* [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 72 additional inputs, on iter 1 have 184 / 256 * * * * [misc]points: Computing exacts on every 4 of 72 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 72 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 72 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 29 additional inputs, on iter 2 have 227 / 256 * * * * [misc]points: Computing exacts for 29 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 11 additional inputs, on iter 3 have 245 / 256 * * * * [misc]points: Computing exacts for 11 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 252 / 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 5 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 259 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 167 * * [misc]simplify: Extracting #3: cost 4 inf + 279 * * [misc]simplify: Extracting #4: cost 1 inf + 683 * * [misc]simplify: Extracting #5: cost 0 inf + 795 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 43 * * [misc]simplify: Extracting #3: cost 3 inf + 441 * * [misc]simplify: Extracting #4: cost 0 inf + 1205 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 371 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 43 * * [misc]simplify: Extracting #3: cost 2 inf + 440 * * [misc]simplify: Extracting #4: cost 0 inf + 883 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 371 * [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: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 209 * * [misc]simplify: Extracting #3: cost 1 inf + 441 * * [misc]simplify: Extracting #4: cost 0 inf + 683 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 371 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 755 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 434 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 73 * * [misc]simplify: Extracting #4: cost 0 inf + 674 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 74 * * [misc]simplify: Extracting #4: cost 6 inf + 1007 * * [misc]simplify: Extracting #5: cost 0 inf + 2327 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 72 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 61 * * [misc]simplify: Extracting #3: cost 4 inf + 367 * * [misc]simplify: Extracting #4: cost 2 inf + 622 * * [misc]simplify: Extracting #5: cost 0 inf + 918 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 2 * * [misc]simplify: Extracting #3: cost 2 inf + 682 * * [misc]simplify: Extracting #4: cost 1 inf + 683 * * [misc]simplify: Extracting #5: cost 0 inf + 795 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 2 * * [misc]simplify: Extracting #3: cost 2 inf + 682 * * [misc]simplify: Extracting #4: cost 1 inf + 683 * * [misc]simplify: Extracting #5: cost 0 inf + 795 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 61 * * [misc]simplify: Extracting #3: cost 4 inf + 367 * * [misc]simplify: Extracting #4: cost 2 inf + 622 * * [misc]simplify: Extracting #5: cost 0 inf + 918 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 3 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 346 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 3 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 346 * [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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (log1p (exp x)) (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt (log (+ (exp x) 1))) into (sqrt (log (+ (exp x) 1))) * [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 (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (+ 0 (- x)) into (- x) * [misc]backup-simplify: Simplify (/ (- x) (* 2 (sqrt (log (+ (exp x) 1))))) into (* -1/2 (* x (sqrt (/ 1 (log (+ (exp x) 1)))))) * [misc]taylor: Taking taylor expansion of (sqrt (- (log1p (exp x)) (* y x))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (/ (- 1/2 y) (* 2 (sqrt (log 2)))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/2 y))) * [misc]taylor: Taking taylor expansion of (sqrt (- (log1p (exp x)) (* y x))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (/ (- 1/2 y) (* 2 (sqrt (log 2)))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/2 y))) * [misc]taylor: Taking taylor expansion of (sqrt (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 (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (log 2))) (- 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 (* (sqrt (/ 1 (log 2))) (- 1/2 y)) in y * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (log 2))) into (sqrt (/ 1 (log 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (log 2)) (/ 0 (log 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (log 2))))) into 0 * [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 (* (sqrt (/ 1 (log 2))) 1/2) into (* 1/2 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (* 1/2 (* 1/2 (sqrt (/ 1 (log 2))))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (log 2)))) into (* 1/4 (sqrt (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (/ (- 1/8 (pow (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/2 y))) 2) (+)) (* 2 (sqrt (log 2)))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- (+ 1/8 (* 1/4 (/ y (log 2)))) (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (log 2))) (- (+ 1/8 (* 1/4 (/ y (log 2)))) (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2))))))) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (log 2))) (- (+ 1/8 (* 1/4 (/ y (log 2)))) (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2)))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (log 2))) into (sqrt (/ 1 (log 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (log 2)) (/ 0 (log 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (log 2))))) into 0 * [misc]taylor: Taking taylor expansion of (- (+ 1/8 (* 1/4 (/ y (log 2)))) (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2))))) in y * [misc]taylor: Taking taylor expansion of (+ 1/8 (* 1/4 (/ y (log 2)))) 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 (* 1/4 (/ y (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 (/ y (log 2)) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of 1/16 in y * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow y 2) (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 (/ (pow y 2) (log 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/16 (/ 1 (log 2))) into (/ 1/16 (log 2)) * [misc]backup-simplify: Simplify (+ (/ 1/16 (log 2)) 0) into (* 1/16 (/ 1 (log 2))) * [misc]backup-simplify: Simplify (- (* 1/16 (/ 1 (log 2)))) into (- (* 1/16 (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (+ 1/8 (- (* 1/16 (/ 1 (log 2))))) into (- 1/8 (* 1/16 (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2))))) into (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (pow (* 1 x) 2)) (+ (* (* 1/4 (sqrt (/ 1 (log 2)))) (* 1 x)) (sqrt (log 2)))) into (- (+ (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (sqrt (log 2)))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 0))) into (/ +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 0))) into (/ +nan.0 y) * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 0))) into (/ +nan.0 y) * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ +nan.0 y) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 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 (- 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)) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (* +nan.0 (- (log (+ (exp (/ 1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (log (+ (exp (/ 1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1)) (* +nan.0 (/ 1 (pow y 2)))) 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]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.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 (- (+ (* 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 (+ (* 2 (* (/ +nan.0 y) (* +nan.0 (- (log (+ (exp (/ 1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ (log (+ (exp (/ 1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3)))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (log (+ (exp (/ 1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3)))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (log (+ (exp (/ 1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (+ (exp (/ 1 x)) 1)) y)) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 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)) 1) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 (log (+ (exp (/ 1 x)) 1))) into (* +nan.0 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (log (+ (exp (/ 1 x)) 1))) 0) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* +nan.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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (log (+ (exp (/ 1 x)) 1))))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 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 (+ (* +nan.0 (log (+ (exp (/ 1 x)) 1))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (log (+ (exp (/ 1 (/ 1 x))) 1)))) (* 1 (/ 1 x))) (+ (* (- (* +nan.0 (log (+ (exp (/ 1 (/ 1 x))) 1)))) (* (/ 1 (/ 1 y)) (pow (/ 1 x) 2))) (* +nan.0 (* (/ 1 (/ 1 y)) 1)))) into (- (+ (* +nan.0 (/ (log (+ (exp x) 1)) x)) (- (+ (* +nan.0 (/ (* (log (+ (exp x) 1)) y) (pow x 2))) (- (* +nan.0 y)))))) * [misc]approximate: Taking taylor expansion of (sqrt (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 0))) into (/ +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 0))) into (/ +nan.0 y) * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 0))) into (/ +nan.0 y) * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ +nan.0 y) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) 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)) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (* +nan.0 (- (log (+ (exp (/ -1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (log (+ (exp (/ -1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1)) (* +nan.0 (/ 1 (pow y 2)))) 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 (* +nan.0 (/ 1 (pow y 2))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.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) into 0 * [misc]backup-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 (+ (* 2 (* (/ +nan.0 y) (* +nan.0 (- (log (+ (exp (/ -1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ (log (+ (exp (/ -1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3)))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (log (+ (exp (/ -1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3)))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (log (+ (exp (/ -1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (+ (exp (/ -1 x)) 1)) y)) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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)) 1) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 (log (+ (exp (/ -1 x)) 1))) into (* +nan.0 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (log (+ (exp (/ -1 x)) 1))) 0) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* +nan.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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (log (+ (exp (/ -1 x)) 1))))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 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 (+ (* +nan.0 (log (+ (exp (/ -1 x)) 1))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (log (+ (exp (/ -1 (/ 1 (- x)))) 1)))) (* 1 (/ 1 (- x)))) (+ (* (- (* +nan.0 (log (+ (exp (/ -1 (/ 1 (- x)))) 1)))) (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) 2))) (* +nan.0 (* (/ 1 (/ 1 (- y))) 1)))) into (- (+ (* +nan.0 (/ (log (+ (exp x) 1)) x)) (- (+ (* +nan.0 (/ (* (log (+ (exp x) 1)) y) (pow x 2))) (- (* +nan.0 y)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- (log1p (exp x)) (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt (log (+ (exp x) 1))) into (sqrt (log (+ (exp x) 1))) * [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 (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (+ 0 (- x)) into (- x) * [misc]backup-simplify: Simplify (/ (- x) (* 2 (sqrt (log (+ (exp x) 1))))) into (* -1/2 (* x (sqrt (/ 1 (log (+ (exp x) 1)))))) * [misc]taylor: Taking taylor expansion of (sqrt (- (log1p (exp x)) (* y x))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (/ (- 1/2 y) (* 2 (sqrt (log 2)))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/2 y))) * [misc]taylor: Taking taylor expansion of (sqrt (- (log1p (exp x)) (* y x))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (/ (- 1/2 y) (* 2 (sqrt (log 2)))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/2 y))) * [misc]taylor: Taking taylor expansion of (sqrt (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 (sqrt (log 2)) into (sqrt (log 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (log 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (log 2)) into (sqrt (log 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (log 2))) (- 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 (* (sqrt (/ 1 (log 2))) (- 1/2 y)) in y * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (log 2))) into (sqrt (/ 1 (log 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (log 2)) (/ 0 (log 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (log 2))))) into 0 * [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 (* (sqrt (/ 1 (log 2))) 1/2) into (* 1/2 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (* 1/2 (* 1/2 (sqrt (/ 1 (log 2))))) into (* 1/4 (sqrt (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (log 2)))) into (* 1/4 (sqrt (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (/ (- 1/8 (pow (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/2 y))) 2) (+)) (* 2 (sqrt (log 2)))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- (+ 1/8 (* 1/4 (/ y (log 2)))) (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (log 2))) (- (+ 1/8 (* 1/4 (/ y (log 2)))) (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2))))))) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (log 2))) (- (+ 1/8 (* 1/4 (/ y (log 2)))) (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2)))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (log 2))) into (sqrt (/ 1 (log 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (log 2)) (/ 0 (log 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (log 2))))) into 0 * [misc]taylor: Taking taylor expansion of (- (+ 1/8 (* 1/4 (/ y (log 2)))) (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2))))) in y * [misc]taylor: Taking taylor expansion of (+ 1/8 (* 1/4 (/ y (log 2)))) 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 (* 1/4 (/ y (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 (/ y (log 2)) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/16 (/ 1 (log 2))) (* 1/4 (/ (pow y 2) (log 2)))) in y * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (log 2))) in y * [misc]taylor: Taking taylor expansion of 1/16 in y * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (log 2)) in y * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow y 2) (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 (/ (pow y 2) (log 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (log 2)) into (/ 1 (log 2)) * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/16 (/ 1 (log 2))) into (/ 1/16 (log 2)) * [misc]backup-simplify: Simplify (+ (/ 1/16 (log 2)) 0) into (* 1/16 (/ 1 (log 2))) * [misc]backup-simplify: Simplify (- (* 1/16 (/ 1 (log 2)))) into (- (* 1/16 (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (+ 1/8 (- (* 1/16 (/ 1 (log 2))))) into (- 1/8 (* 1/16 (/ 1 (log 2)))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2))))) into (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) into (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (sqrt (/ 1 (log 2))) (- 1/8 (* 1/16 (/ 1 (log 2)))))) (pow (* 1 x) 2)) (+ (* (* 1/4 (sqrt (/ 1 (log 2)))) (* 1 x)) (sqrt (log 2)))) into (- (+ (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (sqrt (log 2)))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 0))) into (/ +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 0))) into (/ +nan.0 y) * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 0))) into (/ +nan.0 y) * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ +nan.0 y) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 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 (- 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)) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (* +nan.0 (- (log (+ (exp (/ 1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (log (+ (exp (/ 1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (log (+ (exp (/ 1 x)) 1)) (* +nan.0 (/ 1 (pow y 2)))) 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]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.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 (- (+ (* 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 (+ (* 2 (* (/ +nan.0 y) (* +nan.0 (- (log (+ (exp (/ 1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ (log (+ (exp (/ 1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3)))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (log (+ (exp (/ 1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3)))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (log (+ (exp (/ 1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (+ (exp (/ 1 x)) 1)) y)) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 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)) 1) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 (log (+ (exp (/ 1 x)) 1))) into (* +nan.0 (log (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (log (+ (exp (/ 1 x)) 1))) 0) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* +nan.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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (log (+ (exp (/ 1 x)) 1))))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 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 (+ (* +nan.0 (log (+ (exp (/ 1 x)) 1))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) into (- (* +nan.0 (log (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (log (+ (exp (/ 1 (/ 1 x))) 1)))) (* 1 (/ 1 x))) (+ (* (- (* +nan.0 (log (+ (exp (/ 1 (/ 1 x))) 1)))) (* (/ 1 (/ 1 y)) (pow (/ 1 x) 2))) (* +nan.0 (* (/ 1 (/ 1 y)) 1)))) into (- (+ (* +nan.0 (/ (log (+ (exp x) 1)) x)) (- (+ (* +nan.0 (/ (* (log (+ (exp x) 1)) y) (pow x 2))) (- (* +nan.0 y)))))) * [misc]approximate: Taking taylor expansion of (sqrt (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 0))) into (/ +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 0))) into (/ +nan.0 y) * [misc]taylor: Taking taylor expansion of (sqrt (- (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]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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 0))) into (/ +nan.0 y) * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ +nan.0 y) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (/ +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) 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)) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (* +nan.0 (- (log (+ (exp (/ -1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (log (+ (exp (/ -1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (log (+ (exp (/ -1 x)) 1)) (* +nan.0 (/ 1 (pow y 2)))) 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 (* +nan.0 (/ 1 (pow y 2))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 2)) in y * [misc]taylor: Taking taylor expansion of (pow y 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* +nan.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) into 0 * [misc]backup-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 (+ (* 2 (* (/ +nan.0 y) (* +nan.0 (- (log (+ (exp (/ -1 x)) 1)) (* +nan.0 (/ 1 (pow y 2))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ (log (+ (exp (/ -1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3)))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (log (+ (exp (/ -1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3)))))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (log (+ (exp (/ -1 x)) 1)) y)) (- (* +nan.0 (/ 1 (pow y 3))))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (+ (exp (/ -1 x)) 1)) y)) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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)) 1) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 3)))) in y * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 3))) in y * [misc]taylor: Taking taylor expansion of +nan.0 in y * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow y 3)) in y * [misc]taylor: Taking taylor expansion of (pow y 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 (log (+ (exp (/ -1 x)) 1))) into (* +nan.0 (log (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (log (+ (exp (/ -1 x)) 1))) 0) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* +nan.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 (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (log (+ (exp (/ -1 x)) 1))))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 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 (+ (* +nan.0 (log (+ (exp (/ -1 x)) 1))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) into (- (* +nan.0 (log (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (log (+ (exp (/ -1 (/ 1 (- x)))) 1)))) (* 1 (/ 1 (- x)))) (+ (* (- (* +nan.0 (log (+ (exp (/ -1 (/ 1 (- x)))) 1)))) (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) 2))) (* +nan.0 (* (/ 1 (/ 1 (- y))) 1)))) into (- (+ (* +nan.0 (/ (log (+ (exp x) 1)) x)) (- (+ (* +nan.0 (/ (* (log (+ (exp x) 1)) y) (pow x 2))) (- (* +nan.0 y)))))) * * * * [misc]progress: [ 3 / 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 (- 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 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 (- 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: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (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 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 1728 * [exit]simplify: Simplified to (fabs (cbrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (* (fabs (cbrt (- (log1p (exp x)) (* y x)))) (sqrt (cbrt (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 1286 * [exit]simplify: Simplified to (sqrt (sqrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (* (sqrt (sqrt (- (log1p (exp x)) (* y x)))) (sqrt (sqrt (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (* 1 (sqrt (- (log1p (exp x)) (* y x)))))) * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (log1p (exp x)) 3) (pow (* y x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 30 inf + 620 * * [misc]simplify: Extracting #5: cost 2 inf + 4746 * * [misc]simplify: Extracting #6: cost 0 inf + 4407 * [exit]simplify: Simplified to (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* y x) (* y x)) (* y x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (/ (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) * * * * [misc]progress: [ 13 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 46 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 492 * * [misc]simplify: Extracting #4: cost 51 inf + 1135 * * [misc]simplify: Extracting #5: cost 14 inf + 12024 * * [misc]simplify: Extracting #6: cost 0 inf + 16957 * [exit]simplify: Simplified to (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (+ (log1p (exp x)) (* y x)))))) * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 964 * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (fabs (sqrt (- (log1p (exp x)) (* y x)))))) * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (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 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 1728 * [exit]simplify: Simplified to (fabs (cbrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (* (* (fabs (cbrt (- (log1p (exp x)) (* y x)))) (sqrt (cbrt (- (log1p (exp x)) (* y x))))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (log1p (exp x)) (* y x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 1286 * [exit]simplify: Simplified to (sqrt (sqrt (- (log1p (exp x)) (* y x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (* (* (sqrt (sqrt (- (log1p (exp x)) (* y x)))) (sqrt (sqrt (- (log1p (exp x)) (* y x))))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x y) (* (* 1 (sqrt (- (log1p (exp x)) (* y x)))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (log1p (exp x)) 3) (pow (* y x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 30 inf + 620 * * [misc]simplify: Extracting #5: cost 2 inf + 4746 * * [misc]simplify: Extracting #6: cost 0 inf + 4407 * [exit]simplify: Simplified to (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* y x) (* y x)) (* y x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (* (/ (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 29 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 46 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 492 * * [misc]simplify: Extracting #4: cost 51 inf + 1135 * * [misc]simplify: Extracting #5: cost 14 inf + 12024 * * [misc]simplify: Extracting #6: cost 0 inf + 16957 * [exit]simplify: Simplified to (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (* (/ (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))) (sqrt (+ (log1p (exp x)) (* y x)))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 964 * [exit]simplify: Simplified to (sqrt (- (log1p (exp x)) (* y x))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (* (fabs (sqrt (- (log1p (exp x)) (* y x)))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 43 * * [misc]simplify: Extracting #3: cost 3 inf + 441 * * [misc]simplify: Extracting #4: cost 0 inf + 1205 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (+ (- (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 371 * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))))) * * * * [misc]progress: [ 34 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 43 * * [misc]simplify: Extracting #3: cost 2 inf + 440 * * [misc]simplify: Extracting #4: cost 0 inf + 883 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (+ (- (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 371 * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))))) * * * * [misc]progress: [ 35 / 86 ] 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: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 209 * * [misc]simplify: Extracting #3: cost 1 inf + 441 * * [misc]simplify: Extracting #4: cost 0 inf + 683 * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (+ (- (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 371 * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (+ (- (log1p (exp x)) (* x y)) (- (* x y) (* x y)))))) * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 755 * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))))) * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 434 * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x)))))) * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 73 * * [misc]simplify: Extracting #4: cost 0 inf + 674 * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* x y))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (log (/ (+ 1 (exp x)) (exp (* x y))))))) * * * * [misc]progress: [ 42 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 74 * * [misc]simplify: Extracting #4: cost 6 inf + 1007 * * [misc]simplify: Extracting #5: cost 0 inf + 2327 * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (log (exp (- (log1p (exp x)) (* y x))))))) * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 43 * * [misc]simplify: Extracting #3: cost 3 inf + 441 * * [misc]simplify: Extracting #4: cost 0 inf + 1205 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (* (sqrt (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* x y)))) (sqrt (- (log1p (exp x)) (* y x))))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 371 * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (* (sqrt (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 55 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 43 * * [misc]simplify: Extracting #3: cost 2 inf + 440 * * [misc]simplify: Extracting #4: cost 0 inf + 883 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (* (sqrt (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* x y)))) (sqrt (- (log1p (exp x)) (* y x))))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 371 * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (* (sqrt (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 56 / 86 ] 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: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 209 * * [misc]simplify: Extracting #3: cost 1 inf + 441 * * [misc]simplify: Extracting #4: cost 0 inf + 683 * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (* (sqrt (+ (- (log1p (exp x)) (* x y)) (fma (- x) y (* x y)))) (sqrt (- (log1p (exp x)) (* y x))))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 371 * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (* (sqrt (+ (- (log1p (exp x)) (* x y)) (- (* x y) (* x y)))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 755 * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (* (sqrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 434 * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (* (sqrt (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x)))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 73 * * [misc]simplify: Extracting #4: cost 0 inf + 674 * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* x y))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (* (sqrt (log (/ (+ 1 (exp x)) (exp (* x y))))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 63 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 74 * * [misc]simplify: Extracting #4: cost 6 inf + 1007 * * [misc]simplify: Extracting #5: cost 0 inf + 2327 * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (* (sqrt (log (exp (- (log1p (exp x)) (* y x))))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (sqrt (log 2)))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 49 inf + 0 * * [misc]simplify: Extracting #2: cost 71 inf + 127 * * [misc]simplify: Extracting #3: cost 57 inf + 1398 * * [misc]simplify: Extracting #4: cost 55 inf + 1646 * * [misc]simplify: Extracting #5: cost 39 inf + 5873 * * [misc]simplify: Extracting #6: cost 6 inf + 18593 * * [misc]simplify: Extracting #7: cost 0 inf + 21358 * * [misc]simplify: Extracting #8: cost 0 inf + 21278 * * [misc]simplify: Extracting #9: cost 0 inf + 21263 * [exit]simplify: Simplified to (fma x (* x (fma (sqrt (/ 1 (log 2))) 1/16 (* (sqrt (/ 1 (* (log 2) (* (log 2) (log 2))))) -1/32))) (fma (* (sqrt (/ 1 (log 2))) x) 1/4 (sqrt (log 2)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (fma x (* x (fma (sqrt (/ 1 (log 2))) 1/16 (* (sqrt (/ 1 (* (log 2) (* (log 2) (log 2))))) -1/32))) (fma (* (sqrt (/ 1 (log 2))) x) 1/4 (sqrt (log 2)))))) * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (log (+ (exp x) 1)) x)) (- (+ (* +nan.0 (/ (* (log (+ (exp x) 1)) y) (pow x 2))) (- (* +nan.0 y)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) +nan.0)) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (log (+ (exp x) 1)) x)) (- (+ (* +nan.0 (/ (* (log (+ (exp x) 1)) y) (pow x 2))) (- (* +nan.0 y)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) +nan.0)) * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/16 (* (sqrt (/ 1 (log 2))) (pow x 2))) (+ (* 1/4 (* (sqrt (/ 1 (log 2))) x)) (sqrt (log 2)))) (* 1/32 (* (sqrt (/ 1 (pow (log 2) 3))) (pow x 2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 49 inf + 0 * * [misc]simplify: Extracting #2: cost 71 inf + 127 * * [misc]simplify: Extracting #3: cost 57 inf + 1398 * * [misc]simplify: Extracting #4: cost 55 inf + 1646 * * [misc]simplify: Extracting #5: cost 39 inf + 5873 * * [misc]simplify: Extracting #6: cost 6 inf + 18593 * * [misc]simplify: Extracting #7: cost 0 inf + 21358 * * [misc]simplify: Extracting #8: cost 0 inf + 21278 * * [misc]simplify: Extracting #9: cost 0 inf + 21263 * [exit]simplify: Simplified to (fma x (* x (fma (sqrt (/ 1 (log 2))) 1/16 (* (sqrt (/ 1 (* (log 2) (* (log 2) (log 2))))) -1/32))) (fma (* (sqrt (/ 1 (log 2))) x) 1/4 (sqrt (log 2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (fma x (* x (fma (sqrt (/ 1 (log 2))) 1/16 (* (sqrt (/ 1 (* (log 2) (* (log 2) (log 2))))) -1/32))) (fma (* (sqrt (/ 1 (log 2))) x) 1/4 (sqrt (log 2)))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (log (+ (exp x) 1)) x)) (- (+ (* +nan.0 (/ (* (log (+ (exp x) 1)) y) (pow x 2))) (- (* +nan.0 y)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* +nan.0 (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (log (+ (exp x) 1)) x)) (- (+ (* +nan.0 (/ (* (log (+ (exp x) 1)) y) (pow x 2))) (- (* +nan.0 y)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* +nan.0 (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 81 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 61 * * [misc]simplify: Extracting #3: cost 4 inf + 367 * * [misc]simplify: Extracting #4: cost 2 inf + 622 * * [misc]simplify: Extracting #5: cost 0 inf + 918 * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (fma x (fma 1/8 x 1/2) (log 2))))) * * * * [misc]progress: [ 82 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 2 * * [misc]simplify: Extracting #3: cost 2 inf + 682 * * [misc]simplify: Extracting #4: cost 1 inf + 683 * * [misc]simplify: Extracting #5: cost 0 inf + 795 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 83 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 2 * * [misc]simplify: Extracting #3: cost 2 inf + 682 * * [misc]simplify: Extracting #4: cost 1 inf + 683 * * [misc]simplify: Extracting #5: cost 0 inf + 795 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 84 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 61 * * [misc]simplify: Extracting #3: cost 4 inf + 367 * * [misc]simplify: Extracting #4: cost 2 inf + 622 * * [misc]simplify: Extracting #5: cost 0 inf + 918 * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (* (sqrt (fma x (fma 1/8 x 1/2) (log 2))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 85 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 2 * * [misc]simplify: Extracting #3: cost 2 inf + 682 * * [misc]simplify: Extracting #4: cost 1 inf + 683 * * [misc]simplify: Extracting #5: cost 0 inf + 795 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 86 / 86 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 2 * * [misc]simplify: Extracting #3: cost 2 inf + 682 * * [misc]simplify: Extracting #4: cost 1 inf + 683 * * [misc]simplify: Extracting #5: cost 0 inf + 795 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (exp x)) (exp (* y x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp x)) (exp (* y x)))) in y * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) (exp (* y x))) in y * [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]taylor: Taking taylor expansion of (exp (* 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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 (exp x)) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (/ (+ (exp x) 1) 1) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp x)) (exp (* y x)))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) (exp (* y x))) in 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]taylor: Taking taylor expansion of (exp (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp x)) (exp (* y x)))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) (exp (* y x))) in 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]taylor: Taking taylor expansion of (exp (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (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 (* (exp 0) (+ (* (/ (pow y 1) 1)))) into y * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ y 1)))) into (- 1 (* 2 y)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1 (* 2 y))) 1)) (pow 2 1)))) 1) 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 (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ (* 1/2 (pow y 2)) 1)) (* (- 1 (* 2 y)) (/ y 1)))) into (- (+ (pow y 2) 1/2) y) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1 (* 2 y))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (pow y 2) 1/2) y)) 1)) (pow 2 1)))) 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 (log (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x)))) in 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]taylor: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x)))) in 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]taylor: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) in y * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 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]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in y * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 2) 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 (- (+ (* (/ 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 (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ 1 (/ 1 x))) 1) (exp (/ 1 (* (/ 1 x) (/ 1 y)))))) into (log (/ (+ (exp x) 1) (exp (* x y)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]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]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in 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]taylor: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in 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]taylor: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) in y * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 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]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in y * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) into (log (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (+ (exp (/ -1 (/ 1 (- x)))) 1) (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y))))))) into (log (/ (+ (exp x) 1) (exp (* x y)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ 1 (exp x)) in (x) around 0 * [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]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 2 into 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 into 1 * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in (x) around 0 * [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]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 (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (/ 1 x))) 1) into (+ (exp x) 1) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in (x) around 0 * [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]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 (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ -1 (/ 1 (- x)))) 1) into (+ (exp x) 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (exp x)) (exp (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) (exp (* y x))) in y * [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]taylor: Taking taylor expansion of (exp (* 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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 (exp x)) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (/ (+ (exp x) 1) 1) into (+ (exp x) 1) * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) (exp (* y x))) in 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]taylor: Taking taylor expansion of (exp (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) (exp (* y x))) in 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]taylor: Taking taylor expansion of (exp (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 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 (* (exp 0) (+ (* (/ (pow y 1) 1)))) into y * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 2 (/ y 1)))) into (- 1 (* 2 y)) * [misc]taylor: Taking taylor expansion of (- 1 (* 2 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 (* 2 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 y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ (* 1/2 (pow y 2)) 1)) (* (- 1 (* 2 y)) (/ y 1)))) into (- (+ (pow y 2) 1/2) y) * [misc]taylor: Taking taylor expansion of (- (+ (pow y 2) 1/2) y) in y * [misc]taylor: Taking taylor expansion of (+ (pow y 2) 1/2) in y * [misc]taylor: Taking taylor expansion of (pow y 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]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 1/2) into 1/2 * [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 (pow (* 1 x) 2)) (+ (* 1 (* 1 x)) 2)) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x)))) in 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]taylor: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (exp (* (/ 1 y) (/ 1 x)))) in 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]taylor: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) 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]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in y * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x 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 (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x 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 (- (+ (* (/ 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 (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ 1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x 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 (/ (+ (exp (/ 1 (/ 1 x))) 1) (exp (/ 1 (* (/ 1 x) (/ 1 y))))) into (/ (+ (exp x) 1) (exp (* x y))) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]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]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in 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]taylor: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in 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]taylor: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) 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]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in y * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) into (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x 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 (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x 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 (- (/ 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 (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ (+ (exp (/ -1 x)) 1) (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x 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 (/ (+ (exp (/ -1 (/ 1 (- x)))) 1) (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y)))))) into (/ (+ (exp x) 1) (exp (* x y))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (exp (* y x)) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* 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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* 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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [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 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 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]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]taylor: Taking 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]taylor: Taking 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* x y) 2)) (+ (* 1 (* x y)) 1)) into (+ (* 1/2 (* (pow x 2) (pow y 2))) (+ 1 (* x y))) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in x * [misc]taylor: Taking taylor expansion of (* x y) in x * [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 in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 y)) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [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]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 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 (exp (/ 1 (* (/ 1 x) (/ 1 y)))) into (exp (* x y)) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in x * [misc]taylor: Taking taylor expansion of (* x y) in x * [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 in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 y)) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [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]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 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 (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y))))) into (exp (* x y)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 (exp x)) (exp (* y x)))) (cbrt (/ (+ 1 (exp x)) (exp (* y x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 73 * * [misc]simplify: Extracting #7: cost 6 inf + 299 * * [misc]simplify: Extracting #8: cost 4 inf + 674 * * [misc]simplify: Extracting #9: cost 1 inf + 1813 * * [misc]simplify: Extracting #10: cost 0 inf + 2266 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ 1 (exp x)) (exp (* x y)))) (cbrt (/ (+ 1 (exp x)) (exp (* x y)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (* (cbrt (/ (+ 1 (exp x)) (exp (* x y)))) (cbrt (/ (+ 1 (exp x)) (exp (* x y)))))) (log (cbrt (/ (+ 1 (exp x)) (exp (* y x))))))) * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 (exp x)) (exp (* y x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 73 * * [misc]simplify: Extracting #6: cost 0 inf + 1350 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) (exp (* x y))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (sqrt (/ (+ 1 (exp x)) (exp (* x y))))) (log (sqrt (/ (+ 1 (exp x)) (exp (* y x))))))) * * * * [misc]progress: [ 5 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (* (cbrt (exp (* y x))) (cbrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 2 * * [misc]simplify: Extracting #6: cost 26 inf + 1591 * * [misc]simplify: Extracting #7: cost 4 inf + 11188 * * [misc]simplify: Extracting #8: cost 0 inf + 12869 * [exit]simplify: Simplified to (log (* (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x)))) (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (* (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x)))) (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x)))))) (log (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 6 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt (exp (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 2 * * [misc]simplify: Extracting #6: cost 12 inf + 1209 * * [misc]simplify: Extracting #7: cost 1 inf + 5418 * * [misc]simplify: Extracting #8: cost 0 inf + 5760 * [exit]simplify: Simplified to (log (/ (cbrt (+ 1 (exp x))) (/ (sqrt (exp (* y x))) (cbrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (/ (cbrt (+ 1 (exp x))) (/ (sqrt (exp (* y x))) (cbrt (+ 1 (exp x)))))) (log (/ (cbrt (+ 1 (exp x))) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 2 * * [misc]simplify: Extracting #4: cost 9 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 2 * * [misc]simplify: Extracting #6: cost 1 inf + 1708 * * [misc]simplify: Extracting #7: cost 0 inf + 2050 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (log (/ (cbrt (+ 1 (exp x))) (exp (* y x)))))) * * * * [misc]progress: [ 8 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ 1 (exp x))) (* (cbrt (exp (* y x))) (cbrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 2 * * [misc]simplify: Extracting #6: cost 18 inf + 822 * * [misc]simplify: Extracting #7: cost 12 inf + 1773 * * [misc]simplify: Extracting #8: cost 4 inf + 4954 * * [misc]simplify: Extracting #9: cost 1 inf + 6201 * * [misc]simplify: Extracting #10: cost 0 inf + 6583 * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ 1 (exp x))) (cbrt (exp (* y x)))) (cbrt (exp (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (/ (/ (sqrt (+ 1 (exp x))) (cbrt (exp (* y x)))) (cbrt (exp (* y x))))) (log (/ (sqrt (+ 1 (exp x))) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 10 inf + 186 * * [misc]simplify: Extracting #7: cost 5 inf + 785 * * [misc]simplify: Extracting #8: cost 1 inf + 1764 * * [misc]simplify: Extracting #9: cost 0 inf + 2177 * [exit]simplify: Simplified to (log (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x))))) (log (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 10 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ 1 (exp x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 2 * * [misc]simplify: Extracting #4: cost 5 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 560 * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (sqrt (+ 1 (exp x)))) (log (/ (sqrt (+ 1 (exp x))) (exp (* y x)))))) * * * * [misc]progress: [ 11 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (exp (* y x))) (cbrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 3 * * [misc]simplify: Extracting #6: cost 13 inf + 117 * * [misc]simplify: Extracting #7: cost 11 inf + 421 * * [misc]simplify: Extracting #8: cost 1 inf + 3273 * * [misc]simplify: Extracting #9: cost 0 inf + 3615 * [exit]simplify: Simplified to (- (+ (log (cbrt (exp (* x y)))) (log (cbrt (exp (* x y)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (+ (log (cbrt (exp (* x y)))) (log (cbrt (exp (* x y)))))) (log (/ (+ 1 (exp x)) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 12 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (exp (* y x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 2 * * [misc]simplify: Extracting #5: cost 8 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 1059 * * [misc]simplify: Extracting #7: cost 0 inf + 1058 * [exit]simplify: Simplified to (- (log (sqrt (exp (* x y))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 13 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (x y) (+ 0 (log (/ (+ 1 (exp x)) (exp (* y x)))))) * * * * [misc]progress: [ 14 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (x y) (+ 0 (log (/ (+ 1 (exp x)) (exp (* y x)))))) * * * * [misc]progress: [ 15 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 1 inf + 234 * * [misc]simplify: Extracting #4: cost 0 inf + 346 * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log1p (exp x)) (log (/ 1 (exp (* y x)))))) * * * * [misc]progress: [ 16 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 1 inf + 234 * * [misc]simplify: Extracting #4: cost 0 inf + 346 * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log1p (exp x)) (log (exp (* y x))))) * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 1 inf + 234 * * [misc]simplify: Extracting #4: cost 0 inf + 346 * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 20 / 92 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 73 * * [misc]simplify: Extracting #4: cost 0 inf + 674 * [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: [ 21 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 167 * * [misc]simplify: Extracting #3: cost 4 inf + 279 * * [misc]simplify: Extracting #4: cost 1 inf + 683 * * [misc]simplify: Extracting #5: cost 0 inf + 795 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (exp (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))) (* (* (exp (* y x)) (exp (* y x))) (exp (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 119 inf + 2 * * [misc]simplify: Extracting #3: cost 131 inf + 236 * * [misc]simplify: Extracting #4: cost 108 inf + 4263 * * [misc]simplify: Extracting #5: cost 26 inf + 28163 * * [misc]simplify: Extracting #6: cost 0 inf + 35297 * [exit]simplify: Simplified to (* (* (/ (+ 1 (exp x)) (exp (* y x))) (/ (+ 1 (exp x)) (exp (* y x)))) (/ (+ 1 (exp x)) (exp (* y x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (cbrt (* (* (/ (+ 1 (exp x)) (exp (* y x))) (/ (+ 1 (exp x)) (exp (* y x)))) (/ (+ 1 (exp x)) (exp (* y x))))))) * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 2 * * [misc]simplify: Extracting #5: cost 11 inf + 299 * * [misc]simplify: Extracting #6: cost 6 inf + 1450 * * [misc]simplify: Extracting #7: cost 0 inf + 3957 * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x)))) (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (* (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x)))) (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x))))) (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 73 * * [misc]simplify: Extracting #5: cost 0 inf + 1218 * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) (/ (cbrt (+ 1 (exp x))) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 7 inf + 299 * * [misc]simplify: Extracting #6: cost 2 inf + 1370 * * [misc]simplify: Extracting #7: cost 0 inf + 2176 * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (/ (cbrt (+ 1 (exp x))) (sqrt (exp (* y x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (* (cbrt (+ 1 (exp x))) (/ (cbrt (+ 1 (exp x))) (sqrt (exp (* y x))))) (/ (cbrt (+ 1 (exp x))) (sqrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 (exp x))) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 73 * * [misc]simplify: Extracting #5: cost 0 inf + 1138 * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp x))) (sqrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt (exp (* y x)))) (/ (cbrt (+ 1 (exp x))) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 2 inf + 377 * * [misc]simplify: Extracting #6: cost 0 inf + 841 * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (/ (cbrt (+ 1 (exp x))) (exp (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 (exp x))) (exp (* y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 299 * * [misc]simplify: Extracting #5: cost 0 inf + 946 * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp x))) (exp (* y x))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (/ (cbrt (+ 1 (exp x))) (exp (* y x)))))) * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (exp x))) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 73 * * [misc]simplify: Extracting #5: cost 7 inf + 257 * * [misc]simplify: Extracting #6: cost 4 inf + 563 * * [misc]simplify: Extracting #7: cost 1 inf + 1370 * * [misc]simplify: Extracting #8: cost 0 inf + 1793 * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 (exp x))) (cbrt (exp (* y x)))) (cbrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (/ (/ (sqrt (+ 1 (exp x))) (cbrt (exp (* y x)))) (cbrt (exp (* y x)))) (/ (sqrt (+ 1 (exp x))) (cbrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 (exp x))) (cbrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 73 * * [misc]simplify: Extracting #5: cost 0 inf + 1138 * [exit]simplify: Simplified to (/ (sqrt (+ 1 (exp x))) (cbrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ (sqrt (+ 1 (exp x))) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) (/ (sqrt (+ 1 (exp x))) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 73 * * [misc]simplify: Extracting #5: cost 0 inf + 1058 * [exit]simplify: Simplified to (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x)))) (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 73 * * [misc]simplify: Extracting #5: cost 0 inf + 1058 * [exit]simplify: Simplified to (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x)))) (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 337 * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (sqrt (+ 1 (exp x))) (/ (sqrt (+ 1 (exp x))) (exp (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 (exp x))) (exp (* y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 299 * * [misc]simplify: Extracting #5: cost 0 inf + 866 * [exit]simplify: Simplified to (/ (sqrt (+ 1 (exp x))) (exp (* y x))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (sqrt (+ 1 (exp x))) (/ (sqrt (+ 1 (exp x))) (exp (* y x)))))) * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 1158 * [exit]simplify: Simplified to (/ 1 (* (cbrt (exp (* x y))) (cbrt (exp (* x y))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (/ 1 (* (cbrt (exp (* x y))) (cbrt (exp (* x y))))) (/ (+ 1 (exp x)) (cbrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (+ 1 (exp x)) (cbrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 185 * * [misc]simplify: Extracting #5: cost 0 inf + 946 * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (cbrt (exp (* x y)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ 1 (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) (/ (+ 1 (exp x)) (cbrt (exp (* x y))))))) * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 573 * [exit]simplify: Simplified to (/ 1 (sqrt (exp (* x y)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (/ 1 (sqrt (exp (* x y)))) (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (+ 1 (exp x)) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 185 * * [misc]simplify: Extracting #5: cost 0 inf + 866 * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (sqrt (exp (* x y)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ 1 (sqrt (exp (* y x)))) (/ (+ 1 (exp x)) (sqrt (exp (* x y))))))) * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* 1 (/ (+ 1 (exp x)) (exp (* y x)))))) * [enter]simplify: Simplifying (/ (+ 1 (exp x)) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 73 * * [misc]simplify: Extracting #4: cost 0 inf + 674 * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* x y))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* 1 (/ (+ 1 (exp x)) (exp (* x y)))))) * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (* y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 419 * [exit]simplify: Simplified to (cbrt (exp (* y x))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (/ (/ (+ 1 (exp x)) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) (cbrt (exp (* y x)))))) * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 379 * [exit]simplify: Simplified to (sqrt (exp (* y x))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (/ (/ (+ 1 (exp x)) (sqrt (exp (* y x)))) (sqrt (exp (* y x)))))) * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* y x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 3 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 227 * [exit]simplify: Simplified to (exp (* y x)) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (/ (/ (+ 1 (exp x)) 1) (exp (* y x))))) * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 609 * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (/ (exp (* y x)) (cbrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 337 * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (sqrt (+ 1 (exp x))) (/ (exp (* y x)) (sqrt (+ 1 (exp x))))))) * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (exp x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 790 * * [misc]simplify: Extracting #4: cost 0 inf + 625 * [exit]simplify: Simplified to (fma (* (exp x) (exp x)) (exp x) 1) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (fma (* (exp x) (exp x)) (exp x) 1) (* (exp (* y x)) (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (exp x) (exp x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 639 * [exit]simplify: Simplified to (- 1 (* (exp x) (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (- 1 (* (exp x) (exp x))) (* (exp (* y x)) (- 1 (exp x)))))) * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp y) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 72 * [exit]simplify: Simplified to (exp y) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (log (/ (+ 1 (exp x)) (pow (exp y) x)))) * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* y x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (* y x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (log (/ (+ 1 (exp x)) (exp (* y x))))) * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 92 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 61 * * [misc]simplify: Extracting #3: cost 4 inf + 367 * * [misc]simplify: Extracting #4: cost 2 inf + 622 * * [misc]simplify: Extracting #5: cost 0 inf + 918 * [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: [ 82 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp x) 1) (exp (* x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 2 * * [misc]simplify: Extracting #3: cost 4 inf + 552 * * [misc]simplify: Extracting #4: cost 0 inf + 1170 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp x) 1) (exp (* x y)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 2 * * [misc]simplify: Extracting #3: cost 4 inf + 552 * * [misc]simplify: Extracting #4: cost 0 inf + 1170 * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/2 (pow x 2)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 3 * * [misc]simplify: Extracting #3: cost 4 inf + 226 * * [misc]simplify: Extracting #4: cost 0 inf + 578 * [exit]simplify: Simplified to (fma (fma x 1/2 1) x 2) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (fma (fma x 1/2 1) x 2) (exp (* y x))))) * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 185 * [exit]simplify: Simplified to (+ (exp x) 1) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (+ (exp x) 1) (exp (* y x))))) * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 185 * [exit]simplify: Simplified to (+ (exp x) 1) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (+ (exp x) 1) (exp (* y x))))) * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/2 (pow x 2)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 3 * * [misc]simplify: Extracting #3: cost 4 inf + 226 * * [misc]simplify: Extracting #4: cost 0 inf + 578 * [exit]simplify: Simplified to (fma (fma x 1/2 1) x 2) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (fma (fma x 1/2 1) x 2))) * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp x) 1) (exp (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 2 * * [misc]simplify: Extracting #4: cost 5 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 603 * [exit]simplify: Simplified to (/ (+ (exp x) 1) (exp (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (+ (exp x) 1) (exp (* y x))))) * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp x) 1) (exp (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 2 * * [misc]simplify: Extracting #4: cost 5 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 603 * [exit]simplify: Simplified to (/ (+ (exp x) 1) (exp (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (+ (exp x) 1) (exp (* y x))))) * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (pow x 2) (pow y 2))) (+ 1 (* x y))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 128 * * [misc]simplify: Extracting #3: cost 3 inf + 2103 * * [misc]simplify: Extracting #4: cost 0 inf + 2592 * [exit]simplify: Simplified to (+ 1 (fma 1/2 (* (* x y) (* x y)) (* x y))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (/ (+ 1 (exp x)) (+ 1 (fma 1/2 (* (* x y) (* x y)) (* x y)))))) * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x y)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 3 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 227 * [exit]simplify: Simplified to (exp (* x y)) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (/ (+ 1 (exp x)) (exp (* x y))))) * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x y)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 3 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 227 * [exit]simplify: Simplified to (exp (* x y)) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (/ (+ 1 (exp x)) (exp (* x y))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log (sqrt (exp (* x y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (* x y)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (exp (* x y))) in y * [misc]taylor: Taking taylor expansion of (exp (* x y)) in y * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (* x y)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* x y))) in x * [misc]taylor: Taking taylor expansion of (exp (* x y)) in x * [misc]taylor: Taking taylor expansion of (* x y) in x * [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 in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 y)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 1) 1)))) into y * [misc]backup-simplify: Simplify (/ y (* 2 (sqrt 1))) into (* 1/2 y) * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (* x y)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* x y))) in x * [misc]taylor: Taking taylor expansion of (exp (* x y)) in x * [misc]taylor: Taking taylor expansion of (* x y) in x * [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 in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 y)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 1) 1)))) into y * [misc]backup-simplify: Simplify (/ y (* 2 (sqrt 1))) into (* 1/2 y) * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 y)) 1)) (pow 1 1)))) 1) 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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow y 2)) (pow (* 1/2 y) 2) (+)) (* 2 1)) into (* 1/8 (pow y 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 y)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/8 (pow y 2))) 1)) (pow 1 1)))) 2) 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 (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 3) 6)) (* (/ (pow y 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow y 3)) (+ (* 2 (* (* 1/2 y) (* 1/8 (pow y 2)))))) (* 2 1)) into (* 1/48 (pow y 3)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/2 y)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 1/2 y)) 1) (pow (* 2 (* 1/8 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/48 (pow y 3))) 1)) (pow 1 1)))) 6) 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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 4) 24)) (* (/ (pow y 2) 2) (/ (pow 0 1) 1)) (* (/ (pow y 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow y 4)) (pow (* 1/8 (pow y 2)) 2) (+ (* 2 (* (* 1/2 y) (* 1/48 (pow y 3)))))) (* 2 1)) into (* 1/384 (pow y 4)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* 1/2 y)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (* 1/2 y)) 2) (pow (* 2 (* 1/8 (pow y 2))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/8 (pow y 2))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (* 1/2 y)) 1) 1 (pow (* 6 (* 1/48 (pow y 3))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/384 (pow y 4))) 1)) (pow 1 1)))) 24) 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 (* 1/2 (* y x)) into (* 1/2 (* x y)) * [misc]approximate: Taking taylor expansion of (log (sqrt (exp (* (/ 1 x) (/ 1 y))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (* (/ 1 x) (/ 1 y))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 x) (/ 1 y)))) in y * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 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 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (* (/ 1 x) (/ 1 y))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 x) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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]backup-simplify: Simplify (* 1 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (* (/ 1 x) (/ 1 y))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 x) (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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]backup-simplify: Simplify (* 1 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (/ 1 (* x y))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* x y)))) in y * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in y * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (exp (/ 1 (* x y)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* (/ 1 x) (/ 1 y)))))) into (log (sqrt (exp (* x y)))) * [misc]approximate: Taking taylor expansion of (log (sqrt (exp (* (/ 1 (- x)) (/ 1 (- y)))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (* (/ 1 (- x)) (/ 1 (- y)))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- x)) (/ 1 (- y))))) in y * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- y)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (* (/ 1 (- x)) (/ 1 (- y)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- x)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (* -1 (/ -1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- y)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (* (/ 1 (- x)) (/ 1 (- y)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- x)) (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (* -1 (/ -1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- y)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (exp (/ 1 (* x y))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* x y)))) in y * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in y * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* x y))))) into (log (sqrt (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (exp (/ 1 (* x y)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (exp (/ 1 (* x y)))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y))))))) into (log (sqrt (exp (* x y)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))) in y * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) (sqrt (exp (* y x)))) in y * [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]taylor: Taking taylor expansion of (sqrt (exp (* y x))) in y * [misc]taylor: Taking taylor expansion of (exp (* 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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ 1 (exp x)) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (/ (+ (exp x) 1) 1) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) (sqrt (exp (* y x)))) in 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]taylor: Taking taylor expansion of (sqrt (exp (* y x))) in x * [misc]taylor: Taking taylor expansion of (exp (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 1) 1)))) into y * [misc]backup-simplify: Simplify (/ y (* 2 (sqrt 1))) into (* 1/2 y) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp x)) (sqrt (exp (* y x)))) in 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]taylor: Taking taylor expansion of (sqrt (exp (* y x))) in x * [misc]taylor: Taking taylor expansion of (exp (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 1) 1)))) into y * [misc]backup-simplify: Simplify (/ y (* 2 (sqrt 1))) into (* 1/2 y) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (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 1) (+ (* 2 (/ (* 1/2 y) 1)))) into (- 1 y) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1 y)) 1)) (pow 2 1)))) 1) into (- 1/2 (* 1/2 y)) * [misc]taylor: Taking taylor expansion of (- 1/2 (* 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 (* 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 (* 1/2 0) 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 (/ (* (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 (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow y 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow y 2)) (pow (* 1/2 y) 2) (+)) (* 2 1)) into (* 1/8 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 2 (/ (* 1/8 (pow y 2)) 1)) (* (- 1 y) (/ (* 1/2 y) 1)))) into (- (+ (* 1/4 (pow y 2)) 1/2) (* 1/2 y)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1 y)) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/4 (pow y 2)) 1/2) (* 1/2 y))) 1)) (pow 2 1)))) 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 (log (/ (+ 1 (exp (/ 1 x))) (sqrt (exp (* (/ 1 y) (/ 1 x)))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 x))) (sqrt (exp (* (/ 1 y) (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (sqrt (exp (* (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (sqrt (exp (/ 1 (* x y))))) into (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 x))) (sqrt (exp (* (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (sqrt (exp (* (/ 1 y) (/ 1 x))))) in 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]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (sqrt (exp (/ 1 (* x y))))) into (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 x))) (sqrt (exp (* (/ 1 y) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 x))) (sqrt (exp (* (/ 1 y) (/ 1 x))))) in 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]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ 1 x)) 1) (sqrt (exp (/ 1 (* x y))))) into (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (exp (/ 1 (* x y))))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (exp (/ 1 (* x y)))) in y * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in y * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 (* x y)))) into (/ 1 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (exp (/ 1 (* x y))))) into (sqrt (/ 1 (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (exp (/ 1 (* x y))))))) into 0 * [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 (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) into (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (exp (/ 1 (* x y))))) (+ (* (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) (/ 0 (sqrt (exp (/ 1 (* x y)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (+ (* (sqrt (/ 1 (exp (/ 1 (* x y))))) 0) (* 0 (+ (exp (/ 1 x)) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (exp (/ 1 (* x y))))) (+ (* (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) (/ 0 (sqrt (exp (/ 1 (* x y)))))) (* 0 (/ 0 (sqrt (exp (/ 1 (* x y)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) 1)))) 2) 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 (- (+ (* (/ 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 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (exp (/ 1 (* x y))))) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (exp (/ 1 (* x y))))) (+ (* (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) (/ 0 (sqrt (exp (/ 1 (* x y)))))) (* 0 (/ 0 (sqrt (exp (/ 1 (* x y)))))) (* 0 (/ 0 (sqrt (exp (/ 1 (* x y)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* (/ 1 x) (/ 1 y)))))) (+ (exp (/ 1 (/ 1 x))) 1))) into (log (* (sqrt (/ 1 (exp (* x y)))) (+ (exp x) 1))) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 (- x)))) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x))))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 (- x)))) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x))))))) in y * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]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]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (sqrt (exp (/ 1 (* x y))))) into (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 (- x)))) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in 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]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (sqrt (exp (/ 1 (* x y))))) into (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (exp (/ 1 (- x)))) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ (+ 1 (exp (/ 1 (- x)))) (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in 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]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* x y)))) into (sqrt (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (+ (exp (/ -1 x)) 1) (sqrt (exp (/ 1 (* x y))))) into (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (exp (/ 1 (* x y))))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (exp (/ 1 (* x y)))) in y * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in y * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 (* x y)))) into (/ 1 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (exp (/ 1 (* x y))))) into (sqrt (/ 1 (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (exp (/ 1 (* x y))))))) into 0 * [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 (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) into (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) into (log (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (exp (/ 1 (* x y))))) (+ (* (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) (/ 0 (sqrt (exp (/ 1 (* x y)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (exp (/ 1 (* x y))))) 0) (* 0 (+ (exp (/ -1 x)) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (exp (/ 1 (* x y))))) (+ (* (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) (/ 0 (sqrt (exp (/ 1 (* x y)))))) (* 0 (/ 0 (sqrt (exp (/ 1 (* x y)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* 0 (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (exp (/ 1 (* x y))))) 0) (+ (* 0 0) (* 0 (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* x y)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (exp (/ 1 (* x y))))) (+ (* (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) (/ 0 (sqrt (exp (/ 1 (* x y)))))) (* 0 (/ 0 (sqrt (exp (/ 1 (* x y)))))) (* 0 (/ 0 (sqrt (exp (/ 1 (* x y)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (exp (/ 1 (* x y))))) (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (* (sqrt (/ 1 (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y))))))) (+ (exp (/ -1 (/ 1 (- x)))) 1))) into (log (* (sqrt (/ 1 (exp (* x y)))) (+ (exp x) 1))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (+ 1 (exp x)) in (x) around 0 * [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]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 2 into 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 into 1 * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in (x) around 0 * [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]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 (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (/ 1 x))) 1) into (+ (exp x) 1) * [misc]approximate: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in (x) around 0 * [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]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 (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ -1 (/ 1 (- x)))) 1) into (+ (exp x) 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (exp (* y x)) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* 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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* 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]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [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 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 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]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]taylor: Taking 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]taylor: Taking 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* x y) 2)) (+ (* 1 (* x y)) 1)) into (+ (* 1/2 (* (pow x 2) (pow y 2))) (+ 1 (* x y))) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 y) (/ 1 x))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in x * [misc]taylor: Taking taylor expansion of (* x y) in x * [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 in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 y)) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [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]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 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 (exp (/ 1 (* (/ 1 x) (/ 1 y)))) into (exp (* x y)) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 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]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- y)) (/ 1 (- x)))) into (exp (/ 1 (* x y))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x y)) in x * [misc]taylor: Taking taylor expansion of (* x y) in x * [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 in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 y)) into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [misc]backup-simplify: Simplify (exp (/ 1 (* x y))) into (exp (/ 1 (* x y))) * [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]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 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 (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y))))) into (exp (* x y)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (sqrt (exp (* x y)))) (cbrt (sqrt (exp (* x y)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 2 * * [misc]simplify: Extracting #8: cost 0 inf + 1527 * [exit]simplify: Simplified to (log (* (cbrt (sqrt (exp (* x y)))) (cbrt (sqrt (exp (* x y)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (+ (- (+ (log (* (cbrt (sqrt (exp (* x y)))) (cbrt (sqrt (exp (* x y)))))) (log (cbrt (sqrt (exp (* x y))))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 4 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* (cbrt (exp (* x y))) (cbrt (exp (* x y)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 2 * * [misc]simplify: Extracting #7: cost 0 inf + 1185 * [exit]simplify: Simplified to (log (fabs (cbrt (exp (* x y))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (+ (- (+ (log (fabs (cbrt (exp (* x y))))) (log (sqrt (cbrt (exp (* x y))))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 5 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (exp (* x y))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 2 * * [misc]simplify: Extracting #7: cost 0 inf + 833 * [exit]simplify: Simplified to (log (sqrt (sqrt (exp (* x y))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (+ (- (+ (log (sqrt (sqrt (exp (* x y))))) (log (sqrt (sqrt (exp (* x y))))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 6 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (+ (- (+ 0 (log (sqrt (exp (* x y)))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 7 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (exp (* x y))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 2 * * [misc]simplify: Extracting #7: cost 0 inf + 833 * [exit]simplify: Simplified to (log (sqrt (sqrt (exp (* x y))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (+ (- (+ (log (sqrt (sqrt (exp (* x y))))) (log (sqrt (sqrt (exp (* x y))))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 8 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (+ (- (+ 0 (log (sqrt (exp (* x y)))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 9 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* x y))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 379 * [exit]simplify: Simplified to (sqrt (exp (* x y))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 13 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 (exp x)) (sqrt (exp (* y x))))) (cbrt (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 2 * * [misc]simplify: Extracting #8: cost 7 inf + 299 * * [misc]simplify: Extracting #9: cost 5 inf + 563 * * [misc]simplify: Extracting #10: cost 3 inf + 1249 * * [misc]simplify: Extracting #11: cost 0 inf + 2618 * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ 1 (exp x)) (sqrt (exp (* x y)))))) (log (cbrt (/ (+ 1 (exp x)) (sqrt (exp (* x y))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (+ (log (cbrt (/ (+ 1 (exp x)) (sqrt (exp (* x y)))))) (log (cbrt (/ (+ 1 (exp x)) (sqrt (exp (* x y))))))) (log (cbrt (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 22 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 (exp x)) (sqrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 185 * * [misc]simplify: Extracting #7: cost 0 inf + 1622 * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 (exp x)) (sqrt (exp (* x y)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (sqrt (/ (+ 1 (exp x)) (sqrt (exp (* x y)))))) (log (sqrt (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 23 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (* (cbrt (sqrt (exp (* y x)))) (cbrt (sqrt (exp (* y x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 1 * * [misc]simplify: Extracting #6: cost 38 inf + 2 * * [misc]simplify: Extracting #7: cost 27 inf + 1551 * * [misc]simplify: Extracting #8: cost 11 inf + 8843 * * [misc]simplify: Extracting #9: cost 0 inf + 14021 * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ 1 (exp x))) (cbrt (sqrt (exp (* y x)))))) (log (/ (cbrt (+ 1 (exp x))) (cbrt (sqrt (exp (* y x))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (+ (log (/ (cbrt (+ 1 (exp x))) (cbrt (sqrt (exp (* y x)))))) (log (/ (cbrt (+ 1 (exp x))) (cbrt (sqrt (exp (* y x))))))) (log (/ (cbrt (+ 1 (exp x))) (cbrt (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 24 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 1 * * [misc]simplify: Extracting #6: cost 24 inf + 2 * * [misc]simplify: Extracting #7: cost 15 inf + 1027 * * [misc]simplify: Extracting #8: cost 4 inf + 5675 * * [misc]simplify: Extracting #9: cost 0 inf + 6984 * [exit]simplify: Simplified to (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (fabs (cbrt (exp (* y x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (fabs (cbrt (exp (* y x)))))) (log (/ (cbrt (+ 1 (exp x))) (sqrt (cbrt (exp (* y x))))))))) * * * * [misc]progress: [ 25 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt (sqrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 23 inf + 2 * * [misc]simplify: Extracting #7: cost 12 inf + 1551 * * [misc]simplify: Extracting #8: cost 2 inf + 5437 * * [misc]simplify: Extracting #9: cost 0 inf + 6312 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (/ (cbrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (* (cbrt (+ 1 (exp x))) (/ (cbrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x))))))) (log (/ (cbrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 26 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 2 * * [misc]simplify: Extracting #5: cost 9 inf + 2 * * [misc]simplify: Extracting #6: cost 6 inf + 186 * * [misc]simplify: Extracting #7: cost 0 inf + 1708 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (log (/ (cbrt (+ 1 (exp x))) (sqrt (exp (* y x)))))))) * * * * [misc]progress: [ 27 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (sqrt (sqrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 23 inf + 2 * * [misc]simplify: Extracting #7: cost 12 inf + 1551 * * [misc]simplify: Extracting #8: cost 2 inf + 5437 * * [misc]simplify: Extracting #9: cost 0 inf + 6312 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (/ (cbrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (* (cbrt (+ 1 (exp x))) (/ (cbrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x))))))) (log (/ (cbrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 28 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 2 * * [misc]simplify: Extracting #4: cost 9 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 2 * * [misc]simplify: Extracting #6: cost 1 inf + 1708 * * [misc]simplify: Extracting #7: cost 0 inf + 2050 * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (log (/ (cbrt (+ 1 (exp x))) (sqrt (exp (* y x)))))))) * * * * [misc]progress: [ 29 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ 1 (exp x))) (* (cbrt (sqrt (exp (* y x)))) (cbrt (sqrt (exp (* y x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 25 inf + 2 * * [misc]simplify: Extracting #7: cost 20 inf + 560 * * [misc]simplify: Extracting #8: cost 14 inf + 1431 * * [misc]simplify: Extracting #9: cost 5 inf + 5204 * * [misc]simplify: Extracting #10: cost 2 inf + 6531 * * [misc]simplify: Extracting #11: cost 1 inf + 6913 * * [misc]simplify: Extracting #12: cost 0 inf + 7335 * [exit]simplify: Simplified to (log (/ (sqrt (+ 1 (exp x))) (* (cbrt (sqrt (exp (* y x)))) (cbrt (sqrt (exp (* y x))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (/ (sqrt (+ 1 (exp x))) (* (cbrt (sqrt (exp (* y x)))) (cbrt (sqrt (exp (* y x))))))) (log (/ (sqrt (+ 1 (exp x))) (cbrt (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 30 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ 1 (exp x))) (sqrt (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 2 * * [misc]simplify: Extracting #7: cost 12 inf + 186 * * [misc]simplify: Extracting #8: cost 7 inf + 785 * * [misc]simplify: Extracting #9: cost 2 inf + 2166 * * [misc]simplify: Extracting #10: cost 0 inf + 3001 * [exit]simplify: Simplified to (log (/ (sqrt (+ 1 (exp x))) (fabs (cbrt (exp (* y x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (/ (sqrt (+ 1 (exp x))) (fabs (cbrt (exp (* y x)))))) (log (/ (sqrt (+ 1 (exp x))) (sqrt (cbrt (exp (* y x))))))))) * * * * [misc]progress: [ 31 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 2 * * [misc]simplify: Extracting #7: cost 10 inf + 257 * * [misc]simplify: Extracting #8: cost 6 inf + 785 * * [misc]simplify: Extracting #9: cost 3 inf + 1391 * * [misc]simplify: Extracting #10: cost 0 inf + 2529 * [exit]simplify: Simplified to (log (/ (sqrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (/ (sqrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x)))))) (log (/ (sqrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 32 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ 1 (exp x))) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 2 * * [misc]simplify: Extracting #4: cost 5 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 560 * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (sqrt (+ 1 (exp x)))) (log (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x)))))))) * * * * [misc]progress: [ 33 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 2 * * [misc]simplify: Extracting #7: cost 10 inf + 257 * * [misc]simplify: Extracting #8: cost 6 inf + 785 * * [misc]simplify: Extracting #9: cost 3 inf + 1391 * * [misc]simplify: Extracting #10: cost 0 inf + 2529 * [exit]simplify: Simplified to (log (/ (sqrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (/ (sqrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x)))))) (log (/ (sqrt (+ 1 (exp x))) (sqrt (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 34 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ 1 (exp x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 2 * * [misc]simplify: Extracting #4: cost 5 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 560 * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log (sqrt (+ 1 (exp x)))) (log (/ (sqrt (+ 1 (exp x))) (sqrt (exp (* y x)))))))) * * * * [misc]progress: [ 35 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (sqrt (exp (* y x)))) (cbrt (sqrt (exp (* y x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 2 * * [misc]simplify: Extracting #4: cost 14 inf + 2 * * [misc]simplify: Extracting #5: cost 17 inf + 2 * * [misc]simplify: Extracting #6: cost 17 inf + 3 * * [misc]simplify: Extracting #7: cost 15 inf + 46 * * [misc]simplify: Extracting #8: cost 12 inf + 381 * * [misc]simplify: Extracting #9: cost 5 inf + 2486 * * [misc]simplify: Extracting #10: cost 0 inf + 4247 * [exit]simplify: Simplified to (+ (- (log (cbrt (sqrt (exp (* x y)))))) (- (log (cbrt (sqrt (exp (* x y))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (+ (- (log (cbrt (sqrt (exp (* x y)))))) (- (log (cbrt (sqrt (exp (* x y))))))) (log (/ (+ 1 (exp x)) (cbrt (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 36 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 2 * * [misc]simplify: Extracting #4: cost 7 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 2 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 46 * * [misc]simplify: Extracting #8: cost 3 inf + 955 * * [misc]simplify: Extracting #9: cost 0 inf + 1802 * [exit]simplify: Simplified to (- (log (fabs (cbrt (exp (* x y)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (- (log (fabs (cbrt (exp (* x y)))))) (log (/ (+ 1 (exp x)) (sqrt (cbrt (exp (* y x))))))))) * * * * [misc]progress: [ 37 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (sqrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 6 inf + 2 * * [misc]simplify: Extracting #5: cost 9 inf + 2 * * [misc]simplify: Extracting #6: cost 9 inf + 3 * * [misc]simplify: Extracting #7: cost 0 inf + 1371 * * [misc]simplify: Extracting #8: cost 0 inf + 1370 * [exit]simplify: Simplified to (- (log (sqrt (sqrt (exp (* x y)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (- (log (sqrt (sqrt (exp (* x y)))))) (log (/ (+ 1 (exp x)) (sqrt (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 38 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ 0 (log (/ (+ 1 (exp x)) (sqrt (exp (* y x)))))))) * * * * [misc]progress: [ 39 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (sqrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 6 inf + 2 * * [misc]simplify: Extracting #5: cost 9 inf + 2 * * [misc]simplify: Extracting #6: cost 9 inf + 3 * * [misc]simplify: Extracting #7: cost 0 inf + 1371 * * [misc]simplify: Extracting #8: cost 0 inf + 1370 * [exit]simplify: Simplified to (- (log (sqrt (sqrt (exp (* x y)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (- (log (sqrt (sqrt (exp (* x y)))))) (log (/ (+ 1 (exp x)) (sqrt (sqrt (exp (* y x))))))))) * * * * [misc]progress: [ 40 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ 0 (log (/ (+ 1 (exp x)) (sqrt (exp (* y x)))))))) * * * * [misc]progress: [ 41 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ 0 (log (/ (+ 1 (exp x)) (sqrt (exp (* y x)))))))) * * * * [misc]progress: [ 42 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 1 inf + 234 * * [misc]simplify: Extracting #4: cost 0 inf + 346 * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (+ (log1p (exp x)) (log (/ 1 (sqrt (exp (* y x)))))))) * * * * [misc]progress: [ 43 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 1 inf + 234 * * [misc]simplify: Extracting #4: cost 0 inf + 346 * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (- (log1p (exp x)) (log (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 44 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 1 inf + 234 * * [misc]simplify: Extracting #4: cost 0 inf + 346 * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (- (log1p (exp x)) (log (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 47 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (exp x)) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 185 * * [misc]simplify: Extracting #5: cost 0 inf + 866 * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (sqrt (exp (* x y)))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* x y))))))) * * * * [misc]progress: [ 48 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp y) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 72 * [exit]simplify: Simplified to (exp y) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (pow (exp y) x)))))) * * * * [misc]progress: [ 70 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* y x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (* y x) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 71 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (* x y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* y x) 1/2) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (+ (- (* (* y x) 1/2)) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 78 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (* x y)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 601 * [exit]simplify: Simplified to (log (sqrt (exp (* x y)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 79 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (* x y)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 601 * [exit]simplify: Simplified to (log (sqrt (exp (* x y)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 80 / 88 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 61 * * [misc]simplify: Extracting #3: cost 4 inf + 367 * * [misc]simplify: Extracting #4: cost 2 inf + 622 * * [misc]simplify: Extracting #5: cost 0 inf + 918 * [exit]simplify: Simplified to (fma x (fma 1/8 x 1/2) (log 2)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (fma x (fma 1/8 x 1/2) (log 2)))) * * * * [misc]progress: [ 81 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (/ 1 (exp (* x y)))) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 74 * * [misc]simplify: Extracting #5: cost 7 inf + 1327 * * [misc]simplify: Extracting #6: cost 1 inf + 2894 * * [misc]simplify: Extracting #7: cost 0 inf + 2671 * * [misc]simplify: Extracting #8: cost 0 inf + 2571 * [exit]simplify: Simplified to (log (fma (exp x) (sqrt (exp (* (- y) x))) (sqrt (exp (* (- y) x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (fma (exp x) (sqrt (exp (* (- y) x))) (sqrt (exp (* (- y) x))))))) * * * * [misc]progress: [ 82 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (/ 1 (exp (* x y)))) (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 74 * * [misc]simplify: Extracting #5: cost 7 inf + 1327 * * [misc]simplify: Extracting #6: cost 1 inf + 2894 * * [misc]simplify: Extracting #7: cost 0 inf + 2671 * * [misc]simplify: Extracting #8: cost 0 inf + 2571 * [exit]simplify: Simplified to (log (fma (exp x) (sqrt (exp (* (- y) x))) (sqrt (exp (* (- y) x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (fma (exp x) (sqrt (exp (* (- y) x))) (sqrt (exp (* (- y) x))))))) * * * * [misc]progress: [ 83 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/2 (pow x 2)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 3 * * [misc]simplify: Extracting #3: cost 4 inf + 226 * * [misc]simplify: Extracting #4: cost 0 inf + 578 * [exit]simplify: Simplified to (fma (fma x 1/2 1) x 2) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (fma (fma x 1/2 1) x 2) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 84 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 185 * [exit]simplify: Simplified to (+ (exp x) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ (exp x) 1) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 85 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 185 * [exit]simplify: Simplified to (+ (exp x) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ (exp x) 1) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 86 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (pow x 2) (pow y 2))) (+ 1 (* x y))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 128 * * [misc]simplify: Extracting #3: cost 3 inf + 2103 * * [misc]simplify: Extracting #4: cost 0 inf + 2592 * [exit]simplify: Simplified to (+ 1 (fma 1/2 (* (* x y) (* x y)) (* x y))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (+ 1 (fma 1/2 (* (* x y) (* x y)) (* x y)))))))) * * * * [misc]progress: [ 87 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x y)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 3 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 227 * [exit]simplify: Simplified to (exp (* x y)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* x y))))))) * * * * [misc]progress: [ 88 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x y)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 3 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 227 * [exit]simplify: Simplified to (exp (* x y)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x y) (+ (- (log (sqrt (exp (* x y))))) (log (/ (+ 1 (exp x)) (sqrt (exp (* x y))))))) * * * [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: #