14.668 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.102 * * * [progress]: [2/2] Setting up program.
0.106 * [progress]: [Phase 2 of 3] Improving.
0.107 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (- (log (+ 1 (exp x))) (* x y)))>
0.107 * [simplify]: Simplifying:
  (- (log (+ 1 (exp x))) (* x y))
0.107 * * [simplify]: iteration 1: (8 enodes)
0.109 * * [simplify]: iteration 2: (15 enodes)
0.113 * * [simplify]: iteration 3: (22 enodes)
0.119 * * [simplify]: iteration 4: (26 enodes)
0.123 * * [simplify]: Extracting #0: cost 1 inf + 0
0.124 * * [simplify]: Extracting #1: cost 8 inf + 0
0.124 * * [simplify]: Extracting #2: cost 5 inf + 167
0.124 * * [simplify]: Extracting #3: cost 4 inf + 279
0.124 * * [simplify]: Extracting #4: cost 1 inf + 683
0.124 * * [simplify]: Extracting #5: cost 0 inf + 795
0.125 * [simplify]: Simplified to:
  (- (log1p (exp x)) (* y x))
0.134 * * [progress]: iteration 1 / 4
0.134 * * * [progress]: picking best candidate
0.138 * * * * [pick]: Picked  #<alt (λ (x y) (- (log1p (exp x)) (* y x)))>
0.138 * * * [progress]: localizing error
0.177 * * * [progress]: generating rewritten candidates
0.177 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.178 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.189 * * * [progress]: generating series expansions
0.189 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.189 * [backup-simplify]: Simplify (log1p (exp x)) into (log1p (exp x))
0.189 * [approximate]: Taking taylor expansion of (log1p (exp x)) in (x) around 0
0.189 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.189 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.189 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.189 * [taylor]: Taking taylor expansion of 1 in x
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [taylor]: Taking taylor expansion of (exp x) in x
0.189 * [taylor]: Taking taylor expansion of x in x
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (exp 0) into 1
0.190 * [backup-simplify]: Simplify (+ 1 1) into 2
0.191 * [backup-simplify]: Simplify (log 2) into (log 2)
0.191 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.191 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.191 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.191 * [taylor]: Taking taylor expansion of 1 in x
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [taylor]: Taking taylor expansion of (exp x) in x
0.191 * [taylor]: Taking taylor expansion of x in x
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (exp 0) into 1
0.191 * [backup-simplify]: Simplify (+ 1 1) into 2
0.192 * [backup-simplify]: Simplify (log 2) into (log 2)
0.192 * [backup-simplify]: Simplify (log 2) into (log 2)
0.193 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
0.194 * [backup-simplify]: Simplify (+ 0 1) into 1
0.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
0.195 * [backup-simplify]: Simplify 1/2 into 1/2
0.198 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
0.198 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.203 * [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
0.203 * [backup-simplify]: Simplify 1/8 into 1/8
0.204 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
0.204 * [backup-simplify]: Simplify (log1p (exp (/ 1 x))) into (log1p (exp (/ 1 x)))
0.204 * [approximate]: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0
0.204 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.204 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.204 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.204 * [taylor]: Taking taylor expansion of 1 in x
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.204 * [taylor]: Taking taylor expansion of x in x
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (/ 1 1) into 1
0.205 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.205 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.205 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.205 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.205 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.205 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.205 * [taylor]: Taking taylor expansion of 1 in x
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.206 * [taylor]: Taking taylor expansion of x in x
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.207 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.207 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.207 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
0.209 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [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
0.212 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [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
0.216 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [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
0.222 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [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
0.230 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [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
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1))
0.244 * [backup-simplify]: Simplify (log1p (exp (/ 1 (- x)))) into (log1p (exp (/ -1 x)))
0.244 * [approximate]: Taking taylor expansion of (log1p (exp (/ -1 x))) in (x) around 0
0.244 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.244 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.244 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.244 * [taylor]: Taking taylor expansion of 1 in x
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.244 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.244 * [taylor]: Taking taylor expansion of -1 in x
0.244 * [backup-simplify]: Simplify -1 into -1
0.244 * [taylor]: Taking taylor expansion of x in x
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify (/ -1 1) into -1
0.245 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.245 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.245 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.245 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.245 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.245 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.245 * [taylor]: Taking taylor expansion of 1 in x
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.246 * [taylor]: Taking taylor expansion of -1 in x
0.246 * [backup-simplify]: Simplify -1 into -1
0.246 * [taylor]: Taking taylor expansion of x in x
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (/ -1 1) into -1
0.246 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.246 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.246 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.247 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [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
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [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
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [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
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [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
0.269 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [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
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1))
0.283 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.283 * [backup-simplify]: Simplify (- (log1p (exp x)) (* y x)) into (- (log1p (exp x)) (* x y))
0.283 * [approximate]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in (x y) around 0
0.283 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in y
0.283 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
0.284 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.284 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
0.284 * [taylor]: Taking taylor expansion of 1 in y
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [taylor]: Taking taylor expansion of (exp x) in y
0.284 * [taylor]: Taking taylor expansion of x in y
0.284 * [backup-simplify]: Simplify x into x
0.284 * [backup-simplify]: Simplify (exp x) into (exp x)
0.284 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
0.284 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
0.284 * [taylor]: Taking taylor expansion of (* x y) in y
0.284 * [taylor]: Taking taylor expansion of x in y
0.284 * [backup-simplify]: Simplify x into x
0.284 * [taylor]: Taking taylor expansion of y in y
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x
0.284 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.284 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.284 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.284 * [taylor]: Taking taylor expansion of 1 in x
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [taylor]: Taking taylor expansion of (exp x) in x
0.284 * [taylor]: Taking taylor expansion of x in x
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (exp 0) into 1
0.285 * [backup-simplify]: Simplify (+ 1 1) into 2
0.285 * [backup-simplify]: Simplify (log 2) into (log 2)
0.285 * [taylor]: Taking taylor expansion of (* x y) in x
0.285 * [taylor]: Taking taylor expansion of x in x
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [taylor]: Taking taylor expansion of y in x
0.285 * [backup-simplify]: Simplify y into y
0.285 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x
0.285 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.286 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.286 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.286 * [taylor]: Taking taylor expansion of 1 in x
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [taylor]: Taking taylor expansion of (exp x) in x
0.286 * [taylor]: Taking taylor expansion of x in x
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (exp 0) into 1
0.286 * [backup-simplify]: Simplify (+ 1 1) into 2
0.287 * [backup-simplify]: Simplify (log 2) into (log 2)
0.287 * [taylor]: Taking taylor expansion of (* x y) in x
0.287 * [taylor]: Taking taylor expansion of x in x
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [taylor]: Taking taylor expansion of y in x
0.287 * [backup-simplify]: Simplify y into y
0.287 * [backup-simplify]: Simplify (* 0 y) into 0
0.287 * [backup-simplify]: Simplify (- 0) into 0
0.288 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
0.288 * [taylor]: Taking taylor expansion of (log 2) in y
0.288 * [taylor]: Taking taylor expansion of 2 in y
0.288 * [backup-simplify]: Simplify 2 into 2
0.289 * [backup-simplify]: Simplify (log 2) into (log 2)
0.289 * [backup-simplify]: Simplify (log 2) into (log 2)
0.290 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
0.291 * [backup-simplify]: Simplify (+ 0 1) into 1
0.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
0.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.293 * [backup-simplify]: Simplify (- y) into (- y)
0.293 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y)
0.293 * [taylor]: Taking taylor expansion of (- 1/2 y) in y
0.293 * [taylor]: Taking taylor expansion of 1/2 in y
0.293 * [backup-simplify]: Simplify 1/2 into 1/2
0.293 * [taylor]: Taking taylor expansion of y in y
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (- 0) into 0
0.294 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.294 * [backup-simplify]: Simplify 1/2 into 1/2
0.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
0.297 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.300 * [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
0.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.302 * [backup-simplify]: Simplify (- 0) into 0
0.302 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
0.302 * [taylor]: Taking taylor expansion of 1/8 in y
0.302 * [backup-simplify]: Simplify 1/8 into 1/8
0.302 * [backup-simplify]: Simplify 1/8 into 1/8
0.303 * [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))))
0.303 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) into (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))
0.303 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in (x y) around 0
0.303 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in y
0.303 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
0.303 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.303 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
0.303 * [taylor]: Taking taylor expansion of 1 in y
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [backup-simplify]: Simplify x into x
0.303 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.304 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.304 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.304 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.304 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.304 * [taylor]: Taking taylor expansion of (* x y) in y
0.304 * [taylor]: Taking taylor expansion of x in y
0.304 * [backup-simplify]: Simplify x into x
0.304 * [taylor]: Taking taylor expansion of y in y
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (* x 0) into 0
0.304 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.304 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.305 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x
0.305 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.305 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.305 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.305 * [taylor]: Taking taylor expansion of 1 in x
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.305 * [taylor]: Taking taylor expansion of x in x
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.305 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.306 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.306 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.306 * [taylor]: Taking taylor expansion of (* x y) in x
0.306 * [taylor]: Taking taylor expansion of x in x
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [taylor]: Taking taylor expansion of y in x
0.306 * [backup-simplify]: Simplify y into y
0.306 * [backup-simplify]: Simplify (* 0 y) into 0
0.306 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.306 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.306 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x
0.306 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.306 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.306 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.306 * [taylor]: Taking taylor expansion of 1 in x
0.306 * [backup-simplify]: Simplify 1 into 1
0.307 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.307 * [taylor]: Taking taylor expansion of x in x
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.307 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.307 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.307 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.307 * [taylor]: Taking taylor expansion of (* x y) in x
0.307 * [taylor]: Taking taylor expansion of x in x
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [taylor]: Taking taylor expansion of y in x
0.308 * [backup-simplify]: Simplify y into y
0.308 * [backup-simplify]: Simplify (* 0 y) into 0
0.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.308 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.308 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.308 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.308 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.308 * [taylor]: Taking taylor expansion of y in y
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [backup-simplify]: Simplify (- 1) into -1
0.309 * [backup-simplify]: Simplify -1 into -1
0.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.311 * [backup-simplify]: Simplify (- 0) into 0
0.311 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1))
0.311 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
0.311 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
0.311 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.311 * [taylor]: Taking taylor expansion of x in y
0.311 * [backup-simplify]: Simplify x into x
0.311 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.311 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.311 * [taylor]: Taking taylor expansion of 1 in y
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
0.311 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (- 0) into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
0.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.321 * [backup-simplify]: Simplify (- 0) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [taylor]: Taking taylor expansion of 0 in y
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (- 0) into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [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
0.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.327 * [backup-simplify]: Simplify (- 0) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [taylor]: Taking taylor expansion of 0 in y
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.329 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (- 0) into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [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
0.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.338 * [backup-simplify]: Simplify (- 0) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in y
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y))
0.339 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) into (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))
0.339 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in (x y) around 0
0.339 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in y
0.339 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
0.339 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.339 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
0.339 * [taylor]: Taking taylor expansion of 1 in y
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.339 * [taylor]: Taking taylor expansion of -1 in y
0.339 * [backup-simplify]: Simplify -1 into -1
0.339 * [taylor]: Taking taylor expansion of x in y
0.339 * [backup-simplify]: Simplify x into x
0.339 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.339 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.339 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.339 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.339 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.339 * [taylor]: Taking taylor expansion of (* x y) in y
0.339 * [taylor]: Taking taylor expansion of x in y
0.339 * [backup-simplify]: Simplify x into x
0.339 * [taylor]: Taking taylor expansion of y in y
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (* x 0) into 0
0.340 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.340 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.340 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x
0.340 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.340 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.340 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.340 * [taylor]: Taking taylor expansion of 1 in x
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.340 * [taylor]: Taking taylor expansion of -1 in x
0.340 * [backup-simplify]: Simplify -1 into -1
0.340 * [taylor]: Taking taylor expansion of x in x
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [backup-simplify]: Simplify (/ -1 1) into -1
0.340 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.340 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.341 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.341 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.341 * [taylor]: Taking taylor expansion of (* x y) in x
0.341 * [taylor]: Taking taylor expansion of x in x
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [taylor]: Taking taylor expansion of y in x
0.341 * [backup-simplify]: Simplify y into y
0.341 * [backup-simplify]: Simplify (* 0 y) into 0
0.341 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.341 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.341 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x
0.341 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.341 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.341 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.341 * [taylor]: Taking taylor expansion of 1 in x
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.341 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.341 * [taylor]: Taking taylor expansion of -1 in x
0.341 * [backup-simplify]: Simplify -1 into -1
0.341 * [taylor]: Taking taylor expansion of x in x
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (/ -1 1) into -1
0.341 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.342 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.342 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.342 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.342 * [taylor]: Taking taylor expansion of (* x y) in x
0.342 * [taylor]: Taking taylor expansion of x in x
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [taylor]: Taking taylor expansion of y in x
0.342 * [backup-simplify]: Simplify y into y
0.342 * [backup-simplify]: Simplify (* 0 y) into 0
0.342 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.342 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.342 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.342 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.342 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.342 * [taylor]: Taking taylor expansion of y in y
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify (/ 1 1) into 1
0.343 * [backup-simplify]: Simplify (- 1) into -1
0.343 * [backup-simplify]: Simplify -1 into -1
0.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.344 * [backup-simplify]: Simplify (- 0) into 0
0.344 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1))
0.344 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
0.344 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
0.344 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
0.344 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.344 * [taylor]: Taking taylor expansion of -1 in y
0.344 * [backup-simplify]: Simplify -1 into -1
0.344 * [taylor]: Taking taylor expansion of x in y
0.344 * [backup-simplify]: Simplify x into x
0.344 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.344 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.344 * [taylor]: Taking taylor expansion of 1 in y
0.344 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
0.344 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (- 0) into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
0.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.347 * [backup-simplify]: Simplify (- 0) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in y
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (- 0) into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [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
0.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.350 * [backup-simplify]: Simplify (- 0) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [taylor]: Taking taylor expansion of 0 in y
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.351 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 0) into 0
0.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (- 0) into 0
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [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
0.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.356 * [backup-simplify]: Simplify (- 0) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [taylor]: Taking taylor expansion of 0 in y
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y))
0.357 * * * [progress]: simplifying candidates
0.357 * * * * [progress]: [ 1 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ 1 (exp x))) (* y x)))>
0.357 * * * * [progress]: [ 2 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log1p (expm1 (log1p (exp x)))) (* y x)))>
0.357 * * * * [progress]: [ 3 / 40 ] simplifiying candidate #<alt (λ (x y) (- (expm1 (log1p (log1p (exp x)))) (* y x)))>
0.357 * * * * [progress]: [ 4 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log1p (exp x)) (* y x)))>
0.357 * * * * [progress]: [ 5 / 40 ] simplifiying candidate #<alt (λ (x y) (- (pow (log1p (exp x)) 1) (* y x)))>
0.357 * * * * [progress]: [ 6 / 40 ] simplifiying candidate #<alt (λ (x y) (- (exp (log (log1p (exp x)))) (* y x)))>
0.357 * * * * [progress]: [ 7 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (exp (log1p (exp x)))) (* y x)))>
0.357 * * * * [progress]: [ 8 / 40 ] simplifiying candidate #<alt (λ (x y) (- (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))>
0.357 * * * * [progress]: [ 9 / 40 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))) (* y x)))>
0.357 * * * * [progress]: [ 10 / 40 ] simplifiying candidate #<alt (λ (x y) (- (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* y x)))>
0.357 * * * * [progress]: [ 11 / 40 ] simplifiying candidate #<alt (λ (x y) (- (* 1 (log1p (exp x))) (* y x)))>
0.357 * * * * [progress]: [ 12 / 40 ] simplifiying candidate #<alt (λ (x y) (- (posit16->real (real->posit16 (log1p (exp x)))) (* y x)))>
0.357 * * * * [progress]: [ 13 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* x y))) (fma (- x) y (* x y))))>
0.357 * * * * [progress]: [ 14 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* x y))) (fma (- x) y (* x y))))>
0.357 * * * * [progress]: [ 15 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (fma 1 (log1p (exp x)) (- (* x y))) (fma (- x) y (* x y))))>
0.357 * * * * [progress]: [ 16 / 40 ] simplifiying candidate #<alt (λ (x y) (log1p (expm1 (- (log1p (exp x)) (* y x)))))>
0.357 * * * * [progress]: [ 17 / 40 ] simplifiying candidate #<alt (λ (x y) (expm1 (log1p (- (log1p (exp x)) (* y x)))))>
0.357 * * * * [progress]: [ 18 / 40 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
0.357 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #<alt (λ (x y) (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x))))>
0.357 * * * * [progress]: [ 20 / 40 ] simplifiying candidate #<alt (λ (x y) (fma 1 (log1p (exp x)) (- (* y x))))>
0.357 * * * * [progress]: [ 21 / 40 ] simplifiying candidate #<alt (λ (x y) (log (/ (+ 1 (exp x)) (exp (* y x)))))>
0.358 * * * * [progress]: [ 22 / 40 ] simplifiying candidate #<alt (λ (x y) (log (/ (exp (log1p (exp x))) (exp (* y x)))))>
0.358 * * * * [progress]: [ 23 / 40 ] simplifiying candidate #<alt (λ (x y) (pow (- (log1p (exp x)) (* y x)) 1))>
0.358 * * * * [progress]: [ 24 / 40 ] simplifiying candidate #<alt (λ (x y) (exp (log (- (log1p (exp x)) (* y x)))))>
0.358 * * * * [progress]: [ 25 / 40 ] simplifiying candidate #<alt (λ (x y) (log (exp (- (log1p (exp x)) (* y x)))))>
0.358 * * * * [progress]: [ 26 / 40 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) (cbrt (- (log1p (exp x)) (* y x)))))>
0.358 * * * * [progress]: [ 27 / 40 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))))>
0.358 * * * * [progress]: [ 28 / 40 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x)))))>
0.358 * * * * [progress]: [ 29 / 40 ] simplifiying candidate #<alt (λ (x y) (/ (- (pow (log1p (exp x)) 3) (pow (* y x) 3)) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
0.358 * * * * [progress]: [ 30 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (log1p (exp x)) (- (* y x))))>
0.358 * * * * [progress]: [ 31 / 40 ] simplifiying candidate #<alt (λ (x y) (* 1 (- (log1p (exp x)) (* y x))))>
0.358 * * * * [progress]: [ 32 / 40 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x))))>
0.358 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (log1p (exp x)) (- (* y x))))>
0.358 * * * * [progress]: [ 34 / 40 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (- (log1p (exp x)) (* y x)))))>
0.358 * * * * [progress]: [ 35 / 40 ] simplifiying candidate #<alt (λ (x y) (- (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (* y x)))>
0.358 * * * * [progress]: [ 36 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* y x)))>
0.358 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* y x)))>
0.358 * * * * [progress]: [ 38 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))>
0.358 * * * * [progress]: [ 39 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
0.358 * * * * [progress]: [ 40 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
0.358 * [simplify]: Simplifying:
  (+ 1 (exp x))
  (expm1 (log1p (exp x)))
  (log1p (log1p (exp x)))
  (log (log1p (exp x)))
  (exp (log1p (exp x)))
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (cbrt (log1p (exp x)))
  (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))
  (sqrt (log1p (exp x)))
  (sqrt (log1p (exp x)))
  (real->posit16 (log1p (exp x)))
  (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* x y)))
  (fma (- x) y (* x y))
  (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* x y)))
  (fma (- x) y (* x y))
  (fma 1 (log1p (exp x)) (- (* x y)))
  (fma (- x) y (* x y))
  (expm1 (- (log1p (exp x)) (* y x)))
  (log1p (- (log1p (exp x)) (* y x)))
  (- (* y x))
  (- (* y x))
  (- (* y x))
  (/ (+ 1 (exp x)) (exp (* y x)))
  (/ (exp (log1p (exp x))) (exp (* y x)))
  (log (- (log1p (exp x)) (* y x)))
  (exp (- (log1p (exp x)) (* y x)))
  (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))
  (cbrt (- (log1p (exp x)) (* y x)))
  (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))
  (sqrt (- (log1p (exp x)) (* y x)))
  (sqrt (- (log1p (exp x)) (* y x)))
  (- (pow (log1p (exp x)) 3) (pow (* y x) 3))
  (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))
  (- (* y x))
  (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))
  (+ (log1p (exp x)) (* y x))
  (- (* y x))
  (real->posit16 (- (log1p (exp x)) (* y x)))
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (log (+ (exp x) 1))
  (log (+ (exp x) 1))
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (- (log (+ (exp x) 1)) (* x y))
  (- (log (+ (exp x) 1)) (* x y))
0.359 * * [simplify]: iteration 1: (61 enodes)
0.378 * * [simplify]: iteration 2: (128 enodes)
0.424 * * [simplify]: iteration 3: (316 enodes)
0.554 * * [simplify]: iteration 4: (945 enodes)
1.969 * * [simplify]: Extracting #0: cost 29 inf + 0
1.970 * * [simplify]: Extracting #1: cost 174 inf + 0
1.972 * * [simplify]: Extracting #2: cost 301 inf + 2804
1.979 * * [simplify]: Extracting #3: cost 208 inf + 30707
1.992 * * [simplify]: Extracting #4: cost 82 inf + 74354
2.016 * * [simplify]: Extracting #5: cost 10 inf + 107375
2.048 * * [simplify]: Extracting #6: cost 0 inf + 111432
2.082 * [simplify]: Simplified to:
  (+ (exp x) 1)
  (exp x)
  (log1p (log1p (exp x)))
  (log (log1p (exp x)))
  (+ (exp x) 1)
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (cbrt (log1p (exp x)))
  (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))
  (sqrt (log1p (exp x)))
  (sqrt (log1p (exp x)))
  (real->posit16 (log1p (exp x)))
  (- (log1p (exp x)) (* y x))
  (* (- x x) y)
  (- (log1p (exp x)) (* y x))
  (* (- x x) y)
  (- (log1p (exp x)) (* y x))
  (* (- x x) y)
  (expm1 (- (log1p (exp x)) (* y x)))
  (log1p (- (log1p (exp x)) (* y x)))
  (- (* y x))
  (- (* y x))
  (- (* y x))
  (/ (+ (exp x) 1) (exp (* y x)))
  (/ (+ (exp x) 1) (exp (* y x)))
  (log (- (log1p (exp x)) (* y x)))
  (/ (+ (exp x) 1) (exp (* y x)))
  (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))
  (cbrt (- (log1p (exp x)) (* y x)))
  (* (- (log1p (exp x)) (* y x)) (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))))
  (sqrt (- (log1p (exp x)) (* y x)))
  (sqrt (- (log1p (exp x)) (* y x)))
  (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))
  (fma (log1p (exp x)) (log1p (exp x)) (* y (* (fma y x (log1p (exp x))) x)))
  (- (* y x))
  (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))
  (fma y x (log1p (exp x)))
  (- (* y x))
  (real->posit16 (- (log1p (exp x)) (* y x)))
  (fma x (fma x 1/8 1/2) (log 2))
  (log1p (exp x))
  (log1p (exp x))
  (fma x (fma x 1/8 1/2) (log 2))
  (- (log1p (exp x)) (* y x))
  (- (log1p (exp x)) (* y x))
2.083 * * * [progress]: adding candidates to table
2.416 * * [progress]: iteration 2 / 4
2.416 * * * [progress]: picking best candidate
2.425 * * * * [pick]: Picked  #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
2.425 * * * [progress]: localizing error
2.476 * * * [progress]: generating rewritten candidates
2.476 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
2.820 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
2.826 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
2.832 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1)
2.833 * * * [progress]: generating series expansions
2.833 * * * * [progress]: [ 1 / 4 ] generating series at (2)
2.834 * [backup-simplify]: Simplify (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) into (/ (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))))
2.834 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in (x y) around 0
2.834 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in y
2.834 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) in y
2.834 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 3) in y
2.834 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
2.834 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.834 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
2.834 * [taylor]: Taking taylor expansion of 1 in y
2.834 * [backup-simplify]: Simplify 1 into 1
2.834 * [taylor]: Taking taylor expansion of (exp x) in y
2.834 * [taylor]: Taking taylor expansion of x in y
2.834 * [backup-simplify]: Simplify x into x
2.834 * [backup-simplify]: Simplify (exp x) into (exp x)
2.834 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
2.834 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
2.834 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y
2.834 * [taylor]: Taking taylor expansion of (pow x 3) in y
2.834 * [taylor]: Taking taylor expansion of x in y
2.834 * [backup-simplify]: Simplify x into x
2.834 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.834 * [taylor]: Taking taylor expansion of y in y
2.834 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify 1 into 1
2.834 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in y
2.834 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
2.834 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
2.834 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.834 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
2.834 * [taylor]: Taking taylor expansion of 1 in y
2.834 * [backup-simplify]: Simplify 1 into 1
2.835 * [taylor]: Taking taylor expansion of (exp x) in y
2.835 * [taylor]: Taking taylor expansion of x in y
2.835 * [backup-simplify]: Simplify x into x
2.835 * [backup-simplify]: Simplify (exp x) into (exp x)
2.835 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
2.835 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
2.835 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in y
2.835 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
2.835 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.835 * [taylor]: Taking taylor expansion of x in y
2.835 * [backup-simplify]: Simplify x into x
2.835 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.835 * [taylor]: Taking taylor expansion of y in y
2.835 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify 1 into 1
2.835 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in y
2.835 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
2.835 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.835 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
2.835 * [taylor]: Taking taylor expansion of 1 in y
2.835 * [backup-simplify]: Simplify 1 into 1
2.835 * [taylor]: Taking taylor expansion of (exp x) in y
2.835 * [taylor]: Taking taylor expansion of x in y
2.835 * [backup-simplify]: Simplify x into x
2.835 * [backup-simplify]: Simplify (exp x) into (exp x)
2.835 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
2.835 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
2.835 * [taylor]: Taking taylor expansion of (* x y) in y
2.835 * [taylor]: Taking taylor expansion of x in y
2.835 * [backup-simplify]: Simplify x into x
2.835 * [taylor]: Taking taylor expansion of y in y
2.835 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify 1 into 1
2.835 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
2.835 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (pow (log (+ (exp x) 1)) 2)) into (pow (log (+ (exp x) 1)) 3)
2.835 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 3) 0) into (pow (log (+ (exp x) 1)) 3)
2.836 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
2.836 * [backup-simplify]: Simplify (* x 0) into 0
2.836 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) 0) into 0
2.836 * [backup-simplify]: Simplify (+ 0 0) into 0
2.836 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2)
2.838 * [backup-simplify]: Simplify (/ (pow (log (+ (exp x) 1)) 3) (pow (log (+ (exp x) 1)) 2)) into (log (+ (exp x) 1))
2.838 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
2.838 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) in x
2.838 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 3) in x
2.838 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.838 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.838 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.838 * [taylor]: Taking taylor expansion of 1 in x
2.838 * [backup-simplify]: Simplify 1 into 1
2.838 * [taylor]: Taking taylor expansion of (exp x) in x
2.838 * [taylor]: Taking taylor expansion of x in x
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 1 into 1
2.838 * [backup-simplify]: Simplify (exp 0) into 1
2.838 * [backup-simplify]: Simplify (+ 1 1) into 2
2.839 * [backup-simplify]: Simplify (log 2) into (log 2)
2.839 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
2.839 * [taylor]: Taking taylor expansion of (pow x 3) in x
2.839 * [taylor]: Taking taylor expansion of x in x
2.839 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify 1 into 1
2.839 * [taylor]: Taking taylor expansion of (pow y 3) in x
2.839 * [taylor]: Taking taylor expansion of y in x
2.839 * [backup-simplify]: Simplify y into y
2.839 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
2.839 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
2.839 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.839 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.839 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.839 * [taylor]: Taking taylor expansion of 1 in x
2.839 * [backup-simplify]: Simplify 1 into 1
2.839 * [taylor]: Taking taylor expansion of (exp x) in x
2.839 * [taylor]: Taking taylor expansion of x in x
2.839 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify 1 into 1
2.839 * [backup-simplify]: Simplify (exp 0) into 1
2.839 * [backup-simplify]: Simplify (+ 1 1) into 2
2.840 * [backup-simplify]: Simplify (log 2) into (log 2)
2.840 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
2.840 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.840 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.840 * [taylor]: Taking taylor expansion of x in x
2.840 * [backup-simplify]: Simplify 0 into 0
2.840 * [backup-simplify]: Simplify 1 into 1
2.840 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.840 * [taylor]: Taking taylor expansion of y in x
2.840 * [backup-simplify]: Simplify y into y
2.840 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
2.840 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.840 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.840 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.840 * [taylor]: Taking taylor expansion of 1 in x
2.840 * [backup-simplify]: Simplify 1 into 1
2.840 * [taylor]: Taking taylor expansion of (exp x) in x
2.840 * [taylor]: Taking taylor expansion of x in x
2.840 * [backup-simplify]: Simplify 0 into 0
2.840 * [backup-simplify]: Simplify 1 into 1
2.840 * [backup-simplify]: Simplify (exp 0) into 1
2.841 * [backup-simplify]: Simplify (+ 1 1) into 2
2.841 * [backup-simplify]: Simplify (log 2) into (log 2)
2.841 * [taylor]: Taking taylor expansion of (* x y) in x
2.841 * [taylor]: Taking taylor expansion of x in x
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify 1 into 1
2.841 * [taylor]: Taking taylor expansion of y in x
2.841 * [backup-simplify]: Simplify y into y
2.842 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
2.844 * [backup-simplify]: Simplify (* (log 2) (pow (log 2) 2)) into (pow (log 2) 3)
2.846 * [backup-simplify]: Simplify (+ (pow (log 2) 3) 0) into (pow (log 2) 3)
2.847 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
2.847 * [backup-simplify]: Simplify (* 0 y) into 0
2.848 * [backup-simplify]: Simplify (* (log 2) 0) into 0
2.848 * [backup-simplify]: Simplify (+ 0 0) into 0
2.850 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
2.852 * [backup-simplify]: Simplify (/ (pow (log 2) 3) (pow (log 2) 2)) into (log 2)
2.852 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
2.852 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) in x
2.852 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 3) in x
2.852 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.852 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.852 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.852 * [taylor]: Taking taylor expansion of 1 in x
2.852 * [backup-simplify]: Simplify 1 into 1
2.852 * [taylor]: Taking taylor expansion of (exp x) in x
2.852 * [taylor]: Taking taylor expansion of x in x
2.852 * [backup-simplify]: Simplify 0 into 0
2.852 * [backup-simplify]: Simplify 1 into 1
2.852 * [backup-simplify]: Simplify (exp 0) into 1
2.853 * [backup-simplify]: Simplify (+ 1 1) into 2
2.853 * [backup-simplify]: Simplify (log 2) into (log 2)
2.853 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
2.853 * [taylor]: Taking taylor expansion of (pow x 3) in x
2.853 * [taylor]: Taking taylor expansion of x in x
2.853 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify 1 into 1
2.853 * [taylor]: Taking taylor expansion of (pow y 3) in x
2.853 * [taylor]: Taking taylor expansion of y in x
2.854 * [backup-simplify]: Simplify y into y
2.854 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
2.854 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
2.854 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.854 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.854 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.854 * [taylor]: Taking taylor expansion of 1 in x
2.854 * [backup-simplify]: Simplify 1 into 1
2.854 * [taylor]: Taking taylor expansion of (exp x) in x
2.854 * [taylor]: Taking taylor expansion of x in x
2.854 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify 1 into 1
2.854 * [backup-simplify]: Simplify (exp 0) into 1
2.854 * [backup-simplify]: Simplify (+ 1 1) into 2
2.855 * [backup-simplify]: Simplify (log 2) into (log 2)
2.855 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
2.855 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.855 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.855 * [taylor]: Taking taylor expansion of x in x
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify 1 into 1
2.855 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.855 * [taylor]: Taking taylor expansion of y in x
2.855 * [backup-simplify]: Simplify y into y
2.855 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
2.855 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.855 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.855 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.855 * [taylor]: Taking taylor expansion of 1 in x
2.855 * [backup-simplify]: Simplify 1 into 1
2.855 * [taylor]: Taking taylor expansion of (exp x) in x
2.855 * [taylor]: Taking taylor expansion of x in x
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify 1 into 1
2.855 * [backup-simplify]: Simplify (exp 0) into 1
2.856 * [backup-simplify]: Simplify (+ 1 1) into 2
2.856 * [backup-simplify]: Simplify (log 2) into (log 2)
2.856 * [taylor]: Taking taylor expansion of (* x y) in x
2.856 * [taylor]: Taking taylor expansion of x in x
2.856 * [backup-simplify]: Simplify 0 into 0
2.856 * [backup-simplify]: Simplify 1 into 1
2.856 * [taylor]: Taking taylor expansion of y in x
2.856 * [backup-simplify]: Simplify y into y
2.857 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
2.859 * [backup-simplify]: Simplify (* (log 2) (pow (log 2) 2)) into (pow (log 2) 3)
2.861 * [backup-simplify]: Simplify (+ (pow (log 2) 3) 0) into (pow (log 2) 3)
2.862 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
2.862 * [backup-simplify]: Simplify (* 0 y) into 0
2.862 * [backup-simplify]: Simplify (* (log 2) 0) into 0
2.863 * [backup-simplify]: Simplify (+ 0 0) into 0
2.864 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
2.866 * [backup-simplify]: Simplify (/ (pow (log 2) 3) (pow (log 2) 2)) into (log 2)
2.866 * [taylor]: Taking taylor expansion of (log 2) in y
2.866 * [taylor]: Taking taylor expansion of 2 in y
2.866 * [backup-simplify]: Simplify 2 into 2
2.867 * [backup-simplify]: Simplify (log 2) into (log 2)
2.867 * [backup-simplify]: Simplify (log 2) into (log 2)
2.868 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.868 * [backup-simplify]: Simplify (+ 0 1) into 1
2.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
2.870 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
2.872 * [backup-simplify]: Simplify (+ (* (log 2) (log 2)) (* 1/2 (pow (log 2) 2))) into (* 3/2 (pow (log 2) 2))
2.874 * [backup-simplify]: Simplify (+ (* 3/2 (pow (log 2) 2)) 0) into (* 3/2 (pow (log 2) 2))
2.874 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.875 * [backup-simplify]: Simplify (+ 0 1) into 1
2.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
2.877 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
2.877 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.878 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.879 * [backup-simplify]: Simplify (+ 0 1) into 1
2.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
2.880 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
2.880 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
2.881 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
2.884 * [backup-simplify]: Simplify (- (/ (* 3/2 (pow (log 2) 2)) (pow (log 2) 2)) (+ (* (log 2) (/ (+ (log 2) (* (log 2) y)) (pow (log 2) 2))))) into (- 1/2 y)
2.884 * [taylor]: Taking taylor expansion of (- 1/2 y) in y
2.884 * [taylor]: Taking taylor expansion of 1/2 in y
2.884 * [backup-simplify]: Simplify 1/2 into 1/2
2.884 * [taylor]: Taking taylor expansion of y in y
2.884 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify 1 into 1
2.884 * [backup-simplify]: Simplify (- 0) into 0
2.884 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.885 * [backup-simplify]: Simplify 1/2 into 1/2
2.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
2.885 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.887 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
2.888 * [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
2.891 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
2.895 * [backup-simplify]: Simplify (+ (* (log 2) (+ (* 1/4 (log 2)) 1/4)) (+ (* 1/2 (log 2)) (* 1/8 (pow (log 2) 2)))) into (+ (* 3/4 (log 2)) (* 3/8 (pow (log 2) 2)))
2.898 * [backup-simplify]: Simplify (+ (+ (* 3/4 (log 2)) (* 3/8 (pow (log 2) 2))) 0) into (+ (* 3/4 (log 2)) (* 3/8 (pow (log 2) 2)))
2.899 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.900 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
2.901 * [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
2.904 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
2.904 * [backup-simplify]: Simplify (* 1 1) into 1
2.904 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.904 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.906 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.906 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
2.908 * [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
2.909 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 1/2 y) (* 1/8 0))) into (* 1/2 y)
2.909 * [backup-simplify]: Simplify (+ (pow y 2) (* 1/2 y)) into (+ (pow y 2) (* 1/2 y))
2.910 * [backup-simplify]: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (+ (pow y 2) (* 1/2 y))) into (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4)))
2.916 * [backup-simplify]: Simplify (- (/ (+ (* 3/4 (log 2)) (* 3/8 (pow (log 2) 2))) (pow (log 2) 2)) (+ (* (log 2) (/ (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4))) (pow (log 2) 2))) (* (- 1/2 y) (/ (+ (log 2) (* (log 2) y)) (pow (log 2) 2))))) into 1/8
2.916 * [taylor]: Taking taylor expansion of 1/8 in y
2.916 * [backup-simplify]: Simplify 1/8 into 1/8
2.916 * [backup-simplify]: Simplify 1/8 into 1/8
2.917 * [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))))
2.918 * [backup-simplify]: Simplify (/ (- (* (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (log1p (exp (/ 1 x)))) (* (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (/ 1 y) (/ 1 x)))) (+ (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (+ (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) into (/ (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))))
2.918 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in (x y) around 0
2.918 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in y
2.918 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in y
2.918 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 3) in y
2.918 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
2.918 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.918 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
2.918 * [taylor]: Taking taylor expansion of 1 in y
2.918 * [backup-simplify]: Simplify 1 into 1
2.918 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
2.918 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.918 * [taylor]: Taking taylor expansion of x in y
2.918 * [backup-simplify]: Simplify x into x
2.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.918 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.919 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.919 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.919 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y
2.919 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y
2.919 * [taylor]: Taking taylor expansion of (pow x 3) in y
2.919 * [taylor]: Taking taylor expansion of x in y
2.919 * [backup-simplify]: Simplify x into x
2.919 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.919 * [taylor]: Taking taylor expansion of y in y
2.919 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify 1 into 1
2.919 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.919 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
2.919 * [backup-simplify]: Simplify (* 1 1) into 1
2.919 * [backup-simplify]: Simplify (* 1 1) into 1
2.920 * [backup-simplify]: Simplify (* (pow x 3) 1) into (pow x 3)
2.920 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3))
2.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in y
2.920 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
2.920 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
2.920 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.920 * [taylor]: Taking taylor expansion of x in y
2.920 * [backup-simplify]: Simplify x into x
2.920 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.920 * [taylor]: Taking taylor expansion of y in y
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify 1 into 1
2.920 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.920 * [backup-simplify]: Simplify (* 1 1) into 1
2.920 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
2.920 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.920 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in y
2.920 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in y
2.920 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
2.920 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.920 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
2.920 * [taylor]: Taking taylor expansion of 1 in y
2.920 * [backup-simplify]: Simplify 1 into 1
2.920 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
2.920 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.920 * [taylor]: Taking taylor expansion of x in y
2.920 * [backup-simplify]: Simplify x into x
2.920 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.921 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.921 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.921 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.921 * [taylor]: Taking taylor expansion of (* x y) in y
2.921 * [taylor]: Taking taylor expansion of x in y
2.921 * [backup-simplify]: Simplify x into x
2.921 * [taylor]: Taking taylor expansion of y in y
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify 1 into 1
2.921 * [backup-simplify]: Simplify (* x 0) into 0
2.921 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.921 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) x) into (/ (log (+ (exp (/ 1 x)) 1)) x)
2.921 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
2.921 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
2.921 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.921 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
2.921 * [taylor]: Taking taylor expansion of 1 in y
2.921 * [backup-simplify]: Simplify 1 into 1
2.921 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
2.921 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.921 * [taylor]: Taking taylor expansion of x in y
2.921 * [backup-simplify]: Simplify x into x
2.921 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.921 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.922 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.922 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.922 * [backup-simplify]: Simplify (- (/ 1 (pow x 3))) into (- (/ 1 (pow x 3)))
2.922 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 3)))) into (- (/ 1 (pow x 3)))
2.922 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
2.922 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 3))) (/ 1 (pow x 2))) into (/ -1 x)
2.922 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
2.922 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
2.922 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 3) in x
2.922 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.922 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.922 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.922 * [taylor]: Taking taylor expansion of 1 in x
2.922 * [backup-simplify]: Simplify 1 into 1
2.922 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.922 * [taylor]: Taking taylor expansion of x in x
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify 1 into 1
2.923 * [backup-simplify]: Simplify (/ 1 1) into 1
2.923 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.923 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.923 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.923 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
2.923 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
2.923 * [taylor]: Taking taylor expansion of (pow x 3) in x
2.923 * [taylor]: Taking taylor expansion of x in x
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify 1 into 1
2.923 * [taylor]: Taking taylor expansion of (pow y 3) in x
2.923 * [taylor]: Taking taylor expansion of y in x
2.923 * [backup-simplify]: Simplify y into y
2.923 * [backup-simplify]: Simplify (* 1 1) into 1
2.923 * [backup-simplify]: Simplify (* 1 1) into 1
2.923 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.924 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
2.924 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
2.924 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
2.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
2.924 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.924 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.924 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.924 * [taylor]: Taking taylor expansion of x in x
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 1 into 1
2.924 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.924 * [taylor]: Taking taylor expansion of y in x
2.924 * [backup-simplify]: Simplify y into y
2.924 * [backup-simplify]: Simplify (* 1 1) into 1
2.924 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.924 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.924 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.924 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
2.924 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
2.924 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.924 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.924 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.924 * [taylor]: Taking taylor expansion of 1 in x
2.924 * [backup-simplify]: Simplify 1 into 1
2.924 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.924 * [taylor]: Taking taylor expansion of x in x
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 1 into 1
2.925 * [backup-simplify]: Simplify (/ 1 1) into 1
2.925 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.925 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.925 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.925 * [taylor]: Taking taylor expansion of (* x y) in x
2.925 * [taylor]: Taking taylor expansion of x in x
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 1 into 1
2.925 * [taylor]: Taking taylor expansion of y in x
2.925 * [backup-simplify]: Simplify y into y
2.925 * [backup-simplify]: Simplify (* 0 y) into 0
2.925 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.925 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
2.925 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
2.925 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.925 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.925 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.925 * [taylor]: Taking taylor expansion of 1 in x
2.925 * [backup-simplify]: Simplify 1 into 1
2.926 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.926 * [taylor]: Taking taylor expansion of x in x
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [backup-simplify]: Simplify (/ 1 1) into 1
2.926 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.926 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.926 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.926 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
2.926 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
2.926 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
2.926 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
2.926 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
2.926 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 3) in x
2.926 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.926 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.926 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.926 * [taylor]: Taking taylor expansion of 1 in x
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.926 * [taylor]: Taking taylor expansion of x in x
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [backup-simplify]: Simplify (/ 1 1) into 1
2.927 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.927 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.927 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.927 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
2.927 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
2.927 * [taylor]: Taking taylor expansion of (pow x 3) in x
2.927 * [taylor]: Taking taylor expansion of x in x
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [taylor]: Taking taylor expansion of (pow y 3) in x
2.927 * [taylor]: Taking taylor expansion of y in x
2.927 * [backup-simplify]: Simplify y into y
2.927 * [backup-simplify]: Simplify (* 1 1) into 1
2.928 * [backup-simplify]: Simplify (* 1 1) into 1
2.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.928 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
2.928 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
2.928 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
2.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
2.928 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.928 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.928 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.928 * [taylor]: Taking taylor expansion of x in x
2.928 * [backup-simplify]: Simplify 0 into 0
2.928 * [backup-simplify]: Simplify 1 into 1
2.928 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.928 * [taylor]: Taking taylor expansion of y in x
2.928 * [backup-simplify]: Simplify y into y
2.928 * [backup-simplify]: Simplify (* 1 1) into 1
2.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.929 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.929 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.929 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
2.929 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
2.929 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.929 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.929 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.929 * [taylor]: Taking taylor expansion of 1 in x
2.929 * [backup-simplify]: Simplify 1 into 1
2.929 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.929 * [taylor]: Taking taylor expansion of x in x
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify 1 into 1
2.929 * [backup-simplify]: Simplify (/ 1 1) into 1
2.929 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.929 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.929 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.929 * [taylor]: Taking taylor expansion of (* x y) in x
2.929 * [taylor]: Taking taylor expansion of x in x
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify 1 into 1
2.929 * [taylor]: Taking taylor expansion of y in x
2.929 * [backup-simplify]: Simplify y into y
2.929 * [backup-simplify]: Simplify (* 0 y) into 0
2.930 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.930 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
2.930 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
2.930 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.930 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.930 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.930 * [taylor]: Taking taylor expansion of 1 in x
2.930 * [backup-simplify]: Simplify 1 into 1
2.930 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.930 * [taylor]: Taking taylor expansion of x in x
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify 1 into 1
2.930 * [backup-simplify]: Simplify (/ 1 1) into 1
2.930 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.930 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.930 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.930 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
2.930 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
2.930 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.931 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
2.931 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.931 * [taylor]: Taking taylor expansion of -1 in y
2.931 * [backup-simplify]: Simplify -1 into -1
2.931 * [taylor]: Taking taylor expansion of y in y
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 1 into 1
2.931 * [backup-simplify]: Simplify (/ -1 1) into -1
2.931 * [backup-simplify]: Simplify -1 into -1
2.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0
2.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 3))) into 0
2.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))))) into 0
2.933 * [backup-simplify]: Simplify (- 0) into 0
2.933 * [backup-simplify]: Simplify (+ 0 0) into 0
2.933 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.934 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
2.934 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
2.934 * [backup-simplify]: Simplify (- (/ 0 (/ 1 (pow y 2))) (+ (* (/ -1 y) (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 1 (pow y 2)))))) into (log (+ (exp (/ 1 x)) 1))
2.934 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
2.934 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
2.934 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
2.934 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.934 * [taylor]: Taking taylor expansion of x in y
2.934 * [backup-simplify]: Simplify x into x
2.934 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.934 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.934 * [taylor]: Taking taylor expansion of 1 in y
2.934 * [backup-simplify]: Simplify 1 into 1
2.934 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
2.934 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.935 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.936 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
2.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 3)))) into 0
2.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
2.939 * [backup-simplify]: Simplify (- 0) into 0
2.939 * [backup-simplify]: Simplify (+ 0 0) into 0
2.940 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
2.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.941 * [backup-simplify]: Simplify (+ 0 0) into 0
2.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
2.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.942 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)))) into 0
2.942 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
2.943 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
2.943 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
2.943 * [backup-simplify]: Simplify (- (/ 0 (/ 1 (pow y 2))) (+ (* (/ -1 y) (/ (pow (log (+ (exp (/ 1 x)) 1)) 2) (/ 1 (pow y 2)))) (* (log (+ (exp (/ 1 x)) 1)) (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 1 (pow y 2)))))) into 0
2.943 * [taylor]: Taking taylor expansion of 0 in y
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.944 * [backup-simplify]: Simplify 0 into 0
2.945 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
2.945 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 3)
2.946 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.946 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
2.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3))))) into 0
2.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
2.950 * [backup-simplify]: Simplify (- 0) into 0
2.951 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ 1 x)) 1)) 3) 0) into (pow (log (+ (exp (/ 1 x)) 1)) 3)
2.951 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.955 * [backup-simplify]: Simplify (+ 0 0) into 0
2.956 * [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
2.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
2.958 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.958 * [backup-simplify]: Simplify (+ 0 0) into 0
2.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
2.959 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
2.960 * [backup-simplify]: Simplify (+ 0 0) into 0
2.960 * [backup-simplify]: Simplify (+ 0 0) into 0
2.961 * [backup-simplify]: Simplify (- (/ (pow (log (+ (exp (/ 1 x)) 1)) 3) (/ 1 (pow y 2))) (+ (* (/ -1 y) (/ 0 (/ 1 (pow y 2)))) (* (log (+ (exp (/ 1 x)) 1)) (/ (pow (log (+ (exp (/ 1 x)) 1)) 2) (/ 1 (pow y 2)))) (* 0 (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 1 (pow y 2)))))) into 0
2.961 * [taylor]: Taking taylor expansion of 0 in y
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.962 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
2.963 * [backup-simplify]: Simplify (+ 0 0) into 0
2.964 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
2.964 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify (+ 0 0) into 0
2.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
2.966 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
2.967 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into 0
2.968 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.969 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
2.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3)))))) into 0
2.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
2.974 * [backup-simplify]: Simplify (- 0) into 0
2.974 * [backup-simplify]: Simplify (+ 0 0) into 0
2.975 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
2.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.979 * [backup-simplify]: Simplify (+ 0 0) into 0
2.982 * [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
2.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.984 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.984 * [backup-simplify]: Simplify (+ 0 0) into 0
2.986 * [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
2.987 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
2.987 * [backup-simplify]: Simplify (+ 0 0) into 0
2.987 * [backup-simplify]: Simplify (+ 0 0) into 0
2.988 * [backup-simplify]: Simplify (- (/ 0 (/ 1 (pow y 2))) (+ (* (/ -1 y) (/ 0 (/ 1 (pow y 2)))) (* (log (+ (exp (/ 1 x)) 1)) (/ 0 (/ 1 (pow y 2)))) (* 0 (/ (pow (log (+ (exp (/ 1 x)) 1)) 2) (/ 1 (pow y 2)))) (* 0 (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 1 (pow y 2)))))) into 0
2.988 * [taylor]: Taking taylor expansion of 0 in y
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y))
2.989 * [backup-simplify]: Simplify (/ (- (* (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (log1p (exp (/ 1 (- x))))) (* (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) (+ (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (+ (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) into (/ (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))))
2.989 * [approximate]: Taking taylor expansion of (/ (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in (x y) around 0
2.989 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in y
2.989 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in y
2.989 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 3) in y
2.989 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
2.989 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.989 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
2.989 * [taylor]: Taking taylor expansion of 1 in y
2.989 * [backup-simplify]: Simplify 1 into 1
2.989 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
2.989 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.989 * [taylor]: Taking taylor expansion of -1 in y
2.989 * [backup-simplify]: Simplify -1 into -1
2.989 * [taylor]: Taking taylor expansion of x in y
2.989 * [backup-simplify]: Simplify x into x
2.989 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.989 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.989 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.989 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.989 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y
2.989 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y
2.989 * [taylor]: Taking taylor expansion of (pow x 3) in y
2.989 * [taylor]: Taking taylor expansion of x in y
2.989 * [backup-simplify]: Simplify x into x
2.989 * [taylor]: Taking taylor expansion of (pow y 3) in y
2.989 * [taylor]: Taking taylor expansion of y in y
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify 1 into 1
2.989 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.989 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
2.990 * [backup-simplify]: Simplify (* 1 1) into 1
2.990 * [backup-simplify]: Simplify (* 1 1) into 1
2.990 * [backup-simplify]: Simplify (* (pow x 3) 1) into (pow x 3)
2.990 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3))
2.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in y
2.990 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
2.990 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
2.990 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.990 * [taylor]: Taking taylor expansion of x in y
2.990 * [backup-simplify]: Simplify x into x
2.990 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.990 * [taylor]: Taking taylor expansion of y in y
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.990 * [backup-simplify]: Simplify (* 1 1) into 1
2.991 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
2.991 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.991 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in y
2.991 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
2.991 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
2.991 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.991 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
2.991 * [taylor]: Taking taylor expansion of 1 in y
2.991 * [backup-simplify]: Simplify 1 into 1
2.991 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
2.991 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.991 * [taylor]: Taking taylor expansion of -1 in y
2.991 * [backup-simplify]: Simplify -1 into -1
2.991 * [taylor]: Taking taylor expansion of x in y
2.991 * [backup-simplify]: Simplify x into x
2.991 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.991 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.991 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.991 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.991 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in y
2.991 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
2.991 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.991 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
2.991 * [taylor]: Taking taylor expansion of 1 in y
2.991 * [backup-simplify]: Simplify 1 into 1
2.991 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
2.991 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.991 * [taylor]: Taking taylor expansion of -1 in y
2.991 * [backup-simplify]: Simplify -1 into -1
2.991 * [taylor]: Taking taylor expansion of x in y
2.991 * [backup-simplify]: Simplify x into x
2.991 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.991 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.991 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.991 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.991 * [taylor]: Taking taylor expansion of (* x y) in y
2.991 * [taylor]: Taking taylor expansion of x in y
2.991 * [backup-simplify]: Simplify x into x
2.991 * [taylor]: Taking taylor expansion of y in y
2.991 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 1 into 1
2.992 * [backup-simplify]: Simplify (* x 0) into 0
2.992 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.992 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) x) into (/ (log (+ (exp (/ -1 x)) 1)) x)
2.992 * [backup-simplify]: Simplify (- (/ 1 (pow x 3))) into (- (/ 1 (pow x 3)))
2.992 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 3)))) into (- (/ 1 (pow x 3)))
2.992 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
2.992 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 3))) (/ 1 (pow x 2))) into (/ -1 x)
2.992 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
2.992 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
2.992 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 3) in x
2.992 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.992 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.992 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
2.992 * [taylor]: Taking taylor expansion of 1 in x
2.992 * [backup-simplify]: Simplify 1 into 1
2.992 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
2.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.992 * [taylor]: Taking taylor expansion of -1 in x
2.992 * [backup-simplify]: Simplify -1 into -1
2.992 * [taylor]: Taking taylor expansion of x in x
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 1 into 1
2.993 * [backup-simplify]: Simplify (/ -1 1) into -1
2.993 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.993 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.993 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.993 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
2.993 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
2.993 * [taylor]: Taking taylor expansion of (pow x 3) in x
2.993 * [taylor]: Taking taylor expansion of x in x
2.993 * [backup-simplify]: Simplify 0 into 0
2.993 * [backup-simplify]: Simplify 1 into 1
2.993 * [taylor]: Taking taylor expansion of (pow y 3) in x
2.993 * [taylor]: Taking taylor expansion of y in x
2.993 * [backup-simplify]: Simplify y into y
2.993 * [backup-simplify]: Simplify (* 1 1) into 1
2.994 * [backup-simplify]: Simplify (* 1 1) into 1
2.994 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.994 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
2.994 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
2.994 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
2.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
2.994 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.994 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.994 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.994 * [taylor]: Taking taylor expansion of x in x
2.994 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify 1 into 1
2.994 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.994 * [taylor]: Taking taylor expansion of y in x
2.994 * [backup-simplify]: Simplify y into y
2.994 * [backup-simplify]: Simplify (* 1 1) into 1
2.994 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.994 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.994 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
2.994 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
2.994 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.994 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.994 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
2.994 * [taylor]: Taking taylor expansion of 1 in x
2.995 * [backup-simplify]: Simplify 1 into 1
2.995 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
2.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.995 * [taylor]: Taking taylor expansion of -1 in x
2.995 * [backup-simplify]: Simplify -1 into -1
2.995 * [taylor]: Taking taylor expansion of x in x
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 1 into 1
2.995 * [backup-simplify]: Simplify (/ -1 1) into -1
2.995 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.995 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.995 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.995 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
2.995 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.995 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.995 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
2.995 * [taylor]: Taking taylor expansion of 1 in x
2.995 * [backup-simplify]: Simplify 1 into 1
2.995 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
2.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.995 * [taylor]: Taking taylor expansion of -1 in x
2.995 * [backup-simplify]: Simplify -1 into -1
2.995 * [taylor]: Taking taylor expansion of x in x
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 1 into 1
2.996 * [backup-simplify]: Simplify (/ -1 1) into -1
2.996 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.996 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.996 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.996 * [taylor]: Taking taylor expansion of (* x y) in x
2.996 * [taylor]: Taking taylor expansion of x in x
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify 1 into 1
2.996 * [taylor]: Taking taylor expansion of y in x
2.996 * [backup-simplify]: Simplify y into y
2.996 * [backup-simplify]: Simplify (* 0 y) into 0
2.996 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.996 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
2.996 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
2.996 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
2.996 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.997 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
2.997 * [taylor]: Taking taylor expansion of (/ (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
2.997 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
2.997 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 3) in x
2.997 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.997 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.997 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
2.997 * [taylor]: Taking taylor expansion of 1 in x
2.997 * [backup-simplify]: Simplify 1 into 1
2.997 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
2.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.997 * [taylor]: Taking taylor expansion of -1 in x
2.997 * [backup-simplify]: Simplify -1 into -1
2.997 * [taylor]: Taking taylor expansion of x in x
2.997 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify 1 into 1
2.997 * [backup-simplify]: Simplify (/ -1 1) into -1
2.997 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.997 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.997 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.997 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
2.997 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
2.997 * [taylor]: Taking taylor expansion of (pow x 3) in x
2.997 * [taylor]: Taking taylor expansion of x in x
2.997 * [backup-simplify]: Simplify 0 into 0
2.997 * [backup-simplify]: Simplify 1 into 1
2.997 * [taylor]: Taking taylor expansion of (pow y 3) in x
2.997 * [taylor]: Taking taylor expansion of y in x
2.997 * [backup-simplify]: Simplify y into y
2.998 * [backup-simplify]: Simplify (* 1 1) into 1
2.998 * [backup-simplify]: Simplify (* 1 1) into 1
2.998 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.998 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
2.998 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
2.998 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
2.998 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.998 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.998 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.998 * [taylor]: Taking taylor expansion of x in x
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.998 * [taylor]: Taking taylor expansion of y in x
2.998 * [backup-simplify]: Simplify y into y
2.999 * [backup-simplify]: Simplify (* 1 1) into 1
2.999 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.999 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.999 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.999 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
2.999 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
2.999 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.999 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.999 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
2.999 * [taylor]: Taking taylor expansion of 1 in x
2.999 * [backup-simplify]: Simplify 1 into 1
2.999 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
2.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.999 * [taylor]: Taking taylor expansion of -1 in x
2.999 * [backup-simplify]: Simplify -1 into -1
2.999 * [taylor]: Taking taylor expansion of x in x
2.999 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify 1 into 1
2.999 * [backup-simplify]: Simplify (/ -1 1) into -1
2.999 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.999 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.999 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.999 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
2.999 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.999 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.999 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.000 * [taylor]: Taking taylor expansion of 1 in x
3.000 * [backup-simplify]: Simplify 1 into 1
3.000 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.000 * [taylor]: Taking taylor expansion of -1 in x
3.000 * [backup-simplify]: Simplify -1 into -1
3.000 * [taylor]: Taking taylor expansion of x in x
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 1 into 1
3.000 * [backup-simplify]: Simplify (/ -1 1) into -1
3.000 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.000 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.000 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.000 * [taylor]: Taking taylor expansion of (* x y) in x
3.000 * [taylor]: Taking taylor expansion of x in x
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 1 into 1
3.000 * [taylor]: Taking taylor expansion of y in x
3.000 * [backup-simplify]: Simplify y into y
3.000 * [backup-simplify]: Simplify (* 0 y) into 0
3.000 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.001 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
3.001 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
3.001 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
3.001 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.001 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
3.001 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.001 * [taylor]: Taking taylor expansion of -1 in y
3.001 * [backup-simplify]: Simplify -1 into -1
3.001 * [taylor]: Taking taylor expansion of y in y
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify 1 into 1
3.001 * [backup-simplify]: Simplify (/ -1 1) into -1
3.001 * [backup-simplify]: Simplify -1 into -1
3.001 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.001 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0
3.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 3))) into 0
3.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))))) into 0
3.003 * [backup-simplify]: Simplify (- 0) into 0
3.003 * [backup-simplify]: Simplify (+ 0 0) into 0
3.003 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
3.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.004 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
3.004 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
3.004 * [backup-simplify]: Simplify (- (/ 0 (/ 1 (pow y 2))) (+ (* (/ -1 y) (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 1 (pow y 2)))))) into (log (+ (exp (/ -1 x)) 1))
3.004 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
3.004 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
3.004 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
3.005 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.005 * [taylor]: Taking taylor expansion of -1 in y
3.005 * [backup-simplify]: Simplify -1 into -1
3.005 * [taylor]: Taking taylor expansion of x in y
3.005 * [backup-simplify]: Simplify x into x
3.005 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.005 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.005 * [taylor]: Taking taylor expansion of 1 in y
3.005 * [backup-simplify]: Simplify 1 into 1
3.005 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
3.005 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.006 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 3)))) into 0
3.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
3.008 * [backup-simplify]: Simplify (- 0) into 0
3.008 * [backup-simplify]: Simplify (+ 0 0) into 0
3.008 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.010 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.010 * [backup-simplify]: Simplify (+ 0 0) into 0
3.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.011 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)))) into 0
3.011 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.011 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.012 * [backup-simplify]: Simplify (- (/ 0 (/ 1 (pow y 2))) (+ (* (/ -1 y) (/ (pow (log (+ (exp (/ -1 x)) 1)) 2) (/ 1 (pow y 2)))) (* (log (+ (exp (/ -1 x)) 1)) (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 1 (pow y 2)))))) into 0
3.012 * [taylor]: Taking taylor expansion of 0 in y
3.012 * [backup-simplify]: Simplify 0 into 0
3.012 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.013 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.013 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 3)
3.013 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.014 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3))))) into 0
3.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
3.016 * [backup-simplify]: Simplify (- 0) into 0
3.016 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 3) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 3)
3.017 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.019 * [backup-simplify]: Simplify (+ 0 0) into 0
3.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.019 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
3.020 * [backup-simplify]: Simplify (+ 0 0) into 0
3.021 * [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
3.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
3.023 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.023 * [backup-simplify]: Simplify (+ 0 0) into 0
3.024 * [backup-simplify]: Simplify (+ 0 0) into 0
3.025 * [backup-simplify]: Simplify (- (/ (pow (log (+ (exp (/ -1 x)) 1)) 3) (/ 1 (pow y 2))) (+ (* (/ -1 y) (/ 0 (/ 1 (pow y 2)))) (* (log (+ (exp (/ -1 x)) 1)) (/ (pow (log (+ (exp (/ -1 x)) 1)) 2) (/ 1 (pow y 2)))) (* 0 (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 1 (pow y 2)))))) into 0
3.025 * [taylor]: Taking taylor expansion of 0 in y
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
3.026 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
3.026 * [backup-simplify]: Simplify (+ 0 0) into 0
3.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.027 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify (+ 0 0) into 0
3.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.031 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
3.031 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (pow (log (+ (exp (/ -1 x)) 1)) 2))) into 0
3.032 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.033 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
3.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3)))))) into 0
3.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
3.038 * [backup-simplify]: Simplify (- 0) into 0
3.039 * [backup-simplify]: Simplify (+ 0 0) into 0
3.040 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
3.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.043 * [backup-simplify]: Simplify (+ 0 0) into 0
3.046 * [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
3.046 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
3.047 * [backup-simplify]: Simplify (+ 0 0) into 0
3.050 * [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
3.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.052 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.052 * [backup-simplify]: Simplify (+ 0 0) into 0
3.052 * [backup-simplify]: Simplify (+ 0 0) into 0
3.053 * [backup-simplify]: Simplify (- (/ 0 (/ 1 (pow y 2))) (+ (* (/ -1 y) (/ 0 (/ 1 (pow y 2)))) (* (log (+ (exp (/ -1 x)) 1)) (/ 0 (/ 1 (pow y 2)))) (* 0 (/ (pow (log (+ (exp (/ -1 x)) 1)) 2) (/ 1 (pow y 2)))) (* 0 (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 1 (pow y 2)))))) into 0
3.053 * [taylor]: Taking taylor expansion of 0 in y
3.053 * [backup-simplify]: Simplify 0 into 0
3.053 * [backup-simplify]: Simplify 0 into 0
3.053 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y))
3.054 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
3.054 * [backup-simplify]: Simplify (* (log1p (exp x)) (log1p (exp x))) into (pow (log1p (exp x)) 2)
3.054 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 2) in (x) around 0
3.054 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
3.054 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.054 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.054 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.054 * [taylor]: Taking taylor expansion of 1 in x
3.054 * [backup-simplify]: Simplify 1 into 1
3.054 * [taylor]: Taking taylor expansion of (exp x) in x
3.054 * [taylor]: Taking taylor expansion of x in x
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 1 into 1
3.054 * [backup-simplify]: Simplify (exp 0) into 1
3.055 * [backup-simplify]: Simplify (+ 1 1) into 2
3.055 * [backup-simplify]: Simplify (log 2) into (log 2)
3.055 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
3.055 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.055 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.055 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.055 * [taylor]: Taking taylor expansion of 1 in x
3.055 * [backup-simplify]: Simplify 1 into 1
3.055 * [taylor]: Taking taylor expansion of (exp x) in x
3.055 * [taylor]: Taking taylor expansion of x in x
3.055 * [backup-simplify]: Simplify 0 into 0
3.055 * [backup-simplify]: Simplify 1 into 1
3.056 * [backup-simplify]: Simplify (exp 0) into 1
3.056 * [backup-simplify]: Simplify (+ 1 1) into 2
3.056 * [backup-simplify]: Simplify (log 2) into (log 2)
3.057 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
3.058 * [backup-simplify]: Simplify (pow (log 2) 2) into (pow (log 2) 2)
3.059 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
3.062 * [backup-simplify]: Simplify (+ 0 1) into 1
3.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
3.066 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
3.067 * [backup-simplify]: Simplify (log 2) into (log 2)
3.068 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
3.069 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.072 * [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
3.076 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
3.078 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4)
3.081 * [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))))
3.081 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 2)
3.081 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in (x) around 0
3.081 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
3.081 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.081 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.081 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.081 * [taylor]: Taking taylor expansion of 1 in x
3.081 * [backup-simplify]: Simplify 1 into 1
3.081 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.081 * [taylor]: Taking taylor expansion of x in x
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 1 into 1
3.082 * [backup-simplify]: Simplify (/ 1 1) into 1
3.082 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.082 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.082 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.082 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
3.082 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.082 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.082 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.082 * [taylor]: Taking taylor expansion of 1 in x
3.082 * [backup-simplify]: Simplify 1 into 1
3.082 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.082 * [taylor]: Taking taylor expansion of x in x
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 1 into 1
3.083 * [backup-simplify]: Simplify (/ 1 1) into 1
3.083 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.083 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.083 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.083 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
3.084 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 2) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
3.084 * [backup-simplify]: Simplify (+ 0 0) into 0
3.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
3.085 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
3.085 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (+ 0 0) into 0
3.088 * [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
3.088 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
3.088 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (+ 0 0) into 0
3.092 * [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
3.093 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0
3.093 * [backup-simplify]: Simplify 0 into 0
3.094 * [backup-simplify]: Simplify (+ 0 0) into 0
3.099 * [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
3.100 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0
3.100 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify (+ 0 0) into 0
3.109 * [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
3.111 * [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
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify (+ 0 0) into 0
3.124 * [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
3.126 * [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
3.126 * [backup-simplify]: Simplify 0 into 0
3.126 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
3.126 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 2)
3.127 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in (x) around 0
3.127 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
3.127 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.127 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.127 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.127 * [taylor]: Taking taylor expansion of 1 in x
3.127 * [backup-simplify]: Simplify 1 into 1
3.127 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.127 * [taylor]: Taking taylor expansion of -1 in x
3.127 * [backup-simplify]: Simplify -1 into -1
3.127 * [taylor]: Taking taylor expansion of x in x
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 1 into 1
3.127 * [backup-simplify]: Simplify (/ -1 1) into -1
3.128 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.128 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.128 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.128 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
3.128 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.128 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.128 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.128 * [taylor]: Taking taylor expansion of 1 in x
3.128 * [backup-simplify]: Simplify 1 into 1
3.128 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.128 * [taylor]: Taking taylor expansion of -1 in x
3.128 * [backup-simplify]: Simplify -1 into -1
3.128 * [taylor]: Taking taylor expansion of x in x
3.128 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify 1 into 1
3.129 * [backup-simplify]: Simplify (/ -1 1) into -1
3.129 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.129 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.129 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.129 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.129 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 2) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.130 * [backup-simplify]: Simplify (+ 0 0) into 0
3.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.131 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify (+ 0 0) into 0
3.133 * [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
3.134 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
3.134 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify (+ 0 0) into 0
3.137 * [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
3.138 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0
3.138 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify (+ 0 0) into 0
3.144 * [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
3.145 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify (+ 0 0) into 0
3.154 * [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
3.156 * [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
3.156 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify (+ 0 0) into 0
3.169 * [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
3.172 * [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
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
3.172 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
3.172 * [backup-simplify]: Simplify (* (log1p (exp x)) (log1p (exp x))) into (pow (log1p (exp x)) 2)
3.172 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 2) in (x) around 0
3.172 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
3.172 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.172 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.172 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.172 * [taylor]: Taking taylor expansion of 1 in x
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [taylor]: Taking taylor expansion of (exp x) in x
3.172 * [taylor]: Taking taylor expansion of x in x
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.173 * [backup-simplify]: Simplify (exp 0) into 1
3.173 * [backup-simplify]: Simplify (+ 1 1) into 2
3.173 * [backup-simplify]: Simplify (log 2) into (log 2)
3.173 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
3.174 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.174 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.174 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.174 * [taylor]: Taking taylor expansion of 1 in x
3.174 * [backup-simplify]: Simplify 1 into 1
3.174 * [taylor]: Taking taylor expansion of (exp x) in x
3.174 * [taylor]: Taking taylor expansion of x in x
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 1 into 1
3.174 * [backup-simplify]: Simplify (exp 0) into 1
3.174 * [backup-simplify]: Simplify (+ 1 1) into 2
3.175 * [backup-simplify]: Simplify (log 2) into (log 2)
3.176 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
3.177 * [backup-simplify]: Simplify (pow (log 2) 2) into (pow (log 2) 2)
3.178 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
3.178 * [backup-simplify]: Simplify (+ 0 1) into 1
3.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
3.182 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
3.183 * [backup-simplify]: Simplify (log 2) into (log 2)
3.184 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
3.184 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.186 * [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
3.188 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
3.189 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4)
3.191 * [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))))
3.191 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 2)
3.191 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in (x) around 0
3.191 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
3.191 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.191 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.191 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.191 * [taylor]: Taking taylor expansion of 1 in x
3.191 * [backup-simplify]: Simplify 1 into 1
3.191 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.191 * [taylor]: Taking taylor expansion of x in x
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 1 into 1
3.192 * [backup-simplify]: Simplify (/ 1 1) into 1
3.192 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.192 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.192 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.192 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
3.192 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.192 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.192 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.192 * [taylor]: Taking taylor expansion of 1 in x
3.192 * [backup-simplify]: Simplify 1 into 1
3.192 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.192 * [taylor]: Taking taylor expansion of x in x
3.192 * [backup-simplify]: Simplify 0 into 0
3.192 * [backup-simplify]: Simplify 1 into 1
3.192 * [backup-simplify]: Simplify (/ 1 1) into 1
3.192 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.192 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.192 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.192 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
3.193 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 2) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
3.193 * [backup-simplify]: Simplify (+ 0 0) into 0
3.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
3.193 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify (+ 0 0) into 0
3.195 * [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
3.195 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify (+ 0 0) into 0
3.197 * [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
3.198 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify (+ 0 0) into 0
3.204 * [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
3.205 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0
3.205 * [backup-simplify]: Simplify 0 into 0
3.206 * [backup-simplify]: Simplify (+ 0 0) into 0
3.210 * [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
3.211 * [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
3.211 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify (+ 0 0) into 0
3.219 * [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
3.220 * [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
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
3.220 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 2)
3.220 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in (x) around 0
3.220 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
3.220 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.220 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.220 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.220 * [taylor]: Taking taylor expansion of 1 in x
3.221 * [backup-simplify]: Simplify 1 into 1
3.221 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.221 * [taylor]: Taking taylor expansion of -1 in x
3.221 * [backup-simplify]: Simplify -1 into -1
3.221 * [taylor]: Taking taylor expansion of x in x
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 1 into 1
3.221 * [backup-simplify]: Simplify (/ -1 1) into -1
3.221 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.221 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.221 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.221 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
3.221 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.221 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.221 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.221 * [taylor]: Taking taylor expansion of 1 in x
3.221 * [backup-simplify]: Simplify 1 into 1
3.221 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.221 * [taylor]: Taking taylor expansion of -1 in x
3.221 * [backup-simplify]: Simplify -1 into -1
3.221 * [taylor]: Taking taylor expansion of x in x
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 1 into 1
3.222 * [backup-simplify]: Simplify (/ -1 1) into -1
3.222 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.222 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.222 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.222 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.222 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 2) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.223 * [backup-simplify]: Simplify (+ 0 0) into 0
3.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.224 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
3.224 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify (+ 0 0) into 0
3.225 * [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
3.225 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
3.225 * [backup-simplify]: Simplify 0 into 0
3.226 * [backup-simplify]: Simplify (+ 0 0) into 0
3.228 * [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
3.228 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0
3.228 * [backup-simplify]: Simplify 0 into 0
3.229 * [backup-simplify]: Simplify (+ 0 0) into 0
3.232 * [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
3.233 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify (+ 0 0) into 0
3.241 * [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
3.243 * [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
3.243 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify (+ 0 0) into 0
3.256 * [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
3.258 * [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
3.258 * [backup-simplify]: Simplify 0 into 0
3.258 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
3.258 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1)
3.258 * [backup-simplify]: Simplify (log1p (exp x)) into (log1p (exp x))
3.258 * [approximate]: Taking taylor expansion of (log1p (exp x)) in (x) around 0
3.258 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.258 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.258 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.259 * [taylor]: Taking taylor expansion of 1 in x
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [taylor]: Taking taylor expansion of (exp x) in x
3.259 * [taylor]: Taking taylor expansion of x in x
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [backup-simplify]: Simplify (exp 0) into 1
3.259 * [backup-simplify]: Simplify (+ 1 1) into 2
3.259 * [backup-simplify]: Simplify (log 2) into (log 2)
3.260 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.260 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.260 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.260 * [taylor]: Taking taylor expansion of 1 in x
3.260 * [backup-simplify]: Simplify 1 into 1
3.260 * [taylor]: Taking taylor expansion of (exp x) in x
3.260 * [taylor]: Taking taylor expansion of x in x
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 1 into 1
3.260 * [backup-simplify]: Simplify (exp 0) into 1
3.260 * [backup-simplify]: Simplify (+ 1 1) into 2
3.261 * [backup-simplify]: Simplify (log 2) into (log 2)
3.261 * [backup-simplify]: Simplify (log 2) into (log 2)
3.262 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
3.263 * [backup-simplify]: Simplify (+ 0 1) into 1
3.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
3.264 * [backup-simplify]: Simplify 1/2 into 1/2
3.266 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
3.266 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.269 * [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
3.269 * [backup-simplify]: Simplify 1/8 into 1/8
3.270 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
3.270 * [backup-simplify]: Simplify (log1p (exp (/ 1 x))) into (log1p (exp (/ 1 x)))
3.270 * [approximate]: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0
3.270 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.270 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.270 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.270 * [taylor]: Taking taylor expansion of 1 in x
3.270 * [backup-simplify]: Simplify 1 into 1
3.270 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.270 * [taylor]: Taking taylor expansion of x in x
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 1 into 1
3.271 * [backup-simplify]: Simplify (/ 1 1) into 1
3.271 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.271 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.271 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.271 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.271 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.271 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.271 * [taylor]: Taking taylor expansion of 1 in x
3.271 * [backup-simplify]: Simplify 1 into 1
3.271 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.271 * [taylor]: Taking taylor expansion of x in x
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify 1 into 1
3.272 * [backup-simplify]: Simplify (/ 1 1) into 1
3.272 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.272 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.272 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.272 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.273 * [backup-simplify]: Simplify (+ 0 0) into 0
3.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify (+ 0 0) into 0
3.276 * [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
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify (+ 0 0) into 0
3.279 * [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
3.279 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify (+ 0 0) into 0
3.284 * [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
3.284 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify (+ 0 0) into 0
3.292 * [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
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [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
3.305 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1))
3.306 * [backup-simplify]: Simplify (log1p (exp (/ 1 (- x)))) into (log1p (exp (/ -1 x)))
3.306 * [approximate]: Taking taylor expansion of (log1p (exp (/ -1 x))) in (x) around 0
3.306 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.306 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.306 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.306 * [taylor]: Taking taylor expansion of 1 in x
3.306 * [backup-simplify]: Simplify 1 into 1
3.306 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.306 * [taylor]: Taking taylor expansion of -1 in x
3.306 * [backup-simplify]: Simplify -1 into -1
3.306 * [taylor]: Taking taylor expansion of x in x
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (/ -1 1) into -1
3.307 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.307 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.307 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.307 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.307 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.307 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.307 * [taylor]: Taking taylor expansion of 1 in x
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.307 * [taylor]: Taking taylor expansion of -1 in x
3.307 * [backup-simplify]: Simplify -1 into -1
3.307 * [taylor]: Taking taylor expansion of x in x
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.308 * [backup-simplify]: Simplify (/ -1 1) into -1
3.308 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.308 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.308 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.308 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.309 * [backup-simplify]: Simplify (+ 0 0) into 0
3.309 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.309 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify (+ 0 0) into 0
3.312 * [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
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify (+ 0 0) into 0
3.315 * [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
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify (+ 0 0) into 0
3.320 * [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
3.320 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify (+ 0 0) into 0
3.330 * [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
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify (+ 0 0) into 0
3.343 * [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
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1))
3.343 * * * [progress]: simplifying candidates
3.343 * * * * [progress]: [ 1 / 119 ] simplifiying candidate #<alt (λ (x y) (log1p (expm1 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.343 * * * * [progress]: [ 2 / 119 ] simplifiying candidate #<alt (λ (x y) (expm1 (log1p (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.343 * * * * [progress]: [ 3 / 119 ] simplifiying candidate #<alt (λ (x y) (pow (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) 1))>
3.344 * * * * [progress]: [ 4 / 119 ] simplifiying candidate #<alt (λ (x y) (exp (- (log (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (log (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.344 * * * * [progress]: [ 5 / 119 ] simplifiying candidate #<alt (λ (x y) (exp (log (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.344 * * * * [progress]: [ 6 / 119 ] simplifiying candidate #<alt (λ (x y) (log (exp (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.344 * * * * [progress]: [ 7 / 119 ] simplifiying candidate #<alt (λ (x y) (cbrt (/ (* (* (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (* (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.344 * * * * [progress]: [ 8 / 119 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.344 * * * * [progress]: [ 9 / 119 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.344 * * * * [progress]: [ 10 / 119 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.344 * * * * [progress]: [ 11 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (- (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.344 * * * * [progress]: [ 12 / 119 ] simplifiying candidate #<alt (λ (x y) (- (/ (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (/ (* (* (* y x) (* y x)) (* y x)) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.344 * * * * [progress]: [ 13 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (* (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))) (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.344 * * * * [progress]: [ 14 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (* (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.345 * * * * [progress]: [ 15 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (* (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))) 1) (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.345 * * * * [progress]: [ 16 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.345 * * * * [progress]: [ 17 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.345 * * * * [progress]: [ 18 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) 1) (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.345 * * * * [progress]: [ 19 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.345 * * * * [progress]: [ 20 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.345 * * * * [progress]: [ 21 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1) (/ (- (log1p (exp x)) (* y x)) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.345 * * * * [progress]: [ 22 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.345 * * * * [progress]: [ 23 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.345 * * * * [progress]: [ 24 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 1) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.345 * * * * [progress]: [ 25 / 119 ] simplifiying candidate #<alt (λ (x y) (* 1 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.345 * * * * [progress]: [ 26 / 119 ] simplifiying candidate #<alt (λ (x y) (* (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (/ 1 (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.346 * * * * [progress]: [ 27 / 119 ] simplifiying candidate #<alt (λ (x y) (/ 1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))))>
3.346 * * * * [progress]: [ 28 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.346 * * * * [progress]: [ 29 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))>
3.346 * * * * [progress]: [ 30 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) 1) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.346 * * * * [progress]: [ 31 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (* (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))))>
3.346 * * * * [progress]: [ 32 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))))>
3.346 * * * * [progress]: [ 33 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- (log1p (exp x)) (* y x)))))>
3.346 * * * * [progress]: [ 34 / 119 ] simplifiying candidate #<alt (λ (x y) (/ 1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))))>
3.346 * * * * [progress]: [ 35 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3))) (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.346 * * * * [progress]: [ 36 / 119 ] simplifiying candidate #<alt (λ (x y) (* (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.346 * * * * [progress]: [ 37 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (pow (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) 3) (pow (* (* (* y x) (* y x)) (* y x)) 3)) (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))) (+ (* (* (* (* y x) (* y x)) (* y x)) (* (* (* y x) (* y x)) (* y x))) (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))))))>
3.346 * * * * [progress]: [ 38 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))) (* (* (* (* y x) (* y x)) (* y x)) (* (* (* y x) (* y x)) (* y x)))) (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))))>
3.347 * * * * [progress]: [ 39 / 119 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
3.347 * * * * [progress]: [ 40 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (log1p (expm1 (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 41 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (expm1 (log1p (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 42 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (log1p (exp x)) (+ 1 1)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 43 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (* (log1p (exp x)) (log1p (exp x))) 1) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 44 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (log1p (exp x)) 2) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 45 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (log1p (exp x)) (+ 1 1)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 46 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (* (log1p (exp x)) (log1p (exp x))) 1) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 47 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (exp (+ (log (log1p (exp x))) (log (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 48 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (exp (log (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 49 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (log (exp (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 50 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (cbrt (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.347 * * * * [progress]: [ 51 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* (cbrt (* (log1p (exp x)) (log1p (exp x)))) (cbrt (* (log1p (exp x)) (log1p (exp x))))) (cbrt (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 52 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (cbrt (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 53 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (sqrt (* (log1p (exp x)) (log1p (exp x)))) (sqrt (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 54 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* 1 (* (log1p (exp x)) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 55 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 56 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 57 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* 1 1) (* (log1p (exp x)) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 58 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 59 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (log1p (exp x)) (* 2 1)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 60 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* (log1p (exp x)) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 61 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 62 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* (log1p (exp x)) 1) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.348 * * * * [progress]: [ 63 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 64 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (sqrt (log1p (exp x))) (* (sqrt (log1p (exp x))) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 65 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* 1 (* (log1p (exp x)) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 66 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (posit16->real (real->posit16 (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 67 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 68 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (log1p (expm1 (* (log1p (exp x)) (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 69 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (expm1 (log1p (* (log1p (exp x)) (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 70 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (pow (log1p (exp x)) (+ 1 1)) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 71 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (pow (* (log1p (exp x)) (log1p (exp x))) 1) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 72 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (pow (log1p (exp x)) 2) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 73 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (pow (log1p (exp x)) (+ 1 1)) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 74 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (pow (* (log1p (exp x)) (log1p (exp x))) 1) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 75 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (exp (+ (log (log1p (exp x))) (log (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 76 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (exp (log (* (log1p (exp x)) (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.349 * * * * [progress]: [ 77 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (log (exp (* (log1p (exp x)) (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 78 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (cbrt (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 79 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* (cbrt (* (log1p (exp x)) (log1p (exp x)))) (cbrt (* (log1p (exp x)) (log1p (exp x))))) (cbrt (* (log1p (exp x)) (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 80 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (cbrt (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 81 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (sqrt (* (log1p (exp x)) (log1p (exp x)))) (sqrt (* (log1p (exp x)) (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 82 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* 1 (* (log1p (exp x)) (log1p (exp x)))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 83 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 84 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 85 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* 1 1) (* (log1p (exp x)) (log1p (exp x)))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 86 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.350 * * * * [progress]: [ 87 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (pow (log1p (exp x)) (* 2 1)) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 88 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* (log1p (exp x)) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 89 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 90 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* (log1p (exp x)) 1) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 91 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (log1p (exp x)))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 92 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (sqrt (log1p (exp x))) (* (sqrt (log1p (exp x))) (log1p (exp x)))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 93 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* 1 (* (log1p (exp x)) (log1p (exp x)))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 94 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (posit16->real (real->posit16 (* (log1p (exp x)) (log1p (exp x))))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 95 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 96 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log (+ 1 (exp x))) (* y x))))))>
3.351 * * * * [progress]: [ 97 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (expm1 (log1p (exp x)))) (* y x))))))>
3.351 * * * * [progress]: [ 98 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (expm1 (log1p (log1p (exp x)))) (* y x))))))>
3.351 * * * * [progress]: [ 99 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.351 * * * * [progress]: [ 100 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (pow (log1p (exp x)) 1) (* y x))))))>
3.352 * * * * [progress]: [ 101 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (exp (log (log1p (exp x)))) (* y x))))))>
3.352 * * * * [progress]: [ 102 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log (exp (log1p (exp x)))) (* y x))))))>
3.352 * * * * [progress]: [ 103 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
3.352 * * * * [progress]: [ 104 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (cbrt (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))) (* y x))))))>
3.352 * * * * [progress]: [ 105 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* y x))))))>
3.352 * * * * [progress]: [ 106 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* 1 (log1p (exp x))) (* y x))))))>
3.352 * * * * [progress]: [ 107 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (posit16->real (real->posit16 (log1p (exp x)))) (* y x))))))>
3.352 * * * * [progress]: [ 108 / 119 ] simplifiying candidate #<alt (λ (x y) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))>
3.352 * * * * [progress]: [ 109 / 119 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
3.352 * * * * [progress]: [ 110 / 119 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
3.352 * * * * [progress]: [ 111 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.353 * * * * [progress]: [ 112 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (log (+ (exp x) 1)) 2) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.353 * * * * [progress]: [ 113 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (log (+ (exp x) 1)) 2) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.353 * * * * [progress]: [ 114 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.353 * * * * [progress]: [ 115 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (pow (log (+ (exp x) 1)) 2) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.353 * * * * [progress]: [ 116 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (pow (log (+ (exp x) 1)) 2) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))>
3.353 * * * * [progress]: [ 117 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (* y x))))))>
3.353 * * * * [progress]: [ 118 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log (+ (exp x) 1)) (* y x))))))>
3.353 * * * * [progress]: [ 119 / 119 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log (+ (exp x) 1)) (* y x))))))>
3.356 * [simplify]: Simplifying:
  (expm1 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (log1p (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (- (log (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (log (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (log (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (exp (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (* (* (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (* (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (* (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (* (* (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (sqrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (sqrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (- (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))
  (- (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ (* (* (* y x) (* y x)) (* y x)) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ (* (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))) (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (* (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (* (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))) 1)
  (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) 1)
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (- (log1p (exp x)) (* y x)) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1)
  (/ (- (log1p (exp x)) (* y x)) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ 1 (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ 1 1)
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ 1 (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) 1)
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- (log1p (exp x)) (* y x)))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3)))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))) (+ (* (* (* (* y x) (* y x)) (* y x)) (* (* (* y x) (* y x)) (* y x))) (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))))
  (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))
  (real->posit16 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (expm1 (* (log1p (exp x)) (log1p (exp x))))
  (log1p (* (log1p (exp x)) (log1p (exp x))))
  (+ 1 1)
  (* (log1p (exp x)) (log1p (exp x)))
  (+ 1 1)
  (+ (log (log1p (exp x))) (log (log1p (exp x))))
  (log (* (log1p (exp x)) (log1p (exp x))))
  (exp (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))))
  (* (cbrt (* (log1p (exp x)) (log1p (exp x)))) (cbrt (* (log1p (exp x)) (log1p (exp x)))))
  (cbrt (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))
  (sqrt (* (log1p (exp x)) (log1p (exp x))))
  (sqrt (* (log1p (exp x)) (log1p (exp x))))
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* 1 1)
  (* (log1p (exp x)) (log1p (exp x)))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* 2 1)
  (* (log1p (exp x)) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (* (log1p (exp x)) 1)
  (* (cbrt (log1p (exp x))) (log1p (exp x)))
  (* (sqrt (log1p (exp x))) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
  (real->posit16 (* (log1p (exp x)) (log1p (exp x))))
  (expm1 (* (log1p (exp x)) (log1p (exp x))))
  (log1p (* (log1p (exp x)) (log1p (exp x))))
  (+ 1 1)
  (* (log1p (exp x)) (log1p (exp x)))
  (+ 1 1)
  (+ (log (log1p (exp x))) (log (log1p (exp x))))
  (log (* (log1p (exp x)) (log1p (exp x))))
  (exp (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))))
  (* (cbrt (* (log1p (exp x)) (log1p (exp x)))) (cbrt (* (log1p (exp x)) (log1p (exp x)))))
  (cbrt (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))
  (sqrt (* (log1p (exp x)) (log1p (exp x))))
  (sqrt (* (log1p (exp x)) (log1p (exp x))))
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* 1 1)
  (* (log1p (exp x)) (log1p (exp x)))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* 2 1)
  (* (log1p (exp x)) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (* (log1p (exp x)) 1)
  (* (cbrt (log1p (exp x))) (log1p (exp x)))
  (* (sqrt (log1p (exp x))) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
  (real->posit16 (* (log1p (exp x)) (log1p (exp x))))
  (+ 1 (exp x))
  (expm1 (log1p (exp x)))
  (log1p (log1p (exp x)))
  (log (log1p (exp x)))
  (exp (log1p (exp x)))
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (cbrt (log1p (exp x)))
  (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))
  (sqrt (log1p (exp x)))
  (sqrt (log1p (exp x)))
  (real->posit16 (log1p (exp x)))
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (- (log (+ (exp x) 1)) (* x y))
  (- (log (+ (exp x) 1)) (* x y))
  (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2))))
  (pow (log (+ (exp x) 1)) 2)
  (pow (log (+ (exp x) 1)) 2)
  (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2))))
  (pow (log (+ (exp x) 1)) 2)
  (pow (log (+ (exp x) 1)) 2)
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (log (+ (exp x) 1))
  (log (+ (exp x) 1))
3.362 * * [simplify]: iteration 1: (142 enodes)
3.398 * * [simplify]: iteration 2: (384 enodes)
3.573 * * [simplify]: iteration 3: (1429 enodes)
5.824 * * [simplify]: Extracting #0: cost 75 inf + 0
5.829 * * [simplify]: Extracting #1: cost 418 inf + 2
5.834 * * [simplify]: Extracting #2: cost 1241 inf + 3263
5.859 * * [simplify]: Extracting #3: cost 1674 inf + 111001
6.021 * * [simplify]: Extracting #4: cost 557 inf + 642885
6.323 * * [simplify]: Extracting #5: cost 16 inf + 887974
6.629 * * [simplify]: Extracting #6: cost 0 inf + 893750
6.886 * * [simplify]: Extracting #7: cost 0 inf + 893670
7.161 * [simplify]: Simplified to:
  (expm1 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (log1p (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (log (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (log (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (exp (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (* (* (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (* (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))) (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))))
  (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (* (* (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))) (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (sqrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (sqrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (- (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))
  (- (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))
  (/ (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))
  (/ (* (* (* y x) (* y x)) (* y x)) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))
  (* (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))) (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))))
  (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (/ (* (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))) (sqrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (* (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))
  (/ (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (* (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (sqrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))
  (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))
  (/ (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))) (* (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))))
  (/ (- (log1p (exp x)) (* y x)) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (/ (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))) (sqrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (/ (- (log1p (exp x)) (* y x)) (sqrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))
  (/ (- (log1p (exp x)) (* y x)) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))
  (/ 1 (* (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (/ 1 (sqrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  1
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))
  (/ 1 (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))
  (/ (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))
  (/ (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))) (cbrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))
  (/ (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))
  (/ (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))
  (/ (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))) (- (log1p (exp x)) (* y x)))
  (/ (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* (* (* y x) (fma y x (log1p (exp x)))) (* (* y x) (fma y x (log1p (exp x))))) (* (* y x) (fma y x (log1p (exp x)))) (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (fma y x (log1p (exp x))) (* (* y x) (* y x))) (fma y x (log1p (exp x))))))
  (* (fma (* (* (* y x) (* y x)) (* y x)) (fma (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)) (* (* (* y x) (* y x)) (* y x))) (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))
  (* (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))) (fma (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)) (* (* (* y x) (* y x)) (* y x))))
  (real->posit16 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x))))))
  (expm1 (* (log1p (exp x)) (log1p (exp x))))
  (log1p (* (log1p (exp x)) (log1p (exp x))))
  2
  (* (log1p (exp x)) (log1p (exp x)))
  2
  (+ (log (log1p (exp x))) (log (log1p (exp x))))
  (+ (log (log1p (exp x))) (log (log1p (exp x))))
  (exp (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))
  (* (cbrt (* (log1p (exp x)) (log1p (exp x)))) (cbrt (* (log1p (exp x)) (log1p (exp x)))))
  (cbrt (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))
  (fabs (log1p (exp x)))
  (fabs (log1p (exp x)))
  (* (log1p (exp x)) (cbrt (log1p (exp x))))
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (log1p (exp x))
  (log1p (exp x))
  1
  (* (log1p (exp x)) (log1p (exp x)))
  (log1p (exp x))
  (log1p (exp x))
  2
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (log1p (exp x)))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (log1p (exp x))
  (* (log1p (exp x)) (cbrt (log1p (exp x))))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (* (log1p (exp x)) (log1p (exp x)))
  (real->posit16 (* (log1p (exp x)) (log1p (exp x))))
  (expm1 (* (log1p (exp x)) (log1p (exp x))))
  (log1p (* (log1p (exp x)) (log1p (exp x))))
  2
  (* (log1p (exp x)) (log1p (exp x)))
  2
  (+ (log (log1p (exp x))) (log (log1p (exp x))))
  (+ (log (log1p (exp x))) (log (log1p (exp x))))
  (exp (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))
  (* (cbrt (* (log1p (exp x)) (log1p (exp x)))) (cbrt (* (log1p (exp x)) (log1p (exp x)))))
  (cbrt (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))
  (fabs (log1p (exp x)))
  (fabs (log1p (exp x)))
  (* (log1p (exp x)) (cbrt (log1p (exp x))))
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (log1p (exp x))
  (log1p (exp x))
  1
  (* (log1p (exp x)) (log1p (exp x)))
  (log1p (exp x))
  (log1p (exp x))
  2
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (log1p (exp x)))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (log1p (exp x))
  (* (log1p (exp x)) (cbrt (log1p (exp x))))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (* (log1p (exp x)) (log1p (exp x)))
  (real->posit16 (* (log1p (exp x)) (log1p (exp x))))
  (+ 1 (exp x))
  (exp x)
  (log1p (log1p (exp x)))
  (log (log1p (exp x)))
  (+ 1 (exp x))
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (cbrt (log1p (exp x)))
  (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))
  (sqrt (log1p (exp x)))
  (sqrt (log1p (exp x)))
  (real->posit16 (log1p (exp x)))
  (fma (* x x) 1/8 (fma x 1/2 (log 2)))
  (- (log1p (exp x)) (* y x))
  (- (log1p (exp x)) (* y x))
  (fma x (log 2) (+ (* x (* x 1/4)) (* (log 2) (+ (log 2) (* x (* x 1/4))))))
  (* (log1p (exp x)) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
  (fma x (log 2) (+ (* x (* x 1/4)) (* (log 2) (+ (log 2) (* x (* x 1/4))))))
  (* (log1p (exp x)) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
  (fma (* x x) 1/8 (fma x 1/2 (log 2)))
  (log1p (exp x))
  (log1p (exp x))
7.186 * * * [progress]: adding candidates to table
8.624 * * [progress]: iteration 3 / 4
8.624 * * * [progress]: picking best candidate
8.650 * * * * [pick]: Picked  #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
8.650 * * * [progress]: localizing error
8.721 * * * [progress]: generating rewritten candidates
8.721 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
9.085 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2)
9.208 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
9.359 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1)
9.373 * * * [progress]: generating series expansions
9.373 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
9.374 * [backup-simplify]: Simplify (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) into (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))))
9.374 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in (x y) around 0
9.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in y
9.374 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in y
9.374 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
9.374 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
9.375 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.375 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
9.375 * [taylor]: Taking taylor expansion of 1 in y
9.375 * [backup-simplify]: Simplify 1 into 1
9.375 * [taylor]: Taking taylor expansion of (exp x) in y
9.375 * [taylor]: Taking taylor expansion of x in y
9.375 * [backup-simplify]: Simplify x into x
9.375 * [backup-simplify]: Simplify (exp x) into (exp x)
9.375 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
9.375 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
9.375 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in y
9.375 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
9.375 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.375 * [taylor]: Taking taylor expansion of x in y
9.375 * [backup-simplify]: Simplify x into x
9.375 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.375 * [taylor]: Taking taylor expansion of y in y
9.375 * [backup-simplify]: Simplify 0 into 0
9.375 * [backup-simplify]: Simplify 1 into 1
9.375 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in y
9.375 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
9.375 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.375 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
9.376 * [taylor]: Taking taylor expansion of 1 in y
9.376 * [backup-simplify]: Simplify 1 into 1
9.376 * [taylor]: Taking taylor expansion of (exp x) in y
9.376 * [taylor]: Taking taylor expansion of x in y
9.376 * [backup-simplify]: Simplify x into x
9.376 * [backup-simplify]: Simplify (exp x) into (exp x)
9.376 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
9.376 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
9.376 * [taylor]: Taking taylor expansion of (* x y) in y
9.376 * [taylor]: Taking taylor expansion of x in y
9.376 * [backup-simplify]: Simplify x into x
9.376 * [taylor]: Taking taylor expansion of y in y
9.376 * [backup-simplify]: Simplify 0 into 0
9.376 * [backup-simplify]: Simplify 1 into 1
9.376 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
9.376 * [backup-simplify]: Simplify (* x 0) into 0
9.377 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) 0) into 0
9.377 * [backup-simplify]: Simplify (+ 0 0) into 0
9.377 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2)
9.378 * [backup-simplify]: Simplify (sqrt (pow (log (+ (exp x) 1)) 2)) into (log (+ (exp x) 1))
9.378 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
9.379 * [backup-simplify]: Simplify (+ 0 0) into 0
9.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
9.380 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) 0) (* 0 (log (+ (exp x) 1)))) into 0
9.380 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
9.381 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
9.381 * [backup-simplify]: Simplify (+ 0 0) into 0
9.382 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
9.382 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) x) (* 0 0)) into (* x (log (+ (exp x) 1)))
9.382 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
9.383 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
9.383 * [backup-simplify]: Simplify (/ (* x (log (+ (exp x) 1))) (* 2 (sqrt (pow (log (+ (exp x) 1)) 2)))) into (* 1/2 x)
9.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
9.383 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
9.383 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
9.383 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.383 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.383 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.383 * [taylor]: Taking taylor expansion of 1 in x
9.383 * [backup-simplify]: Simplify 1 into 1
9.383 * [taylor]: Taking taylor expansion of (exp x) in x
9.383 * [taylor]: Taking taylor expansion of x in x
9.383 * [backup-simplify]: Simplify 0 into 0
9.383 * [backup-simplify]: Simplify 1 into 1
9.383 * [backup-simplify]: Simplify (exp 0) into 1
9.384 * [backup-simplify]: Simplify (+ 1 1) into 2
9.384 * [backup-simplify]: Simplify (log 2) into (log 2)
9.384 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
9.384 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.384 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.384 * [taylor]: Taking taylor expansion of x in x
9.384 * [backup-simplify]: Simplify 0 into 0
9.384 * [backup-simplify]: Simplify 1 into 1
9.384 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.384 * [taylor]: Taking taylor expansion of y in x
9.384 * [backup-simplify]: Simplify y into y
9.384 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
9.384 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.384 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.384 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.384 * [taylor]: Taking taylor expansion of 1 in x
9.384 * [backup-simplify]: Simplify 1 into 1
9.384 * [taylor]: Taking taylor expansion of (exp x) in x
9.384 * [taylor]: Taking taylor expansion of x in x
9.385 * [backup-simplify]: Simplify 0 into 0
9.385 * [backup-simplify]: Simplify 1 into 1
9.385 * [backup-simplify]: Simplify (exp 0) into 1
9.385 * [backup-simplify]: Simplify (+ 1 1) into 2
9.385 * [backup-simplify]: Simplify (log 2) into (log 2)
9.385 * [taylor]: Taking taylor expansion of (* x y) in x
9.385 * [taylor]: Taking taylor expansion of x in x
9.385 * [backup-simplify]: Simplify 0 into 0
9.385 * [backup-simplify]: Simplify 1 into 1
9.385 * [taylor]: Taking taylor expansion of y in x
9.386 * [backup-simplify]: Simplify y into y
9.387 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
9.387 * [backup-simplify]: Simplify (* 0 y) into 0
9.387 * [backup-simplify]: Simplify (* (log 2) 0) into 0
9.388 * [backup-simplify]: Simplify (+ 0 0) into 0
9.389 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
9.390 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
9.391 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.392 * [backup-simplify]: Simplify (+ 0 1) into 1
9.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.396 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
9.396 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.397 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.397 * [backup-simplify]: Simplify (+ 0 1) into 1
9.399 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.400 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
9.400 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
9.401 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
9.404 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
9.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
9.404 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
9.404 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
9.404 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.404 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.404 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.404 * [taylor]: Taking taylor expansion of 1 in x
9.404 * [backup-simplify]: Simplify 1 into 1
9.404 * [taylor]: Taking taylor expansion of (exp x) in x
9.404 * [taylor]: Taking taylor expansion of x in x
9.404 * [backup-simplify]: Simplify 0 into 0
9.404 * [backup-simplify]: Simplify 1 into 1
9.404 * [backup-simplify]: Simplify (exp 0) into 1
9.404 * [backup-simplify]: Simplify (+ 1 1) into 2
9.405 * [backup-simplify]: Simplify (log 2) into (log 2)
9.405 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
9.405 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.405 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.405 * [taylor]: Taking taylor expansion of x in x
9.405 * [backup-simplify]: Simplify 0 into 0
9.405 * [backup-simplify]: Simplify 1 into 1
9.405 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.405 * [taylor]: Taking taylor expansion of y in x
9.405 * [backup-simplify]: Simplify y into y
9.405 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
9.405 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.405 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.405 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.405 * [taylor]: Taking taylor expansion of 1 in x
9.405 * [backup-simplify]: Simplify 1 into 1
9.405 * [taylor]: Taking taylor expansion of (exp x) in x
9.405 * [taylor]: Taking taylor expansion of x in x
9.405 * [backup-simplify]: Simplify 0 into 0
9.405 * [backup-simplify]: Simplify 1 into 1
9.405 * [backup-simplify]: Simplify (exp 0) into 1
9.406 * [backup-simplify]: Simplify (+ 1 1) into 2
9.406 * [backup-simplify]: Simplify (log 2) into (log 2)
9.406 * [taylor]: Taking taylor expansion of (* x y) in x
9.406 * [taylor]: Taking taylor expansion of x in x
9.406 * [backup-simplify]: Simplify 0 into 0
9.406 * [backup-simplify]: Simplify 1 into 1
9.406 * [taylor]: Taking taylor expansion of y in x
9.406 * [backup-simplify]: Simplify y into y
9.407 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
9.407 * [backup-simplify]: Simplify (* 0 y) into 0
9.408 * [backup-simplify]: Simplify (* (log 2) 0) into 0
9.408 * [backup-simplify]: Simplify (+ 0 0) into 0
9.410 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
9.411 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
9.412 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.413 * [backup-simplify]: Simplify (+ 0 1) into 1
9.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.416 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
9.417 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.418 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.419 * [backup-simplify]: Simplify (+ 0 1) into 1
9.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.420 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
9.420 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
9.421 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
9.422 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
9.423 * [taylor]: Taking taylor expansion of (log 2) in y
9.423 * [taylor]: Taking taylor expansion of 2 in y
9.423 * [backup-simplify]: Simplify 2 into 2
9.423 * [backup-simplify]: Simplify (log 2) into (log 2)
9.423 * [backup-simplify]: Simplify (log 2) into (log 2)
9.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) in y
9.423 * [taylor]: Taking taylor expansion of 1/2 in y
9.423 * [backup-simplify]: Simplify 1/2 into 1/2
9.423 * [taylor]: Taking taylor expansion of (/ (+ (log 2) (* (log 2) y)) (log 2)) in y
9.423 * [taylor]: Taking taylor expansion of (+ (log 2) (* (log 2) y)) in y
9.423 * [taylor]: Taking taylor expansion of (log 2) in y
9.423 * [taylor]: Taking taylor expansion of 2 in y
9.423 * [backup-simplify]: Simplify 2 into 2
9.423 * [backup-simplify]: Simplify (log 2) into (log 2)
9.424 * [taylor]: Taking taylor expansion of (* (log 2) y) in y
9.424 * [taylor]: Taking taylor expansion of (log 2) in y
9.424 * [taylor]: Taking taylor expansion of 2 in y
9.424 * [backup-simplify]: Simplify 2 into 2
9.424 * [backup-simplify]: Simplify (log 2) into (log 2)
9.424 * [taylor]: Taking taylor expansion of y in y
9.424 * [backup-simplify]: Simplify 0 into 0
9.424 * [backup-simplify]: Simplify 1 into 1
9.424 * [taylor]: Taking taylor expansion of (log 2) in y
9.424 * [taylor]: Taking taylor expansion of 2 in y
9.424 * [backup-simplify]: Simplify 2 into 2
9.424 * [backup-simplify]: Simplify (log 2) into (log 2)
9.424 * [backup-simplify]: Simplify (* (log 2) 0) into 0
9.425 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
9.426 * [backup-simplify]: Simplify (/ (log 2) (log 2)) into 1
9.426 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.426 * [backup-simplify]: Simplify 1/2 into 1/2
9.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
9.427 * [backup-simplify]: Simplify 0 into 0
9.428 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
9.428 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
9.430 * [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
9.432 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
9.432 * [backup-simplify]: Simplify (* 1 1) into 1
9.432 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.432 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
9.434 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
9.434 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
9.435 * [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
9.436 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 1/2 y) (* 1/8 0))) into (* 1/2 y)
9.436 * [backup-simplify]: Simplify (+ (pow y 2) (* 1/2 y)) into (+ (pow y 2) (* 1/2 y))
9.437 * [backup-simplify]: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (+ (pow y 2) (* 1/2 y))) into (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4)))
9.439 * [backup-simplify]: Simplify (/ (- (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4))) (pow (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) 2) (+)) (* 2 (log 2))) into (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)))
9.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2))) in y
9.439 * [taylor]: Taking taylor expansion of 1/2 in y
9.439 * [backup-simplify]: Simplify 1/2 into 1/2
9.439 * [taylor]: Taking taylor expansion of (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)) in y
9.439 * [taylor]: Taking taylor expansion of (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) in y
9.439 * [taylor]: Taking taylor expansion of (* 1/4 (log 2)) in y
9.439 * [taylor]: Taking taylor expansion of 1/4 in y
9.439 * [backup-simplify]: Simplify 1/4 into 1/4
9.439 * [taylor]: Taking taylor expansion of (log 2) in y
9.439 * [taylor]: Taking taylor expansion of 2 in y
9.439 * [backup-simplify]: Simplify 2 into 2
9.440 * [backup-simplify]: Simplify (log 2) into (log 2)
9.440 * [taylor]: Taking taylor expansion of (* 3/4 (pow y 2)) in y
9.440 * [taylor]: Taking taylor expansion of 3/4 in y
9.440 * [backup-simplify]: Simplify 3/4 into 3/4
9.440 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.440 * [taylor]: Taking taylor expansion of y in y
9.440 * [backup-simplify]: Simplify 0 into 0
9.440 * [backup-simplify]: Simplify 1 into 1
9.440 * [taylor]: Taking taylor expansion of (log 2) in y
9.440 * [taylor]: Taking taylor expansion of 2 in y
9.440 * [backup-simplify]: Simplify 2 into 2
9.440 * [backup-simplify]: Simplify (log 2) into (log 2)
9.441 * [backup-simplify]: Simplify (* 1/4 (log 2)) into (* 1/4 (log 2))
9.442 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 0) into (* 1/4 (log 2))
9.443 * [backup-simplify]: Simplify (/ (* 1/4 (log 2)) (log 2)) into 1/4
9.443 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8
9.443 * [backup-simplify]: Simplify 1/8 into 1/8
9.444 * [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))))
9.445 * [backup-simplify]: Simplify (/ (+ (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (+ (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) (sqrt (+ (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (+ (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))))
9.445 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in (x y) around 0
9.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in y
9.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in y
9.445 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
9.445 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
9.445 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.445 * [taylor]: Taking taylor expansion of x in y
9.445 * [backup-simplify]: Simplify x into x
9.445 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.445 * [taylor]: Taking taylor expansion of y in y
9.445 * [backup-simplify]: Simplify 0 into 0
9.445 * [backup-simplify]: Simplify 1 into 1
9.445 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.446 * [backup-simplify]: Simplify (* 1 1) into 1
9.446 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
9.446 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.446 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in y
9.446 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in y
9.446 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
9.446 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.446 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
9.446 * [taylor]: Taking taylor expansion of 1 in y
9.446 * [backup-simplify]: Simplify 1 into 1
9.446 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.446 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.446 * [taylor]: Taking taylor expansion of x in y
9.446 * [backup-simplify]: Simplify x into x
9.446 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.446 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.446 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.447 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.447 * [taylor]: Taking taylor expansion of (* x y) in y
9.447 * [taylor]: Taking taylor expansion of x in y
9.447 * [backup-simplify]: Simplify x into x
9.447 * [taylor]: Taking taylor expansion of y in y
9.447 * [backup-simplify]: Simplify 0 into 0
9.447 * [backup-simplify]: Simplify 1 into 1
9.447 * [backup-simplify]: Simplify (* x 0) into 0
9.447 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
9.447 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) x) into (/ (log (+ (exp (/ 1 x)) 1)) x)
9.447 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
9.447 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
9.448 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.448 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
9.448 * [taylor]: Taking taylor expansion of 1 in y
9.448 * [backup-simplify]: Simplify 1 into 1
9.448 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.448 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.448 * [taylor]: Taking taylor expansion of x in y
9.448 * [backup-simplify]: Simplify x into x
9.448 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.448 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.448 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.448 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.448 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
9.448 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
9.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.449 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.449 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
9.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.450 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) x) 0) into (/ (log (+ (exp (/ 1 x)) 1)) x)
9.450 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) x)) into (/ (log (+ (exp (/ 1 x)) 1)) x)
9.450 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
9.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
9.450 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.450 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.450 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.450 * [taylor]: Taking taylor expansion of x in x
9.450 * [backup-simplify]: Simplify 0 into 0
9.450 * [backup-simplify]: Simplify 1 into 1
9.450 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.450 * [taylor]: Taking taylor expansion of y in x
9.450 * [backup-simplify]: Simplify y into y
9.451 * [backup-simplify]: Simplify (* 1 1) into 1
9.451 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.451 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.451 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.451 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
9.451 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
9.451 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.451 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.451 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.451 * [taylor]: Taking taylor expansion of 1 in x
9.451 * [backup-simplify]: Simplify 1 into 1
9.451 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.451 * [taylor]: Taking taylor expansion of x in x
9.451 * [backup-simplify]: Simplify 0 into 0
9.451 * [backup-simplify]: Simplify 1 into 1
9.451 * [backup-simplify]: Simplify (/ 1 1) into 1
9.452 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.452 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.452 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.452 * [taylor]: Taking taylor expansion of (* x y) in x
9.452 * [taylor]: Taking taylor expansion of x in x
9.452 * [backup-simplify]: Simplify 0 into 0
9.452 * [backup-simplify]: Simplify 1 into 1
9.452 * [taylor]: Taking taylor expansion of y in x
9.452 * [backup-simplify]: Simplify y into y
9.452 * [backup-simplify]: Simplify (* 0 y) into 0
9.452 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.452 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.452 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
9.453 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.453 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.453 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.453 * [taylor]: Taking taylor expansion of 1 in x
9.453 * [backup-simplify]: Simplify 1 into 1
9.453 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.453 * [taylor]: Taking taylor expansion of x in x
9.453 * [backup-simplify]: Simplify 0 into 0
9.453 * [backup-simplify]: Simplify 1 into 1
9.453 * [backup-simplify]: Simplify (/ 1 1) into 1
9.453 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.453 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.453 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.453 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.454 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.454 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.455 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.455 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.455 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
9.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
9.456 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.456 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.456 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.456 * [taylor]: Taking taylor expansion of x in x
9.456 * [backup-simplify]: Simplify 0 into 0
9.456 * [backup-simplify]: Simplify 1 into 1
9.456 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.456 * [taylor]: Taking taylor expansion of y in x
9.456 * [backup-simplify]: Simplify y into y
9.456 * [backup-simplify]: Simplify (* 1 1) into 1
9.456 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.456 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.456 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.456 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
9.456 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
9.456 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.456 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.456 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.457 * [taylor]: Taking taylor expansion of 1 in x
9.457 * [backup-simplify]: Simplify 1 into 1
9.457 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.457 * [taylor]: Taking taylor expansion of x in x
9.457 * [backup-simplify]: Simplify 0 into 0
9.457 * [backup-simplify]: Simplify 1 into 1
9.457 * [backup-simplify]: Simplify (/ 1 1) into 1
9.457 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.457 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.457 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.457 * [taylor]: Taking taylor expansion of (* x y) in x
9.457 * [taylor]: Taking taylor expansion of x in x
9.457 * [backup-simplify]: Simplify 0 into 0
9.457 * [backup-simplify]: Simplify 1 into 1
9.457 * [taylor]: Taking taylor expansion of y in x
9.457 * [backup-simplify]: Simplify y into y
9.458 * [backup-simplify]: Simplify (* 0 y) into 0
9.458 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.458 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.458 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
9.458 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.458 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.458 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.458 * [taylor]: Taking taylor expansion of 1 in x
9.458 * [backup-simplify]: Simplify 1 into 1
9.458 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.458 * [taylor]: Taking taylor expansion of x in x
9.458 * [backup-simplify]: Simplify 0 into 0
9.458 * [backup-simplify]: Simplify 1 into 1
9.459 * [backup-simplify]: Simplify (/ 1 1) into 1
9.459 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.459 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.459 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.459 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.459 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.459 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.461 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.461 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.461 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.461 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.461 * [taylor]: Taking taylor expansion of y in y
9.461 * [backup-simplify]: Simplify 0 into 0
9.461 * [backup-simplify]: Simplify 1 into 1
9.461 * [backup-simplify]: Simplify (/ 1 1) into 1
9.462 * [backup-simplify]: Simplify 1 into 1
9.462 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ 1 x)) 1))) in y
9.462 * [taylor]: Taking taylor expansion of 1/2 in y
9.462 * [backup-simplify]: Simplify 1/2 into 1/2
9.462 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.462 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.462 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.462 * [taylor]: Taking taylor expansion of x in y
9.462 * [backup-simplify]: Simplify x into x
9.462 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.462 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.462 * [taylor]: Taking taylor expansion of 1 in y
9.462 * [backup-simplify]: Simplify 1 into 1
9.462 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.462 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.463 * [backup-simplify]: Simplify 0 into 0
9.463 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
9.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.466 * [backup-simplify]: Simplify (+ 0 0) into 0
9.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
9.467 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)))) into 0
9.467 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.468 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.468 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.469 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ 1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ 1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)))
9.469 * [taylor]: Taking taylor expansion of (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) in y
9.469 * [taylor]: Taking taylor expansion of 3/8 in y
9.469 * [backup-simplify]: Simplify 3/8 into 3/8
9.469 * [taylor]: Taking taylor expansion of (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y
9.469 * [taylor]: Taking taylor expansion of y in y
9.469 * [backup-simplify]: Simplify 0 into 0
9.469 * [backup-simplify]: Simplify 1 into 1
9.469 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y
9.469 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.469 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.469 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.469 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.469 * [taylor]: Taking taylor expansion of x in y
9.469 * [backup-simplify]: Simplify x into x
9.469 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.469 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.469 * [taylor]: Taking taylor expansion of 1 in y
9.469 * [backup-simplify]: Simplify 1 into 1
9.469 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.469 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.469 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.470 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.471 * [backup-simplify]: Simplify 0 into 0
9.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
9.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.474 * [backup-simplify]: Simplify (+ 0 0) into 0
9.476 * [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
9.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
9.478 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.478 * [backup-simplify]: Simplify (+ 0 0) into 0
9.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.479 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.480 * [backup-simplify]: Simplify (+ 0 0) into 0
9.480 * [backup-simplify]: Simplify (+ 0 0) into 0
9.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)))
9.481 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))) in y
9.481 * [taylor]: Taking taylor expansion of -3/16 in y
9.481 * [backup-simplify]: Simplify -3/16 into -3/16
9.481 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)) in y
9.481 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.481 * [taylor]: Taking taylor expansion of y in y
9.481 * [backup-simplify]: Simplify 0 into 0
9.481 * [backup-simplify]: Simplify 1 into 1
9.481 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 3) in y
9.481 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.481 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.481 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.481 * [taylor]: Taking taylor expansion of x in y
9.481 * [backup-simplify]: Simplify x into x
9.481 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.481 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.481 * [taylor]: Taking taylor expansion of 1 in y
9.481 * [backup-simplify]: Simplify 1 into 1
9.481 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.482 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.482 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.482 * [backup-simplify]: Simplify (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into 0
9.482 * [backup-simplify]: Simplify (* 3/8 0) into 0
9.482 * [backup-simplify]: Simplify 0 into 0
9.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
9.483 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.484 * [backup-simplify]: Simplify (+ 0 0) into 0
9.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.485 * [backup-simplify]: Simplify 0 into 0
9.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.486 * [backup-simplify]: Simplify 0 into 0
9.487 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
9.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.493 * [backup-simplify]: Simplify (+ 0 0) into 0
9.496 * [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
9.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.498 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.499 * [backup-simplify]: Simplify (+ 0 0) into 0
9.500 * [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
9.500 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
9.500 * [backup-simplify]: Simplify (+ 0 0) into 0
9.501 * [backup-simplify]: Simplify (+ 0 0) into 0
9.501 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)))
9.501 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4))) in y
9.501 * [taylor]: Taking taylor expansion of 3/128 in y
9.501 * [backup-simplify]: Simplify 3/128 into 3/128
9.501 * [taylor]: Taking taylor expansion of (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)) in y
9.501 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.501 * [taylor]: Taking taylor expansion of y in y
9.501 * [backup-simplify]: Simplify 0 into 0
9.501 * [backup-simplify]: Simplify 1 into 1
9.501 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 4) in y
9.501 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.501 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.501 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.501 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.501 * [taylor]: Taking taylor expansion of x in y
9.501 * [backup-simplify]: Simplify x into x
9.501 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.501 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.502 * [taylor]: Taking taylor expansion of 1 in y
9.502 * [backup-simplify]: Simplify 1 into 1
9.502 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.502 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
9.502 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.502 * [backup-simplify]: Simplify (+ 0 0) into 0
9.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.503 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.503 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.504 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
9.504 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
9.504 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2)) (* (/ 1 y) (/ 1 x))) (+ (* 1/2 (log (+ (exp (/ 1 (/ 1 x))) 1))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
9.505 * [backup-simplify]: Simplify (/ (+ (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (+ (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) (sqrt (+ (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (+ (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))))
9.505 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in (x y) around 0
9.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in y
9.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in y
9.505 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
9.505 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
9.505 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.505 * [taylor]: Taking taylor expansion of x in y
9.505 * [backup-simplify]: Simplify x into x
9.505 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.505 * [taylor]: Taking taylor expansion of y in y
9.505 * [backup-simplify]: Simplify 0 into 0
9.505 * [backup-simplify]: Simplify 1 into 1
9.505 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.506 * [backup-simplify]: Simplify (* 1 1) into 1
9.506 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
9.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.506 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in y
9.506 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
9.506 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
9.506 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.506 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
9.506 * [taylor]: Taking taylor expansion of 1 in y
9.506 * [backup-simplify]: Simplify 1 into 1
9.506 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.506 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.506 * [taylor]: Taking taylor expansion of -1 in y
9.506 * [backup-simplify]: Simplify -1 into -1
9.506 * [taylor]: Taking taylor expansion of x in y
9.506 * [backup-simplify]: Simplify x into x
9.506 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.506 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.506 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.506 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.506 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in y
9.506 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
9.506 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.506 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
9.506 * [taylor]: Taking taylor expansion of 1 in y
9.506 * [backup-simplify]: Simplify 1 into 1
9.506 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.506 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.506 * [taylor]: Taking taylor expansion of -1 in y
9.506 * [backup-simplify]: Simplify -1 into -1
9.506 * [taylor]: Taking taylor expansion of x in y
9.506 * [backup-simplify]: Simplify x into x
9.506 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.506 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.506 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.506 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.507 * [taylor]: Taking taylor expansion of (* x y) in y
9.507 * [taylor]: Taking taylor expansion of x in y
9.507 * [backup-simplify]: Simplify x into x
9.507 * [taylor]: Taking taylor expansion of y in y
9.507 * [backup-simplify]: Simplify 0 into 0
9.507 * [backup-simplify]: Simplify 1 into 1
9.507 * [backup-simplify]: Simplify (* x 0) into 0
9.507 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
9.507 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) x) into (/ (log (+ (exp (/ -1 x)) 1)) x)
9.507 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
9.507 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
9.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.508 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.508 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
9.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.508 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
9.508 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
9.508 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
9.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
9.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.508 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.508 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.508 * [taylor]: Taking taylor expansion of x in x
9.508 * [backup-simplify]: Simplify 0 into 0
9.508 * [backup-simplify]: Simplify 1 into 1
9.508 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.508 * [taylor]: Taking taylor expansion of y in x
9.509 * [backup-simplify]: Simplify y into y
9.509 * [backup-simplify]: Simplify (* 1 1) into 1
9.509 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.509 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.509 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.509 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
9.509 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
9.509 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.509 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.509 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.509 * [taylor]: Taking taylor expansion of 1 in x
9.509 * [backup-simplify]: Simplify 1 into 1
9.509 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.509 * [taylor]: Taking taylor expansion of -1 in x
9.509 * [backup-simplify]: Simplify -1 into -1
9.509 * [taylor]: Taking taylor expansion of x in x
9.509 * [backup-simplify]: Simplify 0 into 0
9.509 * [backup-simplify]: Simplify 1 into 1
9.509 * [backup-simplify]: Simplify (/ -1 1) into -1
9.509 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.510 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.510 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.510 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
9.510 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.510 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.510 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.510 * [taylor]: Taking taylor expansion of 1 in x
9.510 * [backup-simplify]: Simplify 1 into 1
9.510 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.510 * [taylor]: Taking taylor expansion of -1 in x
9.510 * [backup-simplify]: Simplify -1 into -1
9.510 * [taylor]: Taking taylor expansion of x in x
9.510 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify 1 into 1
9.510 * [backup-simplify]: Simplify (/ -1 1) into -1
9.510 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.510 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.510 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.510 * [taylor]: Taking taylor expansion of (* x y) in x
9.510 * [taylor]: Taking taylor expansion of x in x
9.510 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify 1 into 1
9.510 * [taylor]: Taking taylor expansion of y in x
9.510 * [backup-simplify]: Simplify y into y
9.510 * [backup-simplify]: Simplify (* 0 y) into 0
9.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.511 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.511 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.511 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.511 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.512 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.512 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.512 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
9.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
9.512 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.512 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.512 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.512 * [taylor]: Taking taylor expansion of x in x
9.512 * [backup-simplify]: Simplify 0 into 0
9.512 * [backup-simplify]: Simplify 1 into 1
9.512 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.512 * [taylor]: Taking taylor expansion of y in x
9.512 * [backup-simplify]: Simplify y into y
9.513 * [backup-simplify]: Simplify (* 1 1) into 1
9.513 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.513 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.513 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.513 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
9.513 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
9.513 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.513 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.513 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.513 * [taylor]: Taking taylor expansion of 1 in x
9.513 * [backup-simplify]: Simplify 1 into 1
9.513 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.513 * [taylor]: Taking taylor expansion of -1 in x
9.513 * [backup-simplify]: Simplify -1 into -1
9.513 * [taylor]: Taking taylor expansion of x in x
9.513 * [backup-simplify]: Simplify 0 into 0
9.513 * [backup-simplify]: Simplify 1 into 1
9.513 * [backup-simplify]: Simplify (/ -1 1) into -1
9.513 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.513 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.513 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.513 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
9.513 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.513 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.513 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.513 * [taylor]: Taking taylor expansion of 1 in x
9.513 * [backup-simplify]: Simplify 1 into 1
9.513 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.514 * [taylor]: Taking taylor expansion of -1 in x
9.514 * [backup-simplify]: Simplify -1 into -1
9.514 * [taylor]: Taking taylor expansion of x in x
9.514 * [backup-simplify]: Simplify 0 into 0
9.514 * [backup-simplify]: Simplify 1 into 1
9.514 * [backup-simplify]: Simplify (/ -1 1) into -1
9.514 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.514 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.514 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.514 * [taylor]: Taking taylor expansion of (* x y) in x
9.514 * [taylor]: Taking taylor expansion of x in x
9.514 * [backup-simplify]: Simplify 0 into 0
9.514 * [backup-simplify]: Simplify 1 into 1
9.514 * [taylor]: Taking taylor expansion of y in x
9.514 * [backup-simplify]: Simplify y into y
9.514 * [backup-simplify]: Simplify (* 0 y) into 0
9.514 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.515 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.515 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.515 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.515 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.516 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.516 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.516 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.516 * [taylor]: Taking taylor expansion of y in y
9.516 * [backup-simplify]: Simplify 0 into 0
9.516 * [backup-simplify]: Simplify 1 into 1
9.516 * [backup-simplify]: Simplify (/ 1 1) into 1
9.516 * [backup-simplify]: Simplify 1 into 1
9.516 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ -1 x)) 1))) in y
9.516 * [taylor]: Taking taylor expansion of 1/2 in y
9.516 * [backup-simplify]: Simplify 1/2 into 1/2
9.516 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.516 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.516 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.516 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.516 * [taylor]: Taking taylor expansion of -1 in y
9.516 * [backup-simplify]: Simplify -1 into -1
9.516 * [taylor]: Taking taylor expansion of x in y
9.516 * [backup-simplify]: Simplify x into x
9.516 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.516 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.517 * [taylor]: Taking taylor expansion of 1 in y
9.517 * [backup-simplify]: Simplify 1 into 1
9.517 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.517 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.517 * [backup-simplify]: Simplify 0 into 0
9.517 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
9.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.519 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.519 * [backup-simplify]: Simplify (+ 0 0) into 0
9.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
9.520 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)))) into 0
9.520 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.520 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.521 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ -1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y))
9.521 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) in y
9.521 * [taylor]: Taking taylor expansion of 3/8 in y
9.521 * [backup-simplify]: Simplify 3/8 into 3/8
9.521 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y) in y
9.521 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y
9.521 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.521 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.521 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.521 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.521 * [taylor]: Taking taylor expansion of -1 in y
9.521 * [backup-simplify]: Simplify -1 into -1
9.521 * [taylor]: Taking taylor expansion of x in y
9.521 * [backup-simplify]: Simplify x into x
9.521 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.521 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.521 * [taylor]: Taking taylor expansion of 1 in y
9.521 * [backup-simplify]: Simplify 1 into 1
9.521 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.521 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.521 * [taylor]: Taking taylor expansion of y in y
9.521 * [backup-simplify]: Simplify 0 into 0
9.521 * [backup-simplify]: Simplify 1 into 1
9.521 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.521 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.522 * [backup-simplify]: Simplify 0 into 0
9.522 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
9.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.524 * [backup-simplify]: Simplify (+ 0 0) into 0
9.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.525 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.525 * [backup-simplify]: Simplify (+ 0 0) into 0
9.526 * [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
9.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
9.527 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.527 * [backup-simplify]: Simplify (+ 0 0) into 0
9.528 * [backup-simplify]: Simplify (+ 0 0) into 0
9.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)))
9.529 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))) in y
9.529 * [taylor]: Taking taylor expansion of -3/16 in y
9.529 * [backup-simplify]: Simplify -3/16 into -3/16
9.529 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)) in y
9.529 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 3) in y
9.529 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.529 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.529 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.529 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.529 * [taylor]: Taking taylor expansion of -1 in y
9.529 * [backup-simplify]: Simplify -1 into -1
9.529 * [taylor]: Taking taylor expansion of x in y
9.529 * [backup-simplify]: Simplify x into x
9.529 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.529 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.529 * [taylor]: Taking taylor expansion of 1 in y
9.529 * [backup-simplify]: Simplify 1 into 1
9.529 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.529 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.529 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.529 * [taylor]: Taking taylor expansion of y in y
9.529 * [backup-simplify]: Simplify 0 into 0
9.529 * [backup-simplify]: Simplify 1 into 1
9.530 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.530 * [backup-simplify]: Simplify (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into 0
9.530 * [backup-simplify]: Simplify (* 3/8 0) into 0
9.530 * [backup-simplify]: Simplify 0 into 0
9.530 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.531 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.532 * [backup-simplify]: Simplify (+ 0 0) into 0
9.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.533 * [backup-simplify]: Simplify 0 into 0
9.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.534 * [backup-simplify]: Simplify 0 into 0
9.535 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
9.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.538 * [backup-simplify]: Simplify (+ 0 0) into 0
9.540 * [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
9.541 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
9.541 * [backup-simplify]: Simplify (+ 0 0) into 0
9.544 * [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
9.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.546 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.546 * [backup-simplify]: Simplify (+ 0 0) into 0
9.547 * [backup-simplify]: Simplify (+ 0 0) into 0
9.548 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)))
9.548 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3))) in y
9.548 * [taylor]: Taking taylor expansion of 3/128 in y
9.548 * [backup-simplify]: Simplify 3/128 into 3/128
9.548 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)) in y
9.548 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 4) in y
9.548 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.548 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.548 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.548 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.548 * [taylor]: Taking taylor expansion of -1 in y
9.548 * [backup-simplify]: Simplify -1 into -1
9.549 * [taylor]: Taking taylor expansion of x in y
9.549 * [backup-simplify]: Simplify x into x
9.549 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.549 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.549 * [taylor]: Taking taylor expansion of 1 in y
9.549 * [backup-simplify]: Simplify 1 into 1
9.549 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.549 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.549 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.549 * [taylor]: Taking taylor expansion of y in y
9.549 * [backup-simplify]: Simplify 0 into 0
9.549 * [backup-simplify]: Simplify 1 into 1
9.549 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.550 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.551 * [backup-simplify]: Simplify (+ 0 0) into 0
9.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.552 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.552 * [backup-simplify]: Simplify (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 1) (* 0 0)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.553 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
9.553 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
9.554 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2)) (* (/ 1 (- y)) (/ 1 (- x)))) (+ (* 1/2 (log (+ (exp (/ -1 (/ 1 (- x)))) 1))) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
9.554 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2)
9.554 * [backup-simplify]: Simplify (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) into (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))))
9.554 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in (x y) around 0
9.555 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in y
9.555 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in y
9.555 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
9.555 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
9.555 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.555 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
9.555 * [taylor]: Taking taylor expansion of 1 in y
9.555 * [backup-simplify]: Simplify 1 into 1
9.555 * [taylor]: Taking taylor expansion of (exp x) in y
9.555 * [taylor]: Taking taylor expansion of x in y
9.555 * [backup-simplify]: Simplify x into x
9.555 * [backup-simplify]: Simplify (exp x) into (exp x)
9.555 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
9.555 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
9.555 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in y
9.555 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
9.555 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.555 * [taylor]: Taking taylor expansion of x in y
9.555 * [backup-simplify]: Simplify x into x
9.555 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.555 * [taylor]: Taking taylor expansion of y in y
9.555 * [backup-simplify]: Simplify 0 into 0
9.555 * [backup-simplify]: Simplify 1 into 1
9.555 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in y
9.555 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
9.555 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.555 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
9.555 * [taylor]: Taking taylor expansion of 1 in y
9.555 * [backup-simplify]: Simplify 1 into 1
9.555 * [taylor]: Taking taylor expansion of (exp x) in y
9.555 * [taylor]: Taking taylor expansion of x in y
9.555 * [backup-simplify]: Simplify x into x
9.555 * [backup-simplify]: Simplify (exp x) into (exp x)
9.555 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
9.555 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
9.555 * [taylor]: Taking taylor expansion of (* x y) in y
9.555 * [taylor]: Taking taylor expansion of x in y
9.555 * [backup-simplify]: Simplify x into x
9.556 * [taylor]: Taking taylor expansion of y in y
9.556 * [backup-simplify]: Simplify 0 into 0
9.556 * [backup-simplify]: Simplify 1 into 1
9.556 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
9.556 * [backup-simplify]: Simplify (* x 0) into 0
9.556 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) 0) into 0
9.556 * [backup-simplify]: Simplify (+ 0 0) into 0
9.556 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2)
9.556 * [backup-simplify]: Simplify (sqrt (pow (log (+ (exp x) 1)) 2)) into (log (+ (exp x) 1))
9.557 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
9.557 * [backup-simplify]: Simplify (+ 0 0) into 0
9.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
9.558 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) 0) (* 0 (log (+ (exp x) 1)))) into 0
9.558 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
9.558 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
9.559 * [backup-simplify]: Simplify (+ 0 0) into 0
9.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
9.559 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) x) (* 0 0)) into (* x (log (+ (exp x) 1)))
9.559 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
9.559 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
9.560 * [backup-simplify]: Simplify (/ (* x (log (+ (exp x) 1))) (* 2 (sqrt (pow (log (+ (exp x) 1)) 2)))) into (* 1/2 x)
9.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
9.560 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
9.560 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
9.560 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.560 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.560 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.560 * [taylor]: Taking taylor expansion of 1 in x
9.560 * [backup-simplify]: Simplify 1 into 1
9.560 * [taylor]: Taking taylor expansion of (exp x) in x
9.560 * [taylor]: Taking taylor expansion of x in x
9.560 * [backup-simplify]: Simplify 0 into 0
9.560 * [backup-simplify]: Simplify 1 into 1
9.560 * [backup-simplify]: Simplify (exp 0) into 1
9.560 * [backup-simplify]: Simplify (+ 1 1) into 2
9.560 * [backup-simplify]: Simplify (log 2) into (log 2)
9.560 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
9.560 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.560 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.560 * [taylor]: Taking taylor expansion of x in x
9.560 * [backup-simplify]: Simplify 0 into 0
9.561 * [backup-simplify]: Simplify 1 into 1
9.561 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.561 * [taylor]: Taking taylor expansion of y in x
9.561 * [backup-simplify]: Simplify y into y
9.561 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
9.561 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.561 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.561 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.561 * [taylor]: Taking taylor expansion of 1 in x
9.561 * [backup-simplify]: Simplify 1 into 1
9.561 * [taylor]: Taking taylor expansion of (exp x) in x
9.561 * [taylor]: Taking taylor expansion of x in x
9.561 * [backup-simplify]: Simplify 0 into 0
9.561 * [backup-simplify]: Simplify 1 into 1
9.561 * [backup-simplify]: Simplify (exp 0) into 1
9.561 * [backup-simplify]: Simplify (+ 1 1) into 2
9.561 * [backup-simplify]: Simplify (log 2) into (log 2)
9.561 * [taylor]: Taking taylor expansion of (* x y) in x
9.561 * [taylor]: Taking taylor expansion of x in x
9.561 * [backup-simplify]: Simplify 0 into 0
9.561 * [backup-simplify]: Simplify 1 into 1
9.561 * [taylor]: Taking taylor expansion of y in x
9.561 * [backup-simplify]: Simplify y into y
9.562 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
9.562 * [backup-simplify]: Simplify (* 0 y) into 0
9.562 * [backup-simplify]: Simplify (* (log 2) 0) into 0
9.563 * [backup-simplify]: Simplify (+ 0 0) into 0
9.564 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
9.564 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
9.565 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.565 * [backup-simplify]: Simplify (+ 0 1) into 1
9.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.568 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
9.568 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.569 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.569 * [backup-simplify]: Simplify (+ 0 1) into 1
9.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.570 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
9.571 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
9.571 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
9.573 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
9.573 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
9.573 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
9.573 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
9.573 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.573 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.573 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.573 * [taylor]: Taking taylor expansion of 1 in x
9.573 * [backup-simplify]: Simplify 1 into 1
9.573 * [taylor]: Taking taylor expansion of (exp x) in x
9.573 * [taylor]: Taking taylor expansion of x in x
9.573 * [backup-simplify]: Simplify 0 into 0
9.573 * [backup-simplify]: Simplify 1 into 1
9.573 * [backup-simplify]: Simplify (exp 0) into 1
9.573 * [backup-simplify]: Simplify (+ 1 1) into 2
9.574 * [backup-simplify]: Simplify (log 2) into (log 2)
9.574 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
9.574 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.574 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.574 * [taylor]: Taking taylor expansion of x in x
9.574 * [backup-simplify]: Simplify 0 into 0
9.574 * [backup-simplify]: Simplify 1 into 1
9.574 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.574 * [taylor]: Taking taylor expansion of y in x
9.574 * [backup-simplify]: Simplify y into y
9.574 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
9.574 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.574 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.574 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.574 * [taylor]: Taking taylor expansion of 1 in x
9.574 * [backup-simplify]: Simplify 1 into 1
9.574 * [taylor]: Taking taylor expansion of (exp x) in x
9.574 * [taylor]: Taking taylor expansion of x in x
9.574 * [backup-simplify]: Simplify 0 into 0
9.574 * [backup-simplify]: Simplify 1 into 1
9.574 * [backup-simplify]: Simplify (exp 0) into 1
9.574 * [backup-simplify]: Simplify (+ 1 1) into 2
9.574 * [backup-simplify]: Simplify (log 2) into (log 2)
9.574 * [taylor]: Taking taylor expansion of (* x y) in x
9.575 * [taylor]: Taking taylor expansion of x in x
9.575 * [backup-simplify]: Simplify 0 into 0
9.575 * [backup-simplify]: Simplify 1 into 1
9.575 * [taylor]: Taking taylor expansion of y in x
9.575 * [backup-simplify]: Simplify y into y
9.575 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
9.575 * [backup-simplify]: Simplify (* 0 y) into 0
9.576 * [backup-simplify]: Simplify (* (log 2) 0) into 0
9.576 * [backup-simplify]: Simplify (+ 0 0) into 0
9.577 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
9.578 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
9.578 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.579 * [backup-simplify]: Simplify (+ 0 1) into 1
9.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.581 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
9.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.582 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.582 * [backup-simplify]: Simplify (+ 0 1) into 1
9.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.583 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
9.584 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
9.584 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
9.586 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
9.586 * [taylor]: Taking taylor expansion of (log 2) in y
9.586 * [taylor]: Taking taylor expansion of 2 in y
9.586 * [backup-simplify]: Simplify 2 into 2
9.586 * [backup-simplify]: Simplify (log 2) into (log 2)
9.587 * [backup-simplify]: Simplify (log 2) into (log 2)
9.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) in y
9.587 * [taylor]: Taking taylor expansion of 1/2 in y
9.587 * [backup-simplify]: Simplify 1/2 into 1/2
9.587 * [taylor]: Taking taylor expansion of (/ (+ (log 2) (* (log 2) y)) (log 2)) in y
9.587 * [taylor]: Taking taylor expansion of (+ (log 2) (* (log 2) y)) in y
9.587 * [taylor]: Taking taylor expansion of (log 2) in y
9.587 * [taylor]: Taking taylor expansion of 2 in y
9.587 * [backup-simplify]: Simplify 2 into 2
9.587 * [backup-simplify]: Simplify (log 2) into (log 2)
9.587 * [taylor]: Taking taylor expansion of (* (log 2) y) in y
9.587 * [taylor]: Taking taylor expansion of (log 2) in y
9.587 * [taylor]: Taking taylor expansion of 2 in y
9.587 * [backup-simplify]: Simplify 2 into 2
9.588 * [backup-simplify]: Simplify (log 2) into (log 2)
9.588 * [taylor]: Taking taylor expansion of y in y
9.588 * [backup-simplify]: Simplify 0 into 0
9.588 * [backup-simplify]: Simplify 1 into 1
9.588 * [taylor]: Taking taylor expansion of (log 2) in y
9.588 * [taylor]: Taking taylor expansion of 2 in y
9.588 * [backup-simplify]: Simplify 2 into 2
9.588 * [backup-simplify]: Simplify (log 2) into (log 2)
9.589 * [backup-simplify]: Simplify (* (log 2) 0) into 0
9.590 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
9.591 * [backup-simplify]: Simplify (/ (log 2) (log 2)) into 1
9.592 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.592 * [backup-simplify]: Simplify 1/2 into 1/2
9.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
9.594 * [backup-simplify]: Simplify 0 into 0
9.596 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
9.596 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
9.599 * [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
9.606 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
9.607 * [backup-simplify]: Simplify (* 1 1) into 1
9.607 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.607 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
9.609 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
9.610 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
9.612 * [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
9.614 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 1/2 y) (* 1/8 0))) into (* 1/2 y)
9.614 * [backup-simplify]: Simplify (+ (pow y 2) (* 1/2 y)) into (+ (pow y 2) (* 1/2 y))
9.615 * [backup-simplify]: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (+ (pow y 2) (* 1/2 y))) into (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4)))
9.619 * [backup-simplify]: Simplify (/ (- (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4))) (pow (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) 2) (+)) (* 2 (log 2))) into (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)))
9.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2))) in y
9.619 * [taylor]: Taking taylor expansion of 1/2 in y
9.619 * [backup-simplify]: Simplify 1/2 into 1/2
9.619 * [taylor]: Taking taylor expansion of (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)) in y
9.619 * [taylor]: Taking taylor expansion of (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) in y
9.619 * [taylor]: Taking taylor expansion of (* 1/4 (log 2)) in y
9.619 * [taylor]: Taking taylor expansion of 1/4 in y
9.619 * [backup-simplify]: Simplify 1/4 into 1/4
9.619 * [taylor]: Taking taylor expansion of (log 2) in y
9.619 * [taylor]: Taking taylor expansion of 2 in y
9.619 * [backup-simplify]: Simplify 2 into 2
9.620 * [backup-simplify]: Simplify (log 2) into (log 2)
9.620 * [taylor]: Taking taylor expansion of (* 3/4 (pow y 2)) in y
9.620 * [taylor]: Taking taylor expansion of 3/4 in y
9.620 * [backup-simplify]: Simplify 3/4 into 3/4
9.620 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.620 * [taylor]: Taking taylor expansion of y in y
9.620 * [backup-simplify]: Simplify 0 into 0
9.620 * [backup-simplify]: Simplify 1 into 1
9.620 * [taylor]: Taking taylor expansion of (log 2) in y
9.620 * [taylor]: Taking taylor expansion of 2 in y
9.620 * [backup-simplify]: Simplify 2 into 2
9.620 * [backup-simplify]: Simplify (log 2) into (log 2)
9.621 * [backup-simplify]: Simplify (* 1/4 (log 2)) into (* 1/4 (log 2))
9.623 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 0) into (* 1/4 (log 2))
9.625 * [backup-simplify]: Simplify (/ (* 1/4 (log 2)) (log 2)) into 1/4
9.625 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8
9.625 * [backup-simplify]: Simplify 1/8 into 1/8
9.626 * [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))))
9.626 * [backup-simplify]: Simplify (sqrt (+ (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (+ (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))))
9.627 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in (x y) around 0
9.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in y
9.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in y
9.627 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
9.627 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
9.627 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.627 * [taylor]: Taking taylor expansion of x in y
9.627 * [backup-simplify]: Simplify x into x
9.627 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.627 * [taylor]: Taking taylor expansion of y in y
9.627 * [backup-simplify]: Simplify 0 into 0
9.627 * [backup-simplify]: Simplify 1 into 1
9.627 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.627 * [backup-simplify]: Simplify (* 1 1) into 1
9.627 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
9.628 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.628 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in y
9.628 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in y
9.628 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
9.628 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.628 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
9.628 * [taylor]: Taking taylor expansion of 1 in y
9.628 * [backup-simplify]: Simplify 1 into 1
9.628 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.628 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.628 * [taylor]: Taking taylor expansion of x in y
9.628 * [backup-simplify]: Simplify x into x
9.628 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.628 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.628 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.628 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.628 * [taylor]: Taking taylor expansion of (* x y) in y
9.628 * [taylor]: Taking taylor expansion of x in y
9.628 * [backup-simplify]: Simplify x into x
9.628 * [taylor]: Taking taylor expansion of y in y
9.628 * [backup-simplify]: Simplify 0 into 0
9.628 * [backup-simplify]: Simplify 1 into 1
9.628 * [backup-simplify]: Simplify (* x 0) into 0
9.629 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
9.629 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) x) into (/ (log (+ (exp (/ 1 x)) 1)) x)
9.629 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
9.629 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
9.629 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.629 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
9.629 * [taylor]: Taking taylor expansion of 1 in y
9.629 * [backup-simplify]: Simplify 1 into 1
9.629 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.629 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.629 * [taylor]: Taking taylor expansion of x in y
9.629 * [backup-simplify]: Simplify x into x
9.629 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.629 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.630 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.630 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.630 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
9.630 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
9.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.631 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.631 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
9.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.632 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) x) 0) into (/ (log (+ (exp (/ 1 x)) 1)) x)
9.632 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) x)) into (/ (log (+ (exp (/ 1 x)) 1)) x)
9.632 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
9.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
9.632 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.632 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.632 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.632 * [taylor]: Taking taylor expansion of x in x
9.632 * [backup-simplify]: Simplify 0 into 0
9.632 * [backup-simplify]: Simplify 1 into 1
9.632 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.632 * [taylor]: Taking taylor expansion of y in x
9.632 * [backup-simplify]: Simplify y into y
9.633 * [backup-simplify]: Simplify (* 1 1) into 1
9.633 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.633 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.633 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.633 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
9.633 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
9.633 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.633 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.633 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.633 * [taylor]: Taking taylor expansion of 1 in x
9.633 * [backup-simplify]: Simplify 1 into 1
9.633 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.633 * [taylor]: Taking taylor expansion of x in x
9.633 * [backup-simplify]: Simplify 0 into 0
9.633 * [backup-simplify]: Simplify 1 into 1
9.634 * [backup-simplify]: Simplify (/ 1 1) into 1
9.634 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.634 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.634 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.634 * [taylor]: Taking taylor expansion of (* x y) in x
9.634 * [taylor]: Taking taylor expansion of x in x
9.634 * [backup-simplify]: Simplify 0 into 0
9.634 * [backup-simplify]: Simplify 1 into 1
9.634 * [taylor]: Taking taylor expansion of y in x
9.634 * [backup-simplify]: Simplify y into y
9.634 * [backup-simplify]: Simplify (* 0 y) into 0
9.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.635 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.635 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
9.635 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.635 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.635 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.635 * [taylor]: Taking taylor expansion of 1 in x
9.635 * [backup-simplify]: Simplify 1 into 1
9.635 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.635 * [taylor]: Taking taylor expansion of x in x
9.635 * [backup-simplify]: Simplify 0 into 0
9.635 * [backup-simplify]: Simplify 1 into 1
9.635 * [backup-simplify]: Simplify (/ 1 1) into 1
9.635 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.635 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.636 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.636 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.636 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.636 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.637 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.638 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.638 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
9.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
9.638 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.638 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.638 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.638 * [taylor]: Taking taylor expansion of x in x
9.638 * [backup-simplify]: Simplify 0 into 0
9.638 * [backup-simplify]: Simplify 1 into 1
9.638 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.638 * [taylor]: Taking taylor expansion of y in x
9.638 * [backup-simplify]: Simplify y into y
9.639 * [backup-simplify]: Simplify (* 1 1) into 1
9.639 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.639 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.639 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.639 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
9.639 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
9.639 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.639 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.639 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.639 * [taylor]: Taking taylor expansion of 1 in x
9.639 * [backup-simplify]: Simplify 1 into 1
9.639 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.639 * [taylor]: Taking taylor expansion of x in x
9.639 * [backup-simplify]: Simplify 0 into 0
9.639 * [backup-simplify]: Simplify 1 into 1
9.640 * [backup-simplify]: Simplify (/ 1 1) into 1
9.640 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.640 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.640 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.640 * [taylor]: Taking taylor expansion of (* x y) in x
9.640 * [taylor]: Taking taylor expansion of x in x
9.640 * [backup-simplify]: Simplify 0 into 0
9.640 * [backup-simplify]: Simplify 1 into 1
9.640 * [taylor]: Taking taylor expansion of y in x
9.640 * [backup-simplify]: Simplify y into y
9.640 * [backup-simplify]: Simplify (* 0 y) into 0
9.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.641 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.641 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
9.641 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.641 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.641 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.641 * [taylor]: Taking taylor expansion of 1 in x
9.641 * [backup-simplify]: Simplify 1 into 1
9.641 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.641 * [taylor]: Taking taylor expansion of x in x
9.641 * [backup-simplify]: Simplify 0 into 0
9.641 * [backup-simplify]: Simplify 1 into 1
9.641 * [backup-simplify]: Simplify (/ 1 1) into 1
9.641 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.642 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.642 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.642 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.642 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.642 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.644 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.644 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.644 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.644 * [taylor]: Taking taylor expansion of y in y
9.644 * [backup-simplify]: Simplify 0 into 0
9.644 * [backup-simplify]: Simplify 1 into 1
9.645 * [backup-simplify]: Simplify (/ 1 1) into 1
9.645 * [backup-simplify]: Simplify 1 into 1
9.645 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ 1 x)) 1))) in y
9.645 * [taylor]: Taking taylor expansion of 1/2 in y
9.645 * [backup-simplify]: Simplify 1/2 into 1/2
9.645 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.645 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.645 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.645 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.645 * [taylor]: Taking taylor expansion of x in y
9.645 * [backup-simplify]: Simplify x into x
9.645 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.645 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.645 * [taylor]: Taking taylor expansion of 1 in y
9.645 * [backup-simplify]: Simplify 1 into 1
9.645 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.645 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.646 * [backup-simplify]: Simplify 0 into 0
9.647 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
9.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.649 * [backup-simplify]: Simplify (+ 0 0) into 0
9.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
9.651 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)))) into 0
9.651 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.652 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.652 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.652 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ 1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ 1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)))
9.652 * [taylor]: Taking taylor expansion of (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) in y
9.653 * [taylor]: Taking taylor expansion of 3/8 in y
9.653 * [backup-simplify]: Simplify 3/8 into 3/8
9.653 * [taylor]: Taking taylor expansion of (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y
9.653 * [taylor]: Taking taylor expansion of y in y
9.653 * [backup-simplify]: Simplify 0 into 0
9.653 * [backup-simplify]: Simplify 1 into 1
9.653 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y
9.653 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.653 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.653 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.653 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.653 * [taylor]: Taking taylor expansion of x in y
9.653 * [backup-simplify]: Simplify x into x
9.653 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.653 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.653 * [taylor]: Taking taylor expansion of 1 in y
9.653 * [backup-simplify]: Simplify 1 into 1
9.653 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.653 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.653 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.654 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.655 * [backup-simplify]: Simplify 0 into 0
9.655 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
9.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.658 * [backup-simplify]: Simplify (+ 0 0) into 0
9.660 * [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
9.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
9.662 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.662 * [backup-simplify]: Simplify (+ 0 0) into 0
9.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.663 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.663 * [backup-simplify]: Simplify (+ 0 0) into 0
9.664 * [backup-simplify]: Simplify (+ 0 0) into 0
9.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)))
9.664 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))) in y
9.665 * [taylor]: Taking taylor expansion of -3/16 in y
9.665 * [backup-simplify]: Simplify -3/16 into -3/16
9.665 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)) in y
9.665 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.665 * [taylor]: Taking taylor expansion of y in y
9.665 * [backup-simplify]: Simplify 0 into 0
9.665 * [backup-simplify]: Simplify 1 into 1
9.665 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 3) in y
9.665 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.665 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.665 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.665 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.665 * [taylor]: Taking taylor expansion of x in y
9.665 * [backup-simplify]: Simplify x into x
9.665 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.665 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.665 * [taylor]: Taking taylor expansion of 1 in y
9.665 * [backup-simplify]: Simplify 1 into 1
9.665 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.665 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.665 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.666 * [backup-simplify]: Simplify (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into 0
9.666 * [backup-simplify]: Simplify (* 3/8 0) into 0
9.666 * [backup-simplify]: Simplify 0 into 0
9.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
9.667 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.668 * [backup-simplify]: Simplify (+ 0 0) into 0
9.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.669 * [backup-simplify]: Simplify 0 into 0
9.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.670 * [backup-simplify]: Simplify 0 into 0
9.671 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
9.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.675 * [backup-simplify]: Simplify (+ 0 0) into 0
9.678 * [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
9.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.679 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.680 * [backup-simplify]: Simplify (+ 0 0) into 0
9.682 * [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
9.682 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
9.683 * [backup-simplify]: Simplify (+ 0 0) into 0
9.683 * [backup-simplify]: Simplify (+ 0 0) into 0
9.684 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)))
9.684 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4))) in y
9.684 * [taylor]: Taking taylor expansion of 3/128 in y
9.684 * [backup-simplify]: Simplify 3/128 into 3/128
9.684 * [taylor]: Taking taylor expansion of (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)) in y
9.684 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.684 * [taylor]: Taking taylor expansion of y in y
9.684 * [backup-simplify]: Simplify 0 into 0
9.684 * [backup-simplify]: Simplify 1 into 1
9.684 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 4) in y
9.684 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.684 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.684 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.684 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.684 * [taylor]: Taking taylor expansion of x in y
9.685 * [backup-simplify]: Simplify x into x
9.685 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.685 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.685 * [taylor]: Taking taylor expansion of 1 in y
9.685 * [backup-simplify]: Simplify 1 into 1
9.685 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.685 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
9.686 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.686 * [backup-simplify]: Simplify (+ 0 0) into 0
9.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.687 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.688 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.688 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
9.688 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
9.688 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2)) (* (/ 1 y) (/ 1 x))) (+ (* 1/2 (log (+ (exp (/ 1 (/ 1 x))) 1))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
9.689 * [backup-simplify]: Simplify (sqrt (+ (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (+ (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))))
9.689 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in (x y) around 0
9.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in y
9.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in y
9.689 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
9.689 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
9.689 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.689 * [taylor]: Taking taylor expansion of x in y
9.689 * [backup-simplify]: Simplify x into x
9.689 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.689 * [taylor]: Taking taylor expansion of y in y
9.689 * [backup-simplify]: Simplify 0 into 0
9.689 * [backup-simplify]: Simplify 1 into 1
9.689 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.689 * [backup-simplify]: Simplify (* 1 1) into 1
9.689 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
9.689 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.690 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in y
9.690 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
9.690 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
9.690 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.690 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
9.690 * [taylor]: Taking taylor expansion of 1 in y
9.690 * [backup-simplify]: Simplify 1 into 1
9.690 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.690 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.690 * [taylor]: Taking taylor expansion of -1 in y
9.690 * [backup-simplify]: Simplify -1 into -1
9.690 * [taylor]: Taking taylor expansion of x in y
9.690 * [backup-simplify]: Simplify x into x
9.690 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.690 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.690 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.690 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.690 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in y
9.690 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
9.690 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.690 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
9.690 * [taylor]: Taking taylor expansion of 1 in y
9.690 * [backup-simplify]: Simplify 1 into 1
9.690 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.690 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.690 * [taylor]: Taking taylor expansion of -1 in y
9.690 * [backup-simplify]: Simplify -1 into -1
9.690 * [taylor]: Taking taylor expansion of x in y
9.690 * [backup-simplify]: Simplify x into x
9.690 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.690 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.690 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.690 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.690 * [taylor]: Taking taylor expansion of (* x y) in y
9.690 * [taylor]: Taking taylor expansion of x in y
9.690 * [backup-simplify]: Simplify x into x
9.690 * [taylor]: Taking taylor expansion of y in y
9.690 * [backup-simplify]: Simplify 0 into 0
9.690 * [backup-simplify]: Simplify 1 into 1
9.690 * [backup-simplify]: Simplify (* x 0) into 0
9.691 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
9.691 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) x) into (/ (log (+ (exp (/ -1 x)) 1)) x)
9.691 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
9.691 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
9.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.691 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.692 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
9.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.692 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
9.692 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
9.692 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
9.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
9.692 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.692 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.692 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.692 * [taylor]: Taking taylor expansion of x in x
9.692 * [backup-simplify]: Simplify 0 into 0
9.692 * [backup-simplify]: Simplify 1 into 1
9.692 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.692 * [taylor]: Taking taylor expansion of y in x
9.692 * [backup-simplify]: Simplify y into y
9.693 * [backup-simplify]: Simplify (* 1 1) into 1
9.693 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.693 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.693 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.693 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
9.693 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
9.693 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.693 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.693 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.693 * [taylor]: Taking taylor expansion of 1 in x
9.693 * [backup-simplify]: Simplify 1 into 1
9.693 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.693 * [taylor]: Taking taylor expansion of -1 in x
9.693 * [backup-simplify]: Simplify -1 into -1
9.693 * [taylor]: Taking taylor expansion of x in x
9.693 * [backup-simplify]: Simplify 0 into 0
9.693 * [backup-simplify]: Simplify 1 into 1
9.693 * [backup-simplify]: Simplify (/ -1 1) into -1
9.693 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.693 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.694 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.694 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
9.694 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.694 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.694 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.694 * [taylor]: Taking taylor expansion of 1 in x
9.694 * [backup-simplify]: Simplify 1 into 1
9.694 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.694 * [taylor]: Taking taylor expansion of -1 in x
9.694 * [backup-simplify]: Simplify -1 into -1
9.694 * [taylor]: Taking taylor expansion of x in x
9.694 * [backup-simplify]: Simplify 0 into 0
9.694 * [backup-simplify]: Simplify 1 into 1
9.694 * [backup-simplify]: Simplify (/ -1 1) into -1
9.694 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.694 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.694 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.694 * [taylor]: Taking taylor expansion of (* x y) in x
9.694 * [taylor]: Taking taylor expansion of x in x
9.694 * [backup-simplify]: Simplify 0 into 0
9.694 * [backup-simplify]: Simplify 1 into 1
9.694 * [taylor]: Taking taylor expansion of y in x
9.694 * [backup-simplify]: Simplify y into y
9.694 * [backup-simplify]: Simplify (* 0 y) into 0
9.695 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.695 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.695 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.695 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.695 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.696 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.696 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.696 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
9.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
9.696 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.696 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.696 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.696 * [taylor]: Taking taylor expansion of x in x
9.696 * [backup-simplify]: Simplify 0 into 0
9.696 * [backup-simplify]: Simplify 1 into 1
9.696 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.696 * [taylor]: Taking taylor expansion of y in x
9.696 * [backup-simplify]: Simplify y into y
9.696 * [backup-simplify]: Simplify (* 1 1) into 1
9.696 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.696 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.697 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.697 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
9.697 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
9.697 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.697 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.697 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.697 * [taylor]: Taking taylor expansion of 1 in x
9.697 * [backup-simplify]: Simplify 1 into 1
9.697 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.697 * [taylor]: Taking taylor expansion of -1 in x
9.697 * [backup-simplify]: Simplify -1 into -1
9.697 * [taylor]: Taking taylor expansion of x in x
9.697 * [backup-simplify]: Simplify 0 into 0
9.697 * [backup-simplify]: Simplify 1 into 1
9.697 * [backup-simplify]: Simplify (/ -1 1) into -1
9.697 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.697 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.697 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.697 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
9.697 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.697 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.697 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.697 * [taylor]: Taking taylor expansion of 1 in x
9.697 * [backup-simplify]: Simplify 1 into 1
9.697 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.697 * [taylor]: Taking taylor expansion of -1 in x
9.697 * [backup-simplify]: Simplify -1 into -1
9.697 * [taylor]: Taking taylor expansion of x in x
9.697 * [backup-simplify]: Simplify 0 into 0
9.697 * [backup-simplify]: Simplify 1 into 1
9.698 * [backup-simplify]: Simplify (/ -1 1) into -1
9.698 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.698 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.698 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.698 * [taylor]: Taking taylor expansion of (* x y) in x
9.698 * [taylor]: Taking taylor expansion of x in x
9.698 * [backup-simplify]: Simplify 0 into 0
9.698 * [backup-simplify]: Simplify 1 into 1
9.698 * [taylor]: Taking taylor expansion of y in x
9.698 * [backup-simplify]: Simplify y into y
9.698 * [backup-simplify]: Simplify (* 0 y) into 0
9.698 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.698 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.698 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.699 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.699 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.699 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.700 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.700 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.700 * [taylor]: Taking taylor expansion of y in y
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify 1 into 1
9.700 * [backup-simplify]: Simplify (/ 1 1) into 1
9.700 * [backup-simplify]: Simplify 1 into 1
9.700 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ -1 x)) 1))) in y
9.700 * [taylor]: Taking taylor expansion of 1/2 in y
9.700 * [backup-simplify]: Simplify 1/2 into 1/2
9.700 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.700 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.700 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.700 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.700 * [taylor]: Taking taylor expansion of -1 in y
9.700 * [backup-simplify]: Simplify -1 into -1
9.700 * [taylor]: Taking taylor expansion of x in y
9.700 * [backup-simplify]: Simplify x into x
9.700 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.700 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.700 * [taylor]: Taking taylor expansion of 1 in y
9.700 * [backup-simplify]: Simplify 1 into 1
9.700 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.701 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.701 * [backup-simplify]: Simplify 0 into 0
9.701 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
9.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.703 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.703 * [backup-simplify]: Simplify (+ 0 0) into 0
9.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
9.704 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)))) into 0
9.704 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.704 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.705 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ -1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y))
9.705 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) in y
9.705 * [taylor]: Taking taylor expansion of 3/8 in y
9.705 * [backup-simplify]: Simplify 3/8 into 3/8
9.705 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y) in y
9.705 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y
9.705 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.705 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.705 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.705 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.705 * [taylor]: Taking taylor expansion of -1 in y
9.705 * [backup-simplify]: Simplify -1 into -1
9.705 * [taylor]: Taking taylor expansion of x in y
9.705 * [backup-simplify]: Simplify x into x
9.705 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.705 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.705 * [taylor]: Taking taylor expansion of 1 in y
9.705 * [backup-simplify]: Simplify 1 into 1
9.705 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.705 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.705 * [taylor]: Taking taylor expansion of y in y
9.705 * [backup-simplify]: Simplify 0 into 0
9.705 * [backup-simplify]: Simplify 1 into 1
9.706 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.706 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.706 * [backup-simplify]: Simplify 0 into 0
9.707 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
9.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.709 * [backup-simplify]: Simplify (+ 0 0) into 0
9.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.709 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.710 * [backup-simplify]: Simplify (+ 0 0) into 0
9.711 * [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
9.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
9.711 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.712 * [backup-simplify]: Simplify (+ 0 0) into 0
9.712 * [backup-simplify]: Simplify (+ 0 0) into 0
9.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)))
9.712 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))) in y
9.712 * [taylor]: Taking taylor expansion of -3/16 in y
9.712 * [backup-simplify]: Simplify -3/16 into -3/16
9.712 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)) in y
9.712 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 3) in y
9.712 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.712 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.712 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.712 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.713 * [taylor]: Taking taylor expansion of -1 in y
9.713 * [backup-simplify]: Simplify -1 into -1
9.713 * [taylor]: Taking taylor expansion of x in y
9.713 * [backup-simplify]: Simplify x into x
9.713 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.713 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.713 * [taylor]: Taking taylor expansion of 1 in y
9.713 * [backup-simplify]: Simplify 1 into 1
9.713 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.713 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.713 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.713 * [taylor]: Taking taylor expansion of y in y
9.713 * [backup-simplify]: Simplify 0 into 0
9.713 * [backup-simplify]: Simplify 1 into 1
9.713 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.713 * [backup-simplify]: Simplify (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into 0
9.713 * [backup-simplify]: Simplify (* 3/8 0) into 0
9.713 * [backup-simplify]: Simplify 0 into 0
9.713 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.714 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.714 * [backup-simplify]: Simplify (+ 0 0) into 0
9.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.715 * [backup-simplify]: Simplify 0 into 0
9.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.716 * [backup-simplify]: Simplify 0 into 0
9.716 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
9.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.718 * [backup-simplify]: Simplify (+ 0 0) into 0
9.720 * [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
9.720 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
9.721 * [backup-simplify]: Simplify (+ 0 0) into 0
9.724 * [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
9.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.726 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.726 * [backup-simplify]: Simplify (+ 0 0) into 0
9.726 * [backup-simplify]: Simplify (+ 0 0) into 0
9.727 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)))
9.728 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3))) in y
9.728 * [taylor]: Taking taylor expansion of 3/128 in y
9.728 * [backup-simplify]: Simplify 3/128 into 3/128
9.728 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)) in y
9.728 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 4) in y
9.728 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.728 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.728 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.728 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.728 * [taylor]: Taking taylor expansion of -1 in y
9.728 * [backup-simplify]: Simplify -1 into -1
9.728 * [taylor]: Taking taylor expansion of x in y
9.728 * [backup-simplify]: Simplify x into x
9.728 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.728 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.728 * [taylor]: Taking taylor expansion of 1 in y
9.728 * [backup-simplify]: Simplify 1 into 1
9.728 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.728 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.729 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.729 * [taylor]: Taking taylor expansion of y in y
9.729 * [backup-simplify]: Simplify 0 into 0
9.729 * [backup-simplify]: Simplify 1 into 1
9.729 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.730 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.730 * [backup-simplify]: Simplify (+ 0 0) into 0
9.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.734 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.735 * [backup-simplify]: Simplify (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 1) (* 0 0)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.736 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
9.736 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
9.737 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2)) (* (/ 1 (- y)) (/ 1 (- x)))) (+ (* 1/2 (log (+ (exp (/ -1 (/ 1 (- x)))) 1))) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
9.737 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
9.737 * [backup-simplify]: Simplify (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) into (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))))
9.737 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in (x y) around 0
9.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in y
9.737 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in y
9.737 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
9.737 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
9.738 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.738 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
9.738 * [taylor]: Taking taylor expansion of 1 in y
9.738 * [backup-simplify]: Simplify 1 into 1
9.738 * [taylor]: Taking taylor expansion of (exp x) in y
9.738 * [taylor]: Taking taylor expansion of x in y
9.738 * [backup-simplify]: Simplify x into x
9.738 * [backup-simplify]: Simplify (exp x) into (exp x)
9.738 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
9.738 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
9.738 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in y
9.738 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
9.738 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.738 * [taylor]: Taking taylor expansion of x in y
9.738 * [backup-simplify]: Simplify x into x
9.738 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.738 * [taylor]: Taking taylor expansion of y in y
9.738 * [backup-simplify]: Simplify 0 into 0
9.738 * [backup-simplify]: Simplify 1 into 1
9.738 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in y
9.738 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
9.738 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.738 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
9.738 * [taylor]: Taking taylor expansion of 1 in y
9.738 * [backup-simplify]: Simplify 1 into 1
9.738 * [taylor]: Taking taylor expansion of (exp x) in y
9.738 * [taylor]: Taking taylor expansion of x in y
9.738 * [backup-simplify]: Simplify x into x
9.738 * [backup-simplify]: Simplify (exp x) into (exp x)
9.739 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
9.739 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
9.739 * [taylor]: Taking taylor expansion of (* x y) in y
9.739 * [taylor]: Taking taylor expansion of x in y
9.739 * [backup-simplify]: Simplify x into x
9.739 * [taylor]: Taking taylor expansion of y in y
9.739 * [backup-simplify]: Simplify 0 into 0
9.739 * [backup-simplify]: Simplify 1 into 1
9.739 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
9.739 * [backup-simplify]: Simplify (* x 0) into 0
9.739 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) 0) into 0
9.740 * [backup-simplify]: Simplify (+ 0 0) into 0
9.740 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2)
9.740 * [backup-simplify]: Simplify (sqrt (pow (log (+ (exp x) 1)) 2)) into (log (+ (exp x) 1))
9.741 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
9.741 * [backup-simplify]: Simplify (+ 0 0) into 0
9.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
9.743 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) 0) (* 0 (log (+ (exp x) 1)))) into 0
9.743 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
9.744 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
9.744 * [backup-simplify]: Simplify (+ 0 0) into 0
9.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
9.746 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) x) (* 0 0)) into (* x (log (+ (exp x) 1)))
9.746 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
9.746 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
9.746 * [backup-simplify]: Simplify (/ (* x (log (+ (exp x) 1))) (* 2 (sqrt (pow (log (+ (exp x) 1)) 2)))) into (* 1/2 x)
9.746 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
9.746 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
9.746 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
9.746 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.747 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.747 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.747 * [taylor]: Taking taylor expansion of 1 in x
9.747 * [backup-simplify]: Simplify 1 into 1
9.747 * [taylor]: Taking taylor expansion of (exp x) in x
9.747 * [taylor]: Taking taylor expansion of x in x
9.747 * [backup-simplify]: Simplify 0 into 0
9.747 * [backup-simplify]: Simplify 1 into 1
9.747 * [backup-simplify]: Simplify (exp 0) into 1
9.747 * [backup-simplify]: Simplify (+ 1 1) into 2
9.748 * [backup-simplify]: Simplify (log 2) into (log 2)
9.748 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
9.748 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.748 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.748 * [taylor]: Taking taylor expansion of x in x
9.748 * [backup-simplify]: Simplify 0 into 0
9.748 * [backup-simplify]: Simplify 1 into 1
9.748 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.748 * [taylor]: Taking taylor expansion of y in x
9.748 * [backup-simplify]: Simplify y into y
9.748 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
9.748 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.748 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.748 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.748 * [taylor]: Taking taylor expansion of 1 in x
9.748 * [backup-simplify]: Simplify 1 into 1
9.748 * [taylor]: Taking taylor expansion of (exp x) in x
9.748 * [taylor]: Taking taylor expansion of x in x
9.748 * [backup-simplify]: Simplify 0 into 0
9.748 * [backup-simplify]: Simplify 1 into 1
9.748 * [backup-simplify]: Simplify (exp 0) into 1
9.749 * [backup-simplify]: Simplify (+ 1 1) into 2
9.749 * [backup-simplify]: Simplify (log 2) into (log 2)
9.749 * [taylor]: Taking taylor expansion of (* x y) in x
9.749 * [taylor]: Taking taylor expansion of x in x
9.749 * [backup-simplify]: Simplify 0 into 0
9.749 * [backup-simplify]: Simplify 1 into 1
9.749 * [taylor]: Taking taylor expansion of y in x
9.749 * [backup-simplify]: Simplify y into y
9.751 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
9.751 * [backup-simplify]: Simplify (* 0 y) into 0
9.751 * [backup-simplify]: Simplify (* (log 2) 0) into 0
9.752 * [backup-simplify]: Simplify (+ 0 0) into 0
9.754 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
9.756 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
9.757 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.757 * [backup-simplify]: Simplify (+ 0 1) into 1
9.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.762 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
9.762 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.763 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.764 * [backup-simplify]: Simplify (+ 0 1) into 1
9.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.766 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
9.767 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
9.767 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
9.770 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
9.770 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
9.770 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
9.771 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
9.771 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.771 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.771 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.771 * [taylor]: Taking taylor expansion of 1 in x
9.771 * [backup-simplify]: Simplify 1 into 1
9.771 * [taylor]: Taking taylor expansion of (exp x) in x
9.771 * [taylor]: Taking taylor expansion of x in x
9.771 * [backup-simplify]: Simplify 0 into 0
9.771 * [backup-simplify]: Simplify 1 into 1
9.771 * [backup-simplify]: Simplify (exp 0) into 1
9.771 * [backup-simplify]: Simplify (+ 1 1) into 2
9.772 * [backup-simplify]: Simplify (log 2) into (log 2)
9.772 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
9.772 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.772 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.772 * [taylor]: Taking taylor expansion of x in x
9.772 * [backup-simplify]: Simplify 0 into 0
9.772 * [backup-simplify]: Simplify 1 into 1
9.772 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.772 * [taylor]: Taking taylor expansion of y in x
9.772 * [backup-simplify]: Simplify y into y
9.772 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
9.772 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.772 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.772 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.772 * [taylor]: Taking taylor expansion of 1 in x
9.772 * [backup-simplify]: Simplify 1 into 1
9.772 * [taylor]: Taking taylor expansion of (exp x) in x
9.772 * [taylor]: Taking taylor expansion of x in x
9.772 * [backup-simplify]: Simplify 0 into 0
9.772 * [backup-simplify]: Simplify 1 into 1
9.772 * [backup-simplify]: Simplify (exp 0) into 1
9.773 * [backup-simplify]: Simplify (+ 1 1) into 2
9.773 * [backup-simplify]: Simplify (log 2) into (log 2)
9.773 * [taylor]: Taking taylor expansion of (* x y) in x
9.773 * [taylor]: Taking taylor expansion of x in x
9.773 * [backup-simplify]: Simplify 0 into 0
9.773 * [backup-simplify]: Simplify 1 into 1
9.773 * [taylor]: Taking taylor expansion of y in x
9.773 * [backup-simplify]: Simplify y into y
9.775 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
9.775 * [backup-simplify]: Simplify (* 0 y) into 0
9.775 * [backup-simplify]: Simplify (* (log 2) 0) into 0
9.776 * [backup-simplify]: Simplify (+ 0 0) into 0
9.777 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
9.779 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
9.780 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.780 * [backup-simplify]: Simplify (+ 0 1) into 1
9.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.784 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
9.785 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.786 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.786 * [backup-simplify]: Simplify (+ 0 1) into 1
9.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.788 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
9.789 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
9.789 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
9.792 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
9.792 * [taylor]: Taking taylor expansion of (log 2) in y
9.792 * [taylor]: Taking taylor expansion of 2 in y
9.792 * [backup-simplify]: Simplify 2 into 2
9.792 * [backup-simplify]: Simplify (log 2) into (log 2)
9.792 * [backup-simplify]: Simplify (log 2) into (log 2)
9.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) in y
9.792 * [taylor]: Taking taylor expansion of 1/2 in y
9.793 * [backup-simplify]: Simplify 1/2 into 1/2
9.793 * [taylor]: Taking taylor expansion of (/ (+ (log 2) (* (log 2) y)) (log 2)) in y
9.793 * [taylor]: Taking taylor expansion of (+ (log 2) (* (log 2) y)) in y
9.793 * [taylor]: Taking taylor expansion of (log 2) in y
9.793 * [taylor]: Taking taylor expansion of 2 in y
9.793 * [backup-simplify]: Simplify 2 into 2
9.793 * [backup-simplify]: Simplify (log 2) into (log 2)
9.793 * [taylor]: Taking taylor expansion of (* (log 2) y) in y
9.793 * [taylor]: Taking taylor expansion of (log 2) in y
9.793 * [taylor]: Taking taylor expansion of 2 in y
9.793 * [backup-simplify]: Simplify 2 into 2
9.793 * [backup-simplify]: Simplify (log 2) into (log 2)
9.793 * [taylor]: Taking taylor expansion of y in y
9.793 * [backup-simplify]: Simplify 0 into 0
9.793 * [backup-simplify]: Simplify 1 into 1
9.793 * [taylor]: Taking taylor expansion of (log 2) in y
9.793 * [taylor]: Taking taylor expansion of 2 in y
9.793 * [backup-simplify]: Simplify 2 into 2
9.794 * [backup-simplify]: Simplify (log 2) into (log 2)
9.794 * [backup-simplify]: Simplify (* (log 2) 0) into 0
9.794 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
9.795 * [backup-simplify]: Simplify (/ (log 2) (log 2)) into 1
9.795 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.795 * [backup-simplify]: Simplify 1/2 into 1/2
9.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
9.796 * [backup-simplify]: Simplify 0 into 0
9.797 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
9.797 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
9.799 * [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
9.801 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
9.802 * [backup-simplify]: Simplify (* 1 1) into 1
9.802 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.802 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
9.803 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
9.803 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
9.805 * [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
9.806 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 1/2 y) (* 1/8 0))) into (* 1/2 y)
9.806 * [backup-simplify]: Simplify (+ (pow y 2) (* 1/2 y)) into (+ (pow y 2) (* 1/2 y))
9.807 * [backup-simplify]: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (+ (pow y 2) (* 1/2 y))) into (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4)))
9.809 * [backup-simplify]: Simplify (/ (- (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4))) (pow (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) 2) (+)) (* 2 (log 2))) into (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)))
9.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2))) in y
9.809 * [taylor]: Taking taylor expansion of 1/2 in y
9.809 * [backup-simplify]: Simplify 1/2 into 1/2
9.809 * [taylor]: Taking taylor expansion of (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)) in y
9.809 * [taylor]: Taking taylor expansion of (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) in y
9.809 * [taylor]: Taking taylor expansion of (* 1/4 (log 2)) in y
9.809 * [taylor]: Taking taylor expansion of 1/4 in y
9.809 * [backup-simplify]: Simplify 1/4 into 1/4
9.809 * [taylor]: Taking taylor expansion of (log 2) in y
9.809 * [taylor]: Taking taylor expansion of 2 in y
9.809 * [backup-simplify]: Simplify 2 into 2
9.810 * [backup-simplify]: Simplify (log 2) into (log 2)
9.810 * [taylor]: Taking taylor expansion of (* 3/4 (pow y 2)) in y
9.810 * [taylor]: Taking taylor expansion of 3/4 in y
9.810 * [backup-simplify]: Simplify 3/4 into 3/4
9.810 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.810 * [taylor]: Taking taylor expansion of y in y
9.810 * [backup-simplify]: Simplify 0 into 0
9.810 * [backup-simplify]: Simplify 1 into 1
9.810 * [taylor]: Taking taylor expansion of (log 2) in y
9.810 * [taylor]: Taking taylor expansion of 2 in y
9.810 * [backup-simplify]: Simplify 2 into 2
9.810 * [backup-simplify]: Simplify (log 2) into (log 2)
9.811 * [backup-simplify]: Simplify (* 1/4 (log 2)) into (* 1/4 (log 2))
9.812 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 0) into (* 1/4 (log 2))
9.813 * [backup-simplify]: Simplify (/ (* 1/4 (log 2)) (log 2)) into 1/4
9.813 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8
9.813 * [backup-simplify]: Simplify 1/8 into 1/8
9.814 * [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))))
9.814 * [backup-simplify]: Simplify (sqrt (+ (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (+ (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))))
9.814 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in (x y) around 0
9.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in y
9.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in y
9.814 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
9.814 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
9.814 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.814 * [taylor]: Taking taylor expansion of x in y
9.814 * [backup-simplify]: Simplify x into x
9.814 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.814 * [taylor]: Taking taylor expansion of y in y
9.814 * [backup-simplify]: Simplify 0 into 0
9.814 * [backup-simplify]: Simplify 1 into 1
9.814 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.815 * [backup-simplify]: Simplify (* 1 1) into 1
9.815 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
9.815 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.815 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in y
9.815 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in y
9.815 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
9.815 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.815 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
9.815 * [taylor]: Taking taylor expansion of 1 in y
9.815 * [backup-simplify]: Simplify 1 into 1
9.815 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.815 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.815 * [taylor]: Taking taylor expansion of x in y
9.815 * [backup-simplify]: Simplify x into x
9.815 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.815 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.815 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.815 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.815 * [taylor]: Taking taylor expansion of (* x y) in y
9.815 * [taylor]: Taking taylor expansion of x in y
9.815 * [backup-simplify]: Simplify x into x
9.815 * [taylor]: Taking taylor expansion of y in y
9.815 * [backup-simplify]: Simplify 0 into 0
9.815 * [backup-simplify]: Simplify 1 into 1
9.815 * [backup-simplify]: Simplify (* x 0) into 0
9.815 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
9.816 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) x) into (/ (log (+ (exp (/ 1 x)) 1)) x)
9.816 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
9.816 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
9.816 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.816 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
9.816 * [taylor]: Taking taylor expansion of 1 in y
9.816 * [backup-simplify]: Simplify 1 into 1
9.816 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.816 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.816 * [taylor]: Taking taylor expansion of x in y
9.816 * [backup-simplify]: Simplify x into x
9.816 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.816 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.816 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.816 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.816 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
9.816 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
9.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.816 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.817 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
9.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.817 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) x) 0) into (/ (log (+ (exp (/ 1 x)) 1)) x)
9.817 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) x)) into (/ (log (+ (exp (/ 1 x)) 1)) x)
9.817 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
9.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
9.817 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.817 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.817 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.817 * [taylor]: Taking taylor expansion of x in x
9.817 * [backup-simplify]: Simplify 0 into 0
9.817 * [backup-simplify]: Simplify 1 into 1
9.817 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.817 * [taylor]: Taking taylor expansion of y in x
9.817 * [backup-simplify]: Simplify y into y
9.818 * [backup-simplify]: Simplify (* 1 1) into 1
9.818 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.818 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.818 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.818 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
9.818 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
9.818 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.818 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.818 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.818 * [taylor]: Taking taylor expansion of 1 in x
9.818 * [backup-simplify]: Simplify 1 into 1
9.818 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.818 * [taylor]: Taking taylor expansion of x in x
9.818 * [backup-simplify]: Simplify 0 into 0
9.818 * [backup-simplify]: Simplify 1 into 1
9.818 * [backup-simplify]: Simplify (/ 1 1) into 1
9.818 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.818 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.818 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.818 * [taylor]: Taking taylor expansion of (* x y) in x
9.819 * [taylor]: Taking taylor expansion of x in x
9.819 * [backup-simplify]: Simplify 0 into 0
9.819 * [backup-simplify]: Simplify 1 into 1
9.819 * [taylor]: Taking taylor expansion of y in x
9.819 * [backup-simplify]: Simplify y into y
9.819 * [backup-simplify]: Simplify (* 0 y) into 0
9.819 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.819 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.819 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
9.819 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.819 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.819 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.819 * [taylor]: Taking taylor expansion of 1 in x
9.819 * [backup-simplify]: Simplify 1 into 1
9.819 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.819 * [taylor]: Taking taylor expansion of x in x
9.819 * [backup-simplify]: Simplify 0 into 0
9.819 * [backup-simplify]: Simplify 1 into 1
9.820 * [backup-simplify]: Simplify (/ 1 1) into 1
9.820 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.820 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.820 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.820 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.820 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.820 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.821 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.821 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.821 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
9.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
9.821 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.821 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.821 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.821 * [taylor]: Taking taylor expansion of x in x
9.821 * [backup-simplify]: Simplify 0 into 0
9.821 * [backup-simplify]: Simplify 1 into 1
9.821 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.821 * [taylor]: Taking taylor expansion of y in x
9.821 * [backup-simplify]: Simplify y into y
9.822 * [backup-simplify]: Simplify (* 1 1) into 1
9.822 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.822 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.822 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.822 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
9.822 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
9.822 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.822 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.822 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.822 * [taylor]: Taking taylor expansion of 1 in x
9.822 * [backup-simplify]: Simplify 1 into 1
9.822 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.822 * [taylor]: Taking taylor expansion of x in x
9.822 * [backup-simplify]: Simplify 0 into 0
9.822 * [backup-simplify]: Simplify 1 into 1
9.822 * [backup-simplify]: Simplify (/ 1 1) into 1
9.822 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.822 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.822 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.822 * [taylor]: Taking taylor expansion of (* x y) in x
9.822 * [taylor]: Taking taylor expansion of x in x
9.822 * [backup-simplify]: Simplify 0 into 0
9.822 * [backup-simplify]: Simplify 1 into 1
9.822 * [taylor]: Taking taylor expansion of y in x
9.822 * [backup-simplify]: Simplify y into y
9.822 * [backup-simplify]: Simplify (* 0 y) into 0
9.823 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.823 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.823 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
9.823 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.823 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.823 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.823 * [taylor]: Taking taylor expansion of 1 in x
9.823 * [backup-simplify]: Simplify 1 into 1
9.823 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.823 * [taylor]: Taking taylor expansion of x in x
9.823 * [backup-simplify]: Simplify 0 into 0
9.823 * [backup-simplify]: Simplify 1 into 1
9.823 * [backup-simplify]: Simplify (/ 1 1) into 1
9.824 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.824 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.824 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.824 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.824 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.824 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.826 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.826 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
9.826 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.826 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.826 * [taylor]: Taking taylor expansion of y in y
9.826 * [backup-simplify]: Simplify 0 into 0
9.826 * [backup-simplify]: Simplify 1 into 1
9.827 * [backup-simplify]: Simplify (/ 1 1) into 1
9.827 * [backup-simplify]: Simplify 1 into 1
9.827 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ 1 x)) 1))) in y
9.827 * [taylor]: Taking taylor expansion of 1/2 in y
9.827 * [backup-simplify]: Simplify 1/2 into 1/2
9.827 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.827 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.827 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.827 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.827 * [taylor]: Taking taylor expansion of x in y
9.827 * [backup-simplify]: Simplify x into x
9.827 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.827 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.827 * [taylor]: Taking taylor expansion of 1 in y
9.827 * [backup-simplify]: Simplify 1 into 1
9.827 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.827 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.828 * [backup-simplify]: Simplify 0 into 0
9.829 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
9.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.831 * [backup-simplify]: Simplify (+ 0 0) into 0
9.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
9.833 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)))) into 0
9.833 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.834 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.834 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.834 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ 1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ 1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)))
9.835 * [taylor]: Taking taylor expansion of (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) in y
9.835 * [taylor]: Taking taylor expansion of 3/8 in y
9.835 * [backup-simplify]: Simplify 3/8 into 3/8
9.835 * [taylor]: Taking taylor expansion of (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y
9.835 * [taylor]: Taking taylor expansion of y in y
9.835 * [backup-simplify]: Simplify 0 into 0
9.835 * [backup-simplify]: Simplify 1 into 1
9.835 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y
9.835 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.835 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.835 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.835 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.835 * [taylor]: Taking taylor expansion of x in y
9.835 * [backup-simplify]: Simplify x into x
9.835 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.835 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.835 * [taylor]: Taking taylor expansion of 1 in y
9.835 * [backup-simplify]: Simplify 1 into 1
9.835 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.835 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.835 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.835 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
9.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.836 * [backup-simplify]: Simplify 0 into 0
9.836 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
9.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.838 * [backup-simplify]: Simplify (+ 0 0) into 0
9.839 * [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
9.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
9.840 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.840 * [backup-simplify]: Simplify (+ 0 0) into 0
9.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.841 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.841 * [backup-simplify]: Simplify (+ 0 0) into 0
9.841 * [backup-simplify]: Simplify (+ 0 0) into 0
9.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)))
9.842 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))) in y
9.842 * [taylor]: Taking taylor expansion of -3/16 in y
9.842 * [backup-simplify]: Simplify -3/16 into -3/16
9.842 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)) in y
9.842 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.842 * [taylor]: Taking taylor expansion of y in y
9.842 * [backup-simplify]: Simplify 0 into 0
9.842 * [backup-simplify]: Simplify 1 into 1
9.842 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 3) in y
9.842 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.842 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.842 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.842 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.842 * [taylor]: Taking taylor expansion of x in y
9.842 * [backup-simplify]: Simplify x into x
9.842 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.842 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.842 * [taylor]: Taking taylor expansion of 1 in y
9.842 * [backup-simplify]: Simplify 1 into 1
9.842 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.842 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.842 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.842 * [backup-simplify]: Simplify (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into 0
9.843 * [backup-simplify]: Simplify (* 3/8 0) into 0
9.843 * [backup-simplify]: Simplify 0 into 0
9.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
9.843 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.844 * [backup-simplify]: Simplify (+ 0 0) into 0
9.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.844 * [backup-simplify]: Simplify 0 into 0
9.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.845 * [backup-simplify]: Simplify 0 into 0
9.846 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
9.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.848 * [backup-simplify]: Simplify (+ 0 0) into 0
9.850 * [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
9.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.851 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.851 * [backup-simplify]: Simplify (+ 0 0) into 0
9.854 * [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
9.854 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
9.855 * [backup-simplify]: Simplify (+ 0 0) into 0
9.855 * [backup-simplify]: Simplify (+ 0 0) into 0
9.855 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)))
9.855 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4))) in y
9.855 * [taylor]: Taking taylor expansion of 3/128 in y
9.855 * [backup-simplify]: Simplify 3/128 into 3/128
9.855 * [taylor]: Taking taylor expansion of (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)) in y
9.855 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.855 * [taylor]: Taking taylor expansion of y in y
9.856 * [backup-simplify]: Simplify 0 into 0
9.856 * [backup-simplify]: Simplify 1 into 1
9.856 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 4) in y
9.856 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
9.856 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
9.856 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
9.856 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.856 * [taylor]: Taking taylor expansion of x in y
9.856 * [backup-simplify]: Simplify x into x
9.856 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.856 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.856 * [taylor]: Taking taylor expansion of 1 in y
9.856 * [backup-simplify]: Simplify 1 into 1
9.856 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
9.856 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
9.856 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.857 * [backup-simplify]: Simplify (+ 0 0) into 0
9.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.857 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.858 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
9.858 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
9.859 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2)) (* (/ 1 y) (/ 1 x))) (+ (* 1/2 (log (+ (exp (/ 1 (/ 1 x))) 1))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
9.859 * [backup-simplify]: Simplify (sqrt (+ (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (+ (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))))
9.859 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in (x y) around 0
9.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in y
9.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in y
9.859 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
9.859 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
9.859 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.859 * [taylor]: Taking taylor expansion of x in y
9.859 * [backup-simplify]: Simplify x into x
9.859 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.859 * [taylor]: Taking taylor expansion of y in y
9.859 * [backup-simplify]: Simplify 0 into 0
9.859 * [backup-simplify]: Simplify 1 into 1
9.859 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.859 * [backup-simplify]: Simplify (* 1 1) into 1
9.860 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
9.860 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.860 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in y
9.860 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
9.860 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
9.860 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.860 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
9.860 * [taylor]: Taking taylor expansion of 1 in y
9.860 * [backup-simplify]: Simplify 1 into 1
9.860 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.860 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.860 * [taylor]: Taking taylor expansion of -1 in y
9.860 * [backup-simplify]: Simplify -1 into -1
9.860 * [taylor]: Taking taylor expansion of x in y
9.860 * [backup-simplify]: Simplify x into x
9.860 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.860 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.860 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.860 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.860 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in y
9.860 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
9.860 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.860 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
9.860 * [taylor]: Taking taylor expansion of 1 in y
9.860 * [backup-simplify]: Simplify 1 into 1
9.860 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.860 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.860 * [taylor]: Taking taylor expansion of -1 in y
9.860 * [backup-simplify]: Simplify -1 into -1
9.860 * [taylor]: Taking taylor expansion of x in y
9.860 * [backup-simplify]: Simplify x into x
9.860 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.860 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.860 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.860 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.860 * [taylor]: Taking taylor expansion of (* x y) in y
9.860 * [taylor]: Taking taylor expansion of x in y
9.861 * [backup-simplify]: Simplify x into x
9.861 * [taylor]: Taking taylor expansion of y in y
9.861 * [backup-simplify]: Simplify 0 into 0
9.861 * [backup-simplify]: Simplify 1 into 1
9.861 * [backup-simplify]: Simplify (* x 0) into 0
9.861 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
9.861 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) x) into (/ (log (+ (exp (/ -1 x)) 1)) x)
9.861 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
9.861 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
9.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.862 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.862 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
9.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.862 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
9.862 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
9.862 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
9.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
9.862 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.862 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.862 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.862 * [taylor]: Taking taylor expansion of x in x
9.862 * [backup-simplify]: Simplify 0 into 0
9.862 * [backup-simplify]: Simplify 1 into 1
9.862 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.862 * [taylor]: Taking taylor expansion of y in x
9.862 * [backup-simplify]: Simplify y into y
9.863 * [backup-simplify]: Simplify (* 1 1) into 1
9.863 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.863 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.863 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.863 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
9.863 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
9.863 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.863 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.863 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.863 * [taylor]: Taking taylor expansion of 1 in x
9.863 * [backup-simplify]: Simplify 1 into 1
9.863 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.863 * [taylor]: Taking taylor expansion of -1 in x
9.863 * [backup-simplify]: Simplify -1 into -1
9.863 * [taylor]: Taking taylor expansion of x in x
9.863 * [backup-simplify]: Simplify 0 into 0
9.863 * [backup-simplify]: Simplify 1 into 1
9.863 * [backup-simplify]: Simplify (/ -1 1) into -1
9.863 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.864 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.864 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.864 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
9.864 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.864 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.864 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.864 * [taylor]: Taking taylor expansion of 1 in x
9.864 * [backup-simplify]: Simplify 1 into 1
9.864 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.864 * [taylor]: Taking taylor expansion of -1 in x
9.864 * [backup-simplify]: Simplify -1 into -1
9.864 * [taylor]: Taking taylor expansion of x in x
9.864 * [backup-simplify]: Simplify 0 into 0
9.864 * [backup-simplify]: Simplify 1 into 1
9.864 * [backup-simplify]: Simplify (/ -1 1) into -1
9.864 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.864 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.864 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.864 * [taylor]: Taking taylor expansion of (* x y) in x
9.864 * [taylor]: Taking taylor expansion of x in x
9.864 * [backup-simplify]: Simplify 0 into 0
9.864 * [backup-simplify]: Simplify 1 into 1
9.864 * [taylor]: Taking taylor expansion of y in x
9.864 * [backup-simplify]: Simplify y into y
9.864 * [backup-simplify]: Simplify (* 0 y) into 0
9.865 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.865 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.865 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.865 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.865 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.866 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.866 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.866 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
9.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
9.866 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.866 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.866 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.866 * [taylor]: Taking taylor expansion of x in x
9.866 * [backup-simplify]: Simplify 0 into 0
9.866 * [backup-simplify]: Simplify 1 into 1
9.866 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.866 * [taylor]: Taking taylor expansion of y in x
9.866 * [backup-simplify]: Simplify y into y
9.866 * [backup-simplify]: Simplify (* 1 1) into 1
9.867 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.867 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.867 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.867 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
9.867 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
9.867 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.867 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.867 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.867 * [taylor]: Taking taylor expansion of 1 in x
9.867 * [backup-simplify]: Simplify 1 into 1
9.867 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.867 * [taylor]: Taking taylor expansion of -1 in x
9.867 * [backup-simplify]: Simplify -1 into -1
9.867 * [taylor]: Taking taylor expansion of x in x
9.867 * [backup-simplify]: Simplify 0 into 0
9.867 * [backup-simplify]: Simplify 1 into 1
9.867 * [backup-simplify]: Simplify (/ -1 1) into -1
9.867 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.867 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.868 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.868 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
9.868 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.868 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.868 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.868 * [taylor]: Taking taylor expansion of 1 in x
9.868 * [backup-simplify]: Simplify 1 into 1
9.868 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.868 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.868 * [taylor]: Taking taylor expansion of -1 in x
9.868 * [backup-simplify]: Simplify -1 into -1
9.868 * [taylor]: Taking taylor expansion of x in x
9.868 * [backup-simplify]: Simplify 0 into 0
9.868 * [backup-simplify]: Simplify 1 into 1
9.868 * [backup-simplify]: Simplify (/ -1 1) into -1
9.868 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.869 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.869 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.869 * [taylor]: Taking taylor expansion of (* x y) in x
9.869 * [taylor]: Taking taylor expansion of x in x
9.869 * [backup-simplify]: Simplify 0 into 0
9.869 * [backup-simplify]: Simplify 1 into 1
9.869 * [taylor]: Taking taylor expansion of y in x
9.869 * [backup-simplify]: Simplify y into y
9.869 * [backup-simplify]: Simplify (* 0 y) into 0
9.869 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
9.870 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.870 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
9.870 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
9.870 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.872 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.872 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
9.872 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.872 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.872 * [taylor]: Taking taylor expansion of y in y
9.872 * [backup-simplify]: Simplify 0 into 0
9.872 * [backup-simplify]: Simplify 1 into 1
9.872 * [backup-simplify]: Simplify (/ 1 1) into 1
9.873 * [backup-simplify]: Simplify 1 into 1
9.873 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ -1 x)) 1))) in y
9.873 * [taylor]: Taking taylor expansion of 1/2 in y
9.873 * [backup-simplify]: Simplify 1/2 into 1/2
9.873 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.873 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.873 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.873 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.873 * [taylor]: Taking taylor expansion of -1 in y
9.873 * [backup-simplify]: Simplify -1 into -1
9.873 * [taylor]: Taking taylor expansion of x in y
9.873 * [backup-simplify]: Simplify x into x
9.873 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.873 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.873 * [taylor]: Taking taylor expansion of 1 in y
9.873 * [backup-simplify]: Simplify 1 into 1
9.873 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.873 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.874 * [backup-simplify]: Simplify 0 into 0
9.874 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
9.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.877 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.877 * [backup-simplify]: Simplify (+ 0 0) into 0
9.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
9.879 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)))) into 0
9.879 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.879 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.880 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ -1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y))
9.880 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) in y
9.880 * [taylor]: Taking taylor expansion of 3/8 in y
9.880 * [backup-simplify]: Simplify 3/8 into 3/8
9.880 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y) in y
9.880 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y
9.880 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.880 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.880 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.880 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.880 * [taylor]: Taking taylor expansion of -1 in y
9.880 * [backup-simplify]: Simplify -1 into -1
9.880 * [taylor]: Taking taylor expansion of x in y
9.880 * [backup-simplify]: Simplify x into x
9.880 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.880 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.880 * [taylor]: Taking taylor expansion of 1 in y
9.880 * [backup-simplify]: Simplify 1 into 1
9.880 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.880 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.880 * [taylor]: Taking taylor expansion of y in y
9.880 * [backup-simplify]: Simplify 0 into 0
9.880 * [backup-simplify]: Simplify 1 into 1
9.880 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.880 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
9.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.881 * [backup-simplify]: Simplify 0 into 0
9.881 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
9.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.883 * [backup-simplify]: Simplify (+ 0 0) into 0
9.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.884 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.884 * [backup-simplify]: Simplify (+ 0 0) into 0
9.885 * [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
9.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
9.886 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.886 * [backup-simplify]: Simplify (+ 0 0) into 0
9.887 * [backup-simplify]: Simplify (+ 0 0) into 0
9.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)))
9.887 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))) in y
9.887 * [taylor]: Taking taylor expansion of -3/16 in y
9.887 * [backup-simplify]: Simplify -3/16 into -3/16
9.887 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)) in y
9.887 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 3) in y
9.887 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.887 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.887 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.887 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.887 * [taylor]: Taking taylor expansion of -1 in y
9.887 * [backup-simplify]: Simplify -1 into -1
9.887 * [taylor]: Taking taylor expansion of x in y
9.887 * [backup-simplify]: Simplify x into x
9.887 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.887 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.887 * [taylor]: Taking taylor expansion of 1 in y
9.887 * [backup-simplify]: Simplify 1 into 1
9.887 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.887 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.887 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.887 * [taylor]: Taking taylor expansion of y in y
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [backup-simplify]: Simplify 1 into 1
9.888 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.888 * [backup-simplify]: Simplify (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into 0
9.888 * [backup-simplify]: Simplify (* 3/8 0) into 0
9.888 * [backup-simplify]: Simplify 0 into 0
9.888 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.889 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.889 * [backup-simplify]: Simplify (+ 0 0) into 0
9.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.890 * [backup-simplify]: Simplify 0 into 0
9.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.890 * [backup-simplify]: Simplify 0 into 0
9.891 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
9.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
9.893 * [backup-simplify]: Simplify (+ 0 0) into 0
9.894 * [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
9.894 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
9.895 * [backup-simplify]: Simplify (+ 0 0) into 0
9.896 * [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
9.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
9.897 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.898 * [backup-simplify]: Simplify (+ 0 0) into 0
9.898 * [backup-simplify]: Simplify (+ 0 0) into 0
9.898 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)))
9.898 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3))) in y
9.898 * [taylor]: Taking taylor expansion of 3/128 in y
9.898 * [backup-simplify]: Simplify 3/128 into 3/128
9.898 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)) in y
9.899 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 4) in y
9.899 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
9.899 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
9.899 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
9.899 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.899 * [taylor]: Taking taylor expansion of -1 in y
9.899 * [backup-simplify]: Simplify -1 into -1
9.899 * [taylor]: Taking taylor expansion of x in y
9.899 * [backup-simplify]: Simplify x into x
9.899 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.899 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.899 * [taylor]: Taking taylor expansion of 1 in y
9.899 * [backup-simplify]: Simplify 1 into 1
9.899 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
9.899 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.899 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.899 * [taylor]: Taking taylor expansion of y in y
9.899 * [backup-simplify]: Simplify 0 into 0
9.899 * [backup-simplify]: Simplify 1 into 1
9.899 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.900 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
9.900 * [backup-simplify]: Simplify (+ 0 0) into 0
9.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.900 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.901 * [backup-simplify]: Simplify (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 1) (* 0 0)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.901 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
9.901 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
9.902 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2)) (* (/ 1 (- y)) (/ 1 (- x)))) (+ (* 1/2 (log (+ (exp (/ -1 (/ 1 (- x)))) 1))) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
9.902 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1)
9.902 * [backup-simplify]: Simplify (* (log1p (exp x)) (log1p (exp x))) into (pow (log1p (exp x)) 2)
9.902 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 2) in (x) around 0
9.902 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
9.902 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.902 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.902 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.902 * [taylor]: Taking taylor expansion of 1 in x
9.902 * [backup-simplify]: Simplify 1 into 1
9.902 * [taylor]: Taking taylor expansion of (exp x) in x
9.902 * [taylor]: Taking taylor expansion of x in x
9.902 * [backup-simplify]: Simplify 0 into 0
9.902 * [backup-simplify]: Simplify 1 into 1
9.902 * [backup-simplify]: Simplify (exp 0) into 1
9.902 * [backup-simplify]: Simplify (+ 1 1) into 2
9.902 * [backup-simplify]: Simplify (log 2) into (log 2)
9.903 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
9.903 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
9.903 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
9.903 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
9.903 * [taylor]: Taking taylor expansion of 1 in x
9.903 * [backup-simplify]: Simplify 1 into 1
9.903 * [taylor]: Taking taylor expansion of (exp x) in x
9.903 * [taylor]: Taking taylor expansion of x in x
9.903 * [backup-simplify]: Simplify 0 into 0
9.903 * [backup-simplify]: Simplify 1 into 1
9.903 * [backup-simplify]: Simplify (exp 0) into 1
9.903 * [backup-simplify]: Simplify (+ 1 1) into 2
9.903 * [backup-simplify]: Simplify (log 2) into (log 2)
9.904 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
9.904 * [backup-simplify]: Simplify (pow (log 2) 2) into (pow (log 2) 2)
9.905 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
9.905 * [backup-simplify]: Simplify (+ 0 1) into 1
9.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
9.908 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
9.908 * [backup-simplify]: Simplify (log 2) into (log 2)
9.909 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
9.909 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
9.911 * [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
9.914 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
9.916 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4)
9.919 * [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))))
9.919 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 2)
9.919 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in (x) around 0
9.919 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
9.919 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.919 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.919 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.919 * [taylor]: Taking taylor expansion of 1 in x
9.919 * [backup-simplify]: Simplify 1 into 1
9.919 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.919 * [taylor]: Taking taylor expansion of x in x
9.919 * [backup-simplify]: Simplify 0 into 0
9.919 * [backup-simplify]: Simplify 1 into 1
9.920 * [backup-simplify]: Simplify (/ 1 1) into 1
9.920 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.920 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.920 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.920 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
9.920 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
9.920 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
9.920 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
9.920 * [taylor]: Taking taylor expansion of 1 in x
9.920 * [backup-simplify]: Simplify 1 into 1
9.920 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
9.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.920 * [taylor]: Taking taylor expansion of x in x
9.920 * [backup-simplify]: Simplify 0 into 0
9.920 * [backup-simplify]: Simplify 1 into 1
9.921 * [backup-simplify]: Simplify (/ 1 1) into 1
9.921 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
9.921 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
9.921 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
9.921 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.921 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 2) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
9.922 * [backup-simplify]: Simplify (+ 0 0) into 0
9.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
9.923 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
9.923 * [backup-simplify]: Simplify 0 into 0
9.923 * [backup-simplify]: Simplify (+ 0 0) into 0
9.925 * [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
9.925 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
9.925 * [backup-simplify]: Simplify 0 into 0
9.926 * [backup-simplify]: Simplify (+ 0 0) into 0
9.929 * [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
9.929 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0
9.929 * [backup-simplify]: Simplify 0 into 0
9.930 * [backup-simplify]: Simplify (+ 0 0) into 0
9.935 * [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
9.936 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0
9.936 * [backup-simplify]: Simplify 0 into 0
9.937 * [backup-simplify]: Simplify (+ 0 0) into 0
9.945 * [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
9.946 * [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
9.946 * [backup-simplify]: Simplify 0 into 0
9.947 * [backup-simplify]: Simplify (+ 0 0) into 0
9.959 * [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
9.961 * [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
9.961 * [backup-simplify]: Simplify 0 into 0
9.961 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
9.962 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 2)
9.962 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in (x) around 0
9.962 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
9.962 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.962 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.962 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.962 * [taylor]: Taking taylor expansion of 1 in x
9.962 * [backup-simplify]: Simplify 1 into 1
9.962 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.962 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.962 * [taylor]: Taking taylor expansion of -1 in x
9.962 * [backup-simplify]: Simplify -1 into -1
9.962 * [taylor]: Taking taylor expansion of x in x
9.962 * [backup-simplify]: Simplify 0 into 0
9.962 * [backup-simplify]: Simplify 1 into 1
9.963 * [backup-simplify]: Simplify (/ -1 1) into -1
9.963 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.963 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.963 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.963 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
9.963 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
9.963 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
9.963 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
9.963 * [taylor]: Taking taylor expansion of 1 in x
9.963 * [backup-simplify]: Simplify 1 into 1
9.963 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
9.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.963 * [taylor]: Taking taylor expansion of -1 in x
9.963 * [backup-simplify]: Simplify -1 into -1
9.963 * [taylor]: Taking taylor expansion of x in x
9.963 * [backup-simplify]: Simplify 0 into 0
9.963 * [backup-simplify]: Simplify 1 into 1
9.964 * [backup-simplify]: Simplify (/ -1 1) into -1
9.964 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
9.964 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
9.964 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
9.964 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.964 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 2) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
9.965 * [backup-simplify]: Simplify (+ 0 0) into 0
9.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
9.966 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
9.966 * [backup-simplify]: Simplify 0 into 0
9.966 * [backup-simplify]: Simplify (+ 0 0) into 0
9.968 * [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
9.968 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
9.968 * [backup-simplify]: Simplify 0 into 0
9.971 * [backup-simplify]: Simplify (+ 0 0) into 0
9.974 * [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
9.975 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0
9.975 * [backup-simplify]: Simplify 0 into 0
9.975 * [backup-simplify]: Simplify (+ 0 0) into 0
9.980 * [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
9.981 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0
9.981 * [backup-simplify]: Simplify 0 into 0
9.982 * [backup-simplify]: Simplify (+ 0 0) into 0
9.989 * [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
9.991 * [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
9.991 * [backup-simplify]: Simplify 0 into 0
9.991 * [backup-simplify]: Simplify (+ 0 0) into 0
10.003 * [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
10.005 * [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
10.006 * [backup-simplify]: Simplify 0 into 0
10.006 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
10.006 * * * [progress]: simplifying candidates
10.006 * * * * [progress]: [ 1 / 126 ] simplifiying candidate #<alt (λ (x y) (* (log1p (expm1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.006 * * * * [progress]: [ 2 / 126 ] simplifiying candidate #<alt (λ (x y) (* (expm1 (log1p (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.006 * * * * [progress]: [ 3 / 126 ] simplifiying candidate #<alt (λ (x y) (* (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- 1 1/2)) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.006 * * * * [progress]: [ 4 / 126 ] simplifiying candidate #<alt (λ (x y) (* (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- 1 (/ 1 2))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.006 * * * * [progress]: [ 5 / 126 ] simplifiying candidate #<alt (λ (x y) (* (pow (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) 1) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.006 * * * * [progress]: [ 6 / 126 ] simplifiying candidate #<alt (λ (x y) (* (exp (- (log (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (log (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.006 * * * * [progress]: [ 7 / 126 ] simplifiying candidate #<alt (λ (x y) (* (exp (log (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.007 * * * * [progress]: [ 8 / 126 ] simplifiying candidate #<alt (λ (x y) (* (log (exp (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.007 * * * * [progress]: [ 9 / 126 ] simplifiying candidate #<alt (λ (x y) (* (cbrt (/ (* (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.007 * * * * [progress]: [ 10 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (* (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.007 * * * * [progress]: [ 11 / 126 ] simplifiying candidate #<alt (λ (x y) (* (cbrt (* (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.007 * * * * [progress]: [ 12 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (sqrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.007 * * * * [progress]: [ 13 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (- (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (- (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.007 * * * * [progress]: [ 14 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.007 * * * * [progress]: [ 15 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.007 * * * * [progress]: [ 16 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 17 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt 1)) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 18 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 19 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) 1) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 20 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 21 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 22 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 23 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt 1)) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 24 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 25 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) 1) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 26 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.008 * * * * [progress]: [ 27 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 28 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 29 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (sqrt 1)) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 30 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 31 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 1) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 32 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* 1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 33 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 34 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 35 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 36 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 37 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.009 * * * * [progress]: [ 38 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt 1)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 39 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 40 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 41 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 42 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 43 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 44 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3)))) (sqrt (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 45 / 126 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 46 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3)) (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 47 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.010 * * * * [progress]: [ 48 / 126 ] simplifiying candidate #<alt (λ (x y) (* (posit16->real (real->posit16 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.011 * * * * [progress]: [ 49 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (log1p (expm1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.011 * * * * [progress]: [ 50 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (expm1 (log1p (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.011 * * * * [progress]: [ 51 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (hypot (log1p (exp x)) (sqrt (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.011 * * * * [progress]: [ 52 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1/2))))>
10.011 * * * * [progress]: [ 53 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (pow (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) 1))))>
10.011 * * * * [progress]: [ 54 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (exp (log (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.011 * * * * [progress]: [ 55 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (log (exp (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.011 * * * * [progress]: [ 56 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.011 * * * * [progress]: [ 57 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (cbrt (* (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.011 * * * * [progress]: [ 58 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.011 * * * * [progress]: [ 59 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.011 * * * * [progress]: [ 60 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (sqrt 1) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))>
10.012 * * * * [progress]: [ 61 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (/ (sqrt (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3))) (sqrt (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))))>
10.012 * * * * [progress]: [ 62 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))>
10.012 * * * * [progress]: [ 63 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ 1 2)))))>
10.012 * * * * [progress]: [ 64 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.012 * * * * [progress]: [ 65 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (fabs (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))>
10.012 * * * * [progress]: [ 66 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))>
10.012 * * * * [progress]: [ 67 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (posit16->real (real->posit16 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
10.012 * * * * [progress]: [ 68 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (log1p (expm1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.012 * * * * [progress]: [ 69 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (expm1 (log1p (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.012 * * * * [progress]: [ 70 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (hypot (log1p (exp x)) (sqrt (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.012 * * * * [progress]: [ 71 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1/2)) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.012 * * * * [progress]: [ 72 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (pow (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) 1)) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.013 * * * * [progress]: [ 73 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (exp (log (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.013 * * * * [progress]: [ 74 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (log (exp (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.013 * * * * [progress]: [ 75 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.013 * * * * [progress]: [ 76 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (cbrt (* (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.013 * * * * [progress]: [ 77 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.013 * * * * [progress]: [ 78 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.013 * * * * [progress]: [ 79 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (sqrt 1) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.014 * * * * [progress]: [ 80 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ (sqrt (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3))) (sqrt (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.014 * * * * [progress]: [ 81 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.014 * * * * [progress]: [ 82 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ 1 2))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 83 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 84 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (fabs (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 85 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 86 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (posit16->real (real->posit16 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 87 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (log1p (expm1 (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 88 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (expm1 (log1p (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 89 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log1p (exp x)) (+ 1 1)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 90 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (* (log1p (exp x)) (log1p (exp x))) 1) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 91 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 92 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log1p (exp x)) (+ 1 1)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.015 * * * * [progress]: [ 93 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (* (log1p (exp x)) (log1p (exp x))) 1) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 94 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (exp (+ (log (log1p (exp x))) (log (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 95 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (exp (log (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 96 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (log (exp (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 97 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (cbrt (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 98 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (cbrt (* (log1p (exp x)) (log1p (exp x)))) (cbrt (* (log1p (exp x)) (log1p (exp x))))) (cbrt (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 99 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (cbrt (* (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 100 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (sqrt (* (log1p (exp x)) (log1p (exp x)))) (sqrt (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 101 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* 1 (* (log1p (exp x)) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 102 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.016 * * * * [progress]: [ 103 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 104 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* 1 1) (* (log1p (exp x)) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 105 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 106 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log1p (exp x)) (* 2 1)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 107 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 108 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 109 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) 1) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 110 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 111 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (sqrt (log1p (exp x))) (* (sqrt (log1p (exp x))) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 112 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* 1 (* (log1p (exp x)) (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.017 * * * * [progress]: [ 113 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (posit16->real (real->posit16 (* (log1p (exp x)) (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 114 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 115 / 126 ] simplifiying candidate #<alt (λ (x y) (* (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 116 / 126 ] simplifiying candidate #<alt (λ (x y) (* (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 117 / 126 ] simplifiying candidate #<alt (λ (x y) (* (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 118 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))))>
10.018 * * * * [progress]: [ 119 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y))))))>
10.018 * * * * [progress]: [ 120 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y))))))>
10.018 * * * * [progress]: [ 121 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 122 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 123 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 124 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 125 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log (+ (exp x) 1)) 2) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.018 * * * * [progress]: [ 126 / 126 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log (+ (exp x) 1)) 2) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
10.022 * [simplify]: Simplifying:
  (expm1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (log1p (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (- 1 1/2)
  (- 1 (/ 1 2))
  (- (log (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (log (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (log (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (exp (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (* (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (* (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (* (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (sqrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (sqrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (- (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (- (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
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  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) 1)
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt 1))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) 1)
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ 1 (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ 1 (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ 1 (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ 1 (sqrt 1))
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  (/ 1 (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ 1 1)
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  (/ 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
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  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt 1))
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  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1)
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  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (real->posit16 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (expm1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (log1p (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (log (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (exp (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (* (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
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  (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (sqrt 1)
  (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (sqrt (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3)))
  (sqrt (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ 1 2)
  (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
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  (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
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  (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
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  (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ 1 2)
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  (+ 1 1)
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  (cbrt (* (log1p (exp x)) (log1p (exp x))))
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  (sqrt (* (log1p (exp x)) (log1p (exp x))))
  (sqrt (* (log1p (exp x)) (log1p (exp x))))
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* 1 1)
  (* (log1p (exp x)) (log1p (exp x)))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))
  (* 2 1)
  (* (log1p (exp x)) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (* (log1p (exp x)) 1)
  (* (cbrt (log1p (exp x))) (log1p (exp x)))
  (* (sqrt (log1p (exp x))) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
  (real->posit16 (* (log1p (exp x)) (log1p (exp x))))
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2))))
  (pow (log (+ (exp x) 1)) 2)
  (pow (log (+ (exp x) 1)) 2)
10.029 * * [simplify]: iteration 1: (153 enodes)
10.069 * * [simplify]: iteration 2: (369 enodes)
10.270 * * [simplify]: iteration 3: (1203 enodes)
11.688 * * [simplify]: Extracting #0: cost 67 inf + 0
11.690 * * [simplify]: Extracting #1: cost 313 inf + 3
11.696 * * [simplify]: Extracting #2: cost 852 inf + 2107
11.748 * * [simplify]: Extracting #3: cost 1130 inf + 173887
11.902 * * [simplify]: Extracting #4: cost 151 inf + 650468
12.067 * * [simplify]: Extracting #5: cost 0 inf + 676933
12.267 * * [simplify]: Extracting #6: cost 0 inf + 674152
12.442 * [simplify]: Simplified to:
  (expm1 (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (log1p (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  1/2
  1/2
  (log (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (log (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (exp (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (* (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  (* (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (* (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (- (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  (- (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
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  (/ (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (/ (fabs (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))) (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (* (/ (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))) (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (* (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (* (/ (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))) (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (* (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (* (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))))
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (fabs (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  1
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  1
  (/ (/ 1 (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ 1 (fabs (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))) (sqrt (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ 1 (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  1
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  (/ 1 (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
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  1
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  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  (/ (/ (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))) (fabs (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))
  (/ (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))) (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  1
  (/ (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  (/ (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))) (sqrt (fma (* (* (* x (fma x y (log1p (exp x)))) y) (* (* x (fma x y (log1p (exp x)))) y)) (* (* x (fma x y (log1p (exp x)))) y) (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))))))
  (/ (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x (fma x y (log1p (exp x)))) y) (* (* x (fma x y (log1p (exp x)))) y)))))
  (* (fma (- (* (* x (fma x y (log1p (exp x)))) y) (* (log1p (exp x)) (log1p (exp x)))) (* (* x (fma x y (log1p (exp x)))) y) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x))))) (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (* (- (* (log1p (exp x)) (log1p (exp x))) (* x (fma y (log1p (exp x)) (* x (* y y))))) (sqrt (fma (log1p (exp x)) (log1p (exp x)) (* x (fma y (log1p (exp x)) (* x (* y y)))))))
  (real->posit16 (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (expm1 (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (log1p (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (log (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (exp (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (* (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (* (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  (fabs (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  1
  (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  (sqrt (fma (* (* (* x (fma x y (log1p (exp x)))) y) (* (* x (fma x y (log1p (exp x)))) y)) (* (* x (fma x y (log1p (exp x)))) y) (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))))))
  (sqrt (fma (- (* (* x (fma x y (log1p (exp x)))) y) (* (log1p (exp x)) (log1p (exp x)))) (* (* x (fma x y (log1p (exp x)))) y) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x (fma x y (log1p (exp x)))) y) (* (* x (fma x y (log1p (exp x)))) y))))
  (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* x (fma x y (log1p (exp x)))) y)))
  1/2
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (real->posit16 (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (expm1 (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (log1p (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (log (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (exp (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (* (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))) (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))))
  (cbrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (* (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))) (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  (fabs (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (cbrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  1
  (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x)))))
  (sqrt (fma (* (* (* x (fma x y (log1p (exp x)))) y) (* (* x (fma x y (log1p (exp x)))) y)) (* (* x (fma x y (log1p (exp x)))) y) (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))))))
  (sqrt (fma (- (* (* x (fma x y (log1p (exp x)))) y) (* (log1p (exp x)) (log1p (exp x)))) (* (* x (fma x y (log1p (exp x)))) y) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x (fma x y (log1p (exp x)))) y) (* (* x (fma x y (log1p (exp x)))) y))))
  (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* x (fma x y (log1p (exp x)))) y)))
  1/2
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (real->posit16 (sqrt (fma x (* (fma x y (log1p (exp x))) y) (* (log1p (exp x)) (log1p (exp x))))))
  (expm1 (* (log1p (exp x)) (log1p (exp x))))
  (log1p (* (log1p (exp x)) (log1p (exp x))))
  2
  (* (log1p (exp x)) (log1p (exp x)))
  2
  (log (* (log1p (exp x)) (log1p (exp x))))
  (log (* (log1p (exp x)) (log1p (exp x))))
  (exp (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))))
  (* (cbrt (* (log1p (exp x)) (log1p (exp x)))) (cbrt (* (log1p (exp x)) (log1p (exp x)))))
  (cbrt (* (log1p (exp x)) (log1p (exp x))))
  (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))))
  (fabs (log1p (exp x)))
  (fabs (log1p (exp x)))
  (* (cbrt (log1p (exp x))) (log1p (exp x)))
  (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))
  (log1p (exp x))
  (log1p (exp x))
  1
  (* (log1p (exp x)) (log1p (exp x)))
  (log1p (exp x))
  (log1p (exp x))
  2
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (log1p (exp x)))
  (* (sqrt (log1p (exp x))) (log1p (exp x)))
  (log1p (exp x))
  (* (cbrt (log1p (exp x))) (log1p (exp x)))
  (* (sqrt (log1p (exp x))) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
  (real->posit16 (* (log1p (exp x)) (log1p (exp x))))
  (fma 1/8 (* x x) (fma x 1/2 (log 2)))
  (fma 3/8 (/ (* (log1p (exp x)) (log1p (exp x))) (* y x)) (fma 1/2 (log1p (exp x)) (* y x)))
  (fma 3/8 (/ (* (log1p (exp x)) (log1p (exp x))) (* y x)) (fma 1/2 (log1p (exp x)) (* y x)))
  (fma 1/8 (* x x) (fma x 1/2 (log 2)))
  (fma 3/8 (/ (* (log1p (exp x)) (log1p (exp x))) (* y x)) (fma 1/2 (log1p (exp x)) (* y x)))
  (fma 3/8 (/ (* (log1p (exp x)) (log1p (exp x))) (* y x)) (fma 1/2 (log1p (exp x)) (* y x)))
  (fma 1/8 (* x x) (fma x 1/2 (log 2)))
  (fma 3/8 (/ (* (log1p (exp x)) (log1p (exp x))) (* y x)) (fma 1/2 (log1p (exp x)) (* y x)))
  (fma 3/8 (/ (* (log1p (exp x)) (log1p (exp x))) (* y x)) (fma 1/2 (log1p (exp x)) (* y x)))
  (fma (log 2) x (fma (* (* x 1/4) x) (log 2) (fma (log 2) (log 2) (* (* x 1/4) x))))
  (* (log1p (exp x)) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
12.469 * * * [progress]: adding candidates to table
14.224 * * [progress]: iteration 4 / 4
14.224 * * * [progress]: picking best candidate
14.252 * * * * [pick]: Picked  #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
14.252 * * * [progress]: localizing error
14.317 * * * [progress]: generating rewritten candidates
14.317 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
14.666 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
14.774 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
14.882 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1)
14.916 * * * [progress]: generating series expansions
14.916 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
14.917 * [backup-simplify]: Simplify (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) into (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))))
14.917 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in (x y) around 0
14.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in y
14.917 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in y
14.918 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
14.918 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
14.918 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
14.918 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
14.918 * [taylor]: Taking taylor expansion of 1 in y
14.918 * [backup-simplify]: Simplify 1 into 1
14.918 * [taylor]: Taking taylor expansion of (exp x) in y
14.918 * [taylor]: Taking taylor expansion of x in y
14.918 * [backup-simplify]: Simplify x into x
14.918 * [backup-simplify]: Simplify (exp x) into (exp x)
14.918 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
14.918 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
14.918 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in y
14.918 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
14.918 * [taylor]: Taking taylor expansion of (pow x 2) in y
14.918 * [taylor]: Taking taylor expansion of x in y
14.918 * [backup-simplify]: Simplify x into x
14.918 * [taylor]: Taking taylor expansion of (pow y 2) in y
14.918 * [taylor]: Taking taylor expansion of y in y
14.918 * [backup-simplify]: Simplify 0 into 0
14.918 * [backup-simplify]: Simplify 1 into 1
14.918 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in y
14.918 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
14.918 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
14.918 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
14.918 * [taylor]: Taking taylor expansion of 1 in y
14.918 * [backup-simplify]: Simplify 1 into 1
14.918 * [taylor]: Taking taylor expansion of (exp x) in y
14.919 * [taylor]: Taking taylor expansion of x in y
14.919 * [backup-simplify]: Simplify x into x
14.919 * [backup-simplify]: Simplify (exp x) into (exp x)
14.919 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
14.919 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
14.919 * [taylor]: Taking taylor expansion of (* x y) in y
14.919 * [taylor]: Taking taylor expansion of x in y
14.919 * [backup-simplify]: Simplify x into x
14.919 * [taylor]: Taking taylor expansion of y in y
14.919 * [backup-simplify]: Simplify 0 into 0
14.919 * [backup-simplify]: Simplify 1 into 1
14.919 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
14.919 * [backup-simplify]: Simplify (* x 0) into 0
14.920 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) 0) into 0
14.920 * [backup-simplify]: Simplify (+ 0 0) into 0
14.920 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2)
14.921 * [backup-simplify]: Simplify (sqrt (pow (log (+ (exp x) 1)) 2)) into (log (+ (exp x) 1))
14.921 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
14.922 * [backup-simplify]: Simplify (+ 0 0) into 0
14.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
14.923 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) 0) (* 0 (log (+ (exp x) 1)))) into 0
14.923 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
14.924 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
14.924 * [backup-simplify]: Simplify (+ 0 0) into 0
14.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
14.925 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) x) (* 0 0)) into (* x (log (+ (exp x) 1)))
14.926 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
14.926 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
14.926 * [backup-simplify]: Simplify (/ (* x (log (+ (exp x) 1))) (* 2 (sqrt (pow (log (+ (exp x) 1)) 2)))) into (* 1/2 x)
14.926 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
14.926 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
14.926 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
14.926 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
14.926 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
14.926 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
14.926 * [taylor]: Taking taylor expansion of 1 in x
14.926 * [backup-simplify]: Simplify 1 into 1
14.926 * [taylor]: Taking taylor expansion of (exp x) in x
14.926 * [taylor]: Taking taylor expansion of x in x
14.926 * [backup-simplify]: Simplify 0 into 0
14.926 * [backup-simplify]: Simplify 1 into 1
14.926 * [backup-simplify]: Simplify (exp 0) into 1
14.927 * [backup-simplify]: Simplify (+ 1 1) into 2
14.927 * [backup-simplify]: Simplify (log 2) into (log 2)
14.927 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
14.927 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
14.927 * [taylor]: Taking taylor expansion of (pow x 2) in x
14.927 * [taylor]: Taking taylor expansion of x in x
14.927 * [backup-simplify]: Simplify 0 into 0
14.927 * [backup-simplify]: Simplify 1 into 1
14.927 * [taylor]: Taking taylor expansion of (pow y 2) in x
14.927 * [taylor]: Taking taylor expansion of y in x
14.927 * [backup-simplify]: Simplify y into y
14.927 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
14.927 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
14.927 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
14.927 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
14.927 * [taylor]: Taking taylor expansion of 1 in x
14.927 * [backup-simplify]: Simplify 1 into 1
14.927 * [taylor]: Taking taylor expansion of (exp x) in x
14.927 * [taylor]: Taking taylor expansion of x in x
14.927 * [backup-simplify]: Simplify 0 into 0
14.927 * [backup-simplify]: Simplify 1 into 1
14.927 * [backup-simplify]: Simplify (exp 0) into 1
14.928 * [backup-simplify]: Simplify (+ 1 1) into 2
14.928 * [backup-simplify]: Simplify (log 2) into (log 2)
14.928 * [taylor]: Taking taylor expansion of (* x y) in x
14.928 * [taylor]: Taking taylor expansion of x in x
14.928 * [backup-simplify]: Simplify 0 into 0
14.928 * [backup-simplify]: Simplify 1 into 1
14.928 * [taylor]: Taking taylor expansion of y in x
14.928 * [backup-simplify]: Simplify y into y
14.929 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
14.929 * [backup-simplify]: Simplify (* 0 y) into 0
14.929 * [backup-simplify]: Simplify (* (log 2) 0) into 0
14.929 * [backup-simplify]: Simplify (+ 0 0) into 0
14.930 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
14.931 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
14.932 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
14.932 * [backup-simplify]: Simplify (+ 0 1) into 1
14.933 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
14.934 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
14.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
14.935 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
14.935 * [backup-simplify]: Simplify (+ 0 1) into 1
14.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
14.937 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
14.937 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
14.938 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
14.939 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
14.939 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
14.939 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
14.939 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
14.939 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
14.939 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
14.939 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
14.939 * [taylor]: Taking taylor expansion of 1 in x
14.940 * [backup-simplify]: Simplify 1 into 1
14.940 * [taylor]: Taking taylor expansion of (exp x) in x
14.940 * [taylor]: Taking taylor expansion of x in x
14.940 * [backup-simplify]: Simplify 0 into 0
14.940 * [backup-simplify]: Simplify 1 into 1
14.940 * [backup-simplify]: Simplify (exp 0) into 1
14.940 * [backup-simplify]: Simplify (+ 1 1) into 2
14.940 * [backup-simplify]: Simplify (log 2) into (log 2)
14.940 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
14.940 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
14.940 * [taylor]: Taking taylor expansion of (pow x 2) in x
14.940 * [taylor]: Taking taylor expansion of x in x
14.940 * [backup-simplify]: Simplify 0 into 0
14.940 * [backup-simplify]: Simplify 1 into 1
14.940 * [taylor]: Taking taylor expansion of (pow y 2) in x
14.940 * [taylor]: Taking taylor expansion of y in x
14.940 * [backup-simplify]: Simplify y into y
14.940 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
14.940 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
14.940 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
14.940 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
14.940 * [taylor]: Taking taylor expansion of 1 in x
14.940 * [backup-simplify]: Simplify 1 into 1
14.940 * [taylor]: Taking taylor expansion of (exp x) in x
14.940 * [taylor]: Taking taylor expansion of x in x
14.940 * [backup-simplify]: Simplify 0 into 0
14.940 * [backup-simplify]: Simplify 1 into 1
14.940 * [backup-simplify]: Simplify (exp 0) into 1
14.941 * [backup-simplify]: Simplify (+ 1 1) into 2
14.941 * [backup-simplify]: Simplify (log 2) into (log 2)
14.941 * [taylor]: Taking taylor expansion of (* x y) in x
14.941 * [taylor]: Taking taylor expansion of x in x
14.941 * [backup-simplify]: Simplify 0 into 0
14.941 * [backup-simplify]: Simplify 1 into 1
14.941 * [taylor]: Taking taylor expansion of y in x
14.941 * [backup-simplify]: Simplify y into y
14.942 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
14.942 * [backup-simplify]: Simplify (* 0 y) into 0
14.942 * [backup-simplify]: Simplify (* (log 2) 0) into 0
14.942 * [backup-simplify]: Simplify (+ 0 0) into 0
14.943 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
14.944 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
14.945 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
14.945 * [backup-simplify]: Simplify (+ 0 1) into 1
14.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
14.947 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
14.947 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
14.948 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
14.948 * [backup-simplify]: Simplify (+ 0 1) into 1
14.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
14.949 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
14.950 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
14.950 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
14.952 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
14.952 * [taylor]: Taking taylor expansion of (log 2) in y
14.952 * [taylor]: Taking taylor expansion of 2 in y
14.952 * [backup-simplify]: Simplify 2 into 2
14.952 * [backup-simplify]: Simplify (log 2) into (log 2)
14.953 * [backup-simplify]: Simplify (log 2) into (log 2)
14.953 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) in y
14.953 * [taylor]: Taking taylor expansion of 1/2 in y
14.953 * [backup-simplify]: Simplify 1/2 into 1/2
14.953 * [taylor]: Taking taylor expansion of (/ (+ (log 2) (* (log 2) y)) (log 2)) in y
14.953 * [taylor]: Taking taylor expansion of (+ (log 2) (* (log 2) y)) in y
14.953 * [taylor]: Taking taylor expansion of (log 2) in y
14.953 * [taylor]: Taking taylor expansion of 2 in y
14.953 * [backup-simplify]: Simplify 2 into 2
14.953 * [backup-simplify]: Simplify (log 2) into (log 2)
14.953 * [taylor]: Taking taylor expansion of (* (log 2) y) in y
14.953 * [taylor]: Taking taylor expansion of (log 2) in y
14.953 * [taylor]: Taking taylor expansion of 2 in y
14.953 * [backup-simplify]: Simplify 2 into 2
14.953 * [backup-simplify]: Simplify (log 2) into (log 2)
14.953 * [taylor]: Taking taylor expansion of y in y
14.953 * [backup-simplify]: Simplify 0 into 0
14.953 * [backup-simplify]: Simplify 1 into 1
14.953 * [taylor]: Taking taylor expansion of (log 2) in y
14.953 * [taylor]: Taking taylor expansion of 2 in y
14.953 * [backup-simplify]: Simplify 2 into 2
14.954 * [backup-simplify]: Simplify (log 2) into (log 2)
14.954 * [backup-simplify]: Simplify (* (log 2) 0) into 0
14.954 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
14.955 * [backup-simplify]: Simplify (/ (log 2) (log 2)) into 1
14.955 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.955 * [backup-simplify]: Simplify 1/2 into 1/2
14.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.956 * [backup-simplify]: Simplify 0 into 0
14.957 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
14.958 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
14.959 * [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
14.963 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
14.963 * [backup-simplify]: Simplify (* 1 1) into 1
14.963 * [backup-simplify]: Simplify (* y y) into (pow y 2)
14.964 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
14.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
14.966 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
14.966 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
14.969 * [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
14.970 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 1/2 y) (* 1/8 0))) into (* 1/2 y)
14.971 * [backup-simplify]: Simplify (+ (pow y 2) (* 1/2 y)) into (+ (pow y 2) (* 1/2 y))
14.972 * [backup-simplify]: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (+ (pow y 2) (* 1/2 y))) into (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4)))
14.976 * [backup-simplify]: Simplify (/ (- (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4))) (pow (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) 2) (+)) (* 2 (log 2))) into (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)))
14.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2))) in y
14.976 * [taylor]: Taking taylor expansion of 1/2 in y
14.976 * [backup-simplify]: Simplify 1/2 into 1/2
14.976 * [taylor]: Taking taylor expansion of (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)) in y
14.976 * [taylor]: Taking taylor expansion of (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) in y
14.976 * [taylor]: Taking taylor expansion of (* 1/4 (log 2)) in y
14.976 * [taylor]: Taking taylor expansion of 1/4 in y
14.976 * [backup-simplify]: Simplify 1/4 into 1/4
14.976 * [taylor]: Taking taylor expansion of (log 2) in y
14.976 * [taylor]: Taking taylor expansion of 2 in y
14.976 * [backup-simplify]: Simplify 2 into 2
14.977 * [backup-simplify]: Simplify (log 2) into (log 2)
14.977 * [taylor]: Taking taylor expansion of (* 3/4 (pow y 2)) in y
14.977 * [taylor]: Taking taylor expansion of 3/4 in y
14.977 * [backup-simplify]: Simplify 3/4 into 3/4
14.977 * [taylor]: Taking taylor expansion of (pow y 2) in y
14.977 * [taylor]: Taking taylor expansion of y in y
14.977 * [backup-simplify]: Simplify 0 into 0
14.977 * [backup-simplify]: Simplify 1 into 1
14.977 * [taylor]: Taking taylor expansion of (log 2) in y
14.977 * [taylor]: Taking taylor expansion of 2 in y
14.977 * [backup-simplify]: Simplify 2 into 2
14.977 * [backup-simplify]: Simplify (log 2) into (log 2)
14.978 * [backup-simplify]: Simplify (* 1/4 (log 2)) into (* 1/4 (log 2))
14.980 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 0) into (* 1/4 (log 2))
14.982 * [backup-simplify]: Simplify (/ (* 1/4 (log 2)) (log 2)) into 1/4
14.982 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8
14.982 * [backup-simplify]: Simplify 1/8 into 1/8
14.983 * [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))))
14.984 * [backup-simplify]: Simplify (/ (+ (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (+ (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) (sqrt (+ (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (+ (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))))
14.984 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in (x y) around 0
14.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in y
14.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in y
14.984 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
14.984 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
14.984 * [taylor]: Taking taylor expansion of (pow x 2) in y
14.984 * [taylor]: Taking taylor expansion of x in y
14.984 * [backup-simplify]: Simplify x into x
14.984 * [taylor]: Taking taylor expansion of (pow y 2) in y
14.984 * [taylor]: Taking taylor expansion of y in y
14.984 * [backup-simplify]: Simplify 0 into 0
14.984 * [backup-simplify]: Simplify 1 into 1
14.985 * [backup-simplify]: Simplify (* x x) into (pow x 2)
14.985 * [backup-simplify]: Simplify (* 1 1) into 1
14.985 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
14.985 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
14.985 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in y
14.985 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in y
14.985 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
14.985 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
14.985 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
14.985 * [taylor]: Taking taylor expansion of 1 in y
14.985 * [backup-simplify]: Simplify 1 into 1
14.985 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
14.985 * [taylor]: Taking taylor expansion of (/ 1 x) in y
14.985 * [taylor]: Taking taylor expansion of x in y
14.986 * [backup-simplify]: Simplify x into x
14.986 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
14.986 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
14.986 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
14.986 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
14.986 * [taylor]: Taking taylor expansion of (* x y) in y
14.986 * [taylor]: Taking taylor expansion of x in y
14.986 * [backup-simplify]: Simplify x into x
14.986 * [taylor]: Taking taylor expansion of y in y
14.986 * [backup-simplify]: Simplify 0 into 0
14.986 * [backup-simplify]: Simplify 1 into 1
14.986 * [backup-simplify]: Simplify (* x 0) into 0
14.987 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
14.987 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) x) into (/ (log (+ (exp (/ 1 x)) 1)) x)
14.987 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
14.987 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
14.987 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
14.987 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
14.987 * [taylor]: Taking taylor expansion of 1 in y
14.987 * [backup-simplify]: Simplify 1 into 1
14.987 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
14.987 * [taylor]: Taking taylor expansion of (/ 1 x) in y
14.987 * [taylor]: Taking taylor expansion of x in y
14.987 * [backup-simplify]: Simplify x into x
14.987 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
14.987 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
14.987 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
14.987 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
14.987 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
14.987 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
14.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.988 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
14.989 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
14.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
14.989 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) x) 0) into (/ (log (+ (exp (/ 1 x)) 1)) x)
14.989 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) x)) into (/ (log (+ (exp (/ 1 x)) 1)) x)
14.989 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
14.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
14.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
14.989 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
14.989 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
14.989 * [taylor]: Taking taylor expansion of (pow x 2) in x
14.990 * [taylor]: Taking taylor expansion of x in x
14.990 * [backup-simplify]: Simplify 0 into 0
14.990 * [backup-simplify]: Simplify 1 into 1
14.990 * [taylor]: Taking taylor expansion of (pow y 2) in x
14.990 * [taylor]: Taking taylor expansion of y in x
14.990 * [backup-simplify]: Simplify y into y
14.990 * [backup-simplify]: Simplify (* 1 1) into 1
14.990 * [backup-simplify]: Simplify (* y y) into (pow y 2)
14.990 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
14.990 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
14.990 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
14.990 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
14.990 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
14.990 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
14.990 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
14.990 * [taylor]: Taking taylor expansion of 1 in x
14.990 * [backup-simplify]: Simplify 1 into 1
14.991 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
14.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x
14.991 * [taylor]: Taking taylor expansion of x in x
14.991 * [backup-simplify]: Simplify 0 into 0
14.991 * [backup-simplify]: Simplify 1 into 1
14.991 * [backup-simplify]: Simplify (/ 1 1) into 1
14.991 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
14.991 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
14.991 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
14.991 * [taylor]: Taking taylor expansion of (* x y) in x
14.991 * [taylor]: Taking taylor expansion of x in x
14.991 * [backup-simplify]: Simplify 0 into 0
14.991 * [backup-simplify]: Simplify 1 into 1
14.991 * [taylor]: Taking taylor expansion of y in x
14.991 * [backup-simplify]: Simplify y into y
14.991 * [backup-simplify]: Simplify (* 0 y) into 0
14.992 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
14.992 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
14.992 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
14.992 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
14.992 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
14.992 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
14.992 * [taylor]: Taking taylor expansion of 1 in x
14.992 * [backup-simplify]: Simplify 1 into 1
14.992 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
14.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x
14.992 * [taylor]: Taking taylor expansion of x in x
14.992 * [backup-simplify]: Simplify 0 into 0
14.992 * [backup-simplify]: Simplify 1 into 1
14.993 * [backup-simplify]: Simplify (/ 1 1) into 1
14.993 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
14.993 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
14.993 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
14.993 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
14.993 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
14.993 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
14.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
14.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
14.994 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
14.995 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
14.995 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
14.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
14.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
14.995 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
14.995 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
14.995 * [taylor]: Taking taylor expansion of (pow x 2) in x
14.995 * [taylor]: Taking taylor expansion of x in x
14.995 * [backup-simplify]: Simplify 0 into 0
14.995 * [backup-simplify]: Simplify 1 into 1
14.995 * [taylor]: Taking taylor expansion of (pow y 2) in x
14.995 * [taylor]: Taking taylor expansion of y in x
14.995 * [backup-simplify]: Simplify y into y
14.996 * [backup-simplify]: Simplify (* 1 1) into 1
14.996 * [backup-simplify]: Simplify (* y y) into (pow y 2)
14.996 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
14.996 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
14.996 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
14.996 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
14.996 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
14.996 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
14.996 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
14.996 * [taylor]: Taking taylor expansion of 1 in x
14.996 * [backup-simplify]: Simplify 1 into 1
14.996 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
14.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x
14.996 * [taylor]: Taking taylor expansion of x in x
14.996 * [backup-simplify]: Simplify 0 into 0
14.996 * [backup-simplify]: Simplify 1 into 1
14.997 * [backup-simplify]: Simplify (/ 1 1) into 1
14.997 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
14.997 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
14.997 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
14.997 * [taylor]: Taking taylor expansion of (* x y) in x
14.997 * [taylor]: Taking taylor expansion of x in x
14.997 * [backup-simplify]: Simplify 0 into 0
14.997 * [backup-simplify]: Simplify 1 into 1
14.997 * [taylor]: Taking taylor expansion of y in x
14.997 * [backup-simplify]: Simplify y into y
14.997 * [backup-simplify]: Simplify (* 0 y) into 0
14.998 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
14.998 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
14.998 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
14.998 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
14.998 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
14.998 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
14.998 * [taylor]: Taking taylor expansion of 1 in x
14.998 * [backup-simplify]: Simplify 1 into 1
14.998 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
14.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x
14.998 * [taylor]: Taking taylor expansion of x in x
14.998 * [backup-simplify]: Simplify 0 into 0
14.999 * [backup-simplify]: Simplify 1 into 1
14.999 * [backup-simplify]: Simplify (/ 1 1) into 1
14.999 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
14.999 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
14.999 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
14.999 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.000 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.000 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.001 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.001 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.002 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.002 * [taylor]: Taking taylor expansion of (/ 1 y) in y
15.002 * [taylor]: Taking taylor expansion of y in y
15.002 * [backup-simplify]: Simplify 0 into 0
15.002 * [backup-simplify]: Simplify 1 into 1
15.002 * [backup-simplify]: Simplify (/ 1 1) into 1
15.002 * [backup-simplify]: Simplify 1 into 1
15.002 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ 1 x)) 1))) in y
15.002 * [taylor]: Taking taylor expansion of 1/2 in y
15.002 * [backup-simplify]: Simplify 1/2 into 1/2
15.002 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.002 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.002 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.002 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.002 * [taylor]: Taking taylor expansion of x in y
15.003 * [backup-simplify]: Simplify x into x
15.003 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.003 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.003 * [taylor]: Taking taylor expansion of 1 in y
15.003 * [backup-simplify]: Simplify 1 into 1
15.003 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.003 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.004 * [backup-simplify]: Simplify 0 into 0
15.004 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
15.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.006 * [backup-simplify]: Simplify (+ 0 0) into 0
15.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
15.008 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)))) into 0
15.008 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.009 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.009 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.009 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ 1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ 1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)))
15.009 * [taylor]: Taking taylor expansion of (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) in y
15.009 * [taylor]: Taking taylor expansion of 3/8 in y
15.009 * [backup-simplify]: Simplify 3/8 into 3/8
15.010 * [taylor]: Taking taylor expansion of (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y
15.010 * [taylor]: Taking taylor expansion of y in y
15.010 * [backup-simplify]: Simplify 0 into 0
15.010 * [backup-simplify]: Simplify 1 into 1
15.010 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y
15.010 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.010 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.010 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.010 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.010 * [taylor]: Taking taylor expansion of x in y
15.010 * [backup-simplify]: Simplify x into x
15.010 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.010 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.010 * [taylor]: Taking taylor expansion of 1 in y
15.010 * [backup-simplify]: Simplify 1 into 1
15.010 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.010 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.010 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.010 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.011 * [backup-simplify]: Simplify 0 into 0
15.012 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
15.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
15.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.014 * [backup-simplify]: Simplify (+ 0 0) into 0
15.017 * [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
15.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
15.018 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.018 * [backup-simplify]: Simplify (+ 0 0) into 0
15.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.019 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.019 * [backup-simplify]: Simplify (+ 0 0) into 0
15.019 * [backup-simplify]: Simplify (+ 0 0) into 0
15.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)))
15.020 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))) in y
15.020 * [taylor]: Taking taylor expansion of -3/16 in y
15.020 * [backup-simplify]: Simplify -3/16 into -3/16
15.020 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)) in y
15.020 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.020 * [taylor]: Taking taylor expansion of y in y
15.020 * [backup-simplify]: Simplify 0 into 0
15.020 * [backup-simplify]: Simplify 1 into 1
15.020 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 3) in y
15.020 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.020 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.020 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.020 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.020 * [taylor]: Taking taylor expansion of x in y
15.020 * [backup-simplify]: Simplify x into x
15.020 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.020 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.020 * [taylor]: Taking taylor expansion of 1 in y
15.020 * [backup-simplify]: Simplify 1 into 1
15.020 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.020 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.020 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.021 * [backup-simplify]: Simplify (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into 0
15.021 * [backup-simplify]: Simplify (* 3/8 0) into 0
15.021 * [backup-simplify]: Simplify 0 into 0
15.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
15.021 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.022 * [backup-simplify]: Simplify (+ 0 0) into 0
15.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.023 * [backup-simplify]: Simplify 0 into 0
15.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.023 * [backup-simplify]: Simplify 0 into 0
15.024 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
15.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.026 * [backup-simplify]: Simplify (+ 0 0) into 0
15.028 * [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
15.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.029 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.029 * [backup-simplify]: Simplify (+ 0 0) into 0
15.030 * [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
15.031 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
15.031 * [backup-simplify]: Simplify (+ 0 0) into 0
15.031 * [backup-simplify]: Simplify (+ 0 0) into 0
15.032 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)))
15.032 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4))) in y
15.032 * [taylor]: Taking taylor expansion of 3/128 in y
15.032 * [backup-simplify]: Simplify 3/128 into 3/128
15.032 * [taylor]: Taking taylor expansion of (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)) in y
15.032 * [taylor]: Taking taylor expansion of (pow y 3) in y
15.032 * [taylor]: Taking taylor expansion of y in y
15.032 * [backup-simplify]: Simplify 0 into 0
15.032 * [backup-simplify]: Simplify 1 into 1
15.032 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 4) in y
15.032 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.032 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.032 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.032 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.032 * [taylor]: Taking taylor expansion of x in y
15.032 * [backup-simplify]: Simplify x into x
15.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.032 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.032 * [taylor]: Taking taylor expansion of 1 in y
15.032 * [backup-simplify]: Simplify 1 into 1
15.032 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.032 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
15.033 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.033 * [backup-simplify]: Simplify (+ 0 0) into 0
15.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.033 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.034 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.034 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
15.034 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
15.035 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2)) (* (/ 1 y) (/ 1 x))) (+ (* 1/2 (log (+ (exp (/ 1 (/ 1 x))) 1))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
15.035 * [backup-simplify]: Simplify (/ (+ (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (+ (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) (sqrt (+ (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (+ (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))))
15.035 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in (x y) around 0
15.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in y
15.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in y
15.036 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
15.036 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
15.036 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.036 * [taylor]: Taking taylor expansion of x in y
15.036 * [backup-simplify]: Simplify x into x
15.036 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.036 * [taylor]: Taking taylor expansion of y in y
15.036 * [backup-simplify]: Simplify 0 into 0
15.036 * [backup-simplify]: Simplify 1 into 1
15.036 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.036 * [backup-simplify]: Simplify (* 1 1) into 1
15.036 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
15.036 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.036 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in y
15.036 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
15.036 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
15.036 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.036 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
15.036 * [taylor]: Taking taylor expansion of 1 in y
15.036 * [backup-simplify]: Simplify 1 into 1
15.036 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.036 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.036 * [taylor]: Taking taylor expansion of -1 in y
15.036 * [backup-simplify]: Simplify -1 into -1
15.036 * [taylor]: Taking taylor expansion of x in y
15.036 * [backup-simplify]: Simplify x into x
15.036 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.036 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.036 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.037 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.037 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in y
15.037 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
15.037 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.037 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
15.037 * [taylor]: Taking taylor expansion of 1 in y
15.037 * [backup-simplify]: Simplify 1 into 1
15.037 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.037 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.037 * [taylor]: Taking taylor expansion of -1 in y
15.037 * [backup-simplify]: Simplify -1 into -1
15.037 * [taylor]: Taking taylor expansion of x in y
15.037 * [backup-simplify]: Simplify x into x
15.037 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.037 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.037 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.037 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.037 * [taylor]: Taking taylor expansion of (* x y) in y
15.037 * [taylor]: Taking taylor expansion of x in y
15.037 * [backup-simplify]: Simplify x into x
15.037 * [taylor]: Taking taylor expansion of y in y
15.037 * [backup-simplify]: Simplify 0 into 0
15.037 * [backup-simplify]: Simplify 1 into 1
15.037 * [backup-simplify]: Simplify (* x 0) into 0
15.037 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
15.037 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) x) into (/ (log (+ (exp (/ -1 x)) 1)) x)
15.037 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
15.038 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
15.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.038 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
15.038 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
15.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
15.038 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
15.039 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
15.039 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
15.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
15.039 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.039 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.039 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.039 * [taylor]: Taking taylor expansion of x in x
15.039 * [backup-simplify]: Simplify 0 into 0
15.039 * [backup-simplify]: Simplify 1 into 1
15.039 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.039 * [taylor]: Taking taylor expansion of y in x
15.039 * [backup-simplify]: Simplify y into y
15.039 * [backup-simplify]: Simplify (* 1 1) into 1
15.039 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.039 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.039 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.039 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
15.039 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
15.039 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.039 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.039 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.039 * [taylor]: Taking taylor expansion of 1 in x
15.040 * [backup-simplify]: Simplify 1 into 1
15.040 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.040 * [taylor]: Taking taylor expansion of -1 in x
15.040 * [backup-simplify]: Simplify -1 into -1
15.040 * [taylor]: Taking taylor expansion of x in x
15.040 * [backup-simplify]: Simplify 0 into 0
15.040 * [backup-simplify]: Simplify 1 into 1
15.040 * [backup-simplify]: Simplify (/ -1 1) into -1
15.040 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.040 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.040 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.040 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
15.040 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.040 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.040 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.040 * [taylor]: Taking taylor expansion of 1 in x
15.040 * [backup-simplify]: Simplify 1 into 1
15.040 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.040 * [taylor]: Taking taylor expansion of -1 in x
15.040 * [backup-simplify]: Simplify -1 into -1
15.040 * [taylor]: Taking taylor expansion of x in x
15.040 * [backup-simplify]: Simplify 0 into 0
15.040 * [backup-simplify]: Simplify 1 into 1
15.041 * [backup-simplify]: Simplify (/ -1 1) into -1
15.041 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.041 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.041 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.041 * [taylor]: Taking taylor expansion of (* x y) in x
15.041 * [taylor]: Taking taylor expansion of x in x
15.041 * [backup-simplify]: Simplify 0 into 0
15.041 * [backup-simplify]: Simplify 1 into 1
15.041 * [taylor]: Taking taylor expansion of y in x
15.041 * [backup-simplify]: Simplify y into y
15.041 * [backup-simplify]: Simplify (* 0 y) into 0
15.041 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.041 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.041 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.041 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.041 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.042 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.042 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.043 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
15.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
15.043 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.043 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.043 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.043 * [taylor]: Taking taylor expansion of x in x
15.043 * [backup-simplify]: Simplify 0 into 0
15.043 * [backup-simplify]: Simplify 1 into 1
15.043 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.043 * [taylor]: Taking taylor expansion of y in x
15.043 * [backup-simplify]: Simplify y into y
15.043 * [backup-simplify]: Simplify (* 1 1) into 1
15.043 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.043 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.043 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.043 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
15.043 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
15.043 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.043 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.043 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.043 * [taylor]: Taking taylor expansion of 1 in x
15.043 * [backup-simplify]: Simplify 1 into 1
15.043 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.043 * [taylor]: Taking taylor expansion of -1 in x
15.043 * [backup-simplify]: Simplify -1 into -1
15.043 * [taylor]: Taking taylor expansion of x in x
15.044 * [backup-simplify]: Simplify 0 into 0
15.044 * [backup-simplify]: Simplify 1 into 1
15.044 * [backup-simplify]: Simplify (/ -1 1) into -1
15.044 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.044 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.044 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.044 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
15.044 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.044 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.044 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.044 * [taylor]: Taking taylor expansion of 1 in x
15.044 * [backup-simplify]: Simplify 1 into 1
15.044 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.044 * [taylor]: Taking taylor expansion of -1 in x
15.044 * [backup-simplify]: Simplify -1 into -1
15.044 * [taylor]: Taking taylor expansion of x in x
15.044 * [backup-simplify]: Simplify 0 into 0
15.044 * [backup-simplify]: Simplify 1 into 1
15.045 * [backup-simplify]: Simplify (/ -1 1) into -1
15.045 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.045 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.045 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.045 * [taylor]: Taking taylor expansion of (* x y) in x
15.045 * [taylor]: Taking taylor expansion of x in x
15.045 * [backup-simplify]: Simplify 0 into 0
15.045 * [backup-simplify]: Simplify 1 into 1
15.045 * [taylor]: Taking taylor expansion of y in x
15.045 * [backup-simplify]: Simplify y into y
15.045 * [backup-simplify]: Simplify (* 0 y) into 0
15.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.045 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.045 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.045 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.046 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.047 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.047 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y
15.047 * [taylor]: Taking taylor expansion of y in y
15.047 * [backup-simplify]: Simplify 0 into 0
15.047 * [backup-simplify]: Simplify 1 into 1
15.047 * [backup-simplify]: Simplify (/ 1 1) into 1
15.047 * [backup-simplify]: Simplify 1 into 1
15.047 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ -1 x)) 1))) in y
15.047 * [taylor]: Taking taylor expansion of 1/2 in y
15.047 * [backup-simplify]: Simplify 1/2 into 1/2
15.047 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.047 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.047 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.047 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.047 * [taylor]: Taking taylor expansion of -1 in y
15.047 * [backup-simplify]: Simplify -1 into -1
15.047 * [taylor]: Taking taylor expansion of x in y
15.047 * [backup-simplify]: Simplify x into x
15.047 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.047 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.047 * [taylor]: Taking taylor expansion of 1 in y
15.047 * [backup-simplify]: Simplify 1 into 1
15.047 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.048 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.048 * [backup-simplify]: Simplify 0 into 0
15.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
15.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.050 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.050 * [backup-simplify]: Simplify (+ 0 0) into 0
15.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
15.051 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)))) into 0
15.051 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.051 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.052 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ -1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y))
15.052 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) in y
15.052 * [taylor]: Taking taylor expansion of 3/8 in y
15.052 * [backup-simplify]: Simplify 3/8 into 3/8
15.052 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y) in y
15.052 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y
15.052 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.052 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.052 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.052 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.052 * [taylor]: Taking taylor expansion of -1 in y
15.052 * [backup-simplify]: Simplify -1 into -1
15.052 * [taylor]: Taking taylor expansion of x in y
15.052 * [backup-simplify]: Simplify x into x
15.052 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.052 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.052 * [taylor]: Taking taylor expansion of 1 in y
15.052 * [backup-simplify]: Simplify 1 into 1
15.052 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.052 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.052 * [taylor]: Taking taylor expansion of y in y
15.052 * [backup-simplify]: Simplify 0 into 0
15.052 * [backup-simplify]: Simplify 1 into 1
15.052 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.053 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.053 * [backup-simplify]: Simplify 0 into 0
15.054 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
15.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
15.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.056 * [backup-simplify]: Simplify (+ 0 0) into 0
15.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.057 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.057 * [backup-simplify]: Simplify (+ 0 0) into 0
15.059 * [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
15.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
15.060 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.061 * [backup-simplify]: Simplify (+ 0 0) into 0
15.061 * [backup-simplify]: Simplify (+ 0 0) into 0
15.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)))
15.062 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))) in y
15.062 * [taylor]: Taking taylor expansion of -3/16 in y
15.062 * [backup-simplify]: Simplify -3/16 into -3/16
15.062 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)) in y
15.062 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 3) in y
15.062 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.062 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.062 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.062 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.062 * [taylor]: Taking taylor expansion of -1 in y
15.062 * [backup-simplify]: Simplify -1 into -1
15.062 * [taylor]: Taking taylor expansion of x in y
15.062 * [backup-simplify]: Simplify x into x
15.062 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.062 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.062 * [taylor]: Taking taylor expansion of 1 in y
15.062 * [backup-simplify]: Simplify 1 into 1
15.062 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.063 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.063 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.063 * [taylor]: Taking taylor expansion of y in y
15.063 * [backup-simplify]: Simplify 0 into 0
15.063 * [backup-simplify]: Simplify 1 into 1
15.063 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.063 * [backup-simplify]: Simplify (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into 0
15.064 * [backup-simplify]: Simplify (* 3/8 0) into 0
15.064 * [backup-simplify]: Simplify 0 into 0
15.064 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
15.065 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.065 * [backup-simplify]: Simplify (+ 0 0) into 0
15.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.067 * [backup-simplify]: Simplify 0 into 0
15.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.068 * [backup-simplify]: Simplify 0 into 0
15.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
15.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.074 * [backup-simplify]: Simplify (+ 0 0) into 0
15.075 * [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
15.076 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
15.076 * [backup-simplify]: Simplify (+ 0 0) into 0
15.077 * [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
15.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.079 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.079 * [backup-simplify]: Simplify (+ 0 0) into 0
15.079 * [backup-simplify]: Simplify (+ 0 0) into 0
15.080 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)))
15.080 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3))) in y
15.080 * [taylor]: Taking taylor expansion of 3/128 in y
15.080 * [backup-simplify]: Simplify 3/128 into 3/128
15.080 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)) in y
15.080 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 4) in y
15.080 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.080 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.080 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.080 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.080 * [taylor]: Taking taylor expansion of -1 in y
15.080 * [backup-simplify]: Simplify -1 into -1
15.080 * [taylor]: Taking taylor expansion of x in y
15.080 * [backup-simplify]: Simplify x into x
15.080 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.080 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.080 * [taylor]: Taking taylor expansion of 1 in y
15.080 * [backup-simplify]: Simplify 1 into 1
15.080 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.080 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.080 * [taylor]: Taking taylor expansion of (pow y 3) in y
15.080 * [taylor]: Taking taylor expansion of y in y
15.080 * [backup-simplify]: Simplify 0 into 0
15.080 * [backup-simplify]: Simplify 1 into 1
15.080 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
15.081 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.081 * [backup-simplify]: Simplify (+ 0 0) into 0
15.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.082 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.082 * [backup-simplify]: Simplify (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 1) (* 0 0)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.082 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
15.083 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
15.083 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2)) (* (/ 1 (- y)) (/ 1 (- x)))) (+ (* 1/2 (log (+ (exp (/ -1 (/ 1 (- x)))) 1))) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
15.083 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
15.083 * [backup-simplify]: Simplify (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) into (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))))
15.083 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in (x y) around 0
15.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in y
15.083 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in y
15.083 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
15.083 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
15.083 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.084 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
15.084 * [taylor]: Taking taylor expansion of 1 in y
15.084 * [backup-simplify]: Simplify 1 into 1
15.084 * [taylor]: Taking taylor expansion of (exp x) in y
15.084 * [taylor]: Taking taylor expansion of x in y
15.084 * [backup-simplify]: Simplify x into x
15.084 * [backup-simplify]: Simplify (exp x) into (exp x)
15.084 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
15.084 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
15.084 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in y
15.084 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
15.084 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.084 * [taylor]: Taking taylor expansion of x in y
15.084 * [backup-simplify]: Simplify x into x
15.084 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.084 * [taylor]: Taking taylor expansion of y in y
15.084 * [backup-simplify]: Simplify 0 into 0
15.084 * [backup-simplify]: Simplify 1 into 1
15.084 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in y
15.084 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
15.084 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.084 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
15.084 * [taylor]: Taking taylor expansion of 1 in y
15.084 * [backup-simplify]: Simplify 1 into 1
15.084 * [taylor]: Taking taylor expansion of (exp x) in y
15.084 * [taylor]: Taking taylor expansion of x in y
15.084 * [backup-simplify]: Simplify x into x
15.084 * [backup-simplify]: Simplify (exp x) into (exp x)
15.084 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
15.084 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
15.084 * [taylor]: Taking taylor expansion of (* x y) in y
15.084 * [taylor]: Taking taylor expansion of x in y
15.084 * [backup-simplify]: Simplify x into x
15.084 * [taylor]: Taking taylor expansion of y in y
15.084 * [backup-simplify]: Simplify 0 into 0
15.084 * [backup-simplify]: Simplify 1 into 1
15.084 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
15.084 * [backup-simplify]: Simplify (* x 0) into 0
15.084 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) 0) into 0
15.085 * [backup-simplify]: Simplify (+ 0 0) into 0
15.085 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2)
15.085 * [backup-simplify]: Simplify (sqrt (pow (log (+ (exp x) 1)) 2)) into (log (+ (exp x) 1))
15.085 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
15.086 * [backup-simplify]: Simplify (+ 0 0) into 0
15.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
15.086 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) 0) (* 0 (log (+ (exp x) 1)))) into 0
15.087 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
15.087 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
15.087 * [backup-simplify]: Simplify (+ 0 0) into 0
15.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
15.089 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) x) (* 0 0)) into (* x (log (+ (exp x) 1)))
15.089 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
15.089 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
15.089 * [backup-simplify]: Simplify (/ (* x (log (+ (exp x) 1))) (* 2 (sqrt (pow (log (+ (exp x) 1)) 2)))) into (* 1/2 x)
15.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
15.089 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
15.089 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
15.089 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.089 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.089 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.089 * [taylor]: Taking taylor expansion of 1 in x
15.089 * [backup-simplify]: Simplify 1 into 1
15.089 * [taylor]: Taking taylor expansion of (exp x) in x
15.089 * [taylor]: Taking taylor expansion of x in x
15.089 * [backup-simplify]: Simplify 0 into 0
15.089 * [backup-simplify]: Simplify 1 into 1
15.089 * [backup-simplify]: Simplify (exp 0) into 1
15.089 * [backup-simplify]: Simplify (+ 1 1) into 2
15.090 * [backup-simplify]: Simplify (log 2) into (log 2)
15.090 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
15.090 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.090 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.090 * [taylor]: Taking taylor expansion of x in x
15.090 * [backup-simplify]: Simplify 0 into 0
15.090 * [backup-simplify]: Simplify 1 into 1
15.090 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.090 * [taylor]: Taking taylor expansion of y in x
15.090 * [backup-simplify]: Simplify y into y
15.090 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
15.090 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.090 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.090 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.090 * [taylor]: Taking taylor expansion of 1 in x
15.090 * [backup-simplify]: Simplify 1 into 1
15.090 * [taylor]: Taking taylor expansion of (exp x) in x
15.090 * [taylor]: Taking taylor expansion of x in x
15.090 * [backup-simplify]: Simplify 0 into 0
15.090 * [backup-simplify]: Simplify 1 into 1
15.090 * [backup-simplify]: Simplify (exp 0) into 1
15.090 * [backup-simplify]: Simplify (+ 1 1) into 2
15.091 * [backup-simplify]: Simplify (log 2) into (log 2)
15.091 * [taylor]: Taking taylor expansion of (* x y) in x
15.091 * [taylor]: Taking taylor expansion of x in x
15.091 * [backup-simplify]: Simplify 0 into 0
15.091 * [backup-simplify]: Simplify 1 into 1
15.091 * [taylor]: Taking taylor expansion of y in x
15.091 * [backup-simplify]: Simplify y into y
15.091 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
15.091 * [backup-simplify]: Simplify (* 0 y) into 0
15.092 * [backup-simplify]: Simplify (* (log 2) 0) into 0
15.092 * [backup-simplify]: Simplify (+ 0 0) into 0
15.093 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
15.094 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
15.094 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
15.095 * [backup-simplify]: Simplify (+ 0 1) into 1
15.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
15.097 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
15.097 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.098 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
15.098 * [backup-simplify]: Simplify (+ 0 1) into 1
15.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
15.100 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
15.100 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
15.100 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
15.102 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
15.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
15.102 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
15.102 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
15.102 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.102 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.102 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.102 * [taylor]: Taking taylor expansion of 1 in x
15.102 * [backup-simplify]: Simplify 1 into 1
15.102 * [taylor]: Taking taylor expansion of (exp x) in x
15.102 * [taylor]: Taking taylor expansion of x in x
15.102 * [backup-simplify]: Simplify 0 into 0
15.102 * [backup-simplify]: Simplify 1 into 1
15.102 * [backup-simplify]: Simplify (exp 0) into 1
15.103 * [backup-simplify]: Simplify (+ 1 1) into 2
15.103 * [backup-simplify]: Simplify (log 2) into (log 2)
15.103 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
15.103 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.103 * [taylor]: Taking taylor expansion of x in x
15.103 * [backup-simplify]: Simplify 0 into 0
15.103 * [backup-simplify]: Simplify 1 into 1
15.103 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.103 * [taylor]: Taking taylor expansion of y in x
15.103 * [backup-simplify]: Simplify y into y
15.103 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
15.103 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.103 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.103 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.103 * [taylor]: Taking taylor expansion of 1 in x
15.103 * [backup-simplify]: Simplify 1 into 1
15.103 * [taylor]: Taking taylor expansion of (exp x) in x
15.103 * [taylor]: Taking taylor expansion of x in x
15.103 * [backup-simplify]: Simplify 0 into 0
15.103 * [backup-simplify]: Simplify 1 into 1
15.103 * [backup-simplify]: Simplify (exp 0) into 1
15.103 * [backup-simplify]: Simplify (+ 1 1) into 2
15.104 * [backup-simplify]: Simplify (log 2) into (log 2)
15.104 * [taylor]: Taking taylor expansion of (* x y) in x
15.104 * [taylor]: Taking taylor expansion of x in x
15.104 * [backup-simplify]: Simplify 0 into 0
15.104 * [backup-simplify]: Simplify 1 into 1
15.104 * [taylor]: Taking taylor expansion of y in x
15.104 * [backup-simplify]: Simplify y into y
15.104 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
15.105 * [backup-simplify]: Simplify (* 0 y) into 0
15.105 * [backup-simplify]: Simplify (* (log 2) 0) into 0
15.105 * [backup-simplify]: Simplify (+ 0 0) into 0
15.106 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
15.107 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
15.107 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
15.108 * [backup-simplify]: Simplify (+ 0 1) into 1
15.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
15.110 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
15.110 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.111 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
15.111 * [backup-simplify]: Simplify (+ 0 1) into 1
15.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
15.112 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
15.113 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
15.113 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
15.117 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
15.117 * [taylor]: Taking taylor expansion of (log 2) in y
15.117 * [taylor]: Taking taylor expansion of 2 in y
15.117 * [backup-simplify]: Simplify 2 into 2
15.118 * [backup-simplify]: Simplify (log 2) into (log 2)
15.118 * [backup-simplify]: Simplify (log 2) into (log 2)
15.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) in y
15.118 * [taylor]: Taking taylor expansion of 1/2 in y
15.118 * [backup-simplify]: Simplify 1/2 into 1/2
15.118 * [taylor]: Taking taylor expansion of (/ (+ (log 2) (* (log 2) y)) (log 2)) in y
15.118 * [taylor]: Taking taylor expansion of (+ (log 2) (* (log 2) y)) in y
15.118 * [taylor]: Taking taylor expansion of (log 2) in y
15.118 * [taylor]: Taking taylor expansion of 2 in y
15.118 * [backup-simplify]: Simplify 2 into 2
15.119 * [backup-simplify]: Simplify (log 2) into (log 2)
15.119 * [taylor]: Taking taylor expansion of (* (log 2) y) in y
15.119 * [taylor]: Taking taylor expansion of (log 2) in y
15.119 * [taylor]: Taking taylor expansion of 2 in y
15.119 * [backup-simplify]: Simplify 2 into 2
15.119 * [backup-simplify]: Simplify (log 2) into (log 2)
15.119 * [taylor]: Taking taylor expansion of y in y
15.119 * [backup-simplify]: Simplify 0 into 0
15.119 * [backup-simplify]: Simplify 1 into 1
15.119 * [taylor]: Taking taylor expansion of (log 2) in y
15.119 * [taylor]: Taking taylor expansion of 2 in y
15.119 * [backup-simplify]: Simplify 2 into 2
15.120 * [backup-simplify]: Simplify (log 2) into (log 2)
15.120 * [backup-simplify]: Simplify (* (log 2) 0) into 0
15.121 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
15.122 * [backup-simplify]: Simplify (/ (log 2) (log 2)) into 1
15.123 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.123 * [backup-simplify]: Simplify 1/2 into 1/2
15.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
15.124 * [backup-simplify]: Simplify 0 into 0
15.126 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
15.126 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
15.129 * [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
15.132 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
15.133 * [backup-simplify]: Simplify (* 1 1) into 1
15.133 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.133 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
15.135 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
15.136 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
15.138 * [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
15.139 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 1/2 y) (* 1/8 0))) into (* 1/2 y)
15.139 * [backup-simplify]: Simplify (+ (pow y 2) (* 1/2 y)) into (+ (pow y 2) (* 1/2 y))
15.141 * [backup-simplify]: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (+ (pow y 2) (* 1/2 y))) into (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4)))
15.144 * [backup-simplify]: Simplify (/ (- (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4))) (pow (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) 2) (+)) (* 2 (log 2))) into (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)))
15.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2))) in y
15.144 * [taylor]: Taking taylor expansion of 1/2 in y
15.144 * [backup-simplify]: Simplify 1/2 into 1/2
15.144 * [taylor]: Taking taylor expansion of (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)) in y
15.144 * [taylor]: Taking taylor expansion of (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) in y
15.144 * [taylor]: Taking taylor expansion of (* 1/4 (log 2)) in y
15.144 * [taylor]: Taking taylor expansion of 1/4 in y
15.144 * [backup-simplify]: Simplify 1/4 into 1/4
15.144 * [taylor]: Taking taylor expansion of (log 2) in y
15.144 * [taylor]: Taking taylor expansion of 2 in y
15.144 * [backup-simplify]: Simplify 2 into 2
15.144 * [backup-simplify]: Simplify (log 2) into (log 2)
15.144 * [taylor]: Taking taylor expansion of (* 3/4 (pow y 2)) in y
15.144 * [taylor]: Taking taylor expansion of 3/4 in y
15.144 * [backup-simplify]: Simplify 3/4 into 3/4
15.145 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.145 * [taylor]: Taking taylor expansion of y in y
15.145 * [backup-simplify]: Simplify 0 into 0
15.145 * [backup-simplify]: Simplify 1 into 1
15.145 * [taylor]: Taking taylor expansion of (log 2) in y
15.145 * [taylor]: Taking taylor expansion of 2 in y
15.145 * [backup-simplify]: Simplify 2 into 2
15.145 * [backup-simplify]: Simplify (log 2) into (log 2)
15.146 * [backup-simplify]: Simplify (* 1/4 (log 2)) into (* 1/4 (log 2))
15.147 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 0) into (* 1/4 (log 2))
15.149 * [backup-simplify]: Simplify (/ (* 1/4 (log 2)) (log 2)) into 1/4
15.150 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8
15.150 * [backup-simplify]: Simplify 1/8 into 1/8
15.150 * [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))))
15.151 * [backup-simplify]: Simplify (sqrt (+ (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) (+ (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))))
15.151 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in (x y) around 0
15.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in y
15.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in y
15.151 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
15.151 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
15.151 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.151 * [taylor]: Taking taylor expansion of x in y
15.151 * [backup-simplify]: Simplify x into x
15.151 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.151 * [taylor]: Taking taylor expansion of y in y
15.151 * [backup-simplify]: Simplify 0 into 0
15.151 * [backup-simplify]: Simplify 1 into 1
15.151 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.152 * [backup-simplify]: Simplify (* 1 1) into 1
15.152 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
15.152 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.152 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in y
15.152 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in y
15.152 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
15.152 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.152 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
15.152 * [taylor]: Taking taylor expansion of 1 in y
15.152 * [backup-simplify]: Simplify 1 into 1
15.152 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.152 * [taylor]: Taking taylor expansion of x in y
15.152 * [backup-simplify]: Simplify x into x
15.152 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.152 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.152 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.152 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.152 * [taylor]: Taking taylor expansion of (* x y) in y
15.152 * [taylor]: Taking taylor expansion of x in y
15.152 * [backup-simplify]: Simplify x into x
15.152 * [taylor]: Taking taylor expansion of y in y
15.152 * [backup-simplify]: Simplify 0 into 0
15.153 * [backup-simplify]: Simplify 1 into 1
15.153 * [backup-simplify]: Simplify (* x 0) into 0
15.153 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
15.153 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) x) into (/ (log (+ (exp (/ 1 x)) 1)) x)
15.153 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
15.153 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
15.153 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.153 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
15.153 * [taylor]: Taking taylor expansion of 1 in y
15.153 * [backup-simplify]: Simplify 1 into 1
15.153 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.153 * [taylor]: Taking taylor expansion of x in y
15.153 * [backup-simplify]: Simplify x into x
15.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.153 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.154 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.154 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.154 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
15.154 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
15.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.155 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
15.155 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
15.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
15.155 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) x) 0) into (/ (log (+ (exp (/ 1 x)) 1)) x)
15.156 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) x)) into (/ (log (+ (exp (/ 1 x)) 1)) x)
15.156 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
15.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
15.156 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.156 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.156 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.156 * [taylor]: Taking taylor expansion of x in x
15.156 * [backup-simplify]: Simplify 0 into 0
15.156 * [backup-simplify]: Simplify 1 into 1
15.156 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.156 * [taylor]: Taking taylor expansion of y in x
15.156 * [backup-simplify]: Simplify y into y
15.157 * [backup-simplify]: Simplify (* 1 1) into 1
15.157 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.157 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.157 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.157 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
15.157 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
15.157 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.157 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.157 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.157 * [taylor]: Taking taylor expansion of 1 in x
15.157 * [backup-simplify]: Simplify 1 into 1
15.157 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.157 * [taylor]: Taking taylor expansion of x in x
15.157 * [backup-simplify]: Simplify 0 into 0
15.157 * [backup-simplify]: Simplify 1 into 1
15.157 * [backup-simplify]: Simplify (/ 1 1) into 1
15.158 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.158 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.158 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.158 * [taylor]: Taking taylor expansion of (* x y) in x
15.158 * [taylor]: Taking taylor expansion of x in x
15.158 * [backup-simplify]: Simplify 0 into 0
15.158 * [backup-simplify]: Simplify 1 into 1
15.158 * [taylor]: Taking taylor expansion of y in x
15.158 * [backup-simplify]: Simplify y into y
15.158 * [backup-simplify]: Simplify (* 0 y) into 0
15.158 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.158 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.158 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
15.158 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.159 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.159 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.159 * [taylor]: Taking taylor expansion of 1 in x
15.159 * [backup-simplify]: Simplify 1 into 1
15.159 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.159 * [taylor]: Taking taylor expansion of x in x
15.159 * [backup-simplify]: Simplify 0 into 0
15.159 * [backup-simplify]: Simplify 1 into 1
15.159 * [backup-simplify]: Simplify (/ 1 1) into 1
15.159 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.159 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.159 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.160 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.160 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.160 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.161 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.161 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.161 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
15.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
15.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.162 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.162 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.162 * [taylor]: Taking taylor expansion of x in x
15.162 * [backup-simplify]: Simplify 0 into 0
15.162 * [backup-simplify]: Simplify 1 into 1
15.162 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.162 * [taylor]: Taking taylor expansion of y in x
15.162 * [backup-simplify]: Simplify y into y
15.162 * [backup-simplify]: Simplify (* 1 1) into 1
15.162 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.162 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.162 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.162 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
15.162 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
15.163 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.163 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.163 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.163 * [taylor]: Taking taylor expansion of 1 in x
15.163 * [backup-simplify]: Simplify 1 into 1
15.163 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.163 * [taylor]: Taking taylor expansion of x in x
15.163 * [backup-simplify]: Simplify 0 into 0
15.163 * [backup-simplify]: Simplify 1 into 1
15.163 * [backup-simplify]: Simplify (/ 1 1) into 1
15.163 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.163 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.163 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.163 * [taylor]: Taking taylor expansion of (* x y) in x
15.163 * [taylor]: Taking taylor expansion of x in x
15.163 * [backup-simplify]: Simplify 0 into 0
15.164 * [backup-simplify]: Simplify 1 into 1
15.164 * [taylor]: Taking taylor expansion of y in x
15.164 * [backup-simplify]: Simplify y into y
15.164 * [backup-simplify]: Simplify (* 0 y) into 0
15.164 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.164 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.164 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
15.164 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.164 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.164 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.164 * [taylor]: Taking taylor expansion of 1 in x
15.164 * [backup-simplify]: Simplify 1 into 1
15.164 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.164 * [taylor]: Taking taylor expansion of x in x
15.164 * [backup-simplify]: Simplify 0 into 0
15.164 * [backup-simplify]: Simplify 1 into 1
15.165 * [backup-simplify]: Simplify (/ 1 1) into 1
15.165 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.165 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.165 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.165 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.165 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.165 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.167 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.167 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.167 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y
15.167 * [taylor]: Taking taylor expansion of y in y
15.167 * [backup-simplify]: Simplify 0 into 0
15.167 * [backup-simplify]: Simplify 1 into 1
15.168 * [backup-simplify]: Simplify (/ 1 1) into 1
15.168 * [backup-simplify]: Simplify 1 into 1
15.168 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ 1 x)) 1))) in y
15.168 * [taylor]: Taking taylor expansion of 1/2 in y
15.168 * [backup-simplify]: Simplify 1/2 into 1/2
15.168 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.168 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.168 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.168 * [taylor]: Taking taylor expansion of x in y
15.168 * [backup-simplify]: Simplify x into x
15.168 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.168 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.168 * [taylor]: Taking taylor expansion of 1 in y
15.168 * [backup-simplify]: Simplify 1 into 1
15.168 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.168 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.169 * [backup-simplify]: Simplify 0 into 0
15.170 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
15.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.172 * [backup-simplify]: Simplify (+ 0 0) into 0
15.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
15.174 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)))) into 0
15.174 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.174 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.174 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.175 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ 1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ 1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)))
15.175 * [taylor]: Taking taylor expansion of (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) in y
15.175 * [taylor]: Taking taylor expansion of 3/8 in y
15.175 * [backup-simplify]: Simplify 3/8 into 3/8
15.175 * [taylor]: Taking taylor expansion of (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y
15.175 * [taylor]: Taking taylor expansion of y in y
15.175 * [backup-simplify]: Simplify 0 into 0
15.175 * [backup-simplify]: Simplify 1 into 1
15.175 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y
15.175 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.175 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.175 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.175 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.175 * [taylor]: Taking taylor expansion of x in y
15.175 * [backup-simplify]: Simplify x into x
15.175 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.175 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.175 * [taylor]: Taking taylor expansion of 1 in y
15.175 * [backup-simplify]: Simplify 1 into 1
15.176 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.176 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.176 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.176 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.177 * [backup-simplify]: Simplify 0 into 0
15.178 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
15.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
15.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.181 * [backup-simplify]: Simplify (+ 0 0) into 0
15.182 * [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
15.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
15.184 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.184 * [backup-simplify]: Simplify (+ 0 0) into 0
15.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.185 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.186 * [backup-simplify]: Simplify (+ 0 0) into 0
15.186 * [backup-simplify]: Simplify (+ 0 0) into 0
15.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)))
15.187 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))) in y
15.187 * [taylor]: Taking taylor expansion of -3/16 in y
15.187 * [backup-simplify]: Simplify -3/16 into -3/16
15.187 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)) in y
15.187 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.187 * [taylor]: Taking taylor expansion of y in y
15.187 * [backup-simplify]: Simplify 0 into 0
15.187 * [backup-simplify]: Simplify 1 into 1
15.187 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 3) in y
15.187 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.187 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.187 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.187 * [taylor]: Taking taylor expansion of x in y
15.187 * [backup-simplify]: Simplify x into x
15.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.187 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.187 * [taylor]: Taking taylor expansion of 1 in y
15.187 * [backup-simplify]: Simplify 1 into 1
15.187 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.187 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.188 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.188 * [backup-simplify]: Simplify (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into 0
15.188 * [backup-simplify]: Simplify (* 3/8 0) into 0
15.188 * [backup-simplify]: Simplify 0 into 0
15.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
15.189 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.190 * [backup-simplify]: Simplify (+ 0 0) into 0
15.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.191 * [backup-simplify]: Simplify 0 into 0
15.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.192 * [backup-simplify]: Simplify 0 into 0
15.193 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
15.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.196 * [backup-simplify]: Simplify (+ 0 0) into 0
15.199 * [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
15.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.201 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.201 * [backup-simplify]: Simplify (+ 0 0) into 0
15.203 * [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
15.204 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
15.204 * [backup-simplify]: Simplify (+ 0 0) into 0
15.204 * [backup-simplify]: Simplify (+ 0 0) into 0
15.205 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)))
15.205 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4))) in y
15.205 * [taylor]: Taking taylor expansion of 3/128 in y
15.205 * [backup-simplify]: Simplify 3/128 into 3/128
15.205 * [taylor]: Taking taylor expansion of (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)) in y
15.205 * [taylor]: Taking taylor expansion of (pow y 3) in y
15.205 * [taylor]: Taking taylor expansion of y in y
15.205 * [backup-simplify]: Simplify 0 into 0
15.205 * [backup-simplify]: Simplify 1 into 1
15.205 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 4) in y
15.205 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.205 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.205 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.205 * [taylor]: Taking taylor expansion of x in y
15.206 * [backup-simplify]: Simplify x into x
15.206 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.206 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.206 * [taylor]: Taking taylor expansion of 1 in y
15.206 * [backup-simplify]: Simplify 1 into 1
15.206 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.206 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
15.207 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.207 * [backup-simplify]: Simplify (+ 0 0) into 0
15.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.208 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.208 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.209 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
15.209 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
15.210 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2)) (* (/ 1 y) (/ 1 x))) (+ (* 1/2 (log (+ (exp (/ 1 (/ 1 x))) 1))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
15.210 * [backup-simplify]: Simplify (sqrt (+ (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) (+ (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))))
15.210 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in (x y) around 0
15.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in y
15.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in y
15.211 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
15.211 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
15.211 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.211 * [taylor]: Taking taylor expansion of x in y
15.211 * [backup-simplify]: Simplify x into x
15.211 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.211 * [taylor]: Taking taylor expansion of y in y
15.211 * [backup-simplify]: Simplify 0 into 0
15.211 * [backup-simplify]: Simplify 1 into 1
15.211 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.211 * [backup-simplify]: Simplify (* 1 1) into 1
15.211 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
15.211 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.211 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in y
15.211 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
15.212 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
15.212 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.212 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
15.212 * [taylor]: Taking taylor expansion of 1 in y
15.212 * [backup-simplify]: Simplify 1 into 1
15.212 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.212 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.212 * [taylor]: Taking taylor expansion of -1 in y
15.212 * [backup-simplify]: Simplify -1 into -1
15.212 * [taylor]: Taking taylor expansion of x in y
15.212 * [backup-simplify]: Simplify x into x
15.212 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.212 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.212 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.212 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.212 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in y
15.212 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
15.212 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.212 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
15.212 * [taylor]: Taking taylor expansion of 1 in y
15.212 * [backup-simplify]: Simplify 1 into 1
15.212 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.212 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.212 * [taylor]: Taking taylor expansion of -1 in y
15.212 * [backup-simplify]: Simplify -1 into -1
15.212 * [taylor]: Taking taylor expansion of x in y
15.212 * [backup-simplify]: Simplify x into x
15.212 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.212 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.213 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.213 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.213 * [taylor]: Taking taylor expansion of (* x y) in y
15.213 * [taylor]: Taking taylor expansion of x in y
15.213 * [backup-simplify]: Simplify x into x
15.213 * [taylor]: Taking taylor expansion of y in y
15.213 * [backup-simplify]: Simplify 0 into 0
15.213 * [backup-simplify]: Simplify 1 into 1
15.213 * [backup-simplify]: Simplify (* x 0) into 0
15.213 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
15.214 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) x) into (/ (log (+ (exp (/ -1 x)) 1)) x)
15.214 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
15.214 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
15.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.215 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
15.215 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
15.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
15.215 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
15.215 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
15.216 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
15.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
15.216 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.216 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.216 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.216 * [taylor]: Taking taylor expansion of x in x
15.216 * [backup-simplify]: Simplify 0 into 0
15.216 * [backup-simplify]: Simplify 1 into 1
15.216 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.216 * [taylor]: Taking taylor expansion of y in x
15.216 * [backup-simplify]: Simplify y into y
15.216 * [backup-simplify]: Simplify (* 1 1) into 1
15.216 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.217 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.217 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.217 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
15.217 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
15.217 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.217 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.217 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.217 * [taylor]: Taking taylor expansion of 1 in x
15.217 * [backup-simplify]: Simplify 1 into 1
15.217 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.217 * [taylor]: Taking taylor expansion of -1 in x
15.217 * [backup-simplify]: Simplify -1 into -1
15.217 * [taylor]: Taking taylor expansion of x in x
15.217 * [backup-simplify]: Simplify 0 into 0
15.217 * [backup-simplify]: Simplify 1 into 1
15.217 * [backup-simplify]: Simplify (/ -1 1) into -1
15.217 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.218 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.218 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.218 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
15.218 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.218 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.218 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.218 * [taylor]: Taking taylor expansion of 1 in x
15.218 * [backup-simplify]: Simplify 1 into 1
15.218 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.218 * [taylor]: Taking taylor expansion of -1 in x
15.218 * [backup-simplify]: Simplify -1 into -1
15.218 * [taylor]: Taking taylor expansion of x in x
15.218 * [backup-simplify]: Simplify 0 into 0
15.218 * [backup-simplify]: Simplify 1 into 1
15.218 * [backup-simplify]: Simplify (/ -1 1) into -1
15.219 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.219 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.219 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.219 * [taylor]: Taking taylor expansion of (* x y) in x
15.219 * [taylor]: Taking taylor expansion of x in x
15.219 * [backup-simplify]: Simplify 0 into 0
15.219 * [backup-simplify]: Simplify 1 into 1
15.219 * [taylor]: Taking taylor expansion of y in x
15.219 * [backup-simplify]: Simplify y into y
15.219 * [backup-simplify]: Simplify (* 0 y) into 0
15.219 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.219 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.220 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.220 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.220 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.221 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.221 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.221 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
15.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
15.222 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.222 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.222 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.222 * [taylor]: Taking taylor expansion of x in x
15.222 * [backup-simplify]: Simplify 0 into 0
15.222 * [backup-simplify]: Simplify 1 into 1
15.222 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.222 * [taylor]: Taking taylor expansion of y in x
15.222 * [backup-simplify]: Simplify y into y
15.222 * [backup-simplify]: Simplify (* 1 1) into 1
15.222 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.222 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.222 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
15.222 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
15.222 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.222 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.222 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.223 * [taylor]: Taking taylor expansion of 1 in x
15.223 * [backup-simplify]: Simplify 1 into 1
15.223 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.223 * [taylor]: Taking taylor expansion of -1 in x
15.223 * [backup-simplify]: Simplify -1 into -1
15.223 * [taylor]: Taking taylor expansion of x in x
15.223 * [backup-simplify]: Simplify 0 into 0
15.223 * [backup-simplify]: Simplify 1 into 1
15.223 * [backup-simplify]: Simplify (/ -1 1) into -1
15.223 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.223 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.223 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.223 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
15.223 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.223 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.224 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.224 * [taylor]: Taking taylor expansion of 1 in x
15.224 * [backup-simplify]: Simplify 1 into 1
15.224 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.224 * [taylor]: Taking taylor expansion of -1 in x
15.224 * [backup-simplify]: Simplify -1 into -1
15.224 * [taylor]: Taking taylor expansion of x in x
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [backup-simplify]: Simplify 1 into 1
15.224 * [backup-simplify]: Simplify (/ -1 1) into -1
15.224 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.224 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.224 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.224 * [taylor]: Taking taylor expansion of (* x y) in x
15.224 * [taylor]: Taking taylor expansion of x in x
15.224 * [backup-simplify]: Simplify 0 into 0
15.224 * [backup-simplify]: Simplify 1 into 1
15.225 * [taylor]: Taking taylor expansion of y in x
15.225 * [backup-simplify]: Simplify y into y
15.225 * [backup-simplify]: Simplify (* 0 y) into 0
15.225 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.225 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.225 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.225 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.225 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.227 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.227 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.227 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y
15.227 * [taylor]: Taking taylor expansion of y in y
15.227 * [backup-simplify]: Simplify 0 into 0
15.227 * [backup-simplify]: Simplify 1 into 1
15.228 * [backup-simplify]: Simplify (/ 1 1) into 1
15.228 * [backup-simplify]: Simplify 1 into 1
15.228 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ -1 x)) 1))) in y
15.228 * [taylor]: Taking taylor expansion of 1/2 in y
15.228 * [backup-simplify]: Simplify 1/2 into 1/2
15.228 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.228 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.228 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.228 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.228 * [taylor]: Taking taylor expansion of -1 in y
15.228 * [backup-simplify]: Simplify -1 into -1
15.228 * [taylor]: Taking taylor expansion of x in y
15.228 * [backup-simplify]: Simplify x into x
15.228 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.228 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.228 * [taylor]: Taking taylor expansion of 1 in y
15.228 * [backup-simplify]: Simplify 1 into 1
15.228 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.228 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.229 * [backup-simplify]: Simplify 0 into 0
15.229 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
15.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.231 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.231 * [backup-simplify]: Simplify (+ 0 0) into 0
15.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
15.232 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)))) into 0
15.232 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.232 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.233 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ -1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y))
15.233 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) in y
15.233 * [taylor]: Taking taylor expansion of 3/8 in y
15.233 * [backup-simplify]: Simplify 3/8 into 3/8
15.233 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y) in y
15.233 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y
15.233 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.233 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.233 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.233 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.233 * [taylor]: Taking taylor expansion of -1 in y
15.233 * [backup-simplify]: Simplify -1 into -1
15.233 * [taylor]: Taking taylor expansion of x in y
15.233 * [backup-simplify]: Simplify x into x
15.233 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.233 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.233 * [taylor]: Taking taylor expansion of 1 in y
15.233 * [backup-simplify]: Simplify 1 into 1
15.233 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.233 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.233 * [taylor]: Taking taylor expansion of y in y
15.233 * [backup-simplify]: Simplify 0 into 0
15.233 * [backup-simplify]: Simplify 1 into 1
15.233 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.234 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.234 * [backup-simplify]: Simplify 0 into 0
15.235 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
15.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
15.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.236 * [backup-simplify]: Simplify (+ 0 0) into 0
15.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.237 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.237 * [backup-simplify]: Simplify (+ 0 0) into 0
15.238 * [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
15.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
15.239 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.239 * [backup-simplify]: Simplify (+ 0 0) into 0
15.240 * [backup-simplify]: Simplify (+ 0 0) into 0
15.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)))
15.240 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))) in y
15.240 * [taylor]: Taking taylor expansion of -3/16 in y
15.240 * [backup-simplify]: Simplify -3/16 into -3/16
15.240 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)) in y
15.240 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 3) in y
15.240 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.240 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.240 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.240 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.240 * [taylor]: Taking taylor expansion of -1 in y
15.240 * [backup-simplify]: Simplify -1 into -1
15.240 * [taylor]: Taking taylor expansion of x in y
15.240 * [backup-simplify]: Simplify x into x
15.240 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.240 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.240 * [taylor]: Taking taylor expansion of 1 in y
15.240 * [backup-simplify]: Simplify 1 into 1
15.240 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.240 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.240 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.240 * [taylor]: Taking taylor expansion of y in y
15.240 * [backup-simplify]: Simplify 0 into 0
15.240 * [backup-simplify]: Simplify 1 into 1
15.241 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.241 * [backup-simplify]: Simplify (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into 0
15.241 * [backup-simplify]: Simplify (* 3/8 0) into 0
15.241 * [backup-simplify]: Simplify 0 into 0
15.241 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
15.242 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.242 * [backup-simplify]: Simplify (+ 0 0) into 0
15.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.243 * [backup-simplify]: Simplify 0 into 0
15.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.243 * [backup-simplify]: Simplify 0 into 0
15.244 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
15.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.248 * [backup-simplify]: Simplify (+ 0 0) into 0
15.249 * [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
15.249 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
15.249 * [backup-simplify]: Simplify (+ 0 0) into 0
15.251 * [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
15.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.252 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.252 * [backup-simplify]: Simplify (+ 0 0) into 0
15.253 * [backup-simplify]: Simplify (+ 0 0) into 0
15.253 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)))
15.253 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3))) in y
15.253 * [taylor]: Taking taylor expansion of 3/128 in y
15.253 * [backup-simplify]: Simplify 3/128 into 3/128
15.253 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)) in y
15.253 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 4) in y
15.253 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.253 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.253 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.253 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.253 * [taylor]: Taking taylor expansion of -1 in y
15.253 * [backup-simplify]: Simplify -1 into -1
15.253 * [taylor]: Taking taylor expansion of x in y
15.253 * [backup-simplify]: Simplify x into x
15.254 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.254 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.254 * [taylor]: Taking taylor expansion of 1 in y
15.254 * [backup-simplify]: Simplify 1 into 1
15.254 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.254 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.254 * [taylor]: Taking taylor expansion of (pow y 3) in y
15.254 * [taylor]: Taking taylor expansion of y in y
15.254 * [backup-simplify]: Simplify 0 into 0
15.254 * [backup-simplify]: Simplify 1 into 1
15.254 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
15.254 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.255 * [backup-simplify]: Simplify (+ 0 0) into 0
15.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.255 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.256 * [backup-simplify]: Simplify (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 1) (* 0 0)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.256 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
15.256 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
15.257 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2)) (* (/ 1 (- y)) (/ 1 (- x)))) (+ (* 1/2 (log (+ (exp (/ -1 (/ 1 (- x)))) 1))) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
15.257 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
15.257 * [backup-simplify]: Simplify (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) into (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))))
15.257 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in (x y) around 0
15.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in y
15.257 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in y
15.257 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
15.257 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
15.257 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.257 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
15.257 * [taylor]: Taking taylor expansion of 1 in y
15.257 * [backup-simplify]: Simplify 1 into 1
15.257 * [taylor]: Taking taylor expansion of (exp x) in y
15.257 * [taylor]: Taking taylor expansion of x in y
15.257 * [backup-simplify]: Simplify x into x
15.257 * [backup-simplify]: Simplify (exp x) into (exp x)
15.257 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
15.257 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
15.257 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in y
15.257 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
15.257 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.257 * [taylor]: Taking taylor expansion of x in y
15.257 * [backup-simplify]: Simplify x into x
15.257 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.257 * [taylor]: Taking taylor expansion of y in y
15.257 * [backup-simplify]: Simplify 0 into 0
15.257 * [backup-simplify]: Simplify 1 into 1
15.257 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in y
15.257 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
15.257 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.258 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
15.258 * [taylor]: Taking taylor expansion of 1 in y
15.258 * [backup-simplify]: Simplify 1 into 1
15.258 * [taylor]: Taking taylor expansion of (exp x) in y
15.258 * [taylor]: Taking taylor expansion of x in y
15.258 * [backup-simplify]: Simplify x into x
15.258 * [backup-simplify]: Simplify (exp x) into (exp x)
15.258 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
15.258 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
15.258 * [taylor]: Taking taylor expansion of (* x y) in y
15.258 * [taylor]: Taking taylor expansion of x in y
15.258 * [backup-simplify]: Simplify x into x
15.258 * [taylor]: Taking taylor expansion of y in y
15.258 * [backup-simplify]: Simplify 0 into 0
15.258 * [backup-simplify]: Simplify 1 into 1
15.258 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
15.258 * [backup-simplify]: Simplify (* x 0) into 0
15.258 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) 0) into 0
15.258 * [backup-simplify]: Simplify (+ 0 0) into 0
15.258 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2)
15.258 * [backup-simplify]: Simplify (sqrt (pow (log (+ (exp x) 1)) 2)) into (log (+ (exp x) 1))
15.259 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
15.259 * [backup-simplify]: Simplify (+ 0 0) into 0
15.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
15.260 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) 0) (* 0 (log (+ (exp x) 1)))) into 0
15.260 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
15.260 * [backup-simplify]: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0
15.261 * [backup-simplify]: Simplify (+ 0 0) into 0
15.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp x) 1) 1)))) 1) into 0
15.261 * [backup-simplify]: Simplify (+ (* (log (+ (exp x) 1)) x) (* 0 0)) into (* x (log (+ (exp x) 1)))
15.262 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
15.262 * [backup-simplify]: Simplify (+ 0 (* x (log (+ (exp x) 1)))) into (* x (log (+ (exp x) 1)))
15.262 * [backup-simplify]: Simplify (/ (* x (log (+ (exp x) 1))) (* 2 (sqrt (pow (log (+ (exp x) 1)) 2)))) into (* 1/2 x)
15.262 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
15.262 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
15.262 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
15.262 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.262 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.262 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.262 * [taylor]: Taking taylor expansion of 1 in x
15.262 * [backup-simplify]: Simplify 1 into 1
15.262 * [taylor]: Taking taylor expansion of (exp x) in x
15.262 * [taylor]: Taking taylor expansion of x in x
15.262 * [backup-simplify]: Simplify 0 into 0
15.262 * [backup-simplify]: Simplify 1 into 1
15.262 * [backup-simplify]: Simplify (exp 0) into 1
15.262 * [backup-simplify]: Simplify (+ 1 1) into 2
15.263 * [backup-simplify]: Simplify (log 2) into (log 2)
15.263 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
15.263 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.263 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.263 * [taylor]: Taking taylor expansion of x in x
15.263 * [backup-simplify]: Simplify 0 into 0
15.263 * [backup-simplify]: Simplify 1 into 1
15.263 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.263 * [taylor]: Taking taylor expansion of y in x
15.263 * [backup-simplify]: Simplify y into y
15.263 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
15.263 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.263 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.263 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.263 * [taylor]: Taking taylor expansion of 1 in x
15.263 * [backup-simplify]: Simplify 1 into 1
15.263 * [taylor]: Taking taylor expansion of (exp x) in x
15.263 * [taylor]: Taking taylor expansion of x in x
15.263 * [backup-simplify]: Simplify 0 into 0
15.263 * [backup-simplify]: Simplify 1 into 1
15.263 * [backup-simplify]: Simplify (exp 0) into 1
15.263 * [backup-simplify]: Simplify (+ 1 1) into 2
15.263 * [backup-simplify]: Simplify (log 2) into (log 2)
15.263 * [taylor]: Taking taylor expansion of (* x y) in x
15.263 * [taylor]: Taking taylor expansion of x in x
15.263 * [backup-simplify]: Simplify 0 into 0
15.263 * [backup-simplify]: Simplify 1 into 1
15.263 * [taylor]: Taking taylor expansion of y in x
15.263 * [backup-simplify]: Simplify y into y
15.264 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
15.264 * [backup-simplify]: Simplify (* 0 y) into 0
15.265 * [backup-simplify]: Simplify (* (log 2) 0) into 0
15.265 * [backup-simplify]: Simplify (+ 0 0) into 0
15.266 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
15.266 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
15.267 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
15.267 * [backup-simplify]: Simplify (+ 0 1) into 1
15.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
15.270 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
15.270 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.270 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
15.271 * [backup-simplify]: Simplify (+ 0 1) into 1
15.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
15.272 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
15.272 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
15.273 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
15.274 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
15.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))))) in x
15.274 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
15.275 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
15.275 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.275 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.275 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.275 * [taylor]: Taking taylor expansion of 1 in x
15.275 * [backup-simplify]: Simplify 1 into 1
15.275 * [taylor]: Taking taylor expansion of (exp x) in x
15.275 * [taylor]: Taking taylor expansion of x in x
15.275 * [backup-simplify]: Simplify 0 into 0
15.275 * [backup-simplify]: Simplify 1 into 1
15.275 * [backup-simplify]: Simplify (exp 0) into 1
15.275 * [backup-simplify]: Simplify (+ 1 1) into 2
15.275 * [backup-simplify]: Simplify (log 2) into (log 2)
15.275 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
15.275 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.275 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.275 * [taylor]: Taking taylor expansion of x in x
15.275 * [backup-simplify]: Simplify 0 into 0
15.275 * [backup-simplify]: Simplify 1 into 1
15.275 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.275 * [taylor]: Taking taylor expansion of y in x
15.275 * [backup-simplify]: Simplify y into y
15.275 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
15.275 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.275 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.275 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.275 * [taylor]: Taking taylor expansion of 1 in x
15.275 * [backup-simplify]: Simplify 1 into 1
15.275 * [taylor]: Taking taylor expansion of (exp x) in x
15.276 * [taylor]: Taking taylor expansion of x in x
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [backup-simplify]: Simplify 1 into 1
15.276 * [backup-simplify]: Simplify (exp 0) into 1
15.276 * [backup-simplify]: Simplify (+ 1 1) into 2
15.276 * [backup-simplify]: Simplify (log 2) into (log 2)
15.276 * [taylor]: Taking taylor expansion of (* x y) in x
15.276 * [taylor]: Taking taylor expansion of x in x
15.276 * [backup-simplify]: Simplify 0 into 0
15.276 * [backup-simplify]: Simplify 1 into 1
15.276 * [taylor]: Taking taylor expansion of y in x
15.276 * [backup-simplify]: Simplify y into y
15.277 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
15.277 * [backup-simplify]: Simplify (* 0 y) into 0
15.277 * [backup-simplify]: Simplify (* (log 2) 0) into 0
15.277 * [backup-simplify]: Simplify (+ 0 0) into 0
15.278 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
15.279 * [backup-simplify]: Simplify (sqrt (pow (log 2) 2)) into (log 2)
15.280 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
15.281 * [backup-simplify]: Simplify (+ 0 1) into 1
15.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
15.285 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
15.285 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.286 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
15.287 * [backup-simplify]: Simplify (+ 0 1) into 1
15.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
15.289 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
15.289 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
15.290 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
15.293 * [backup-simplify]: Simplify (/ (+ (log 2) (* (log 2) y)) (* 2 (sqrt (pow (log 2) 2)))) into (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2)))
15.293 * [taylor]: Taking taylor expansion of (log 2) in y
15.293 * [taylor]: Taking taylor expansion of 2 in y
15.293 * [backup-simplify]: Simplify 2 into 2
15.293 * [backup-simplify]: Simplify (log 2) into (log 2)
15.294 * [backup-simplify]: Simplify (log 2) into (log 2)
15.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) in y
15.294 * [taylor]: Taking taylor expansion of 1/2 in y
15.294 * [backup-simplify]: Simplify 1/2 into 1/2
15.294 * [taylor]: Taking taylor expansion of (/ (+ (log 2) (* (log 2) y)) (log 2)) in y
15.294 * [taylor]: Taking taylor expansion of (+ (log 2) (* (log 2) y)) in y
15.294 * [taylor]: Taking taylor expansion of (log 2) in y
15.294 * [taylor]: Taking taylor expansion of 2 in y
15.294 * [backup-simplify]: Simplify 2 into 2
15.294 * [backup-simplify]: Simplify (log 2) into (log 2)
15.294 * [taylor]: Taking taylor expansion of (* (log 2) y) in y
15.294 * [taylor]: Taking taylor expansion of (log 2) in y
15.294 * [taylor]: Taking taylor expansion of 2 in y
15.294 * [backup-simplify]: Simplify 2 into 2
15.295 * [backup-simplify]: Simplify (log 2) into (log 2)
15.295 * [taylor]: Taking taylor expansion of y in y
15.295 * [backup-simplify]: Simplify 0 into 0
15.295 * [backup-simplify]: Simplify 1 into 1
15.295 * [taylor]: Taking taylor expansion of (log 2) in y
15.295 * [taylor]: Taking taylor expansion of 2 in y
15.295 * [backup-simplify]: Simplify 2 into 2
15.295 * [backup-simplify]: Simplify (log 2) into (log 2)
15.296 * [backup-simplify]: Simplify (* (log 2) 0) into 0
15.297 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
15.298 * [backup-simplify]: Simplify (/ (log 2) (log 2)) into 1
15.298 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.298 * [backup-simplify]: Simplify 1/2 into 1/2
15.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
15.300 * [backup-simplify]: Simplify 0 into 0
15.301 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
15.302 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
15.304 * [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
15.308 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
15.309 * [backup-simplify]: Simplify (* 1 1) into 1
15.309 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.309 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
15.311 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
15.312 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
15.314 * [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
15.315 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 1/2 y) (* 1/8 0))) into (* 1/2 y)
15.315 * [backup-simplify]: Simplify (+ (pow y 2) (* 1/2 y)) into (+ (pow y 2) (* 1/2 y))
15.316 * [backup-simplify]: Simplify (+ (+ (* 1/4 (log 2)) 1/4) (+ (pow y 2) (* 1/2 y))) into (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4)))
15.318 * [backup-simplify]: Simplify (/ (- (+ (* 1/4 (log 2)) (+ (pow y 2) (+ (* 1/2 y) 1/4))) (pow (* 1/2 (/ (+ (log 2) (* (log 2) y)) (log 2))) 2) (+)) (* 2 (log 2))) into (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)))
15.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2))) in y
15.319 * [taylor]: Taking taylor expansion of 1/2 in y
15.319 * [backup-simplify]: Simplify 1/2 into 1/2
15.319 * [taylor]: Taking taylor expansion of (/ (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) (log 2)) in y
15.319 * [taylor]: Taking taylor expansion of (+ (* 1/4 (log 2)) (* 3/4 (pow y 2))) in y
15.319 * [taylor]: Taking taylor expansion of (* 1/4 (log 2)) in y
15.319 * [taylor]: Taking taylor expansion of 1/4 in y
15.319 * [backup-simplify]: Simplify 1/4 into 1/4
15.319 * [taylor]: Taking taylor expansion of (log 2) in y
15.319 * [taylor]: Taking taylor expansion of 2 in y
15.319 * [backup-simplify]: Simplify 2 into 2
15.319 * [backup-simplify]: Simplify (log 2) into (log 2)
15.319 * [taylor]: Taking taylor expansion of (* 3/4 (pow y 2)) in y
15.319 * [taylor]: Taking taylor expansion of 3/4 in y
15.319 * [backup-simplify]: Simplify 3/4 into 3/4
15.319 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.319 * [taylor]: Taking taylor expansion of y in y
15.319 * [backup-simplify]: Simplify 0 into 0
15.319 * [backup-simplify]: Simplify 1 into 1
15.319 * [taylor]: Taking taylor expansion of (log 2) in y
15.319 * [taylor]: Taking taylor expansion of 2 in y
15.319 * [backup-simplify]: Simplify 2 into 2
15.319 * [backup-simplify]: Simplify (log 2) into (log 2)
15.320 * [backup-simplify]: Simplify (* 1/4 (log 2)) into (* 1/4 (log 2))
15.321 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 0) into (* 1/4 (log 2))
15.322 * [backup-simplify]: Simplify (/ (* 1/4 (log 2)) (log 2)) into 1/4
15.322 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8
15.322 * [backup-simplify]: Simplify 1/8 into 1/8
15.323 * [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))))
15.323 * [backup-simplify]: Simplify (sqrt (+ (* (* (log1p (exp (/ 1 x))) (sqrt (log1p (exp (/ 1 x))))) (sqrt (log1p (exp (/ 1 x))))) (+ (* (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 x))) (* (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))))
15.323 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in (x y) around 0
15.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in y
15.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in y
15.323 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
15.323 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
15.323 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.323 * [taylor]: Taking taylor expansion of x in y
15.323 * [backup-simplify]: Simplify x into x
15.323 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.323 * [taylor]: Taking taylor expansion of y in y
15.323 * [backup-simplify]: Simplify 0 into 0
15.323 * [backup-simplify]: Simplify 1 into 1
15.323 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.324 * [backup-simplify]: Simplify (* 1 1) into 1
15.324 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
15.324 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.324 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in y
15.324 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in y
15.324 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
15.324 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.324 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
15.324 * [taylor]: Taking taylor expansion of 1 in y
15.324 * [backup-simplify]: Simplify 1 into 1
15.324 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.324 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.324 * [taylor]: Taking taylor expansion of x in y
15.324 * [backup-simplify]: Simplify x into x
15.324 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.324 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.324 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.324 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.324 * [taylor]: Taking taylor expansion of (* x y) in y
15.324 * [taylor]: Taking taylor expansion of x in y
15.324 * [backup-simplify]: Simplify x into x
15.324 * [taylor]: Taking taylor expansion of y in y
15.324 * [backup-simplify]: Simplify 0 into 0
15.324 * [backup-simplify]: Simplify 1 into 1
15.324 * [backup-simplify]: Simplify (* x 0) into 0
15.324 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
15.325 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) x) into (/ (log (+ (exp (/ 1 x)) 1)) x)
15.325 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
15.325 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
15.325 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.325 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
15.325 * [taylor]: Taking taylor expansion of 1 in y
15.325 * [backup-simplify]: Simplify 1 into 1
15.325 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.325 * [taylor]: Taking taylor expansion of x in y
15.325 * [backup-simplify]: Simplify x into x
15.325 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.325 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.325 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.325 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.325 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
15.325 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
15.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.326 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
15.326 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
15.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
15.326 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) x) 0) into (/ (log (+ (exp (/ 1 x)) 1)) x)
15.326 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) x)) into (/ (log (+ (exp (/ 1 x)) 1)) x)
15.326 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
15.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
15.326 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.326 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.326 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.326 * [taylor]: Taking taylor expansion of x in x
15.326 * [backup-simplify]: Simplify 0 into 0
15.326 * [backup-simplify]: Simplify 1 into 1
15.326 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.326 * [taylor]: Taking taylor expansion of y in x
15.326 * [backup-simplify]: Simplify y into y
15.327 * [backup-simplify]: Simplify (* 1 1) into 1
15.327 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.327 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.327 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.327 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
15.327 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
15.327 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.327 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.327 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.327 * [taylor]: Taking taylor expansion of 1 in x
15.327 * [backup-simplify]: Simplify 1 into 1
15.327 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.327 * [taylor]: Taking taylor expansion of x in x
15.327 * [backup-simplify]: Simplify 0 into 0
15.327 * [backup-simplify]: Simplify 1 into 1
15.327 * [backup-simplify]: Simplify (/ 1 1) into 1
15.327 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.327 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.327 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.327 * [taylor]: Taking taylor expansion of (* x y) in x
15.327 * [taylor]: Taking taylor expansion of x in x
15.328 * [backup-simplify]: Simplify 0 into 0
15.328 * [backup-simplify]: Simplify 1 into 1
15.328 * [taylor]: Taking taylor expansion of y in x
15.328 * [backup-simplify]: Simplify y into y
15.328 * [backup-simplify]: Simplify (* 0 y) into 0
15.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.328 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.328 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
15.328 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.328 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.328 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.328 * [taylor]: Taking taylor expansion of 1 in x
15.328 * [backup-simplify]: Simplify 1 into 1
15.328 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.328 * [taylor]: Taking taylor expansion of x in x
15.328 * [backup-simplify]: Simplify 0 into 0
15.328 * [backup-simplify]: Simplify 1 into 1
15.328 * [backup-simplify]: Simplify (/ 1 1) into 1
15.328 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.328 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.329 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.329 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.329 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.329 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.330 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.330 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.330 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)))) in x
15.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2))) in x
15.330 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.330 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.330 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.330 * [taylor]: Taking taylor expansion of x in x
15.330 * [backup-simplify]: Simplify 0 into 0
15.330 * [backup-simplify]: Simplify 1 into 1
15.330 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.330 * [taylor]: Taking taylor expansion of y in x
15.330 * [backup-simplify]: Simplify y into y
15.330 * [backup-simplify]: Simplify (* 1 1) into 1
15.330 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.330 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.331 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.331 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
15.331 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
15.331 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.331 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.331 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.331 * [taylor]: Taking taylor expansion of 1 in x
15.331 * [backup-simplify]: Simplify 1 into 1
15.331 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.331 * [taylor]: Taking taylor expansion of x in x
15.331 * [backup-simplify]: Simplify 0 into 0
15.331 * [backup-simplify]: Simplify 1 into 1
15.331 * [backup-simplify]: Simplify (/ 1 1) into 1
15.331 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.331 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.331 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.331 * [taylor]: Taking taylor expansion of (* x y) in x
15.331 * [taylor]: Taking taylor expansion of x in x
15.331 * [backup-simplify]: Simplify 0 into 0
15.331 * [backup-simplify]: Simplify 1 into 1
15.331 * [taylor]: Taking taylor expansion of y in x
15.331 * [backup-simplify]: Simplify y into y
15.331 * [backup-simplify]: Simplify (* 0 y) into 0
15.332 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.332 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.332 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
15.332 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.332 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.332 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.332 * [taylor]: Taking taylor expansion of 1 in x
15.332 * [backup-simplify]: Simplify 1 into 1
15.332 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.332 * [taylor]: Taking taylor expansion of x in x
15.332 * [backup-simplify]: Simplify 0 into 0
15.332 * [backup-simplify]: Simplify 1 into 1
15.332 * [backup-simplify]: Simplify (/ 1 1) into 1
15.332 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.332 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.332 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.332 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.332 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.332 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.333 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.333 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
15.334 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ 1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y
15.334 * [taylor]: Taking taylor expansion of y in y
15.334 * [backup-simplify]: Simplify 0 into 0
15.334 * [backup-simplify]: Simplify 1 into 1
15.334 * [backup-simplify]: Simplify (/ 1 1) into 1
15.334 * [backup-simplify]: Simplify 1 into 1
15.334 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ 1 x)) 1))) in y
15.334 * [taylor]: Taking taylor expansion of 1/2 in y
15.334 * [backup-simplify]: Simplify 1/2 into 1/2
15.334 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.334 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.334 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.334 * [taylor]: Taking taylor expansion of x in y
15.334 * [backup-simplify]: Simplify x into x
15.334 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.334 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.334 * [taylor]: Taking taylor expansion of 1 in y
15.334 * [backup-simplify]: Simplify 1 into 1
15.334 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.334 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.335 * [backup-simplify]: Simplify 0 into 0
15.335 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
15.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.337 * [backup-simplify]: Simplify (+ 0 0) into 0
15.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
15.338 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)))) into 0
15.338 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.338 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.338 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.338 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ 1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ 1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)))
15.338 * [taylor]: Taking taylor expansion of (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) in y
15.338 * [taylor]: Taking taylor expansion of 3/8 in y
15.339 * [backup-simplify]: Simplify 3/8 into 3/8
15.339 * [taylor]: Taking taylor expansion of (* y (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y
15.339 * [taylor]: Taking taylor expansion of y in y
15.339 * [backup-simplify]: Simplify 0 into 0
15.339 * [backup-simplify]: Simplify 1 into 1
15.339 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y
15.339 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.339 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.339 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.339 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.339 * [taylor]: Taking taylor expansion of x in y
15.339 * [backup-simplify]: Simplify x into x
15.339 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.339 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.339 * [taylor]: Taking taylor expansion of 1 in y
15.339 * [backup-simplify]: Simplify 1 into 1
15.339 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.339 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.339 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.339 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ 1 x)) 1))) into (* 1/2 (log (+ (exp (/ 1 x)) 1)))
15.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.340 * [backup-simplify]: Simplify 0 into 0
15.340 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
15.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
15.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.342 * [backup-simplify]: Simplify (+ 0 0) into 0
15.343 * [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
15.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
15.344 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.344 * [backup-simplify]: Simplify (+ 0 0) into 0
15.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.345 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.345 * [backup-simplify]: Simplify (+ 0 0) into 0
15.345 * [backup-simplify]: Simplify (+ 0 0) into 0
15.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)))
15.346 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))) in y
15.346 * [taylor]: Taking taylor expansion of -3/16 in y
15.346 * [backup-simplify]: Simplify -3/16 into -3/16
15.346 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3)) in y
15.346 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.346 * [taylor]: Taking taylor expansion of y in y
15.346 * [backup-simplify]: Simplify 0 into 0
15.346 * [backup-simplify]: Simplify 1 into 1
15.346 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 3) in y
15.346 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.346 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.346 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.346 * [taylor]: Taking taylor expansion of x in y
15.346 * [backup-simplify]: Simplify x into x
15.346 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.346 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.346 * [taylor]: Taking taylor expansion of 1 in y
15.346 * [backup-simplify]: Simplify 1 into 1
15.346 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.346 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.346 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.347 * [backup-simplify]: Simplify (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into 0
15.348 * [backup-simplify]: Simplify (* 3/8 0) into 0
15.349 * [backup-simplify]: Simplify 0 into 0
15.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
15.349 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.350 * [backup-simplify]: Simplify (+ 0 0) into 0
15.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.350 * [backup-simplify]: Simplify 0 into 0
15.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.351 * [backup-simplify]: Simplify 0 into 0
15.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
15.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.354 * [backup-simplify]: Simplify (+ 0 0) into 0
15.355 * [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
15.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.357 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.357 * [backup-simplify]: Simplify (+ 0 0) into 0
15.358 * [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
15.358 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
15.358 * [backup-simplify]: Simplify (+ 0 0) into 0
15.359 * [backup-simplify]: Simplify (+ 0 0) into 0
15.359 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* y (pow (log (+ (exp (/ 1 x)) 1)) 2))) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ 1 x)) 1))) (* -3/16 (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 3))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)))
15.360 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4))) in y
15.360 * [taylor]: Taking taylor expansion of 3/128 in y
15.360 * [backup-simplify]: Simplify 3/128 into 3/128
15.360 * [taylor]: Taking taylor expansion of (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 4)) in y
15.360 * [taylor]: Taking taylor expansion of (pow y 3) in y
15.360 * [taylor]: Taking taylor expansion of y in y
15.360 * [backup-simplify]: Simplify 0 into 0
15.360 * [backup-simplify]: Simplify 1 into 1
15.360 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 4) in y
15.360 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
15.360 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
15.360 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
15.360 * [taylor]: Taking taylor expansion of (/ 1 x) in y
15.360 * [taylor]: Taking taylor expansion of x in y
15.360 * [backup-simplify]: Simplify x into x
15.360 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
15.360 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.360 * [taylor]: Taking taylor expansion of 1 in y
15.360 * [backup-simplify]: Simplify 1 into 1
15.360 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
15.360 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
15.362 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.362 * [backup-simplify]: Simplify (+ 0 0) into 0
15.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.363 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.364 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.364 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
15.364 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ 1 x)) 1)) 2))
15.365 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2)) (* (/ 1 y) (/ 1 x))) (+ (* 1/2 (log (+ (exp (/ 1 (/ 1 x))) 1))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
15.366 * [backup-simplify]: Simplify (sqrt (+ (* (* (log1p (exp (/ 1 (- x)))) (sqrt (log1p (exp (/ 1 (- x)))))) (sqrt (log1p (exp (/ 1 (- x)))))) (+ (* (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- x)))) (* (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))))) into (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))))
15.366 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in (x y) around 0
15.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in y
15.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in y
15.366 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
15.366 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
15.366 * [taylor]: Taking taylor expansion of (pow x 2) in y
15.366 * [taylor]: Taking taylor expansion of x in y
15.366 * [backup-simplify]: Simplify x into x
15.366 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.366 * [taylor]: Taking taylor expansion of y in y
15.366 * [backup-simplify]: Simplify 0 into 0
15.366 * [backup-simplify]: Simplify 1 into 1
15.366 * [backup-simplify]: Simplify (* x x) into (pow x 2)
15.367 * [backup-simplify]: Simplify (* 1 1) into 1
15.367 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
15.367 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
15.367 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in y
15.367 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
15.367 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
15.367 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.367 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
15.367 * [taylor]: Taking taylor expansion of 1 in y
15.367 * [backup-simplify]: Simplify 1 into 1
15.367 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.367 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.367 * [taylor]: Taking taylor expansion of -1 in y
15.367 * [backup-simplify]: Simplify -1 into -1
15.367 * [taylor]: Taking taylor expansion of x in y
15.367 * [backup-simplify]: Simplify x into x
15.367 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.367 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.367 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.367 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.367 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in y
15.367 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
15.368 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.368 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
15.368 * [taylor]: Taking taylor expansion of 1 in y
15.368 * [backup-simplify]: Simplify 1 into 1
15.368 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.368 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.368 * [taylor]: Taking taylor expansion of -1 in y
15.368 * [backup-simplify]: Simplify -1 into -1
15.368 * [taylor]: Taking taylor expansion of x in y
15.368 * [backup-simplify]: Simplify x into x
15.368 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.368 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.368 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.368 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.368 * [taylor]: Taking taylor expansion of (* x y) in y
15.368 * [taylor]: Taking taylor expansion of x in y
15.368 * [backup-simplify]: Simplify x into x
15.368 * [taylor]: Taking taylor expansion of y in y
15.368 * [backup-simplify]: Simplify 0 into 0
15.368 * [backup-simplify]: Simplify 1 into 1
15.368 * [backup-simplify]: Simplify (* x 0) into 0
15.369 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
15.369 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) x) into (/ (log (+ (exp (/ -1 x)) 1)) x)
15.369 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
15.369 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
15.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.370 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
15.370 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
15.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
15.371 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
15.371 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) x)) into (/ (log (+ (exp (/ -1 x)) 1)) x)
15.371 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) x) (* 2 (sqrt (/ 1 (pow x 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
15.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
15.371 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.371 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.371 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.371 * [taylor]: Taking taylor expansion of x in x
15.371 * [backup-simplify]: Simplify 0 into 0
15.371 * [backup-simplify]: Simplify 1 into 1
15.371 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.371 * [taylor]: Taking taylor expansion of y in x
15.371 * [backup-simplify]: Simplify y into y
15.372 * [backup-simplify]: Simplify (* 1 1) into 1
15.372 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.372 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.372 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.372 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
15.372 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
15.372 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.372 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.372 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.372 * [taylor]: Taking taylor expansion of 1 in x
15.372 * [backup-simplify]: Simplify 1 into 1
15.372 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.372 * [taylor]: Taking taylor expansion of -1 in x
15.372 * [backup-simplify]: Simplify -1 into -1
15.372 * [taylor]: Taking taylor expansion of x in x
15.372 * [backup-simplify]: Simplify 0 into 0
15.372 * [backup-simplify]: Simplify 1 into 1
15.373 * [backup-simplify]: Simplify (/ -1 1) into -1
15.373 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.373 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.373 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.373 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
15.373 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.373 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.373 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.373 * [taylor]: Taking taylor expansion of 1 in x
15.373 * [backup-simplify]: Simplify 1 into 1
15.373 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.373 * [taylor]: Taking taylor expansion of -1 in x
15.374 * [backup-simplify]: Simplify -1 into -1
15.374 * [taylor]: Taking taylor expansion of x in x
15.374 * [backup-simplify]: Simplify 0 into 0
15.374 * [backup-simplify]: Simplify 1 into 1
15.374 * [backup-simplify]: Simplify (/ -1 1) into -1
15.374 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.374 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.374 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.374 * [taylor]: Taking taylor expansion of (* x y) in x
15.374 * [taylor]: Taking taylor expansion of x in x
15.374 * [backup-simplify]: Simplify 0 into 0
15.374 * [backup-simplify]: Simplify 1 into 1
15.374 * [taylor]: Taking taylor expansion of y in x
15.374 * [backup-simplify]: Simplify y into y
15.375 * [backup-simplify]: Simplify (* 0 y) into 0
15.375 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.375 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.375 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.375 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.375 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.377 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.377 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.377 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))))) in x
15.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow x 2) (pow y 2))) (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y)))) in x
15.377 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
15.377 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
15.377 * [taylor]: Taking taylor expansion of (pow x 2) in x
15.377 * [taylor]: Taking taylor expansion of x in x
15.377 * [backup-simplify]: Simplify 0 into 0
15.377 * [backup-simplify]: Simplify 1 into 1
15.377 * [taylor]: Taking taylor expansion of (pow y 2) in x
15.377 * [taylor]: Taking taylor expansion of y in x
15.377 * [backup-simplify]: Simplify y into y
15.378 * [backup-simplify]: Simplify (* 1 1) into 1
15.378 * [backup-simplify]: Simplify (* y y) into (pow y 2)
15.378 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
15.378 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
15.378 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
15.378 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
15.378 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.378 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.378 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.378 * [taylor]: Taking taylor expansion of 1 in x
15.378 * [backup-simplify]: Simplify 1 into 1
15.378 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.378 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.378 * [taylor]: Taking taylor expansion of -1 in x
15.378 * [backup-simplify]: Simplify -1 into -1
15.378 * [taylor]: Taking taylor expansion of x in x
15.378 * [backup-simplify]: Simplify 0 into 0
15.379 * [backup-simplify]: Simplify 1 into 1
15.379 * [backup-simplify]: Simplify (/ -1 1) into -1
15.379 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.379 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.379 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.379 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
15.379 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.379 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.379 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.379 * [taylor]: Taking taylor expansion of 1 in x
15.379 * [backup-simplify]: Simplify 1 into 1
15.379 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.379 * [taylor]: Taking taylor expansion of -1 in x
15.380 * [backup-simplify]: Simplify -1 into -1
15.380 * [taylor]: Taking taylor expansion of x in x
15.380 * [backup-simplify]: Simplify 0 into 0
15.380 * [backup-simplify]: Simplify 1 into 1
15.380 * [backup-simplify]: Simplify (/ -1 1) into -1
15.380 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.380 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.380 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.380 * [taylor]: Taking taylor expansion of (* x y) in x
15.380 * [taylor]: Taking taylor expansion of x in x
15.380 * [backup-simplify]: Simplify 0 into 0
15.380 * [backup-simplify]: Simplify 1 into 1
15.380 * [taylor]: Taking taylor expansion of y in x
15.380 * [backup-simplify]: Simplify y into y
15.380 * [backup-simplify]: Simplify (* 0 y) into 0
15.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
15.381 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.381 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
15.381 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
15.381 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
15.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
15.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
15.383 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.383 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
15.383 * [backup-simplify]: Simplify (/ (/ (log (+ (exp (/ -1 x)) 1)) y) (* 2 (sqrt (/ 1 (pow y 2))))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.383 * [taylor]: Taking taylor expansion of (/ 1 y) in y
15.383 * [taylor]: Taking taylor expansion of y in y
15.383 * [backup-simplify]: Simplify 0 into 0
15.383 * [backup-simplify]: Simplify 1 into 1
15.384 * [backup-simplify]: Simplify (/ 1 1) into 1
15.384 * [backup-simplify]: Simplify 1 into 1
15.384 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (exp (/ -1 x)) 1))) in y
15.384 * [taylor]: Taking taylor expansion of 1/2 in y
15.384 * [backup-simplify]: Simplify 1/2 into 1/2
15.384 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.384 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.384 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.384 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.384 * [taylor]: Taking taylor expansion of -1 in y
15.384 * [backup-simplify]: Simplify -1 into -1
15.384 * [taylor]: Taking taylor expansion of x in y
15.384 * [backup-simplify]: Simplify x into x
15.384 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.384 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.384 * [taylor]: Taking taylor expansion of 1 in y
15.384 * [backup-simplify]: Simplify 1 into 1
15.384 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.384 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.385 * [backup-simplify]: Simplify 0 into 0
15.386 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
15.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
15.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
15.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.389 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.389 * [backup-simplify]: Simplify (+ 0 0) into 0
15.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
15.391 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)))) into 0
15.391 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.392 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.393 * [backup-simplify]: Simplify (/ (- (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow (* 1/2 (log (+ (exp (/ -1 x)) 1))) 2) (+)) (* 2 (/ 1 y))) into (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y))
15.393 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) in y
15.393 * [taylor]: Taking taylor expansion of 3/8 in y
15.393 * [backup-simplify]: Simplify 3/8 into 3/8
15.393 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y) in y
15.393 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y
15.393 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.393 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.393 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.393 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.393 * [taylor]: Taking taylor expansion of -1 in y
15.393 * [backup-simplify]: Simplify -1 into -1
15.393 * [taylor]: Taking taylor expansion of x in y
15.393 * [backup-simplify]: Simplify x into x
15.393 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.393 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.393 * [taylor]: Taking taylor expansion of 1 in y
15.393 * [backup-simplify]: Simplify 1 into 1
15.393 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.394 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.394 * [taylor]: Taking taylor expansion of y in y
15.394 * [backup-simplify]: Simplify 0 into 0
15.394 * [backup-simplify]: Simplify 1 into 1
15.394 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.394 * [backup-simplify]: Simplify (* 1/2 (log (+ (exp (/ -1 x)) 1))) into (* 1/2 (log (+ (exp (/ -1 x)) 1)))
15.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.395 * [backup-simplify]: Simplify 0 into 0
15.396 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
15.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
15.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.400 * [backup-simplify]: Simplify (+ 0 0) into 0
15.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.401 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.402 * [backup-simplify]: Simplify (+ 0 0) into 0
15.403 * [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
15.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
15.404 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.405 * [backup-simplify]: Simplify (+ 0 0) into 0
15.405 * [backup-simplify]: Simplify (+ 0 0) into 0
15.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)))))) (* 2 (/ 1 y))) into (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)))
15.405 * [taylor]: Taking taylor expansion of (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))) in y
15.405 * [taylor]: Taking taylor expansion of -3/16 in y
15.405 * [backup-simplify]: Simplify -3/16 into -3/16
15.405 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2)) in y
15.405 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 3) in y
15.405 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.405 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.405 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.405 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.405 * [taylor]: Taking taylor expansion of -1 in y
15.405 * [backup-simplify]: Simplify -1 into -1
15.405 * [taylor]: Taking taylor expansion of x in y
15.405 * [backup-simplify]: Simplify x into x
15.405 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.405 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.405 * [taylor]: Taking taylor expansion of 1 in y
15.405 * [backup-simplify]: Simplify 1 into 1
15.405 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.406 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.406 * [taylor]: Taking taylor expansion of (pow y 2) in y
15.406 * [taylor]: Taking taylor expansion of y in y
15.406 * [backup-simplify]: Simplify 0 into 0
15.406 * [backup-simplify]: Simplify 1 into 1
15.406 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.406 * [backup-simplify]: Simplify (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into 0
15.406 * [backup-simplify]: Simplify (* 3/8 0) into 0
15.406 * [backup-simplify]: Simplify 0 into 0
15.406 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
15.407 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.407 * [backup-simplify]: Simplify (+ 0 0) into 0
15.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.408 * [backup-simplify]: Simplify 0 into 0
15.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.408 * [backup-simplify]: Simplify 0 into 0
15.409 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
15.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
15.411 * [backup-simplify]: Simplify (+ 0 0) into 0
15.412 * [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
15.413 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
15.413 * [backup-simplify]: Simplify (+ 0 0) into 0
15.414 * [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
15.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
15.416 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
15.416 * [backup-simplify]: Simplify (+ 0 0) into 0
15.416 * [backup-simplify]: Simplify (+ 0 0) into 0
15.417 * [backup-simplify]: Simplify (/ (- 0 (pow (* 3/8 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) y)) 2) (+ (* 2 (* (* 1/2 (log (+ (exp (/ -1 x)) 1))) (* -3/16 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 2))))))) (* 2 (/ 1 y))) into (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)))
15.417 * [taylor]: Taking taylor expansion of (* 3/128 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3))) in y
15.417 * [taylor]: Taking taylor expansion of 3/128 in y
15.417 * [backup-simplify]: Simplify 3/128 into 3/128
15.417 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 3)) in y
15.417 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 4) in y
15.417 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
15.417 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
15.417 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
15.417 * [taylor]: Taking taylor expansion of (/ -1 x) in y
15.417 * [taylor]: Taking taylor expansion of -1 in y
15.417 * [backup-simplify]: Simplify -1 into -1
15.417 * [taylor]: Taking taylor expansion of x in y
15.417 * [backup-simplify]: Simplify x into x
15.417 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
15.417 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.417 * [taylor]: Taking taylor expansion of 1 in y
15.417 * [backup-simplify]: Simplify 1 into 1
15.417 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
15.417 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.417 * [taylor]: Taking taylor expansion of (pow y 3) in y
15.417 * [taylor]: Taking taylor expansion of y in y
15.417 * [backup-simplify]: Simplify 0 into 0
15.417 * [backup-simplify]: Simplify 1 into 1
15.417 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
15.418 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
15.418 * [backup-simplify]: Simplify (+ 0 0) into 0
15.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.419 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.419 * [backup-simplify]: Simplify (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 1) (* 0 0)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.419 * [backup-simplify]: Simplify (+ (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) (* 0 0)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
15.419 * [backup-simplify]: Simplify (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (* 3/8 (pow (log (+ (exp (/ -1 x)) 1)) 2))
15.420 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2)) (* (/ 1 (- y)) (/ 1 (- x)))) (+ (* 1/2 (log (+ (exp (/ -1 (/ 1 (- x)))) 1))) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
15.420 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1)
15.420 * [backup-simplify]: Simplify (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) into (pow (log1p (exp x)) 2)
15.420 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 2) in (x) around 0
15.420 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
15.420 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.420 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.420 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.420 * [taylor]: Taking taylor expansion of 1 in x
15.420 * [backup-simplify]: Simplify 1 into 1
15.420 * [taylor]: Taking taylor expansion of (exp x) in x
15.420 * [taylor]: Taking taylor expansion of x in x
15.420 * [backup-simplify]: Simplify 0 into 0
15.420 * [backup-simplify]: Simplify 1 into 1
15.420 * [backup-simplify]: Simplify (exp 0) into 1
15.421 * [backup-simplify]: Simplify (+ 1 1) into 2
15.421 * [backup-simplify]: Simplify (log 2) into (log 2)
15.421 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
15.421 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
15.421 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
15.421 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
15.421 * [taylor]: Taking taylor expansion of 1 in x
15.421 * [backup-simplify]: Simplify 1 into 1
15.421 * [taylor]: Taking taylor expansion of (exp x) in x
15.421 * [taylor]: Taking taylor expansion of x in x
15.421 * [backup-simplify]: Simplify 0 into 0
15.421 * [backup-simplify]: Simplify 1 into 1
15.421 * [backup-simplify]: Simplify (exp 0) into 1
15.421 * [backup-simplify]: Simplify (+ 1 1) into 2
15.421 * [backup-simplify]: Simplify (log 2) into (log 2)
15.422 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
15.423 * [backup-simplify]: Simplify (pow (log 2) 2) into (pow (log 2) 2)
15.423 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
15.424 * [backup-simplify]: Simplify (+ 0 1) into 1
15.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
15.426 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
15.426 * [backup-simplify]: Simplify (log 2) into (log 2)
15.427 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
15.427 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
15.429 * [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
15.431 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
15.432 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4)
15.434 * [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))))
15.434 * [backup-simplify]: Simplify (* (* (log1p (exp (/ 1 x))) (sqrt (log1p (exp (/ 1 x))))) (sqrt (log1p (exp (/ 1 x))))) into (pow (log1p (exp (/ 1 x))) 2)
15.434 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in (x) around 0
15.434 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
15.434 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.434 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.434 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.434 * [taylor]: Taking taylor expansion of 1 in x
15.434 * [backup-simplify]: Simplify 1 into 1
15.434 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.434 * [taylor]: Taking taylor expansion of x in x
15.434 * [backup-simplify]: Simplify 0 into 0
15.434 * [backup-simplify]: Simplify 1 into 1
15.435 * [backup-simplify]: Simplify (/ 1 1) into 1
15.435 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.435 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.435 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.435 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
15.435 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
15.435 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
15.435 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
15.435 * [taylor]: Taking taylor expansion of 1 in x
15.435 * [backup-simplify]: Simplify 1 into 1
15.435 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
15.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x
15.435 * [taylor]: Taking taylor expansion of x in x
15.435 * [backup-simplify]: Simplify 0 into 0
15.435 * [backup-simplify]: Simplify 1 into 1
15.435 * [backup-simplify]: Simplify (/ 1 1) into 1
15.436 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
15.436 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
15.436 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
15.436 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.436 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 2) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
15.437 * [backup-simplify]: Simplify (+ 0 0) into 0
15.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
15.438 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
15.438 * [backup-simplify]: Simplify 0 into 0
15.438 * [backup-simplify]: Simplify (+ 0 0) into 0
15.440 * [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
15.440 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
15.440 * [backup-simplify]: Simplify 0 into 0
15.441 * [backup-simplify]: Simplify (+ 0 0) into 0
15.443 * [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
15.444 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0
15.444 * [backup-simplify]: Simplify 0 into 0
15.445 * [backup-simplify]: Simplify (+ 0 0) into 0
15.449 * [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
15.451 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0
15.451 * [backup-simplify]: Simplify 0 into 0
15.451 * [backup-simplify]: Simplify (+ 0 0) into 0
15.459 * [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
15.461 * [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
15.461 * [backup-simplify]: Simplify 0 into 0
15.461 * [backup-simplify]: Simplify (+ 0 0) into 0
15.475 * [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
15.478 * [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
15.478 * [backup-simplify]: Simplify 0 into 0
15.478 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
15.478 * [backup-simplify]: Simplify (* (* (log1p (exp (/ 1 (- x)))) (sqrt (log1p (exp (/ 1 (- x)))))) (sqrt (log1p (exp (/ 1 (- x)))))) into (pow (log1p (exp (/ -1 x))) 2)
15.478 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in (x) around 0
15.478 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
15.478 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.478 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.478 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.478 * [taylor]: Taking taylor expansion of 1 in x
15.478 * [backup-simplify]: Simplify 1 into 1
15.478 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.479 * [taylor]: Taking taylor expansion of -1 in x
15.479 * [backup-simplify]: Simplify -1 into -1
15.479 * [taylor]: Taking taylor expansion of x in x
15.479 * [backup-simplify]: Simplify 0 into 0
15.479 * [backup-simplify]: Simplify 1 into 1
15.479 * [backup-simplify]: Simplify (/ -1 1) into -1
15.479 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.479 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.479 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.479 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
15.480 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
15.480 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
15.480 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
15.480 * [taylor]: Taking taylor expansion of 1 in x
15.480 * [backup-simplify]: Simplify 1 into 1
15.480 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
15.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x
15.480 * [taylor]: Taking taylor expansion of -1 in x
15.480 * [backup-simplify]: Simplify -1 into -1
15.480 * [taylor]: Taking taylor expansion of x in x
15.480 * [backup-simplify]: Simplify 0 into 0
15.480 * [backup-simplify]: Simplify 1 into 1
15.480 * [backup-simplify]: Simplify (/ -1 1) into -1
15.480 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
15.480 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
15.481 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
15.481 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.481 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 2) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
15.481 * [backup-simplify]: Simplify (+ 0 0) into 0
15.482 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
15.483 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
15.483 * [backup-simplify]: Simplify 0 into 0
15.483 * [backup-simplify]: Simplify (+ 0 0) into 0
15.485 * [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
15.485 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
15.485 * [backup-simplify]: Simplify 0 into 0
15.486 * [backup-simplify]: Simplify (+ 0 0) into 0
15.490 * [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
15.491 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0
15.491 * [backup-simplify]: Simplify 0 into 0
15.491 * [backup-simplify]: Simplify (+ 0 0) into 0
15.496 * [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
15.497 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0
15.498 * [backup-simplify]: Simplify 0 into 0
15.498 * [backup-simplify]: Simplify (+ 0 0) into 0
15.506 * [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
15.508 * [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
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [backup-simplify]: Simplify (+ 0 0) into 0
15.521 * [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
15.523 * [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
15.523 * [backup-simplify]: Simplify 0 into 0
15.523 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
15.524 * * * [progress]: simplifying candidates
15.524 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (x y) (* (log1p (expm1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.524 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (x y) (* (expm1 (log1p (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.524 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (x y) (* (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- 1 1/2)) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.524 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (x y) (* (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (- 1 (/ 1 2))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.524 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (x y) (* (pow (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) 1) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.524 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (x y) (* (exp (- (log (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (log (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.524 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (x y) (* (exp (log (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.524 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (x y) (* (log (exp (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.524 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (x y) (* (cbrt (/ (* (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.524 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (* (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.525 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (x y) (* (cbrt (* (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.525 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (sqrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.525 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (- (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (- (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.525 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.525 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.525 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.525 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt 1)) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.525 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.525 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) 1) (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.526 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.526 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.526 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.526 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt 1)) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.526 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.526 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) 1) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.526 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.526 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.526 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (sqrt 1)) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ 1 1) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* 1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.527 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt 1)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3)))) (sqrt (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (x y) (* (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3)) (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (x y) (* (posit16->real (real->posit16 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.528 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (log1p (expm1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (expm1 (log1p (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (hypot (log1p (exp x)) (sqrt (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1/2)) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (pow (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) 1)) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (exp (log (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (log (exp (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (cbrt (* (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.529 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (sqrt 1) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.530 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ (sqrt (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3))) (sqrt (+ (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.530 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.530 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (pow (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ 1 2))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.530 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.530 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (fabs (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.530 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.530 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (posit16->real (real->posit16 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.530 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (log1p (expm1 (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.530 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (expm1 (log1p (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.530 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (pow (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1/2))))>
15.530 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (pow (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) 1))))>
15.531 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (exp (log (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.531 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (log (exp (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.531 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (* (cbrt (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.531 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (cbrt (* (* (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.531 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (sqrt (* (cbrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (sqrt (cbrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.531 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (sqrt (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.531 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (sqrt 1) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))>
15.531 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (/ (sqrt (+ (pow (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3))) (sqrt (+ (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x))))) (- (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))))>
15.531 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (/ (sqrt (- (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x))))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (- (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))>
15.531 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (pow (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (/ 1 2)))))>
15.532 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* (sqrt (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.532 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (fabs (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))>
15.532 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (* 1 (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))))>
15.532 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (posit16->real (real->posit16 (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))))>
15.532 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (log1p (expm1 (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.532 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (expm1 (log1p (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.532 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log1p (exp x)) (+ (+ 1 1/2) 1/2)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.532 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log1p (exp x)) (+ (+ 1 1/2) (/ 1 2))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.532 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log1p (exp x)) (+ (+ 1 (/ 1 2)) 1/2)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.532 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log1p (exp x)) (+ (+ 1 (/ 1 2)) (/ 1 2))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (sqrt (log1p (exp x))) (+ 3 1)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) 1) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) 1) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (sqrt (log1p (exp x))) (+ 3 1)) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) 1) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (exp (+ (+ (log (log1p (exp x))) (log (sqrt (log1p (exp x))))) (log (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (exp (+ (log (* (log1p (exp x)) (sqrt (log1p (exp x))))) (log (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (exp (log (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (log (exp (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (cbrt (* (* (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x))))) (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (cbrt (* (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (* (log1p (exp x)) (sqrt (log1p (exp x))))) (* (log1p (exp x)) (sqrt (log1p (exp x))))) (* (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.533 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (cbrt (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x))))) (cbrt (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (cbrt (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (cbrt (* (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x))))) (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (sqrt (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x))))) (sqrt (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* 1 (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))))) (cbrt (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))) (sqrt (cbrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (sqrt (log1p (exp x))))) (sqrt (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt 1)) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (sqrt (log1p (exp x))))) (sqrt (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) 1) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.534 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (posit16->real (real->posit16 (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.535 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (sqrt (log1p (exp x))) (* (log1p (exp x)) (sqrt (log1p (exp x))))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.535 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (x y) (* (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.535 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (x y) (* (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.535 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (x y) (* (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.535 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.535 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.535 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.535 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))))>
15.535 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y))))))>
15.535 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y))))))>
15.535 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.535 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log (+ (exp x) 1)) 2) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.536 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (pow (log (+ (exp x) 1)) 2) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>
15.538 * [simplify]: Simplifying:
  (expm1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (log1p (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (- 1 1/2)
  (- 1 (/ 1 2))
  (- (log (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (log (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (log (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (exp (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (* (* (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (* (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (cbrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (* (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))) (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (sqrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (sqrt (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (- (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (- (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt 1))
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) 1)
  (/ (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt 1))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) 1)
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ 1 (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ 1 (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ 1 (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ 1 (sqrt 1))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ 1 (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ 1 1)
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (* (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (cbrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt 1))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1)
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))
  (/ (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (pow (* (log1p (exp x)) (log1p (exp x))) 3) (pow (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) 3))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))
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  (* (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))) (- (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
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  (/ 1 2)
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  (sqrt (- (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
  (/ 1 2)
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  (+ (+ 1 1/2) 1/2)
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  (+ 3 1)
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  (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))))
  (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (sqrt (log1p (exp x)))))
  (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt 1))
  (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (sqrt (log1p (exp x)))))
  (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) 1)
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  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (* 3/8 (/ (pow (log (+ (exp x) 1)) 2) (* x y))) (+ (* 1/2 (log (+ (exp x) 1))) (* x y)))
  (+ (* 1/4 (* (log 2) (pow x 2))) (+ (* (log 2) x) (+ (* 1/4 (pow x 2)) (pow (log 2) 2))))
  (pow (log (+ (exp x) 1)) 2)
  (pow (log (+ (exp x) 1)) 2)
15.545 * * [simplify]: iteration 1: (199 enodes)
15.596 * * [simplify]: iteration 2: (506 enodes)
15.808 * * [simplify]: iteration 3: (1883 enodes)
21.357 * * [simplify]: Extracting #0: cost 68 inf + 0
21.358 * * [simplify]: Extracting #1: cost 357 inf + 4
21.364 * * [simplify]: Extracting #2: cost 757 inf + 1389
21.381 * * [simplify]: Extracting #3: cost 1197 inf + 25570
21.474 * * [simplify]: Extracting #4: cost 552 inf + 337673
21.630 * * [simplify]: Extracting #5: cost 26 inf + 569485
21.826 * * [simplify]: Extracting #6: cost 1 inf + 579709
22.029 * * [simplify]: Extracting #7: cost 0 inf + 579854
22.247 * * [simplify]: Extracting #8: cost 0 inf + 579799
22.477 * [simplify]: Simplified to:
  (expm1 (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (log1p (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  1/2
  1/2
  (log (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (log (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (exp (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
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  (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (* (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (- (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (- (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (* (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))) (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))))
  (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (* (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))) (fabs (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (/ (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))) (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (* (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (/ (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))) (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (* (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (/ (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (/ (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (fabs (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  1
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  1
  (/ 1 (* (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))))
  (/ (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ 1 (fabs (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))) (sqrt (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ 1 (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  1
  (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (/ 1 (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  1
  (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (* (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))) (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))))
  (/ (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))) (fabs (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (/ (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))
  (/ (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))) (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  1
  (/ (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (/ (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))) (sqrt (fma (* (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* y x) (+ (log1p (exp x)) (* y x)))) (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x))))))))
  (/ (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* y x) (+ (log1p (exp x)) (* y x)))))))
  (* (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (fma (* (* y x) (+ (log1p (exp x)) (* y x))) (- (* (* y x) (+ (log1p (exp x)) (* y x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x))))))
  (* (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (+ (log1p (exp x)) (* y x)))) (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (real->posit16 (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (expm1 (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (log1p (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (log (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (exp (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (* (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (* (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (fabs (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (sqrt (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  1
  (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (sqrt (fma (* (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* y x) (+ (log1p (exp x)) (* y x)))) (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))))))
  (sqrt (fma (* (* y x) (+ (log1p (exp x)) (* y x))) (- (* (* y x) (+ (log1p (exp x)) (* y x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (+ (log1p (exp x)) (* y x)))))
  1/2
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (real->posit16 (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (expm1 (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (log1p (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (log (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (exp (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (* (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))) (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))))
  (cbrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (* (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))) (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (fabs (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (sqrt (cbrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  1
  (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x)))))
  (sqrt (fma (* (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* y x) (+ (log1p (exp x)) (* y x)))) (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))))))
  (sqrt (fma (* (* y x) (+ (log1p (exp x)) (* y x))) (- (* (* y x) (+ (log1p (exp x)) (* y x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (sqrt (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (+ (log1p (exp x)) (* y x)))))
  1/2
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (sqrt (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (real->posit16 (sqrt (fma (* y x) (* y x) (* (log1p (exp x)) (+ (log1p (exp x)) (* y x))))))
  (expm1 (* (log1p (exp x)) (log1p (exp x))))
  (log1p (* (log1p (exp x)) (log1p (exp x))))
  2
  2
  2
  2
  4
  (* (log1p (exp x)) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
  4
  (log (* (log1p (exp x)) (log1p (exp x))))
  (log (* (log1p (exp x)) (log1p (exp x))))
  (log (* (log1p (exp x)) (log1p (exp x))))
  (exp (* (log1p (exp x)) (log1p (exp x))))
  (* (* (log1p (exp x)) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))))
  (* (* (log1p (exp x)) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))))
  (* (cbrt (* (log1p (exp x)) (log1p (exp x)))) (cbrt (* (log1p (exp x)) (log1p (exp x)))))
  (cbrt (* (log1p (exp x)) (log1p (exp x))))
  (* (* (log1p (exp x)) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))))
  (fabs (log1p (exp x)))
  (fabs (log1p (exp x)))
  (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x))))))
  (* (sqrt (log1p (exp x))) (* (fabs (cbrt (log1p (exp x)))) (log1p (exp x))))
  (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (sqrt (log1p (exp x)))))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (sqrt (log1p (exp x)))))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (log1p (exp x))
  (real->posit16 (* (log1p (exp x)) (log1p (exp x))))
  (fma (* x x) 1/8 (fma 1/2 x (log 2)))
  (fma 3/8 (* (/ (log1p (exp x)) y) (/ (log1p (exp x)) x)) (fma (log1p (exp x)) 1/2 (* y x)))
  (fma 3/8 (* (/ (log1p (exp x)) y) (/ (log1p (exp x)) x)) (fma (log1p (exp x)) 1/2 (* y x)))
  (fma (* x x) 1/8 (fma 1/2 x (log 2)))
  (fma 3/8 (* (/ (log1p (exp x)) y) (/ (log1p (exp x)) x)) (fma (log1p (exp x)) 1/2 (* y x)))
  (fma 3/8 (* (/ (log1p (exp x)) y) (/ (log1p (exp x)) x)) (fma (log1p (exp x)) 1/2 (* y x)))
  (fma (* x x) 1/8 (fma 1/2 x (log 2)))
  (fma 3/8 (* (/ (log1p (exp x)) y) (/ (log1p (exp x)) x)) (fma (log1p (exp x)) 1/2 (* y x)))
  (fma 3/8 (* (/ (log1p (exp x)) y) (/ (log1p (exp x)) x)) (fma (log1p (exp x)) 1/2 (* y x)))
  (fma x (log 2) (+ (* (log 2) (+ (log 2) (* (* x 1/4) x))) (* (* x 1/4) x)))
  (* (log1p (exp x)) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
22.509 * * * [progress]: adding candidates to table
24.480 * [progress]: [Phase 3 of 3] Extracting.
24.480 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (log1p (exp x)) (* y x)))> #<alt (λ (x y) (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)))> #<alt (λ (x y) (/ (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))> #<alt (λ (x y) (* 1 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))))> #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>)
24.482 * * * [regime-changes]: Trying 2 branch expressions: (y x)
24.482 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (log1p (exp x)) (* y x)))> #<alt (λ (x y) (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)))> #<alt (λ (x y) (/ (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))> #<alt (λ (x y) (* 1 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))))> #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>)
24.525 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (log1p (exp x)) (* y x)))> #<alt (λ (x y) (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)))> #<alt (λ (x y) (/ (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))> #<alt (λ (x y) (* 1 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (* y x) (log1p (exp x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (* y x)))))))> #<alt (λ (x y) (* (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (* (log1p (exp x)) (sqrt (log1p (exp x)))) (sqrt (log1p (exp x)))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x))))))))>)
24.567 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
24.568 * [simplify]: Simplifying:
  (- (log1p (exp x)) (* y x))
24.568 * * [simplify]: iteration 1: (6 enodes)
24.568 * * [simplify]: iteration 2: (7 enodes)
24.568 * * [simplify]: Extracting #0: cost 1 inf + 0
24.568 * * [simplify]: Extracting #1: cost 3 inf + 0
24.568 * * [simplify]: Extracting #2: cost 6 inf + 0
24.568 * * [simplify]: Extracting #3: cost 4 inf + 2
24.569 * * [simplify]: Extracting #4: cost 0 inf + 518
24.569 * [simplify]: Simplified to:
  (- (log1p (exp x)) (* y x))
29.427 * [regime-testing]: Baseline error score: 0.35531594885126405
29.430 * [regime-testing]: Oracle error score: 0.17702879869736565
29.435 * [regime-testing]: End program error score: 0.35531594885126405
29.536 * [regime-testing]: Target error score: 0.051217345292360585