* [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 95 additional inputs, on iter 1 have 161 / 256 * * * * [misc]points: Computing exacts on every 5 of 95 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 95 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 95 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 13 additional inputs, on iter 3 have 243 / 256 * * * * [misc]points: Computing exacts for 13 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 254 / 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 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in y * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in y * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (exp x) into (exp x) * [misc]backup-simplify: Simplify (+ 1 (exp x)) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y)) * [misc]approximate: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [misc]taylor: Taking taylor expansion of (exp (/ -1 x)) in y * [misc]taylor: Taking taylor expansion of (/ -1 x) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1 x) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log1p (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1)) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 2 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 3 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (exp x)) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log1p (exp x)) (* x y)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* x y)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))) * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x)))) * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (exp x)) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* x y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (+ 1 (exp x)) (exp (* x y))))) * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p (exp x))) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (exp (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma (fma 1/8 x 1/2) x (log 2))) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) in y * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in y * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (/ 1 (/ 1 x)))) (+ (* 1/8 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * [misc]approximate: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ -1/2 (- (/ 1 y))) into (- (+ 1/2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (+ 1/2 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (+ 1/2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1/8 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* 1/2 (/ 1 (/ 1 x))) (* 1/8 (pow (/ 1 (/ 1 x)) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* -1/2 (/ 1 (/ 1 (- x)))) (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (cbrt (fma (fma 1/8 x 1/2) x (log 2)))) (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* x y))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (fma (fma x 1/8 1/2) x (log 2)) (* x y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (fma (fma x 1/8 1/2) x (log 2)) (* x y)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (fma (fma x 1/8 1/2) x (log 2)) (* x y)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (fma (fma 1/8 x 1/2) x (log 2))) (sqrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* x y))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma x (- (fma x 1/8 1/2) y) (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma x (- (fma x 1/8 1/2) y) (log 2)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma x (- (fma x 1/8 1/2) y) (log 2)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (fma (fma 1/8 x 1/2) x (log 2)) (- (* x y))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) (- (* x y) (* x y)))) * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (cbrt (fma (fma 1/8 x 1/2) x (log 2)))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (fma x 1/8 1/2) x (log 2))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (* (cbrt (fma (fma x 1/8 1/2) x (log 2))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* y x)))) * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (fma 1/8 x 1/2) x (log 2))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma x 1/8 1/2) x (log 2))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (fma (fma x 1/8 1/2) x (log 2))) (sqrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* y x)))) * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (fma (fma 1/8 x 1/2) x (log 2))) (exp (* y x))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (exp (fma x (- (fma x 1/8 1/2) y) (log 2))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (exp (fma x (- (fma x 1/8 1/2) y) (log 2))))) * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1/8 x 1/2) x) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (fma x 1/8 1/2) x) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (* (fma x 1/8 1/2) x) (- (log 2) (* y x)))) * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma (fma 1/8 x 1/2) x (log 2))) * * * * [misc]progress: [ 33 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* x (fma x 1/8 (- 1/2 y))) * [misc]simplify: Simplified (2) to (λ (x y) (* x (fma x 1/8 (- 1/2 y)))) * * * * [misc]progress: [ 34 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* x (fma x 1/8 (- 1/2 y))) * [misc]simplify: Simplified (2) to (λ (x y) (* x (fma x 1/8 (- 1/2 y)))) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* 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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] 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 / 3 ] 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 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: [ 3 / 3 ] 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: simplifying candidates * * * * [misc]progress: [ 1 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 78 ] 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) * [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 / 78 ] 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) * [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 / 78 ] 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) * [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 / 78 ] 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) * [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 / 78 ] 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 (46 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [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 / 78 ] 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) * [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 / 78 ] 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) * [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 / 78 ] 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 (23 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [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 / 78 ] 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 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [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 / 78 ] 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: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [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 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log 1) (log (/ (+ 1 (exp x)) (exp (* y x)))))) * * * * [misc]progress: [ 14 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log 1) (log (/ (+ 1 (exp x)) (exp (* y x)))))) * * * * [misc]progress: [ 15 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [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 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [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 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 20 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (exp x)) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* x y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (+ 1 (exp x)) (exp (* x y))))) * * * * [misc]progress: [ 21 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (exp (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 31 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 78 ] 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 (354 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp x) 1) (exp (* y x))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (cbrt (pow (/ (+ (exp x) 1) (exp (* y x))) 3)))) * * * * [misc]progress: [ 34 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 78 ] 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) * [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) * [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: [ 39 / 78 ] 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) * [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) * [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: [ 40 / 78 ] 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 (23 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [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) * [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: [ 41 / 78 ] 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) * [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) * [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: [ 42 / 78 ] 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) * [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) * [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: [ 43 / 78 ] 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) * [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) * [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: [ 44 / 78 ] 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) * [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) * [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: [ 45 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [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) * [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: [ 46 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 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) * [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: [ 47 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (* y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [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: [ 51 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [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: [ 52 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* y x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [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: [ 53 / 78 ] 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) * [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: [ 54 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [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: [ 55 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 78 ] 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) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (fma (exp (+ x x)) (exp x) 1) (* (exp (* y x)) (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) * * * * [misc]progress: [ 57 / 78 ] 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) * [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: [ 58 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 78 ] 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 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma (fma 1/8 x 1/2) x (log 2))) * * * * [misc]progress: [ 71 / 78 ] 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) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 72 / 78 ] 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) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 73 / 78 ] 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) * [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: [ 74 / 78 ] 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) * [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: [ 75 / 78 ] 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) * [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: [ 76 / 78 ] 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) * [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: [ 77 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [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: [ 78 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [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: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (fma (fma x 1/2 1) x 2) (exp (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (fma x 1/2 1) x 2) (exp (* y x))) in y * [misc]taylor: Taking taylor expansion of (fma (fma x 1/2 1) x 2) in y * [misc]taylor: Rewrote expression to (+ (* (fma x 1/2 1) x) 2) * [misc]taylor: Taking taylor expansion of (* (fma x 1/2 1) x) in y * [misc]taylor: Taking taylor expansion of (fma x 1/2 1) in y * [misc]taylor: Rewrote expression to (+ (* x 1/2) 1) * [misc]taylor: Taking taylor expansion of (* x 1/2) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (* x 1/2) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (* 1/2 x) 1) into (+ (* 1/2 x) 1) * [misc]backup-simplify: Simplify (* (+ (* 1/2 x) 1) x) into (* (+ (* 1/2 x) 1) x) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 x) 1) x) 2) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]backup-simplify: Simplify (/ (+ x (+ (* 1/2 (pow x 2)) 2)) 1) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]taylor: Taking taylor expansion of (/ (fma (fma x 1/2 1) x 2) (exp (* y x))) in x * [misc]taylor: Taking taylor expansion of (fma (fma x 1/2 1) x 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma x 1/2 1) x) 2) * [misc]taylor: Taking taylor expansion of (* (fma x 1/2 1) x) in x * [misc]taylor: Taking taylor expansion of (fma x 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* x 1/2) 1) * [misc]taylor: Taking taylor expansion of (* x 1/2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]taylor: Taking taylor expansion of (/ (fma (fma x 1/2 1) x 2) (exp (* y x))) in x * [misc]taylor: Taking taylor expansion of (fma (fma x 1/2 1) x 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma x 1/2 1) x) 2) * [misc]taylor: Taking taylor expansion of (* (fma x 1/2 1) x) in x * [misc]taylor: Taking taylor expansion of (fma x 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* x 1/2) 1) * [misc]taylor: Taking taylor expansion of (* x 1/2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) 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 (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1/2 0)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1/2 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) 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 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 (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) in y * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 x) 1/2 1) (/ 1 x)) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 x) 1/2 1) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/2 1) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/2) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 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 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 x) 1/2) into (/ 1/2 x) * [misc]backup-simplify: Simplify (+ (/ 1/2 x) 1) into (+ (* 1/2 (/ 1 x)) 1) * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 x)) 1) (/ 1 x)) into (/ (+ (* 1/2 (/ 1 x)) 1) x) * [misc]backup-simplify: Simplify (+ (/ (+ (* 1/2 (/ 1 x)) 1) x) 2) into (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2)) (exp (/ 1 (* x y)))) into (/ (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2)) (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 x) 1/2 1) (/ 1 x)) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 x) 1/2 1) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 x) 1/2 1) (/ 1 x)) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 x) 1/2 1) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (exp (/ 1 (* x 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 (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 (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into (/ 1 (exp (/ 1 (* x 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 (/ 1 (exp (/ 1 (* x y)))) into (/ 1 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 2 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* (/ 1 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into (* 2 (/ 1 (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (exp (/ 1 (* x 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 (/ 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 (* 2 (/ 1 (exp (/ 1 (* x y))))) into (/ 2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 2 (exp (/ 1 (* x y)))) into (/ 2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (+ (/ 2 (exp (/ 1 (* (/ 1 x) (/ 1 y))))) (+ (* (/ 1 (exp (/ 1 (* (/ 1 x) (/ 1 y))))) (* 1 (/ 1 (/ 1 x)))) (* (/ 1/2 (exp (/ 1 (* (/ 1 x) (/ 1 y))))) (pow (* 1 (/ 1 (/ 1 x))) 2)))) into (+ (* 2 (/ 1 (exp (* x y)))) (+ (/ x (exp (* x y))) (* 1/2 (/ (pow x 2) (exp (* x y)))))) * [misc]approximate: Taking taylor expansion of (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) in y * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/2 1) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/2) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 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 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 x) 1/2) into (/ -1/2 x) * [misc]backup-simplify: Simplify (+ (/ -1/2 x) 1) into (- 1 (* 1/2 (/ 1 x))) * [misc]backup-simplify: Simplify (* (- 1 (* 1/2 (/ 1 x))) (/ -1 x)) into (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)) 2) into (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x)) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x)) (exp (/ 1 (* x y)))) into (/ (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x)) (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (exp (/ 1 (* x 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 (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 (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ -1 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into (- (/ 1 (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (- (/ 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 (- (/ 1 (exp (/ 1 (* x y))))) into (- (/ 1 (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (- (/ 1 (exp (/ 1 (* x y))))) into (- (/ 1 (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 2 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* (- (/ 1 (exp (/ 1 (* x y))))) (/ 0 (exp (/ 1 (* x y))))))) into (* 2 (/ 1 (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (exp (/ 1 (* x 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 (/ 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 (* 2 (/ 1 (exp (/ 1 (* x y))))) into (/ 2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ 2 (exp (/ 1 (* x y)))) into (/ 2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (+ (/ 2 (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y)))))) (+ (* (- (/ 1 (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y))))))) (* 1 (/ 1 (/ 1 (- x))))) (* (/ 1/2 (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y)))))) (pow (* 1 (/ 1 (/ 1 (- x)))) 2)))) into (+ (* 2 (/ 1 (exp (* x y)))) (+ (/ x (exp (* x y))) (* 1/2 (/ (pow x 2) (exp (* x y)))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (fma (fma x 1/2 1) x 2) (exp (* y x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (fma (fma x 1/2 1) x 2) (exp (* y x)))) in y * [misc]taylor: Taking taylor expansion of (/ (fma (fma x 1/2 1) x 2) (exp (* y x))) in y * [misc]taylor: Taking taylor expansion of (fma (fma x 1/2 1) x 2) in y * [misc]taylor: Rewrote expression to (+ (* (fma x 1/2 1) x) 2) * [misc]taylor: Taking taylor expansion of (* (fma x 1/2 1) x) in y * [misc]taylor: Taking taylor expansion of (fma x 1/2 1) in y * [misc]taylor: Rewrote expression to (+ (* x 1/2) 1) * [misc]taylor: Taking taylor expansion of (* x 1/2) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 (* x 1/2) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (* 1/2 x) 1) into (+ (* 1/2 x) 1) * [misc]backup-simplify: Simplify (* (+ (* 1/2 x) 1) x) into (* (+ (* 1/2 x) 1) x) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 x) 1) x) 2) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]backup-simplify: Simplify (/ (+ x (+ (* 1/2 (pow x 2)) 2)) 1) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]backup-simplify: Simplify (log (+ x (+ (* 1/2 (pow x 2)) 2))) into (log (+ x (+ (* 1/2 (pow x 2)) 2))) * [misc]taylor: Taking taylor expansion of (log (/ (fma (fma x 1/2 1) x 2) (exp (* y x)))) in x * [misc]taylor: Taking taylor expansion of (/ (fma (fma x 1/2 1) x 2) (exp (* y x))) in x * [misc]taylor: Taking taylor expansion of (fma (fma x 1/2 1) x 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma x 1/2 1) x) 2) * [misc]taylor: Taking taylor expansion of (* (fma x 1/2 1) x) in x * [misc]taylor: Taking taylor expansion of (fma x 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* x 1/2) 1) * [misc]taylor: Taking taylor expansion of (* x 1/2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) 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 (/ (fma (fma x 1/2 1) x 2) (exp (* y x)))) in x * [misc]taylor: Taking taylor expansion of (/ (fma (fma x 1/2 1) x 2) (exp (* y x))) in x * [misc]taylor: Taking taylor expansion of (fma (fma x 1/2 1) x 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma x 1/2 1) x) 2) * [misc]taylor: Taking taylor expansion of (* (fma x 1/2 1) x) in x * [misc]taylor: Taking taylor expansion of (fma x 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* x 1/2) 1) * [misc]taylor: Taking taylor expansion of (* x 1/2) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 2) 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 (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1/2 0)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) 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 (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1/2 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) 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 (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) in y * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 x) 1/2 1) (/ 1 x)) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 x) 1/2 1) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/2 1) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/2) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 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 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 x) 1/2) into (/ 1/2 x) * [misc]backup-simplify: Simplify (+ (/ 1/2 x) 1) into (+ (* 1/2 (/ 1 x)) 1) * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 x)) 1) (/ 1 x)) into (/ (+ (* 1/2 (/ 1 x)) 1) x) * [misc]backup-simplify: Simplify (+ (/ (+ (* 1/2 (/ 1 x)) 1) x) 2) into (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2)) (exp (/ 1 (* x y)))) into (/ (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2)) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2)) (exp (/ 1 (* x y))))) into (log (/ (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2)) (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 x) 1/2 1) (/ 1 x)) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 x) 1/2 1) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ 1/2 (exp (/ 1 (* x y))))) into (log (/ 1/2 (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) (exp (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 x) 1/2 1) (/ 1 x) 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 x) 1/2 1) (/ 1 x)) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 x) 1/2 1) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ 1/2 (exp (/ 1 (* x y))))) into (log (/ 1/2 (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log (/ 1/2 (exp (/ 1 (* x y)))))) into (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) * [misc]taylor: Taking taylor expansion of (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (exp (/ 1 (* x y))))) in y * [misc]taylor: Taking taylor expansion of (/ 1/2 (exp (/ 1 (* x 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 (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 (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ 1/2 (exp (/ 1 (* x y))))) into (log (/ 1/2 (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (exp (/ 1 (* x y))))) (- (* 2 (log x)))) into (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) into (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into (/ 1 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (exp (/ 1 (* x y))))) 1)) (pow (/ 1/2 (exp (/ 1 (* x y)))) 1)))) 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 (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 2 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* (/ 1 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into (* 2 (/ 1 (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (exp (/ 1 (* x y))))) 2)) (pow (/ 1/2 (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (exp (/ 1 (* x y)))))) 1)) (pow (/ 1/2 (exp (/ 1 (* x y)))) 1)))) 2) 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 (+ (* 2 (pow (* 1 (/ 1 x)) 2)) (+ (* 2 (* 1 (/ 1 x))) (- (log (/ 1/2 (exp (/ 1 (* (/ 1 x) (/ 1 y)))))) (* 2 (log (/ 1 x)))))) into (- (+ (* 2 (/ 1 (pow x 2))) (+ (log (/ 1/2 (exp (* x y)))) (* 2 (/ 1 x)))) (* 2 (log (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (log (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) in y * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/2 1) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/2) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 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 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [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 x) 1/2) into (/ -1/2 x) * [misc]backup-simplify: Simplify (+ (/ -1/2 x) 1) into (- 1 (* 1/2 (/ 1 x))) * [misc]backup-simplify: Simplify (* (- 1 (* 1/2 (/ 1 x))) (/ -1 x)) into (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)) 2) into (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x)) * [misc]backup-simplify: Simplify (/ (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x)) (exp (/ 1 (* x y)))) into (/ (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x)) (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x)) (exp (/ 1 (* x y))))) into (log (/ (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x)) (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ 1/2 (exp (/ 1 (* x y))))) into (log (/ 1/2 (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (log (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) (exp (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (fma (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x)) 2) in x * [misc]taylor: Rewrote expression to (+ (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) 2) * [misc]taylor: Taking taylor expansion of (* (fma (/ 1 (- x)) 1/2 1) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/2 1) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/2) 1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ 1/2 (exp (/ 1 (* x y))))) into (log (/ 1/2 (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log (/ 1/2 (exp (/ 1 (* x y)))))) into (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) * [misc]taylor: Taking taylor expansion of (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (exp (/ 1 (* x y))))) in y * [misc]taylor: Taking taylor expansion of (/ 1/2 (exp (/ 1 (* x 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 (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 (/ 1/2 (exp (/ 1 (* x y)))) into (/ 1/2 (exp (/ 1 (* x y)))) * [misc]backup-simplify: Simplify (log (/ 1/2 (exp (/ 1 (* x y))))) into (log (/ 1/2 (exp (/ 1 (* x y))))) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (exp (/ 1 (* x y))))) (- (* 2 (log x)))) into (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) into (- (log (/ 1/2 (exp (/ 1 (* x y))))) (* 2 (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ -1 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into (- (/ 1 (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 (exp (/ 1 (* x y)))))) 1)) (pow (/ 1/2 (exp (/ 1 (* x y)))) 1)))) 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 (- (/ 0 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (exp (/ 1 (* x y)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log x))) 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 2 (exp (/ 1 (* x y)))) (+ (* (/ 1/2 (exp (/ 1 (* x y)))) (/ 0 (exp (/ 1 (* x y))))) (* (- (/ 1 (exp (/ 1 (* x y))))) (/ 0 (exp (/ 1 (* x y))))))) into (* 2 (/ 1 (exp (/ 1 (* x y))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 (exp (/ 1 (* x y)))))) 2)) (pow (/ 1/2 (exp (/ 1 (* x y)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (exp (/ 1 (* x y)))))) 1)) (pow (/ 1/2 (exp (/ 1 (* x y)))) 1)))) 2) 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 (+ (* 2 (pow (* 1 (/ 1 (- x))) 2)) (+ (* -2 (* 1 (/ 1 (- x)))) (- (log (/ 1/2 (exp (/ 1 (* (/ 1 (- x)) (/ 1 (- y))))))) (* 2 (log (/ 1 (- x))))))) into (- (+ (* 2 (/ 1 (pow x 2))) (+ (log (/ 1/2 (exp (* x y)))) (* 2 (/ 1 x)))) (* 2 (log (/ -1 x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (fma x 1/2 1) x 2)) (* y x)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (log (fma (fma 1/2 x 1) x 2)) (* y x)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (exp (- (log (fma (fma 1/2 x 1) x 2)) (* y x))))) * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (fma (fma x 1/2 1) x 2) (fma (fma x 1/2 1) x 2)) (fma (fma x 1/2 1) x 2)) (* (* (exp (* y x)) (exp (* y x))) (exp (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (pow (/ (fma (fma 1/2 x 1) x 2) (exp (* x y))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (cbrt (pow (/ (fma (fma 1/2 x 1) x 2) (exp (* x y))) 3)))) * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (fma (fma x 1/2 1) x 2))) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* x y)))) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* x y))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (* (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* x y)))) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* x y))))) (/ (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ (* (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (fma (fma x 1/2 1) x 2))) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (fma (fma x 1/2 1) x 2))) (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 (41 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (fma 1/2 x 1) x 2)) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* x y))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (* (cbrt (fma (fma 1/2 x 1) x 2)) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* x y))))) (/ (cbrt (fma (fma x 1/2 1) x 2)) (sqrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (fma (fma x 1/2 1) x 2)) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ (* (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (fma (fma x 1/2 1) x 2))) (sqrt (exp (* y x)))) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (fma (fma x 1/2 1) x 2))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (fma (fma 1/2 x 1) x 2))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (* (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (fma (fma 1/2 x 1) x 2))) (/ (cbrt (fma (fma x 1/2 1) x 2)) (exp (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (fma (fma x 1/2 1) x 2)) (exp (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (fma 1/2 x 1) x 2)) (exp (* y x))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (* (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (fma (fma 1/2 x 1) x 2))) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (exp (* y x)))))) * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (fma x 1/2 1) x 2)) (* (cbrt (exp (* y x))) (cbrt (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 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (fma 1/2 x 1) x 2)) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (/ (sqrt (fma (fma 1/2 x 1) x 2)) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) (/ (sqrt (fma (fma x 1/2 1) x 2)) (cbrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (fma (fma x 1/2 1) x 2)) (cbrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ (sqrt (fma (fma x 1/2 1) x 2)) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) (/ (sqrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (fma x 1/2 1) x 2)) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (/ (sqrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* y x)))) (/ (sqrt (fma (fma x 1/2 1) x 2)) (sqrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (fma (fma x 1/2 1) x 2)) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* y x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ (sqrt (fma (fma x 1/2 1) x 2)) (sqrt (exp (* y x)))) (/ (sqrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (fma x 1/2 1) x 2)) 1) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma 1/2 x 1) x 2)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* (sqrt (fma (fma 1/2 x 1) x 2)) (/ (sqrt (fma (fma x 1/2 1) x 2)) (exp (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (fma (fma x 1/2 1) x 2)) (exp (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (fma 1/2 x 1) x 2)) (exp (* y x))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (sqrt (fma (fma 1/2 x 1) x 2)) (/ (sqrt (fma (fma 1/2 x 1) x 2)) (exp (* y x)))))) * * * * [misc]progress: [ 18 / 61 ] 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) * [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))))) (/ (fma (fma x 1/2 1) x 2) (cbrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (fma (fma x 1/2 1) x 2) (cbrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (fma (fma 1/2 x 1) x 2) (cbrt (exp (* x y)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ 1 (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) (/ (fma (fma 1/2 x 1) x 2) (cbrt (exp (* x y))))))) * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [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)))) (/ (fma (fma x 1/2 1) x 2) (sqrt (exp (* y x))))))) * [enter]simplify: Simplifying (/ (fma (fma x 1/2 1) x 2) (sqrt (exp (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (fma (fma 1/2 x 1) x 2) (sqrt (exp (* x y)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* (/ 1 (sqrt (exp (* y x)))) (/ (fma (fma 1/2 x 1) x 2) (sqrt (exp (* x y))))))) * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (* 1 (/ (fma (fma x 1/2 1) x 2) (exp (* y x)))))) * [enter]simplify: Simplifying (/ (fma (fma x 1/2 1) x 2) (exp (* y x))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (fma (fma 1/2 x 1) x 2) (exp (* x y))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (* 1 (/ (fma (fma 1/2 x 1) x 2) (exp (* x y)))))) * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (* y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (exp (* y x))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (/ (/ (fma (fma x 1/2 1) x 2) (* (cbrt (exp (* y x))) (cbrt (exp (* y x))))) (cbrt (exp (* y x)))))) * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* y x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* y x))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (/ (/ (fma (fma x 1/2 1) x 2) (sqrt (exp (* y x)))) (sqrt (exp (* y x)))))) * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* y x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* y x)) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (log (/ (/ (fma (fma x 1/2 1) x 2) 1) (exp (* y x))))) * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (fma (fma x 1/2 1) x 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (fma (fma 1/2 x 1) x 2))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (* (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (fma (fma 1/2 x 1) x 2))) (/ (exp (* y x)) (cbrt (fma (fma x 1/2 1) x 2)))))) * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (fma x 1/2 1) x 2)) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma 1/2 x 1) x 2)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (log (/ (sqrt (fma (fma 1/2 x 1) x 2)) (/ (exp (* y x)) (sqrt (fma (fma x 1/2 1) x 2)))))) * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (fma (fma x 1/2 1) x 2) (exp (* y x)))) (cbrt (/ (fma (fma x 1/2 1) x 2) (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 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (fma (fma 1/2 x 1) x 2) (exp (* x y))))) (log (cbrt (/ (fma (fma 1/2 x 1) x 2) (exp (* x y)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (+ (log (cbrt (/ (fma (fma 1/2 x 1) x 2) (exp (* x y))))) (log (cbrt (/ (fma (fma 1/2 x 1) x 2) (exp (* x y)))))) (log (cbrt (/ (fma (fma x 1/2 1) x 2) (exp (* y x))))))) * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (fma (fma x 1/2 1) x 2) (exp (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (fma (fma 1/2 x 1) x 2) (exp (* x y))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (sqrt (/ (fma (fma 1/2 x 1) x 2) (exp (* x y))))) (log (sqrt (/ (fma (fma x 1/2 1) x 2) (exp (* y x))))))) * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (fma (fma x 1/2 1) x 2))) (* (cbrt (exp (* y x))) (cbrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* x y)))) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* x y)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (* (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* x y)))) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (cbrt (exp (* x y)))))) (log (/ (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (fma (fma x 1/2 1) x 2))) (sqrt (exp (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (* (cbrt (fma (fma 1/2 x 1) x 2)) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* x y)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (* (cbrt (fma (fma 1/2 x 1) x 2)) (/ (cbrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* x y)))))) (log (/ (cbrt (fma (fma x 1/2 1) x 2)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (fma (fma x 1/2 1) x 2)) (cbrt (fma (fma x 1/2 1) x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (fma (fma 1/2 x 1) x 2))) (log (cbrt (fma (fma 1/2 x 1) x 2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (+ (log (cbrt (fma (fma 1/2 x 1) x 2))) (log (cbrt (fma (fma 1/2 x 1) x 2)))) (log (/ (cbrt (fma (fma x 1/2 1) x 2)) (exp (* y x)))))) * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (fma (fma x 1/2 1) x 2)) (* (cbrt (exp (* y x))) (cbrt (exp (* y x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (fma (fma 1/2 x 1) x 2)) (* (cbrt (exp (* y x))) (cbrt (exp (* y x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (/ (sqrt (fma (fma 1/2 x 1) x 2)) (* (cbrt (exp (* y x))) (cbrt (exp (* y x)))))) (log (/ (sqrt (fma (fma x 1/2 1) x 2)) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (fma (fma x 1/2 1) x 2)) (sqrt (exp (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (/ (sqrt (fma (fma 1/2 x 1) x 2)) (sqrt (exp (* y x))))) (log (/ (sqrt (fma (fma x 1/2 1) x 2)) (sqrt (exp (* y x))))))) * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (fma (fma x 1/2 1) x 2)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (fma 1/2 x 1) x 2))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (sqrt (fma (fma 1/2 x 1) x 2))) (log (/ (sqrt (fma (fma x 1/2 1) x 2)) (exp (* y x)))))) * * * * [misc]progress: [ 40 / 61 ] 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 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [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 (/ (fma (fma x 1/2 1) x 2) (cbrt (exp (* y x))))))) * * * * [misc]progress: [ 41 / 61 ] 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: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (log (sqrt (exp (* x y))))) * [misc]simplify: Simplified (2 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: [ 42 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log 1) (log (/ (fma (fma x 1/2 1) x 2) (exp (* y x)))))) * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log 1) (log (/ (fma (fma x 1/2 1) x 2) (exp (* y x)))))) * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (fma x 1/2 1) x 2)) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (log (fma (fma 1/2 x 1) x 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (fma (fma 1/2 x 1) x 2)) (log (/ 1 (exp (* y x)))))) * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (fma x 1/2 1) x 2)) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (log (fma (fma 1/2 x 1) x 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (fma (fma 1/2 x 1) x 2)) (log (exp (* y x))))) * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (fma x 1/2 1) x 2)) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (log (fma (fma 1/2 x 1) x 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (fma (fma 1/2 x 1) x 2)) (* y x))) * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (fma x 1/2 1) x 2) (exp (* y x))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (fma (fma 1/2 x 1) x 2) (exp (* x y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (fma (fma 1/2 x 1) x 2) (exp (* x y))))) * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 61 ] 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) * [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: [ 57 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (/ 1 (exp (* x y)))) (+ (/ x (exp (* x y))) (* 1/2 (/ (pow x 2) (exp (* x y)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (+ (* (+ (* x 1/2) 1) (/ x (exp (* x y)))) (/ 2 (exp (* x y)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (+ (* (+ (* x 1/2) 1) (/ x (exp (* x y)))) (/ 2 (exp (* x y)))))) * * * * [misc]progress: [ 58 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (/ 1 (exp (* x y)))) (+ (/ x (exp (* x y))) (* 1/2 (/ (pow x 2) (exp (* x y)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (+ (* (+ (* x 1/2) 1) (/ x (exp (* x y)))) (/ 2 (exp (* x y)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (+ (* (+ (* x 1/2) 1) (/ x (exp (* x y)))) (/ 2 (exp (* x y)))))) * * * * [misc]progress: [ 59 / 61 ] 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 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma (fma 1/8 x 1/2) x (log 2))) * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 2))) (+ (log (/ 1/2 (exp (* x y)))) (* 2 (/ 1 x)))) (* 2 (log (/ 1 x)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (fma (/ 1 x) (/ 2 x) (+ (- (log 1/2) (* y x)) (fma (log x) 2 (/ 2 x)))) * [misc]simplify: Simplified (2) to (λ (x y) (fma (/ 1 x) (/ 2 x) (+ (- (log 1/2) (* y x)) (fma (log x) 2 (/ 2 x))))) * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 2))) (+ (log (/ 1/2 (exp (* x y)))) (* 2 (/ 1 x)))) (* 2 (log (/ -1 x)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (- (+ (fma (/ 2 x) (/ 1 x) (/ 2 x)) (- (log 1/2) (* y x))) (* 2 (log (/ -1 x)))) * [misc]simplify: Simplified (2) to (λ (x y) (- (+ (fma (/ 2 x) (/ 1 x) (/ 2 x)) (- (log 1/2) (* y x))) (* 2 (log (/ -1 x))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (log (+ 1 (exp x))) (* x y)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (- (log1p (exp x)) (* y x)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2428 additional inputs, on iter 1 have 5572 / 8000 * * * * [misc]points: Computing exacts on every 151 of 2428 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 75 of 2428 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 37 of 2428 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 18 of 2428 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 9 of 2428 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 2428 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 2428 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 2428 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 723 additional inputs, on iter 2 have 7277 / 8000 * * * * [misc]points: Computing exacts on every 45 of 723 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 22 of 723 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 11 of 723 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 723 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 723 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 723 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 229 additional inputs, on iter 3 have 7771 / 8000 * * * * [misc]points: Computing exacts on every 14 of 229 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 229 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 229 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 229 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 73 additional inputs, on iter 4 have 7927 / 8000 * * * * [misc]points: Computing exacts on every 4 of 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 73 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 19 additional inputs, on iter 5 have 7981 / 8000 * * * * [misc]points: Computing exacts for 19 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 6 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs