* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 68 additional inputs, on iter 1 have 188 / 256 * * * * [misc]points: Computing exacts on every 4 of 68 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 68 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 68 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 21 additional inputs, on iter 2 have 235 / 256 * * * * [misc]points: Computing exacts for 21 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 3 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (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 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (+ 1 (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (log (+ 1 (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log (+ 1 (exp x))) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ 1 (exp x))) (* y x)) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (- (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (- (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (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 (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]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 (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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: [ 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 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (* (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))))) (log (cbrt (+ 1 (exp x))))) (* y x))) * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* y x))) * * * * [misc]progress: [ 3 / 50 ] 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 1) to (λ (x y) (- (+ (log 1) (log (+ 1 (exp x)))) (* y x))) * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow (exp x) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp x) 3) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (- (log (+ (pow (exp x) 3) 1)) (log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) (* y x))) * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* (exp x) (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (- 1 (exp (+ x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (- (log (- 1 (exp (+ x x)))) (log (- 1 (exp x)))) (* y x))) * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log (+ 1 (exp x))) (* y x))) * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 50 ] 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: [ 16 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 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)))) (* y x)))) * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 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)))) (* y x)))) * * * * [misc]progress: [ 28 / 50 ] 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))) (* y x)))) * * * * [misc]progress: [ 29 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow (exp x) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp x) 3) 1)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (+ (pow (exp x) 3) 1)) (+ (log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x))))) (* y x)))) * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* (exp x) (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (- 1 (exp (+ x x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (- 1 (exp (+ x x)))) (+ (log (- 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 50 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) (* y x))) * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (+ (exp x) 1)) (* y x))) * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (+ (exp x) 1)) (* y x))) * * * * [misc]progress: [ 45 / 50 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8)))) * * * * [misc]progress: [ 46 / 50 ] 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 (21 enodes) * [exit]simplify: Simplified to (- (log (+ (exp x) 1)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log (+ (exp x) 1)) (* y x))) * * * * [misc]progress: [ 47 / 50 ] 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 (21 enodes) * [exit]simplify: Simplified to (- (log (+ (exp x) 1)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log (+ (exp x) 1)) (* y x))) * * * * [misc]progress: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/2 (pow x 2)) 2)) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (+ x 2) (* (* x x) 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log (+ (+ x 2) (* (* x x) 1/2))) (* y x))) * * * * [misc]progress: [ 49 / 50 ] 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)) (* y x))) * * * * [misc]progress: [ 50 / 50 ] 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)) (* y x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) in y * [misc]taylor: Taking taylor expansion of (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) in y * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 (exp x)) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (* (* y x) (* y x)) in y * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp x))) (* y x)) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 (exp x)) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2) * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2) * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp x) 1)) 0) into (log (+ (exp x) 1)) * [misc]backup-simplify: Simplify (/ (pow (log (+ (exp x) 1)) 2) (log (+ (exp x) 1))) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) in x * [misc]taylor: Taking taylor expansion of (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) in x * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (* y x) (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (pow (log 2) 2) (log 2)) into (log 2) * [misc]taylor: Taking taylor expansion of (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) in x * [misc]taylor: Taking taylor expansion of (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) in x * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (* y x) (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (pow (log 2) 2) (log 2)) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2) * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (+ (* 0 y) (* y 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (+ 1/2 y) into (+ y 1/2) * [misc]backup-simplify: Simplify (- (/ (log 2) (log 2)) (+ (* (log 2) (/ (+ y 1/2) (log 2))))) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* y y) (* 0 0))) into (pow y 2) * [misc]backup-simplify: Simplify (- (pow y 2)) into (- (pow y 2)) * [misc]backup-simplify: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (- (pow y 2))) into (- (+ (* 1/4 (log 2)) 1/4) (pow y 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/4 (log 2)) 1/4) (pow y 2)) (log 2)) (+ (* (log 2) (/ 1/8 (log 2))) (* (- 1/2 y) (/ (+ y 1/2) (log 2))))) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (/ (- (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (- (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (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 (log (+ 1 (exp (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow x 2))) (/ 1 x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (- (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow y 2))) (/ 1 y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ (- (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow y 2))) (/ 1 y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ -1 y) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ (log (+ (exp (/ 1 x)) 1)) (/ 1 y))))) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (pow (log (+ (exp (/ 1 x)) 1)) 2) (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ 1 x)) 1)) (/ (log (+ (exp (/ 1 x)) 1)) (/ 1 y))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ 1 x)) 1)) (/ 0 (/ 1 y))) (* 0 (/ (log (+ (exp (/ 1 x)) 1)) (/ 1 y))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ 1 x)) 1)) (/ 0 (/ 1 y))) (* 0 (/ 0 (/ 1 y))) (* 0 (/ (log (+ (exp (/ 1 x)) 1)) (/ 1 y))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y)) * [misc]approximate: Taking taylor expansion of (/ (- (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (- (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]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 (log (+ 1 (exp (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow x 2))) (/ 1 x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (- (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow y 2))) (/ 1 y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ (- (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow y 2))) (/ 1 y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ -1 y) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ (log (+ (exp (/ -1 x)) 1)) (/ 1 y))))) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [misc]taylor: Taking taylor expansion of (exp (/ -1 x)) in y * [misc]taylor: Taking taylor expansion of (/ -1 x) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1 x) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (pow (log (+ (exp (/ -1 x)) 1)) 2) (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ -1 x)) 1)) (/ (log (+ (exp (/ -1 x)) 1)) (/ 1 y))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ -1 x)) 1)) (/ 0 (/ 1 y))) (* 0 (/ (log (+ (exp (/ -1 x)) 1)) (/ 1 y))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 y)) (+ (* (/ -1 y) (/ 0 (/ 1 y))) (* (log (+ (exp (/ -1 x)) 1)) (/ 0 (/ 1 y))) (* 0 (/ 0 (/ 1 y))) (* 0 (/ (log (+ (exp (/ -1 x)) 1)) (/ 1 y))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (pow (log 2) 2) into (pow (log 2) 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/4 (log 2)) 1/4) (pow x 2)) (+ (* (log 2) x) (pow (log 2) 2))) into (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) * [misc]approximate: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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 (* (log (+ 1 (exp (/ 1 x)))) (log (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 2) into (pow (log (+ (exp (/ 1 x)) 1)) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) into (pow (log (+ (exp x) 1)) 2) * [misc]approximate: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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 (* (log (+ 1 (exp (/ 1 (- x))))) (log (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 2) into (pow (log (+ (exp (/ -1 x)) 1)) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) into (pow (log (+ (exp x) 1)) 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (* y x) (* y x)) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (* (* y x) (* y x)) in x * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* y x) (* y x)) in y * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (* y x) (* y x)) in y * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 x) (* x 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x x) (* 0 0))) into (pow x 2) * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (+ (* 0 x) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))) 2)) into (* (pow x 2) (pow y 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in (y x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))) 2)) into (* (pow x 2) (pow y 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log (+ 1 (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (log (+ 1 (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (log (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (- (log (- (log (+ 1 (exp x))) (* y x))) 0) * [misc]simplify: Simplified (2 1) to (λ (x y) (exp (- (log (- (log (+ 1 (exp x))) (* y x))) 0))) * * * * [misc]progress: [ 3 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (* (* (+ (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (pow (* 1 (- (log (+ 1 (exp x))) (* y x))) 3) * [misc]simplify: Simplified (2 1) to (λ (x y) (cbrt (pow (* 1 (- (log (+ 1 (exp x))) (* y x))) 3))) * * * * [misc]progress: [ 6 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (/ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* y x) (log (+ 1 (exp x))))) (/ (* (* y x) (* y x)) (+ (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 11 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (/ (cbrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (* (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x))))) (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 12 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))))) (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (* (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 13 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (+ (log (+ 1 (exp x))) (* y x))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) (/ (cbrt (* (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 14 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (* (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x))))) (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 15 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 16 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (sqrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (+ (log (+ 1 (exp x))) (* y x))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (* (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 17 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ 1 (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (/ (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ 1 (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x))))) (/ (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 18 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ 1 (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (/ (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ 1 (sqrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 19 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x y) (* 1 (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))))) * [enter]simplify: Simplifying (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (exp x))) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* 1 (- (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 20 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* y x) (log (+ 1 (exp x)))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (+ (* y x) (log (+ 1 (exp x)))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (- (log (+ 1 (exp x))) (* y x)) (cbrt (+ (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (- (log (+ 1 (exp x))) (* y x)) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (- (log (+ 1 (exp x))) (* y x)) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (+ (log (+ 1 (exp x))) (* y x)) (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x))))) (/ (- (log (+ 1 (exp x))) (* y x)) (cbrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 21 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* y x) (log (+ 1 (exp x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (+ (* y x) (log (+ 1 (exp x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (- (log (+ 1 (exp x))) (* y x)) (sqrt (+ (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (- (log (+ 1 (exp x))) (* y x)) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (- (log (+ 1 (exp x))) (* y x)) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (- (log (+ 1 (exp x))) (* y x)) (sqrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 22 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (* y x) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (+ (* y x) (log (+ 1 (exp x)))) (/ (- (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))))) * [enter]simplify: Simplifying (/ (- (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (+ (* y x) (log (+ 1 (exp x)))) (/ (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 23 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 27 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 28 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (* y x) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) 1) (+ (* y x) (log (+ 1 (exp x)))))) * * * * [misc]progress: [ 29 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (* (cbrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))))) * * * * [misc]progress: [ 30 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (sqrt (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x)))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))))) * * * * [misc]progress: [ 31 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (* y x) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (+ (* y x) (log (+ 1 (exp x)))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 33 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (- (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (- (* y x) (log (+ 1 (exp x)))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (- (* y x) (log (+ 1 (exp x)))) (* y x))))) * * * * [misc]progress: [ 34 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (exp x))) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))) (- (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 35 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) 3) (pow (* (* y x) (* y x)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (+ (* (* y (* (* y x) (* y x))) (* (* (* y x) (- x)) (* (* y x) (* y x)))) (pow (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) 3)) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (+ (* (* y (* (* y x) (* y x))) (* (* (* y x) (- x)) (* (* y x) (* y x)))) (pow (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) 3)) (* (+ (log (+ 1 (exp x))) (* y x)) (+ (* (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (log (+ 1 (exp x))) (log (+ 1 (exp x))))) (+ (* (* (* y x) (* y x)) (* (* y x) (* y x))) (* (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))))))) * * * * [misc]progress: [ 36 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (log (+ 1 (exp x))) (log (+ 1 (exp x))))) (* (* (* y x) (* y x)) (* (* y x) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (- (pow (log (+ 1 (exp x))) (+ 1 3)) (pow (* x y) (+ 1 3))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (- (pow (log (+ 1 (exp x))) (+ 1 3)) (pow (* x y) (+ 1 3))) (* (+ (log (+ 1 (exp x))) (* y x)) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x)))))) * * * * [misc]progress: [ 37 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (exp x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (pow (log (+ 1 (exp x))) (+ 1 1)) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (pow (log (+ 1 (exp x))) (+ 1 1)) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 38 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (pow (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) 1) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 39 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (exp x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (pow (log (+ 1 (exp x))) (+ 1 1)) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 41 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (log (+ 1 (exp x)))) (log (log (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (log (+ 1 (exp x)))) (log (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (exp (+ (log (log (+ 1 (exp x)))) (log (log (+ 1 (exp x)))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 43 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (log (+ 1 (exp x)))) (* (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (log (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (pow (log (+ 1 (exp x))) (+ (+ 3 1) (+ 1 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (cbrt (pow (log (+ 1 (exp x))) (+ (+ 3 1) (+ 1 1)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 46 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (exp x))) (log (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ 1 (exp x)))) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (+ (* (log (+ 1 (exp x))) (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))))) (* (log (cbrt (+ 1 (exp x)))) (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 51 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (exp x))) (log (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (log (sqrt (+ 1 (exp x)))) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (+ (* (log (+ 1 (exp x))) (log (sqrt (+ 1 (exp x))))) (* (log (sqrt (+ 1 (exp x)))) (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 52 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (+ (* (log (+ 1 (exp x))) (log 1)) (* (log (+ 1 (exp x))) (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 53 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cbrt (+ 1 (exp x)))) (log (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ 1 (exp x)))) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (+ (* (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (log (+ 1 (exp x)))) (* (log (cbrt (+ 1 (exp x)))) (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 54 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (+ 1 (exp x)))) (log (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (log (sqrt (+ 1 (exp x)))) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (+ (* (log (sqrt (+ 1 (exp x)))) (log (+ 1 (exp x)))) (* (log (sqrt (+ 1 (exp x)))) (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 55 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (+ (* (log 1) (log (+ 1 (exp x)))) (* (log (+ 1 (exp x))) (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 56 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (exp x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (* (* (log (+ 1 (exp x))) 1) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 57 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (* (* (log (+ 1 (exp x))) (* (cbrt (log (+ 1 (exp x)))) (cbrt (log (+ 1 (exp x)))))) (cbrt (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 58 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (* (* (log (+ 1 (exp x))) (sqrt (log (+ 1 (exp x))))) (sqrt (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 59 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (exp x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x y) (/ (- (* (* (log (+ 1 (exp x))) 1) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 60 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ 1 (exp x)))) (cbrt (log (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 (exp x)))) (cbrt (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (* (* (cbrt (log (+ 1 (exp x)))) (cbrt (log (+ 1 (exp x))))) (* (cbrt (log (+ 1 (exp x)))) (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 62 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (- (* (sqrt (log (+ 1 (exp x)))) (* (sqrt (log (+ 1 (exp x)))) (log (+ 1 (exp x))))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 63 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* y x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* y x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (pow (* y x) (+ 1 1))) (+ (log (+ 1 (exp x))) (* y x)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 2 2) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (pow (* y x) (+ 1 1))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 66 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* y x) (* y x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (* y x) (* y x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (pow (* (* y x) (* y x)) 1)) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 67 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* y x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* y x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (pow (* y x) (+ 1 1))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 69 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* y x)) (log (* y x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (log (* y x)) (log (* y x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (exp (+ (log (* y x)) (log (* y x))))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 71 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* y x) (* y x)) (* y x)) (* (* (* y x) (* y x)) (* y x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (487 enodes) * [exit]simplify: Simplified to (pow (* (* y x) (* y x)) 3) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (cbrt (pow (* (* y x) (* y x)) 3))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 74 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (+ (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (log (cbrt (+ 1 (exp x))))) (* y x)))) * * * * [misc]progress: [ 82 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* y x)))) * * * * [misc]progress: [ 83 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (+ (log 1) (log (+ 1 (exp x)))) (* y x)))) * * * * [misc]progress: [ 84 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow (exp x) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp x) 3) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (- (log (+ (pow (exp x) 3) 1)) (log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) (* y x)))) * * * * [misc]progress: [ 85 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* (exp x) (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (- 1 (exp (+ x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (- (log (- 1 (exp (+ x x)))) (log (- 1 (exp x)))) (* y x)))) * * * * [misc]progress: [ 86 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 89 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8)))) * * * * [misc]progress: [ 96 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (+ (exp x) 1)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log (+ (exp x) 1)) (* y x))) * * * * [misc]progress: [ 97 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (+ (exp x) 1)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log (+ (exp x) 1)) (* y x))) * * * * [misc]progress: [ 98 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (+ (* (+ x (log 2)) (log 2)) (* (+ (log 2) 1) (* x (* x 1/4)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (- (+ (* (+ x (log 2)) (log 2)) (* (+ (log 2) 1) (* x (* x 1/4)))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 99 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (log (+ (exp x) 1)) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (- (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 100 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (log (+ (exp x) 1)) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (- (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) (* (* y x) (* y x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 101 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) 0) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 102 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow x 2) (pow y 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* y y) (* x x)) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y y) (* x x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 103 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow x 2) (pow y 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* y y) (* x x)) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y y) (* x x))) (+ (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 104 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) (* y x)))) * * * * [misc]progress: [ 105 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ (exp x) 1)) (* y x)))) * * * * [misc]progress: [ 106 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (+ (log (+ (exp x) 1)) (* y x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (log (+ 1 (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (log (+ 1 (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (log (+ 1 (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (log (+ 1 (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log (+ 1 (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (log (+ 1 (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (log (+ 1 (exp (/ 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]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: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) in y * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp x))) (* y x)) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) in y * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp x))) (* y x)) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (- (log (+ 1 (exp x))) (* y x)) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 (exp x)) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp x) 1)) 0) into (log (+ (exp x) 1)) * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp x) 1)) 0) into (log (+ (exp x) 1)) * [misc]backup-simplify: Simplify (/ (log (+ (exp x) 1)) (log (+ (exp x) 1))) into 1 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp x) 1)) 0) into (log (+ (exp x) 1)) * [misc]backup-simplify: Simplify (/ (log (+ (exp x) 1)) 1) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (- (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (log 2) (log 2)) into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (log 2) 1) into (log 2) * [misc]taylor: Taking taylor expansion of (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]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 (- (log (+ 1 (exp x))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp 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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (log 2) (log 2)) into 1 * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]backup-simplify: Simplify (/ (log 2) 1) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (+ 1/2 y) into (+ y 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (+ 1/2 y) into (+ y 1/2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (- (/ (+ y 1/2) (log 2)) (+ (* 1 (/ (- 1/2 y) (log 2))))) into (* 2 (/ y (log 2))) * [misc]backup-simplify: Simplify (- (/ (+ y 1/2) 1) (+ (* (log 2) (/ (* 2 (/ y (log 2))) 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (- (/ 1/8 (log 2)) (+ (* 1 (/ 1/8 (log 2))) (* (* 2 (/ y (log 2))) (/ (- 1/2 y) (log 2))))) into (- (* 2 (/ (pow y 2) (pow (log 2) 2))) (/ y (pow (log 2) 2))) * [misc]backup-simplify: Simplify (- (/ 1/8 1) (+ (* (log 2) (/ (- (* 2 (/ (pow y 2) (pow (log 2) 2))) (/ y (pow (log 2) 2))) 1)) (* (- 1/2 y) (/ (* 2 (/ y (log 2))) 1)))) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (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 (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (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 (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (/ (/ 1 x) (- (/ 1 x))) into -1 * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (/ 1 x) -1) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (/ 1 y) (- (/ 1 y))) into -1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (/ 1 y) -1) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (/ (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (/ 1 y) (- (/ 1 y))) into -1 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (/ 1 y) -1) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ -1 y) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y))) (+ (* -1 (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) * [misc]backup-simplify: Simplify (- (/ (log (+ (exp (/ 1 x)) 1)) -1) (+ (* (/ -1 y) (/ (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) -1)))) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -1 y) (/ (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) -1)) (* (log (+ (exp (/ 1 x)) 1)) (/ (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3)))) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -1 y) (/ (- (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3)))) -1)) (* (log (+ (exp (/ 1 x)) 1)) (/ (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) -1)) (* 0 (/ (- (* 2 (* y (log (+ (exp (/ 1 x)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3)))) (/ (log (+ (exp (/ 1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4)))) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -1 y) (/ (- (* 2 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4)))) -1)) (* (log (+ (exp (/ 1 x)) 1)) (/ (- (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3)))) -1)) (* 0 (/ (- (* 2 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) -1)) (* 0 (/ (- (* 2 (* y (log (+ (exp (/ 1 x)) 1))))) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (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 (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]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 (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]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 (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (- (/ 1 x)) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) * [misc]backup-simplify: Simplify (/ (/ 1 x) (- (/ 1 x))) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (/ 1 x) -1) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (/ 1 y) (- (/ 1 y))) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (/ 1 y) -1) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (/ (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]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 (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (/ (/ 1 y) (- (/ 1 y))) into -1 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 0 (/ 1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (/ (/ 1 y) -1) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ -1 y) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y))) (+ (* -1 (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) * [misc]backup-simplify: Simplify (- (/ (log (+ (exp (/ -1 x)) 1)) -1) (+ (* (/ -1 y) (/ (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) -1)))) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [misc]taylor: Taking taylor expansion of (exp (/ -1 x)) in y * [misc]taylor: Taking taylor expansion of (/ -1 x) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1 x) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -1 y) (/ (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) -1)) (* (log (+ (exp (/ -1 x)) 1)) (/ (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3)))) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -1 y) (/ (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3)))) -1)) (* (log (+ (exp (/ -1 x)) 1)) (/ (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) -1)) (* 0 (/ (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (/ 1 y))) (+ (* -1 (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) (/ 0 (- (/ 1 y)))) (* (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3)))) (/ (log (+ (exp (/ -1 x)) 1)) (- (/ 1 y)))))) into (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4)))) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -1 y) (/ (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4)))) -1)) (* (log (+ (exp (/ -1 x)) 1)) (/ (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3)))) -1)) (* 0 (/ (- (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)))) -1)) (* 0 (/ (- (* 2 (* (log (+ (exp (/ -1 x)) 1)) y))) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (+ (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (log (cbrt (+ 1 (exp x))))) (* y x))))) * * * * [misc]progress: [ 2 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* y x))))) * * * * [misc]progress: [ 3 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (+ (log 1) (log (+ 1 (exp x)))) (* y x))))) * * * * [misc]progress: [ 4 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow (exp x) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp x) 3) 1)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (- (log (+ (pow (exp x) 3) 1)) (log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) (* y x))))) * * * * [misc]progress: [ 5 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* (exp x) (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (- 1 (exp (+ x x)))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (- (log (- 1 (exp (+ x x)))) (log (- 1 (exp x)))) (* y x))))) * * * * [misc]progress: [ 6 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 9 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (+ (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (log (cbrt (+ 1 (exp x))))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 16 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 17 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (+ (log 1) (log (+ 1 (exp x)))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 18 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow (exp x) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp x) 3) 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (- (log (+ (pow (exp x) 3) 1)) (log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 19 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* (exp x) (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (- 1 (exp (+ x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (- (log (- 1 (exp (+ x x)))) (log (- 1 (exp x)))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 20 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 23 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (+ (+ (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (log (cbrt (+ 1 (exp x))))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 30 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (+ (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 31 / 136 ] 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 1 1) to (λ (x y) (/ (+ (+ (log 1) (log (+ 1 (exp x)))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 32 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow (exp x) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp x) 3) 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (+ (- (log (+ (pow (exp x) 3) 1)) (log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 33 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* (exp x) (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (- 1 (exp (+ x x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (+ (- (log (- 1 (exp (+ x x)))) (log (- 1 (exp x)))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 34 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 37 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ (log (+ 1 (exp x))) (* y x))) (log (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (log (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (exp (log (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 45 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (log (+ 1 (exp x))) (* y x))) (log (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (log (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (exp (log (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 46 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (/ (* (* (+ (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (* (* (- (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (pow (- (log (+ 1 (exp x))) (* y x)) 3) * [misc]simplify: Simplified (2 1) to (λ (x y) (cbrt (pow (- (log (+ 1 (exp x))) (* y x)) 3))) * * * * [misc]progress: [ 49 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (* (* (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (pow (* (- (log (+ 1 (exp x))) (* y x)) 1) 3) * [misc]simplify: Simplified (2 1) to (λ (x y) (cbrt (pow (* (- (log (+ 1 (exp x))) (* y x)) 1) 3))) * * * * [misc]progress: [ 50 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (+ (pow 1 3) (pow (exp x) 3))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (/ (log (+ (pow (exp x) 3) 1)) (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (* (/ (log (+ (pow (exp x) 3) 1)) (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))) (/ (- (log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x))))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 55 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (- (* 1 1) (* (exp x) (exp x)))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (* (- (log (+ (exp x) 1)) (* x y)) (/ (log (- 1 (* (exp x) (exp x)))) (+ (* x y) (log (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (* (- (log (+ (exp x) 1)) (* x y)) (/ (log (- 1 (* (exp x) (exp x)))) (+ (* x y) (log (+ (exp x) 1))))) (/ (- (log (- 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 56 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (* (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (* (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 57 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 58 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 59 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 60 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x y) (* 1 (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (exp x))) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* 1 (- (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 61 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 62 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 63 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 64 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ 1 (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 65 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ 1 (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 66 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 67 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 68 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ 1 (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (/ 1 (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (- (log (+ 1 (exp x))) (* y x)) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (+ (log (+ 1 (exp x))) (* y x))) (* (- (log (+ 1 (exp x))) (* y x)) (cbrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 69 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (* (* y x) (* y x)) (- (* y x))) (pow (log (+ 1 (exp x))) 3)) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (* (+ (* (* (* y x) (* y x)) (- (* y x))) (pow (log (+ 1 (exp x))) 3)) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 70 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x)))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x))))) * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x)))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 71 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (* (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (* (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (* (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (* (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 72 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 73 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (* (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (* (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 74 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 75 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 76 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 77 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 78 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x y) (* 1 (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (exp x))) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* 1 (- (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 79 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ 1 (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 80 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ 1 (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 81 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 82 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 83 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ 1 (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ 1 (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (- (log (+ 1 (exp x))) (* y x)) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) (* (- (log (+ 1 (exp x))) (* y x)) (sqrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 84 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))) (+ (pow (log (+ 1 (exp x))) 3) (* (- (* y x)) (* (* y x) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))) (+ (pow (log (+ 1 (exp x))) 3) (* (- (* y x)) (* (* y x) (* y x))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 85 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (* (- (log (+ 1 (exp x))) (* y x)) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (- (log (+ 1 (exp x))) (* y x)) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x))))) * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (- (log (+ 1 (exp x))) (* y x)) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 86 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (/ 1 (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (+ (* y x) (log (+ 1 (exp x)))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ 1 (* (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 87 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ 1 (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (+ (* y x) (log (+ 1 (exp x)))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ 1 (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 88 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (/ (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* (+ (* y x) (log (+ 1 (exp x)))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (/ (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (* (+ (* y x) (log (+ 1 (exp x)))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 89 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (log (+ 1 (exp x))) (* y x))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (- (log (+ 1 (exp x))) (* y x))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* (+ (* y x) (log (+ 1 (exp x)))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (- (log (+ 1 (exp x))) (* y x))) (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x))))))) (/ (* (+ (* y x) (log (+ 1 (exp x)))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 90 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (/ 1 (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (/ (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (/ 1 (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 91 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (cbrt (- (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* (+ (* y x) (log (+ 1 (exp x)))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (cbrt (- (log (+ 1 (exp x))) (* y x))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) (/ (* (+ (* y x) (log (+ 1 (exp x)))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 92 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* (+ (* y x) (log (+ 1 (exp x)))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (* (+ (* y x) (log (+ 1 (exp x)))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 93 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ 1 (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (/ (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ 1 (sqrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) (sqrt (+ (* y x) (log (+ 1 (exp x)))))))) * * * * [misc]progress: [ 94 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) (cbrt (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 95 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (- (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (sqrt (- (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 96 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x y) (* 1 (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (exp x))) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* 1 (- (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 97 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x y) (* 1 (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (exp x))) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* 1 (- (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 98 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ 1 (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ 1 (- (log (+ 1 (exp x))) (* y x)))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (/ 1 (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ 1 (+ (log (+ 1 (exp x))) (* y x))) (* (- (log (+ 1 (exp x))) (* y x)) (+ (* y x) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 99 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (log (+ 1 (exp x))) (* y x)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (/ (+ (* (- (* y x)) (* (* y x) (* y x))) (pow (log (+ 1 (exp x))) 3)) (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (/ (+ (* (- (* y x)) (* (* y x) (* y x))) (pow (log (+ 1 (exp x))) 3)) (+ (* y x) (log (+ 1 (exp x))))) (/ (+ (log (+ 1 (exp x))) (* y x)) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x))))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (+ (* y x) (log (+ 1 (exp x)))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ 1 (/ (+ (log (+ 1 (exp x))) (* y x)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (/ (+ (* y x) (log (+ 1 (exp x)))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)))))) * * * * [misc]progress: [ 100 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ (log (+ 1 (exp x))) (* y x)) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (exp x))) (* y x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (* (- (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))))) * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (x y) (* (- (log (+ 1 (exp x))) (* y x)) 1)) * * * * [misc]progress: [ 101 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (* (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) (cbrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))))) (cbrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 105 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) (sqrt (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 106 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 107 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 108 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) 1)) (/ (cbrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 109 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 110 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (sqrt (- (log (+ 1 (exp x))) (* y x))))) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (sqrt (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 111 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (sqrt (+ (log (+ 1 (exp x))) (* y x))) 1)) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 112 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (cbrt (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (+ (* y x) (log (+ 1 (exp x)))) (cbrt (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ 1 (* (cbrt (- (log (+ 1 (exp x))) (* y x))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (cbrt (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 113 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (sqrt (- (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (+ (* y x) (log (+ 1 (exp x)))) (sqrt (- (log (+ 1 (exp x))) (* y x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ 1 (sqrt (- (log (+ 1 (exp x))) (* y x))))) (/ (+ (* y x) (log (+ 1 (exp x)))) (sqrt (- (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 114 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ 1 1)) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 115 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) 1) (/ (+ (* y x) (log (+ 1 (exp x)))) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 116 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ 1 (- (log (+ 1 (exp x))) (* y x))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))) (/ 1 (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 117 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (+ (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * [exit]simplify: Simplified to (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (* (log (+ 1 (exp x))) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)))) (+ (* (+ (* y x) (log (+ 1 (exp x)))) (* y x)) (* (log (+ 1 (exp x))) (log (+ 1 (exp x))))))) * * * * [misc]progress: [ 118 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (* y x) (log (+ 1 (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x y) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))))) (+ (* y x) (log (+ 1 (exp x)))))) * * * * [misc]progress: [ 119 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (* (cbrt (+ (* y x) (log (+ 1 (exp x))))) (cbrt (+ (* y x) (log (+ 1 (exp x)))))) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) (cbrt (+ (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 120 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (log (+ 1 (exp x))) (* y x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ (* y x) (log (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (sqrt (+ (* y x) (log (+ 1 (exp x))))) (/ (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) (sqrt (+ (log (+ 1 (exp x))) (* y x)))))) * * * * [misc]progress: [ 121 / 136 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* y x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (exp x))) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (/ (+ (log (+ 1 (exp x))) (* y x)) (+ (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x)))) * * * * [misc]progress: [ 123 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (log (+ 1 (exp x))) 3) (pow (* y x) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * [exit]simplify: Simplified to (+ (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3)) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (+ (pow (log (+ 1 (exp x))) 3) (pow (* x y) 3)) (* (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) (+ (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (- (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x))))))) * * * * [misc]progress: [ 124 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (/ (- (* (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (* (* y x) (* y x))) (* (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 125 / 136 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) (* y x))))) * * * * [misc]progress: [ 126 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ (exp x) 1)) (* y x))))) * * * * [misc]progress: [ 127 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ (exp x) 1)) (* y x))))) * * * * [misc]progress: [ 128 / 136 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 129 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ (exp x) 1)) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 130 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x y) (/ (+ (log (+ 1 (exp x))) (* y x)) (/ (+ (log (+ (exp x) 1)) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 131 / 136 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (+ (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 132 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (+ (log (+ (exp x) 1)) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 133 / 136 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ (exp x) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (/ (+ (log (+ (exp x) 1)) (* y x)) (/ (+ (log (+ 1 (exp x))) (* y x)) (- (log (+ 1 (exp x))) (* y x))))) * * * * [misc]progress: [ 134 / 136 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8)))) * * * * [misc]progress: [ 135 / 136 ] 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 (21 enodes) * [exit]simplify: Simplified to (- (log (+ (exp x) 1)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log (+ (exp x) 1)) (* y x))) * * * * [misc]progress: [ 136 / 136 ] 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 (21 enodes) * [exit]simplify: Simplified to (- (log (+ (exp x) 1)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log (+ (exp x) 1)) (* 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 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (+ x (+ (* 1/2 (pow x 2)) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ x (+ (* 1/2 (pow x 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 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 (pow x 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ x (+ (* 1/2 (pow x 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 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 (pow x 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) 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 (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 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 (pow (/ 1 x) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log x))) into (* -2 (log x)) * [misc]backup-simplify: Simplify (exp (* -2 (log x))) into (pow x -2) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 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 (pow (/ 1 x) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log x))) into (* -2 (log x)) * [misc]backup-simplify: Simplify (exp (* -2 (log x))) into (pow x -2) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow x -2)) into (/ 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow x 2)) 2) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/2 (/ 1 (pow x 2))) 2)) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 1/2 (/ 1 (pow x 2))) 2)) 1)) (pow 1 1)))) 1) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (pow x 2))) 2) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (pow x -2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 1/2 (/ 1 (pow x 2))) 2)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (* 1/4 (/ 1 (pow x 4))) (+ 4 (* 2 (/ 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 1/4 (/ 1 (pow x 4))) (+ 4 (* 2 (/ 1 (pow x 2)))))) into (* -1/2 (+ (* 1/4 (/ 1 (pow x 4))) (+ 4 (* 2 (/ 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (+ (* 1/4 (/ 1 (pow (/ 1 x) 4))) (+ 4 (* 2 (/ 1 (pow (/ 1 x) 2)))))) (pow (/ 1 x) 2)) (+ (* (+ (* 1/2 (/ 1 (pow (/ 1 x) 2))) 2) (/ 1 x)) (- (log (/ 1 x))))) into (- (+ (* 1/2 x) (* 2 (/ 1 x))) (+ (log (/ 1 x)) (+ (* 1/8 (pow x 2)) (+ (* 2 (/ 1 (pow x 2))) 1)))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 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 (pow (/ 1 (- x)) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log x))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log x)))) into (exp (* 2 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 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 (pow (/ 1 (- x)) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log x))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log x)))) into (exp (* 2 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (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 (* 1/2 (exp (* 2 (- (log -1) (log x))))) into (* 1/2 (exp (* 2 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) into (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) into (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) 1)) (pow -1 1)))) 1) into (* -1 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) * [misc]backup-simplify: Simplify (* -1 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) into (* -1 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (* 2 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (* -1/2 (+ (* 1/4 (pow (exp (* 2 (- (log -1) (log x)))) 2)) (+ (* 2 (exp (* 2 (- (log -1) (log x))))) 4))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 1/4 (pow (exp (* 2 (- (log -1) (log x)))) 2)) (+ (* 2 (exp (* 2 (- (log -1) (log x))))) 4))) into (* -1/2 (+ (* 1/4 (pow (exp (* 2 (- (log -1) (log x)))) 2)) (+ (* 2 (exp (* 2 (- (log -1) (log x))))) 4))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (+ (* 1/4 (pow (exp (* 2 (- (log -1) (log (/ 1 (- x)))))) 2)) (+ (* 2 (exp (* 2 (- (log -1) (log (/ 1 (- x))))))) 4))) (pow (/ 1 (- x)) 2)) (+ (* (* -1 (+ (* 1/2 (exp (* 2 (- (log -1) (log (/ 1 (- x))))))) 2)) (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (* 2 (/ 1 x)) (+ (* 1/2 (/ (exp (* 2 (- (log -1) (log (/ -1 x))))) x)) (log -1))) (+ (* 2 (/ 1 (pow x 2))) (+ (* 1/8 (/ (pow (exp (* 2 (- (log -1) (log (/ -1 x))))) 2) (pow x 2))) (+ (log (/ -1 x)) (/ (exp (* 2 (- (log -1) (log (/ -1 x))))) (pow x 2)))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log (+ x (+ (* 1/2 (pow x 2)) 2))) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ x (+ (* 1/2 (pow x 2)) 2))) (* y x)) in y * [misc]taylor: Taking taylor expansion of (log (+ x (+ (* 1/2 (pow x 2)) 2))) in y * [misc]taylor: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 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 (pow x 2)) 2) in y * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log x))) in 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 (exp (* 2 (log x))) into (pow x 2) * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1/2 (pow x 2)) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) 2) into (+ (* 1/2 (pow x 2)) 2) * [misc]backup-simplify: Simplify (+ x (+ (* 1/2 (pow x 2)) 2)) 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 (* 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 (- (log (+ x (+ (* 1/2 (pow x 2)) 2))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ x (+ (* 1/2 (pow x 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 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 (pow x 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 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 (- (log (+ x (+ (* 1/2 (pow x 2)) 2))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log (+ x (+ (* 1/2 (pow x 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 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 (pow x 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 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 (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) 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 (- (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 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 (pow (/ 1 x) 2)) 2) in y * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 x)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 2 (log (/ 1 x))) into (* 2 (log (/ 1 x))) * [misc]backup-simplify: Simplify (exp (* 2 (log (/ 1 x)))) into (pow (/ 1 x) 2) * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1/2 (pow (/ 1 x) 2)) into (/ 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow x 2)) 2) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (+ (/ 1 x) (+ (* 1/2 (/ 1 (pow x 2))) 2)) into (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2)) * [misc]backup-simplify: Simplify (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 2))) into (log (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 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 (- (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 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 (pow (/ 1 x) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log x))) into (* -2 (log x)) * [misc]backup-simplify: Simplify (exp (* -2 (log x))) into (pow x -2) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [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 (- (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 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 (pow (/ 1 x) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log x))) into (* -2 (log x)) * [misc]backup-simplify: Simplify (exp (* -2 (log x))) into (pow x -2) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log x)) 0) into (- (log x)) * [misc]taylor: Taking taylor expansion of (- (log x)) in y * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow x -2)) into (/ 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow x 2)) 2) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/2 (/ 1 (pow x 2))) 2)) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 1/2 (/ 1 (pow x 2))) 2)) 1)) (pow 1 1)))) 1) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 (pow x 2))) 2) 0) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 2) in y * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in y * [misc]taylor: Taking taylor expansion of (pow x 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log x))) in 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 (exp (* 2 (log x))) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (pow x -2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 1/2 (/ 1 (pow x 2))) 2)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (* -1/2 (+ (* 1/4 (/ 1 (pow x 4))) (+ 4 (* 2 (/ 1 (pow x 2)))))) * [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 (+ (* -1/2 (+ (* 1/4 (/ 1 (pow x 4))) (+ 4 (* 2 (/ 1 (pow x 2)))))) 0) into (- (+ (* 1/8 (/ 1 (pow x 4))) (+ 2 (/ 1 (pow x 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (pow x 4))) (+ 2 (/ 1 (pow x 2))))) in y * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow x 4))) (+ 2 (/ 1 (pow x 2)))) in y * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (pow x 4))) 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 (pow x 4)) in y * [misc]taylor: Taking taylor expansion of (pow x 4) in y * [misc]taylor: Taking taylor expansion of (exp (* 4 (log x))) in y * [misc]taylor: Taking taylor expansion of (* 4 (log x)) in y * [misc]taylor: Taking taylor expansion of 4 in y * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log 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 (* 4 (log x)) into (* 4 (log x)) * [misc]backup-simplify: Simplify (exp (* 4 (log x))) into (pow x 4) * [misc]backup-simplify: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) * [misc]taylor: Taking taylor expansion of (+ 2 (/ 1 (pow x 2))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in y * [misc]taylor: Taking taylor expansion of (pow x 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log x))) in 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 (exp (* 2 (log x))) into (pow x 2) * [misc]backup-simplify: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow x 2)) 2) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (pow x 2))) 2) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 (pow (/ 1 x) 2))) 2) (* 1 (/ 1 x))) (+ (- (log (/ 1 x))) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (- (+ (* 1/2 x) (* 2 (/ 1 x))) (+ (log (/ 1 x)) (* x y))) * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) in y * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 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 (pow (/ 1 (- x)) 2)) 2) in y * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 (- x)) 2)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- x))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* 2 (log (/ -1 x))) into (* 2 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp (* 2 (log (/ -1 x)))) into (pow (/ -1 x) 2) * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1/2 (pow (/ -1 x) 2)) into (/ 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow x 2)) 2) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (+ (/ -1 x) (+ (* 1/2 (/ 1 (pow x 2))) 2)) into (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x)) * [misc]backup-simplify: Simplify (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x))) into (log (- (+ (* 1/2 (/ 1 (pow x 2))) 2) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 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 (pow (/ 1 (- x)) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log x))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log x)))) into (exp (* 2 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -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 (- (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 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 (pow (/ 1 (- x)) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log x))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log x)))) into (exp (* 2 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -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 (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log -1) (log x)) 0) into (- (log -1) (log x)) * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in y * [misc]taylor: Taking taylor expansion of (log -1) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (* 1/2 (exp (* 2 (- (log -1) (log x))))) into (* 1/2 (exp (* 2 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) into (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) into (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) 1)) (pow -1 1)))) 1) into (* -1 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) 0) into (- (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) in y * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) in y * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (* 2 (- (log -1) (log x))))) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1) (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 -1) (log x)) in y * [misc]taylor: Taking taylor expansion of (log -1) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log x))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log x)))) into (exp (* 2 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (* 2 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (* -1/2 (+ (* 1/4 (pow (exp (* 2 (- (log -1) (log x)))) 2)) (+ (* 2 (exp (* 2 (- (log -1) (log x))))) 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (* 1/4 (pow (exp (* 2 (- (log -1) (log x)))) 2)) (+ (* 2 (exp (* 2 (- (log -1) (log x))))) 4))) 0) into (- (+ (* 1/8 (pow (exp (* 2 (- (log -1) (log x)))) 2)) (+ (exp (* 2 (- (log -1) (log x)))) 2))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (pow (exp (* 2 (- (log -1) (log x)))) 2)) (+ (exp (* 2 (- (log -1) (log x)))) 2))) in y * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (pow (exp (* 2 (- (log -1) (log x)))) 2)) (+ (exp (* 2 (- (log -1) (log x)))) 2)) in y * [misc]taylor: Taking taylor expansion of (* 1/8 (pow (exp (* 2 (- (log -1) (log x)))) 2)) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow (exp (* 2 (- (log -1) (log x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 2 (- (log -1) (log x))))))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 2 (- (log -1) (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 (exp (* 2 (- (log -1) (log x))))) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1) (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 -1) (log x)) in y * [misc]taylor: Taking taylor expansion of (log -1) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log x))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log x)))) into (exp (* 2 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 2 (- (log -1) (log x))))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (* 2 (* 2 (- (log -1) (log x)))) into (* 4 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log x)))) into (exp (* 4 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log -1) (log x)))) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log -1) (log x)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (- (log -1) (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 -1) (log x)) in y * [misc]taylor: Taking taylor expansion of (log -1) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log x))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log x)))) into (exp (* 2 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1/2 (exp (* 2 (- (log -1) (log x))))) into (* 1/2 (exp (* 2 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) into (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) into (- (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) into (- (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (exp (* 2 (- (log -1) (log (/ 1 (- x))))))) 2)) (* 1 (/ 1 (- x)))) (+ (- (log -1) (log (/ 1 (- x)))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (- (+ (* 1/2 (/ (exp (* 2 (- (log -1) (log (/ -1 x))))) x)) (+ (log -1) (* 2 (/ 1 x)))) (+ (log (/ -1 x)) (* x y))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 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 (pow x 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ x (+ (* 1/2 (pow x 2)) 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 (pow x 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) 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 x) (+ (* 1/2 (pow (/ 1 x) 2)) 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 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 (pow (/ 1 x) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log x))) into (* -2 (log x)) * [misc]backup-simplify: Simplify (exp (* -2 (log x))) into (pow x -2) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (* 1/2 (pow (/ 1 x) 2)) 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 (pow (/ 1 x) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log x))) into (* -2 (log x)) * [misc]backup-simplify: Simplify (exp (* -2 (log x))) into (pow x -2) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow x -2)) into (/ 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow x 2)) 2) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/2 (/ 1 (pow x 2))) 2)) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (pow x 2))) 2) into (+ (* 1/2 (/ 1 (pow x 2))) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (pow x -2))) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow x -2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x -2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log x))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x -2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log x))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x -2))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log x))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow x -2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 (pow (/ 1 x) 2))) 2) (* 1 (/ 1 (/ 1 x)))) into (+ x (+ (* 1/2 (pow x 2)) 2)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 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 (pow (/ 1 (- x)) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log x))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log x)))) into (exp (* 2 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (* 1/2 (pow (/ 1 (- x)) 2)) 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 (pow (/ 1 (- x)) 2)) 2) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log x))) into (* 2 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log x)))) into (exp (* 2 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (* 1/2 (exp (* 2 (- (log -1) (log x))))) into (* 1/2 (exp (* 2 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) into (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2)) into (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 2) into (+ (* 1/2 (exp (* 2 (- (log -1) (log x))))) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (exp (* 2 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log x)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log x)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2 (- (log -1) (log x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (exp (* 2 (- (log -1) (log (/ 1 (- x))))))) 2) (* -1 (/ 1 (/ 1 (- x))))) into (+ x (+ (* 1/2 (exp (* 2 (- (log -1) (log (/ -1 x)))))) 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ x (+ (* 1/2 (pow x 2)) 2))) (cbrt (+ x (+ (* 1/2 (pow x 2)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (* x (* x 1/2)) (+ x 2)))) (log (cbrt (+ (* x (* x 1/2)) (+ x 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (+ (+ (log (cbrt (+ (* x (* x 1/2)) (+ x 2)))) (log (cbrt (+ (* x (* x 1/2)) (+ x 2))))) (log (cbrt (+ x (+ (* 1/2 (pow x 2)) 2))))) (* y x))) * * * * [misc]progress: [ 2 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ x (+ (* 1/2 (pow x 2)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (+ x 2) (* (* x x) 1/2)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (+ (log (sqrt (+ (+ x 2) (* (* x x) 1/2)))) (log (sqrt (+ x (+ (* 1/2 (pow x 2)) 2))))) (* y x))) * * * * [misc]progress: [ 3 / 51 ] 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 1) to (λ (x y) (- (+ (log 1) (log (+ x (+ (* 1/2 (pow x 2)) 2)))) (* y x))) * * * * [misc]progress: [ 4 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow x 3) (pow (+ (* 1/2 (pow x 2)) 2) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * [exit]simplify: Simplified to (log (+ (pow (+ (* 1/2 (* x x)) 2) 3) (pow x 3))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (- (log (+ (pow (+ (* 1/2 (* x x)) 2) 3) (pow x 3))) (log (+ (* x x) (- (* (+ (* 1/2 (pow x 2)) 2) (+ (* 1/2 (pow x 2)) 2)) (* x (+ (* 1/2 (pow x 2)) 2)))))) (* y x))) * * * * [misc]progress: [ 5 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* x x) (* (+ (* 1/2 (pow x 2)) 2) (+ (* 1/2 (pow x 2)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (log (* (+ (+ 2 x) (* x (* x 1/2))) (- (- x 2) (* x (* x 1/2))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (- (log (* (+ (+ 2 x) (* x (* x 1/2))) (- (- x 2) (* x (* x 1/2))))) (log (- x (+ (* 1/2 (pow x 2)) 2)))) (* y x))) * * * * [misc]progress: [ 6 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/2 (pow x 2)) 2)) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (+ x 2) (* (* x x) 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log (+ (+ x 2) (* (* x x) 1/2))) (* y x))) * * * * [misc]progress: [ 9 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x (+ (* 1/2 (pow x 2)) 2)) (exp (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (+ (+ x 2) (* x (* x 1/2))) (exp (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (+ (+ x 2) (* x (* x 1/2))) (exp (* y x))))) * * * * [misc]progress: [ 16 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ x (+ (* 1/2 (pow x 2)) 2))) (cbrt (+ x (+ (* 1/2 (pow x 2)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (* x (* x 1/2)) (+ x 2)))) (log (cbrt (+ (* x (* x 1/2)) (+ x 2))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (+ (log (cbrt (+ (* x (* x 1/2)) (+ x 2)))) (log (cbrt (+ (* x (* x 1/2)) (+ x 2))))) (- (log (cbrt (+ x (+ (* 1/2 (pow x 2)) 2)))) (* y x)))) * * * * [misc]progress: [ 27 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ x (+ (* 1/2 (pow x 2)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (+ x 2) (* (* x x) 1/2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (sqrt (+ (+ x 2) (* (* x x) 1/2)))) (- (log (sqrt (+ x (+ (* 1/2 (pow x 2)) 2)))) (* y x)))) * * * * [misc]progress: [ 28 / 51 ] 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 (+ x (+ (* 1/2 (pow x 2)) 2))) (* y x)))) * * * * [misc]progress: [ 29 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow x 3) (pow (+ (* 1/2 (pow x 2)) 2) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * [exit]simplify: Simplified to (log (+ (pow (+ (* 1/2 (* x x)) 2) 3) (pow x 3))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (+ (pow (+ (* 1/2 (* x x)) 2) 3) (pow x 3))) (+ (log (+ (* x x) (- (* (+ (* 1/2 (pow x 2)) 2) (+ (* 1/2 (pow x 2)) 2)) (* x (+ (* 1/2 (pow x 2)) 2))))) (* y x)))) * * * * [misc]progress: [ 30 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* x x) (* (+ (* 1/2 (pow x 2)) 2) (+ (* 1/2 (pow x 2)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (log (* (+ (+ 2 x) (* x (* x 1/2))) (- (- x 2) (* x (* x 1/2))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (* (+ (+ 2 x) (* x (* x 1/2))) (- (- x 2) (* x (* x 1/2))))) (+ (log (- x (+ (* 1/2 (pow x 2)) 2))) (* y x)))) * * * * [misc]progress: [ 31 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 51 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) (* y x))) * * * * [misc]progress: [ 44 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) (* 2 (/ 1 x))) (+ (log (/ 1 x)) (+ (* 1/8 (pow x 2)) (+ (* 2 (/ 1 (pow x 2))) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (- (- (+ (log x) (/ 2 x)) (* x (* x 1/8))) (+ (/ 2 (* x x)) (- 1 (* 1/2 x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (- (- (+ (log x) (/ 2 x)) (* x (* x 1/8))) (+ (/ 2 (* x x)) (- 1 (* 1/2 x)))) (* y x))) * * * * [misc]progress: [ 45 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 x)) (+ (* 1/2 (/ (exp (* 2 (- (log -1) (log (/ -1 x))))) x)) (log -1))) (+ (* 2 (/ 1 (pow x 2))) (+ (* 1/8 (/ (pow (exp (* 2 (- (log -1) (log (/ -1 x))))) 2) (pow x 2))) (+ (log (/ -1 x)) (/ (exp (* 2 (- (log -1) (log (/ -1 x))))) (pow x 2)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (- (+ (* (/ 1/2 x) (pow (exp 2) (+ 0 (log x)))) (+ (/ 2 x) (- (log -1) (/ 2 (* x x))))) (+ (* (/ 1/8 (* x x)) (exp (* (+ 0 (log x)) (+ 2 2)))) (+ (log (/ -1 x)) (/ (pow (exp 2) (+ 0 (log x))) (* x x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (- (+ (* (/ 1/2 x) (pow (exp 2) (+ 0 (log x)))) (+ (/ 2 x) (- (log -1) (/ 2 (* x x))))) (+ (* (/ 1/8 (* x x)) (exp (* (+ 0 (log x)) (+ 2 2)))) (+ (log (/ -1 x)) (/ (pow (exp 2) (+ 0 (log x))) (* x x))))) (* y x))) * * * * [misc]progress: [ 46 / 51 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8))) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (log 2) (* 1/2 x)) (* x (* x 1/8)))) * * * * [misc]progress: [ 47 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) (* 2 (/ 1 x))) (+ (log (/ 1 x)) (* x y))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (+ (+ (log x) (/ 2 x)) (* x (- 1/2 y))) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (log x) (/ 2 x)) (* x (- 1/2 y)))) * * * * [misc]progress: [ 48 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (exp (* 2 (- (log -1) (log (/ -1 x))))) x)) (+ (log -1) (* 2 (/ 1 x)))) (+ (log (/ -1 x)) (* x y))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (+ (+ (- (log x) (* x y)) (* (/ 1/2 x) (* x x))) (/ 2 x)) * [misc]simplify: Simplified (2) to (λ (x y) (+ (+ (- (log x) (* x y)) (* (/ 1/2 x) (* x x))) (/ 2 x))) * * * * [misc]progress: [ 49 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/2 (pow x 2)) 2)) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (+ x 2) (* (* x x) 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log (+ (+ x 2) (* (* x x) 1/2))) (* y x))) * * * * [misc]progress: [ 50 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/2 (pow x 2)) 2)) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (+ x 2) (* (* x x) 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log (+ (+ x 2) (* (* x x) 1/2))) (* y x))) * * * * [misc]progress: [ 51 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/2 (exp (* 2 (- (log -1) (log (/ -1 x)))))) 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * [exit]simplify: Simplified to (+ (* (* x 1/2) x) (+ x 2)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log (+ (* (* x 1/2) x) (+ x 2))) (* y x))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 2 branch expressions: (y x) * * * * [misc]regimes: Trying to branch on y from (# # #) * * * * [misc]regimes: Trying to branch on x from (# # #) * * * [misc]regime: Found split indices: #