 1/2) * [misc]taylor: Taking taylor expansion of (+ y 1/2) 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 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) 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 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 (+ 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 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ 0 (/ 1 y)) into (/ 1 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 (/ 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 (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 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 (+ (exp (/ 1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 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 (+ (exp (/ 1 (/ 1 x))) 1)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (log (+ (exp x) 1)) (* x y)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ 0 (/ 1 y)) into (/ 1 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 (- 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 (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 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 (+ (exp (/ -1 x)) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 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 (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (log (+ (exp x) 1)) (* x y)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [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 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [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 (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 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 (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [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]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 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 (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (fma y x (log1p (exp x))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (fma y x (log1p (exp x))) in x * [misc]taylor: Rewrote expression to (+ (* y x) (log1p (exp x))) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (fma y x (log1p (exp x))) in y * [misc]taylor: Rewrote expression to (+ (* y x) (log1p (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)) 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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (fma y x (log1p (exp x))) in y * [misc]taylor: Rewrote expression to (+ (* y x) (log1p (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)) 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 (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ 0 (log (+ (exp x) 1))) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [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]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 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 (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (* (exp 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 (+ (exp x) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]taylor: Taking 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 (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 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 (+ (exp x) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp x) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* x y)) (+ (* 1/2 (* x 1)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* x y))) * [misc]approximate: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (log1p (exp (/ 1 x)))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (log1p (exp (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (log1p (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))) 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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (log1p (exp (/ 1 x)))) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (log1p (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))) 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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (fma (/ 1 y) (/ 1 x) (log1p (exp (/ 1 x)))) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 y) (/ 1 x)) (log1p (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))) 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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ (/ 1 x) 0) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log (+ (exp (/ 1 x)) 1))) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [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]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) 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 (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (exp (/ 1 x)) 1) 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 (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (exp (/ 1 (/ 1 x))) 1)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (log (+ (exp x) 1)) (* x y)) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- y)) (/ 1 (- x)) (log1p (exp (/ 1 (- x))))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- y)) (/ 1 (- x)) (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- y)) (/ 1 (- x))) (log1p (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)))) 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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- y)) (/ 1 (- x)) (log1p (exp (/ 1 (- x))))) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- y)) (/ 1 (- x))) (log1p (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)))) 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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- y)) (/ 1 (- x)) (log1p (exp (/ 1 (- x))))) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- y)) (/ 1 (- x))) (log1p (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)))) 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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ (/ 1 x) 0) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log (+ (exp (/ -1 x)) 1))) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x * [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 -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (* (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 (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [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 (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (exp (/ -1 x)) 1) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (log (+ (exp x) 1)) (* x y)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (log1p (exp x)) (* y x))) (log (- (log1p (exp x)) (* y x)))) * * [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 (30 enodes) * [exit]simplify: Simplified to (- (log (fma y x (log1p (exp x)))) (log (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (exp (- (log (fma y x (log1p (exp x)))) (log (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 5 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (log1p (exp x)) (* y x)) (+ (log1p (exp x)) (* y x))) (+ (log1p (exp x)) (* y x))) (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (pow (/ (fma y x (log1p (exp x))) (- (log1p (exp x)) (* y x))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (cbrt (pow (/ (fma y x (log1p (exp x))) (- (log1p (exp x)) (* y x))) 3)))) * * * * [misc]progress: [ 8 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (+ (log1p (exp x)) (* y x)))) (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x)))) (/ (cbrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (* (/ (cbrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x)))) (/ (cbrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x))))) (/ (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (* (/ (cbrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x)))) (/ (cbrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x))))) (/ (cbrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 13 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (+ (log1p (exp x)) (* y x)))) (sqrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma y x (log1p (exp x)))) (/ (sqrt (- (log1p (exp x)) (* y x))) (cbrt (fma y x (log1p (exp x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ (cbrt (fma y x (log1p (exp x)))) (/ (sqrt (- (log1p (exp x)) (* y x))) (cbrt (fma y x (log1p (exp x)))))) (/ (cbrt (+ (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma y x (log1p (exp x)))) (sqrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ (cbrt (fma y x (log1p (exp x)))) (/ (sqrt (- (log1p (exp x)) (* y x))) (cbrt (fma y x (log1p (exp x)))))) (/ (cbrt (fma y x (log1p (exp x)))) (sqrt (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 14 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log1p (exp x)) (* y x))) (cbrt (+ (log1p (exp x)) (* y x)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (fma y x (log1p (exp x)))) (cbrt (fma y x (log1p (exp x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (* (cbrt (fma y x (log1p (exp x)))) (cbrt (fma y x (log1p (exp x))))) (/ (cbrt (+ (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log1p (exp x)) (* y x))) (- (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 (/ (cbrt (fma y x (log1p (exp x)))) (- (log1p (exp x)) (* y x))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (* (cbrt (fma y x (log1p (exp x)))) (cbrt (fma y x (log1p (exp x))))) (/ (cbrt (fma y x (log1p (exp x)))) (- (log1p (exp x)) (* y x)))))) * * * * [misc]progress: [ 15 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log1p (exp x)) (* y x))) (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma y x (log1p (exp x)))) (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ (sqrt (fma y x (log1p (exp x)))) (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))) (/ (sqrt (+ (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ (sqrt (fma y x (log1p (exp x)))) (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))) (/ (sqrt (fma y x (log1p (exp x)))) (cbrt (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 16 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma y x (log1p (exp x)))) (sqrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ (sqrt (fma y x (log1p (exp x)))) (sqrt (- (log1p (exp x)) (* y x)))) (/ (sqrt (+ (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma y x (log1p (exp x)))) (sqrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ (sqrt (fma y x (log1p (exp x)))) (sqrt (- (log1p (exp x)) (* y x)))) (/ (sqrt (fma y x (log1p (exp x)))) (sqrt (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 17 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log1p (exp x)) (* y x))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (fma y x (log1p (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (sqrt (fma y x (log1p (exp x)))) (/ (sqrt (+ (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log1p (exp x)) (* y x))) (- (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 (/ (sqrt (fma y x (log1p (exp x)))) (- (log1p (exp x)) (* y x))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (sqrt (fma y x (log1p (exp x)))) (/ (sqrt (fma y x (log1p (exp x)))) (- (log1p (exp x)) (* y x)))))) * * * * [misc]progress: [ 18 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (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 (/ 1 (* (cbrt (- (log1p (exp x)) (* x y))) (cbrt (- (log1p (exp x)) (* x y))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ 1 (* (cbrt (- (log1p (exp x)) (* x y))) (cbrt (- (log1p (exp x)) (* x y))))) (/ (+ (log1p (exp x)) (* y x)) (cbrt (- (log1p (exp x)) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log1p (exp x)) (* y x)) (cbrt (- (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 (/ (fma y x (log1p (exp x))) (cbrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ 1 (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))) (/ (fma y x (log1p (exp x))) (cbrt (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 19 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (log1p (exp x)) (* x y)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ 1 (sqrt (- (log1p (exp x)) (* x y)))) (/ (+ (log1p (exp x)) (* y x)) (sqrt (- (log1p (exp x)) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log1p (exp x)) (* y x)) (sqrt (- (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 (/ (fma y x (log1p (exp x))) (sqrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ 1 (sqrt (- (log1p (exp x)) (* y x)))) (/ (fma y x (log1p (exp x))) (sqrt (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 20 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (* 1 (/ (+ (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))))) * [enter]simplify: Simplifying (/ (+ (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 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (fma y x (log1p (exp x))) (- (log1p (exp x)) (* y x))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* 1 (/ (fma y x (log1p (exp x))) (- (log1p (exp x)) (* y x)))))) * * * * [misc]progress: [ 21 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 93 ] 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))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (/ (+ (log1p (exp x)) (* y x)) (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))) (cbrt (- (log1p (exp x)) (* y x)))))) * * * * [misc]progress: [ 25 / 93 ] 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))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (/ (+ (log1p (exp x)) (* y x)) (sqrt (- (log1p (exp x)) (* y x)))) (sqrt (- (log1p (exp x)) (* y x)))))) * * * * [misc]progress: [ 26 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (exp x)) (* y x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (/ (+ (log1p (exp x)) (* y x)) 1) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 27 / 93 ] 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 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (fma y x (log1p (exp x)))) (cbrt (fma y x (log1p (exp x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (* (cbrt (fma y x (log1p (exp x)))) (cbrt (fma y x (log1p (exp x))))) (/ (- (log1p (exp x)) (* y x)) (cbrt (+ (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 28 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (log1p (exp x)) (* y x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (fma y x (log1p (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (sqrt (fma y x (log1p (exp x)))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 29 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 93 ] simplifiying candidate # * [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 (132 enodes) * [exit]simplify: Simplified to (fma (fma x y (log1p (exp x))) (* y x) (* (log1p (exp x)) (log1p (exp x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ (+ (log1p (exp x)) (* y x)) (- (pow (log1p (exp x)) 3) (pow (* y x) 3))) (fma (fma x y (log1p (exp x))) (* y x) (* (log1p (exp x)) (log1p (exp x))))))) * * * * [misc]progress: [ 31 / 93 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (* (/ (+ (log1p (exp x)) (* y x)) (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (fma y x (log1p (exp x)))))) * * * * [misc]progress: [ 32 / 93 ] 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 (20 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (fma (* (* y x) (* y x)) (* y x) (pow (log1p (exp x)) 3)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (fma (* (* y x) (* y x)) (* y x) (pow (log1p (exp x)) 3)) (* (- (log1p (exp x)) (* y x)) (+ (* (log1p (exp x)) (log1p (exp x))) (- (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) * * * * [misc]progress: [ 33 / 93 ] 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 (96 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))))) * * * * [misc]progress: [ 34 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 93 ] 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)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (* y x)) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 37 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (* y x)) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 38 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (exp x)) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (fma (exp x) (exp (* x y)) (exp (* x y))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (log (fma (exp x) (exp (* x y)) (exp (* x y)))) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 40 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (log1p (exp x))) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (exp (fma x y (log1p (exp x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (log (exp (fma x y (log1p (exp x))))) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 41 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 93 ] 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)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* 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)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))))) * * * * [misc]progress: [ 52 / 93 ] 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)) (* y x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* 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)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))))) * * * * [misc]progress: [ 53 / 93 ] 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)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (+ (- (log1p (exp x)) (* x y)) (fma (- x) y (* 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)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (+ (- (log1p (exp x)) (* x y)) (- (* x y) (* x y)))))) * * * * [misc]progress: [ 54 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 93 ] 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)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))))) * * * * [misc]progress: [ 57 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x)))))) * * * * [misc]progress: [ 58 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 93 ] 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))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (log (/ (+ 1 (exp x)) (exp (* x y))))))) * * * * [misc]progress: [ 60 / 93 ] 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)) (* y x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (log (exp (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 61 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 2 (/ (* x y) (log 2)))) (/ (* (pow x 2) y) (pow (log 2) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (fma (/ (* x y) (log 2)) (- 2 (/ x (log 2))) 1) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (fma (/ (* x y) (log 2)) (- 2 (/ x (log 2))) 1))) * * * * [misc]progress: [ 83 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ (log (+ (exp x) 1)) (* x y))) (+ (* 2 (/ (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2)))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (fma (- 2) (* (/ (log1p (exp x)) (* y x)) (/ (log1p (exp x)) (* y x))) (- (fma (/ (/ 2 x) y) (log1p (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (fma (- 2) (* (/ (log1p (exp x)) (* y x)) (/ (log1p (exp x)) (* y x))) (- (fma (/ (/ 2 x) y) (log1p (exp x)) 1))))) * * * * [misc]progress: [ 84 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ (log (+ (exp x) 1)) (* x y))) (+ (* 2 (/ (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2)))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (fma (- 2) (* (/ (log1p (exp x)) (* y x)) (/ (log1p (exp x)) (* y x))) (- (fma (/ (/ 2 x) y) (log1p (exp x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (fma (- 2) (* (/ (log1p (exp x)) (* y x)) (/ (log1p (exp x)) (* y x))) (- (fma (/ (/ 2 x) y) (log1p (exp x)) 1))))) * * * * [misc]progress: [ 85 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (fma x (fma 1/8 x 1/2) (log 2)) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 86 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (fma y x (log1p (exp x))) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 87 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (fma y x (log1p (exp x))) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 88 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (fma x (fma 1/8 x 1/2) (log 2))))) * * * * [misc]progress: [ 89 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 90 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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]simplify: Simplified (2 2 2) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 91 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* x y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (fma (+ y 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (fma (+ y 1/2) x (log 2)) (/ (+ (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 92 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 93 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fma y x (log1p (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (fma y x (log1p (exp x))) (/ (+ (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) in y * [misc]taylor: Taking taylor expansion of (fma x (fma 1/8 x 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* x (fma 1/8 x 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma 1/8 x 1/2)) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in y * [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 x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (fma x (fma 1/8 x 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma 1/8 x 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma 1/8 x 1/2)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (fma x (fma 1/8 x 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma 1/8 x 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma 1/8 x 1/2)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in y * [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 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 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [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 x) in x * [misc]taylor: Taking 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 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [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 x) in x * [misc]taylor: Taking 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 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (/ 1 (/ 1 x)))) (+ (* 1/8 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * [misc]approximate: Taking taylor expansion of (- (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in y * [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 (- 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 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [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 (- 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 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [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 (- 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 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ -1/2 (- (/ 1 y))) into (- (+ 1/2 (/ 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 (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (fma x (fma 1/8 x 1/2) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma x (fma 1/8 x 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma 1/8 x 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma 1/8 x 1/2)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (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 x (fma 1/8 x 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* x (fma 1/8 x 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* x (fma 1/8 x 1/2)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (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 (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [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 x) in x * [misc]taylor: Taking 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 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) (fma 1/8 (/ 1 x) 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma 1/8 (/ 1 x) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [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 x) in x * [misc]taylor: Taking 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 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* 1/2 (/ 1 (/ 1 x))) (* 1/8 (pow (/ 1 (/ 1 x)) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [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 (- 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 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma 1/8 (/ 1 (- x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [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 (- 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 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* -1/2 (/ 1 (/ 1 (- x)))) (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (cbrt (fma x (fma 1/8 x 1/2) (log 2)))) (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (- (* x y))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) (fma (- x) y (* 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)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (fma x (fma 1/8 x 1/2) (log 2))) (sqrt (fma x (fma 1/8 x 1/2) (log 2))) (- (* x y))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (fma x (- (fma 1/8 x 1/2) y) (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma x (- (fma 1/8 x 1/2) y) (log 2)) (fma (- x) y (* 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)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma x (- (fma 1/8 x 1/2) y) (log 2)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (fma x (fma 1/8 x 1/2) (log 2)) (- (* x y))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) (fma (- x) y (* 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)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (cbrt (fma x (fma 1/8 x 1/2) (log 2)))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (cbrt (fma x (fma 1/8 x 1/2) (log 2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (* (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (cbrt (fma x (fma 1/8 x 1/2) (log 2)))) (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (- (* y x)))) * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma x (fma 1/8 x 1/2) (log 2))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (sqrt (fma x (fma 1/8 x 1/2) (log 2))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (fma x (fma 1/8 x 1/2) (log 2))) (sqrt (fma x (fma 1/8 x 1/2) (log 2))) (- (* y x)))) * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (fma x (fma 1/8 x 1/2) (log 2))) (exp (* y x))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (exp (fma x (- (fma 1/8 x 1/2) y) (log 2))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (exp (fma x (- (fma 1/8 x 1/2) y) (log 2))))) * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (fma 1/8 x 1/2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (fma 1/8 x 1/2) x) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (* (fma 1/8 x 1/2) x) (- (log 2) (* y x)))) * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma x (fma 1/8 x 1/2) (log 2))) * * * * [misc]progress: [ 33 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (fma x 1/8 (- 1/2 y)) x) * [misc]simplify: Simplified (2) to (λ (x y) (* (fma x 1/8 (- 1/2 y)) x)) * * * * [misc]progress: [ 34 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (fma x 1/8 (- 1/2 y)) x) * [misc]simplify: Simplified (2) to (λ (x y) (* (fma x 1/8 (- 1/2 y)) x)) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 2 branch expressions: (y x) * * * * [misc]regimes: Trying to branch on y from (# # #) * * * * [misc]regimes: Trying to branch on x from (# # #) * * * [misc]regime: Found split indices: #