53.230 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.132 * * * [progress]: [2/2] Setting up program.
0.138 * [progress]: [Phase 2 of 3] Improving.
0.138 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (- (log (+ 1 (exp x))) (* x y)))>
0.138 * [simplify]: Simplifying:
  (- (log (+ 1 (exp x))) (* x y))
0.138 * * [simplify]: iteration 0: 8 enodes
0.141 * * [simplify]: iteration 1: 15 enodes
0.144 * * [simplify]: iteration 2: 22 enodes
0.149 * * [simplify]: iteration 3: 26 enodes
0.154 * * [simplify]: iteration complete: 26 enodes
0.154 * * [simplify]: Extracting #0: cost 1 inf + 0
0.154 * * [simplify]: Extracting #1: cost 8 inf + 0
0.154 * * [simplify]: Extracting #2: cost 5 inf + 167
0.154 * * [simplify]: Extracting #3: cost 4 inf + 279
0.155 * * [simplify]: Extracting #4: cost 1 inf + 683
0.155 * * [simplify]: Extracting #5: cost 0 inf + 795
0.155 * [simplify]: Simplified to:
  (- (log1p (exp x)) (* y x))
0.163 * * [progress]: iteration 1 / 4
0.163 * * * [progress]: picking best candidate
0.167 * * * * [pick]: Picked  #<alt (λ (x y) (- (log1p (exp x)) (* y x)))>
0.168 * * * [progress]: localizing error
0.189 * * * [progress]: generating rewritten candidates
0.190 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.190 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.202 * * * [progress]: generating series expansions
0.202 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.202 * [backup-simplify]: Simplify (log1p (exp x)) into (log1p (exp x))
0.202 * [approximate]: Taking taylor expansion of (log1p (exp x)) in (x) around 0
0.202 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.202 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.202 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.202 * [taylor]: Taking taylor expansion of 1 in x
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [taylor]: Taking taylor expansion of (exp x) in x
0.202 * [taylor]: Taking taylor expansion of x in x
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (exp 0) into 1
0.203 * [backup-simplify]: Simplify (+ 1 1) into 2
0.203 * [backup-simplify]: Simplify (log 2) into (log 2)
0.203 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.203 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.203 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.203 * [taylor]: Taking taylor expansion of 1 in x
0.203 * [backup-simplify]: Simplify 1 into 1
0.204 * [taylor]: Taking taylor expansion of (exp 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
0.204 * [backup-simplify]: Simplify (exp 0) into 1
0.204 * [backup-simplify]: Simplify (+ 1 1) into 2
0.205 * [backup-simplify]: Simplify (log 2) into (log 2)
0.205 * [backup-simplify]: Simplify (log 2) into (log 2)
0.206 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
0.207 * [backup-simplify]: Simplify (+ 0 1) into 1
0.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
0.209 * [backup-simplify]: Simplify 1/2 into 1/2
0.210 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
0.211 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.214 * [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
0.214 * [backup-simplify]: Simplify 1/8 into 1/8
0.215 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
0.215 * [backup-simplify]: Simplify (log1p (exp (/ 1 x))) into (log1p (exp (/ 1 x)))
0.215 * [approximate]: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0
0.215 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.215 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.215 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.215 * [taylor]: Taking taylor expansion of 1 in x
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.215 * [taylor]: Taking taylor expansion of x in x
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (/ 1 1) into 1
0.216 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.216 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.216 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.216 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.216 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.216 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.216 * [taylor]: Taking taylor expansion of 1 in x
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.216 * [taylor]: Taking taylor expansion of x in x
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (/ 1 1) into 1
0.217 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.217 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.217 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.217 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [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
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [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
0.224 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [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
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [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
0.251 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [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
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1))
0.267 * [backup-simplify]: Simplify (log1p (exp (/ 1 (- x)))) into (log1p (exp (/ -1 x)))
0.267 * [approximate]: Taking taylor expansion of (log1p (exp (/ -1 x))) in (x) around 0
0.267 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.267 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.267 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.267 * [taylor]: Taking taylor expansion of 1 in x
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.267 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.267 * [taylor]: Taking taylor expansion of -1 in x
0.267 * [backup-simplify]: Simplify -1 into -1
0.267 * [taylor]: Taking taylor expansion of x in x
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (/ -1 1) into -1
0.268 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.268 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.268 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.268 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.268 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.268 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.268 * [taylor]: Taking taylor expansion of 1 in x
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.269 * [taylor]: Taking taylor expansion of -1 in x
0.269 * [backup-simplify]: Simplify -1 into -1
0.269 * [taylor]: Taking taylor expansion of x in x
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (/ -1 1) into -1
0.269 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.269 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.269 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.270 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [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
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [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
0.277 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [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
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [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
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [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
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1))
0.299 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.299 * [backup-simplify]: Simplify (- (log1p (exp x)) (* y x)) into (- (log1p (exp x)) (* x y))
0.299 * [approximate]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in (x y) around 0
0.299 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in y
0.299 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
0.299 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.299 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
0.299 * [taylor]: Taking taylor expansion of 1 in y
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [taylor]: Taking taylor expansion of (exp x) in y
0.299 * [taylor]: Taking taylor expansion of x in y
0.299 * [backup-simplify]: Simplify x into x
0.299 * [backup-simplify]: Simplify (exp x) into (exp x)
0.299 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
0.299 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
0.299 * [taylor]: Taking taylor expansion of (* x y) in y
0.299 * [taylor]: Taking taylor expansion of x in y
0.299 * [backup-simplify]: Simplify x into x
0.299 * [taylor]: Taking taylor expansion of y in y
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x
0.299 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.299 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.299 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.299 * [taylor]: Taking taylor expansion of 1 in x
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [taylor]: Taking taylor expansion of (exp x) in x
0.299 * [taylor]: Taking taylor expansion of x in x
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (exp 0) into 1
0.300 * [backup-simplify]: Simplify (+ 1 1) into 2
0.300 * [backup-simplify]: Simplify (log 2) into (log 2)
0.300 * [taylor]: Taking taylor expansion of (* x y) in x
0.300 * [taylor]: Taking taylor expansion of x in x
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [taylor]: Taking taylor expansion of y in x
0.300 * [backup-simplify]: Simplify y into y
0.300 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x
0.300 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.300 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.300 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.300 * [taylor]: Taking taylor expansion of 1 in x
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [taylor]: Taking taylor expansion of (exp x) in x
0.300 * [taylor]: Taking taylor expansion of x in x
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (exp 0) into 1
0.301 * [backup-simplify]: Simplify (+ 1 1) into 2
0.301 * [backup-simplify]: Simplify (log 2) into (log 2)
0.301 * [taylor]: Taking taylor expansion of (* x y) in x
0.301 * [taylor]: Taking taylor expansion of x in x
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [taylor]: Taking taylor expansion of y in x
0.301 * [backup-simplify]: Simplify y into y
0.301 * [backup-simplify]: Simplify (* 0 y) into 0
0.301 * [backup-simplify]: Simplify (- 0) into 0
0.302 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
0.302 * [taylor]: Taking taylor expansion of (log 2) in y
0.302 * [taylor]: Taking taylor expansion of 2 in y
0.302 * [backup-simplify]: Simplify 2 into 2
0.302 * [backup-simplify]: Simplify (log 2) into (log 2)
0.303 * [backup-simplify]: Simplify (log 2) into (log 2)
0.303 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
0.304 * [backup-simplify]: Simplify (+ 0 1) into 1
0.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
0.305 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.305 * [backup-simplify]: Simplify (- y) into (- y)
0.305 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y)
0.305 * [taylor]: Taking taylor expansion of (- 1/2 y) in y
0.305 * [taylor]: Taking taylor expansion of 1/2 in y
0.305 * [backup-simplify]: Simplify 1/2 into 1/2
0.305 * [taylor]: Taking taylor expansion of y in y
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (- 0) into 0
0.305 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.305 * [backup-simplify]: Simplify 1/2 into 1/2
0.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
0.306 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
0.307 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.309 * [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
0.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.310 * [backup-simplify]: Simplify (- 0) into 0
0.310 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
0.310 * [taylor]: Taking taylor expansion of 1/8 in y
0.310 * [backup-simplify]: Simplify 1/8 into 1/8
0.310 * [backup-simplify]: Simplify 1/8 into 1/8
0.310 * [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))))
0.311 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) into (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))
0.311 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in (x y) around 0
0.311 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in y
0.311 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
0.311 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.311 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
0.311 * [taylor]: Taking taylor expansion of 1 in y
0.311 * [backup-simplify]: Simplify 1 into 1
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 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.311 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.311 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.311 * [taylor]: Taking taylor expansion of (* x y) in y
0.311 * [taylor]: Taking taylor expansion of x in y
0.311 * [backup-simplify]: Simplify x into x
0.311 * [taylor]: Taking taylor expansion of y in y
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (* x 0) into 0
0.311 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.311 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.311 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x
0.312 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.312 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.312 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.312 * [taylor]: Taking taylor expansion of 1 in x
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.312 * [taylor]: Taking taylor expansion of x in x
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (/ 1 1) into 1
0.312 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.312 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.312 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.312 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.312 * [taylor]: Taking taylor expansion of (* x y) in x
0.312 * [taylor]: Taking taylor expansion of x in x
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [taylor]: Taking taylor expansion of y in x
0.312 * [backup-simplify]: Simplify y into y
0.312 * [backup-simplify]: Simplify (* 0 y) into 0
0.313 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.313 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.313 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x
0.313 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.313 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.313 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.313 * [taylor]: Taking taylor expansion of 1 in x
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.313 * [taylor]: Taking taylor expansion of x in x
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.313 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.313 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.313 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.313 * [taylor]: Taking taylor expansion of (* x y) in x
0.313 * [taylor]: Taking taylor expansion of x in x
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [taylor]: Taking taylor expansion of y in x
0.313 * [backup-simplify]: Simplify y into y
0.313 * [backup-simplify]: Simplify (* 0 y) into 0
0.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.314 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.314 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.314 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.314 * [taylor]: Taking taylor expansion of y in y
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.314 * [backup-simplify]: Simplify (- 1) into -1
0.314 * [backup-simplify]: Simplify -1 into -1
0.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.315 * [backup-simplify]: Simplify (- 0) into 0
0.315 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1))
0.315 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
0.315 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
0.315 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.315 * [taylor]: Taking taylor expansion of x in y
0.315 * [backup-simplify]: Simplify x into x
0.315 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.315 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.315 * [taylor]: Taking taylor expansion of 1 in y
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
0.316 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (- 0) into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
0.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.318 * [backup-simplify]: Simplify (- 0) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [taylor]: Taking taylor expansion of 0 in y
0.318 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (- 0) into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [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
0.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.322 * [backup-simplify]: Simplify (- 0) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [taylor]: Taking taylor expansion of 0 in y
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.323 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (- 0) into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [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
0.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.331 * [backup-simplify]: Simplify (- 0) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [taylor]: Taking taylor expansion of 0 in y
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y))
0.333 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) into (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))
0.333 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in (x y) around 0
0.333 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in y
0.333 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
0.333 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.333 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
0.333 * [taylor]: Taking taylor expansion of 1 in y
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
0.333 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.333 * [taylor]: Taking taylor expansion of -1 in y
0.333 * [backup-simplify]: Simplify -1 into -1
0.333 * [taylor]: Taking taylor expansion of x in y
0.333 * [backup-simplify]: Simplify x into x
0.333 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.333 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.333 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.333 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.333 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.333 * [taylor]: Taking taylor expansion of (* x y) in y
0.333 * [taylor]: Taking taylor expansion of x in y
0.333 * [backup-simplify]: Simplify x into x
0.333 * [taylor]: Taking taylor expansion of y in y
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [backup-simplify]: Simplify (* x 0) into 0
0.334 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.334 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.334 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x
0.334 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.334 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.334 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.334 * [taylor]: Taking taylor expansion of 1 in x
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.334 * [taylor]: Taking taylor expansion of -1 in x
0.334 * [backup-simplify]: Simplify -1 into -1
0.334 * [taylor]: Taking taylor expansion of x in x
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (/ -1 1) into -1
0.335 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.335 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.335 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.335 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.335 * [taylor]: Taking taylor expansion of (* x y) in x
0.335 * [taylor]: Taking taylor expansion of x in x
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [taylor]: Taking taylor expansion of y in x
0.335 * [backup-simplify]: Simplify y into y
0.335 * [backup-simplify]: Simplify (* 0 y) into 0
0.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.336 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.336 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x
0.336 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.336 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.336 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.336 * [taylor]: Taking taylor expansion of 1 in x
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.336 * [taylor]: Taking taylor expansion of -1 in x
0.336 * [backup-simplify]: Simplify -1 into -1
0.336 * [taylor]: Taking taylor expansion of x in x
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (/ -1 1) into -1
0.337 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.337 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.337 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.337 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.337 * [taylor]: Taking taylor expansion of (* x y) in x
0.337 * [taylor]: Taking taylor expansion of x in x
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 1 into 1
0.337 * [taylor]: Taking taylor expansion of y in x
0.337 * [backup-simplify]: Simplify y into y
0.337 * [backup-simplify]: Simplify (* 0 y) into 0
0.338 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.338 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.338 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.338 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.338 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.338 * [taylor]: Taking taylor expansion of y in y
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (/ 1 1) into 1
0.339 * [backup-simplify]: Simplify (- 1) into -1
0.339 * [backup-simplify]: Simplify -1 into -1
0.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.340 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1))
0.340 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
0.340 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
0.340 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.340 * [taylor]: Taking taylor expansion of -1 in y
0.341 * [backup-simplify]: Simplify -1 into -1
0.341 * [taylor]: Taking taylor expansion of x in y
0.341 * [backup-simplify]: Simplify x into x
0.341 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.341 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.341 * [taylor]: Taking taylor expansion of 1 in y
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
0.341 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (- 0) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
0.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.345 * [backup-simplify]: Simplify (- 0) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [taylor]: Taking taylor expansion of 0 in y
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [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
0.347 * [backup-simplify]: Simplify (- 0) into 0
0.347 * [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
0.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.352 * [backup-simplify]: Simplify (- 0) into 0
0.352 * [backup-simplify]: Simplify (+ 0 0) into 0
0.352 * [taylor]: Taking taylor expansion of 0 in y
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.353 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (- 0) into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [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
0.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.362 * [backup-simplify]: Simplify (- 0) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [taylor]: Taking taylor expansion of 0 in y
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y))
0.363 * * * [progress]: simplifying candidates
0.363 * * * * [progress]: [ 1 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ 1 (exp x))) (* y x)))>
0.363 * * * * [progress]: [ 2 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log1p (expm1 (log1p (exp x)))) (* y x)))>
0.363 * * * * [progress]: [ 3 / 40 ] simplifiying candidate #<alt (λ (x y) (- (expm1 (log1p (log1p (exp x)))) (* y x)))>
0.363 * * * * [progress]: [ 4 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log1p (exp x)) (* y x)))>
0.363 * * * * [progress]: [ 5 / 40 ] simplifiying candidate #<alt (λ (x y) (- (pow (log1p (exp x)) 1) (* y x)))>
0.363 * * * * [progress]: [ 6 / 40 ] simplifiying candidate #<alt (λ (x y) (- (exp (log (log1p (exp x)))) (* y x)))>
0.364 * * * * [progress]: [ 7 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (exp (log1p (exp x)))) (* y x)))>
0.364 * * * * [progress]: [ 8 / 40 ] simplifiying candidate #<alt (λ (x y) (- (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))>
0.364 * * * * [progress]: [ 9 / 40 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))) (* y x)))>
0.364 * * * * [progress]: [ 10 / 40 ] simplifiying candidate #<alt (λ (x y) (- (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* y x)))>
0.364 * * * * [progress]: [ 11 / 40 ] simplifiying candidate #<alt (λ (x y) (- (* 1 (log1p (exp x))) (* y x)))>
0.364 * * * * [progress]: [ 12 / 40 ] simplifiying candidate #<alt (λ (x y) (- (posit16->real (real->posit16 (log1p (exp x)))) (* y x)))>
0.364 * * * * [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))))>
0.364 * * * * [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))))>
0.364 * * * * [progress]: [ 15 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (fma 1 (log1p (exp x)) (- (* x y))) (fma (- x) y (* x y))))>
0.364 * * * * [progress]: [ 16 / 40 ] simplifiying candidate #<alt (λ (x y) (log1p (expm1 (- (log1p (exp x)) (* y x)))))>
0.364 * * * * [progress]: [ 17 / 40 ] simplifiying candidate #<alt (λ (x y) (expm1 (log1p (- (log1p (exp x)) (* y x)))))>
0.364 * * * * [progress]: [ 18 / 40 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
0.364 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #<alt (λ (x y) (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x))))>
0.364 * * * * [progress]: [ 20 / 40 ] simplifiying candidate #<alt (λ (x y) (fma 1 (log1p (exp x)) (- (* y x))))>
0.364 * * * * [progress]: [ 21 / 40 ] simplifiying candidate #<alt (λ (x y) (log (/ (+ 1 (exp x)) (exp (* y x)))))>
0.364 * * * * [progress]: [ 22 / 40 ] simplifiying candidate #<alt (λ (x y) (log (/ (exp (log1p (exp x))) (exp (* y x)))))>
0.364 * * * * [progress]: [ 23 / 40 ] simplifiying candidate #<alt (λ (x y) (pow (- (log1p (exp x)) (* y x)) 1))>
0.365 * * * * [progress]: [ 24 / 40 ] simplifiying candidate #<alt (λ (x y) (exp (log (- (log1p (exp x)) (* y x)))))>
0.365 * * * * [progress]: [ 25 / 40 ] simplifiying candidate #<alt (λ (x y) (log (exp (- (log1p (exp x)) (* y x)))))>
0.365 * * * * [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)))))>
0.365 * * * * [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)))))>
0.365 * * * * [progress]: [ 28 / 40 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x)))))>
0.365 * * * * [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))))))>
0.365 * * * * [progress]: [ 30 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (log1p (exp x)) (- (* y x))))>
0.365 * * * * [progress]: [ 31 / 40 ] simplifiying candidate #<alt (λ (x y) (* 1 (- (log1p (exp x)) (* y x))))>
0.365 * * * * [progress]: [ 32 / 40 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x))))>
0.365 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (log1p (exp x)) (- (* y x))))>
0.365 * * * * [progress]: [ 34 / 40 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (- (log1p (exp x)) (* y x)))))>
0.365 * * * * [progress]: [ 35 / 40 ] simplifiying candidate #<alt (λ (x y) (- (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (* y x)))>
0.365 * * * * [progress]: [ 36 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* y x)))>
0.365 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* y x)))>
0.365 * * * * [progress]: [ 38 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))>
0.365 * * * * [progress]: [ 39 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
0.365 * * * * [progress]: [ 40 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
0.366 * [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))
0.367 * * [simplify]: iteration 0: 61 enodes
0.385 * * [simplify]: iteration 1: 128 enodes
0.415 * * [simplify]: iteration 2: 461 enodes
0.812 * * [simplify]: iteration 3: 3124 enodes
1.830 * * [simplify]: iteration complete: 5000 enodes
1.830 * * [simplify]: Extracting #0: cost 28 inf + 0
1.832 * * [simplify]: Extracting #1: cost 642 inf + 0
1.839 * * [simplify]: Extracting #2: cost 932 inf + 8413
1.858 * * [simplify]: Extracting #3: cost 598 inf + 41266
1.890 * * [simplify]: Extracting #4: cost 207 inf + 137730
1.963 * * [simplify]: Extracting #5: cost 16 inf + 198191
2.065 * * [simplify]: Extracting #6: cost 0 inf + 203564
2.135 * [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)))
  (- (* (cbrt (log1p (exp x))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (* x y))
  (- (* y x) (* y x))
  (- (log1p (exp x)) (* y x))
  (- (* y x) (* y x))
  (- (log1p (exp x)) (* y x))
  (- (* y x) (* y x))
  (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 y (* x (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))
  (- (* y x))
  (* (+ (log1p (exp x)) (* x y)) (- (log1p (exp x)) (* x y)))
  (fma x y (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))
2.138 * * * [progress]: adding candidates to table
2.351 * * [progress]: iteration 2 / 4
2.351 * * * [progress]: picking best candidate
2.372 * * * * [pick]: Picked  #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
2.372 * * * [progress]: localizing error
2.413 * * * [progress]: generating rewritten candidates
2.413 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.415 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
2.416 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
2.418 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
2.420 * * * [progress]: generating series expansions
2.420 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.420 * [backup-simplify]: Simplify (cbrt (log1p (exp x))) into (pow (log1p (exp x)) 1/3)
2.420 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in (x) around 0
2.420 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
2.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
2.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
2.420 * [taylor]: Taking taylor expansion of 1/3 in x
2.420 * [backup-simplify]: Simplify 1/3 into 1/3
2.420 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
2.420 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.420 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.420 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.420 * [taylor]: Taking taylor expansion of 1 in x
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [taylor]: Taking taylor expansion of (exp x) in x
2.420 * [taylor]: Taking taylor expansion of x in x
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [backup-simplify]: Simplify (exp 0) into 1
2.421 * [backup-simplify]: Simplify (+ 1 1) into 2
2.422 * [backup-simplify]: Simplify (log 2) into (log 2)
2.423 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
2.425 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
2.427 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
2.427 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
2.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
2.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
2.427 * [taylor]: Taking taylor expansion of 1/3 in x
2.427 * [backup-simplify]: Simplify 1/3 into 1/3
2.428 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
2.428 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.428 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.428 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.428 * [taylor]: Taking taylor expansion of 1 in x
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [taylor]: Taking taylor expansion of (exp x) in x
2.428 * [taylor]: Taking taylor expansion of x in x
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [backup-simplify]: Simplify (exp 0) into 1
2.428 * [backup-simplify]: Simplify (+ 1 1) into 2
2.429 * [backup-simplify]: Simplify (log 2) into (log 2)
2.430 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
2.431 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
2.433 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
2.434 * [backup-simplify]: Simplify (pow (log 2) 1/3) into (pow (log 2) 1/3)
2.436 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.436 * [backup-simplify]: Simplify (+ 0 1) into 1
2.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
2.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2))
2.448 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2)))
2.454 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
2.456 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
2.457 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.457 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
2.459 * [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
2.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))
2.474 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2))))
2.501 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
2.506 * [backup-simplify]: Simplify (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
2.513 * [backup-simplify]: Simplify (+ (* (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow x 2)) (+ (* (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) x) (pow (log 2) 1/3))) into (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
2.514 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 1/3)
2.514 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in (x) around 0
2.514 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
2.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
2.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
2.514 * [taylor]: Taking taylor expansion of 1/3 in x
2.514 * [backup-simplify]: Simplify 1/3 into 1/3
2.514 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
2.514 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.514 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.514 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.514 * [taylor]: Taking taylor expansion of 1 in x
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.514 * [taylor]: Taking taylor expansion of x in x
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (/ 1 1) into 1
2.514 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.514 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.514 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.514 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
2.514 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
2.515 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
2.515 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
2.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
2.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
2.515 * [taylor]: Taking taylor expansion of 1/3 in x
2.515 * [backup-simplify]: Simplify 1/3 into 1/3
2.515 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
2.515 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.515 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.515 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.515 * [taylor]: Taking taylor expansion of 1 in x
2.515 * [backup-simplify]: Simplify 1 into 1
2.515 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.515 * [taylor]: Taking taylor expansion of x in x
2.515 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify 1 into 1
2.515 * [backup-simplify]: Simplify (/ 1 1) into 1
2.515 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.515 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.515 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.515 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
2.515 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
2.516 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
2.516 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 1/3) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
2.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0
2.517 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0
2.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify (+ 0 0) into 0
2.519 * [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
2.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0
2.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0
2.524 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify (+ 0 0) into 0
2.527 * [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
2.531 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0
2.532 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0
2.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.534 * [backup-simplify]: Simplify 0 into 0
2.535 * [backup-simplify]: Simplify (+ 0 0) into 0
2.540 * [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
2.546 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 24) into 0
2.548 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))) into 0
2.552 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify (+ 0 0) into 0
2.561 * [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
2.569 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 120) into 0
2.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))))) into 0
2.576 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.576 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify (+ 0 0) into 0
2.589 * [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
2.603 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0
2.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))))) into 0
2.613 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
2.613 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 1/3)
2.613 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in (x) around 0
2.614 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
2.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
2.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
2.614 * [taylor]: Taking taylor expansion of 1/3 in x
2.614 * [backup-simplify]: Simplify 1/3 into 1/3
2.614 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
2.614 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.614 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.614 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
2.614 * [taylor]: Taking taylor expansion of 1 in x
2.614 * [backup-simplify]: Simplify 1 into 1
2.614 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.614 * [taylor]: Taking taylor expansion of -1 in x
2.614 * [backup-simplify]: Simplify -1 into -1
2.614 * [taylor]: Taking taylor expansion of x in x
2.614 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify 1 into 1
2.615 * [backup-simplify]: Simplify (/ -1 1) into -1
2.615 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.615 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.615 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.616 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
2.616 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
2.616 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
2.616 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
2.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
2.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
2.616 * [taylor]: Taking taylor expansion of 1/3 in x
2.616 * [backup-simplify]: Simplify 1/3 into 1/3
2.616 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
2.616 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.617 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.617 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
2.617 * [taylor]: Taking taylor expansion of 1 in x
2.617 * [backup-simplify]: Simplify 1 into 1
2.617 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
2.617 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.617 * [taylor]: Taking taylor expansion of -1 in x
2.617 * [backup-simplify]: Simplify -1 into -1
2.617 * [taylor]: Taking taylor expansion of x in x
2.617 * [backup-simplify]: Simplify 0 into 0
2.617 * [backup-simplify]: Simplify 1 into 1
2.617 * [backup-simplify]: Simplify (/ -1 1) into -1
2.618 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
2.618 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
2.618 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
2.618 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
2.618 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
2.618 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
2.618 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 1/3) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
2.619 * [backup-simplify]: Simplify (+ 0 0) into 0
2.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
2.621 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0
2.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0
2.622 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.622 * [backup-simplify]: Simplify 0 into 0
2.623 * [backup-simplify]: Simplify (+ 0 0) into 0
2.629 * [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
2.632 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0
2.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0
2.634 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.634 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify (+ 0 0) into 0
2.638 * [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
2.641 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0
2.642 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0
2.644 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.644 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify (+ 0 0) into 0
2.651 * [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
2.656 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 24) into 0
2.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))) into 0
2.661 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.661 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify (+ 0 0) into 0
2.670 * [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
2.679 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 120) into 0
2.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))))) into 0
2.685 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.685 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [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
2.710 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0
2.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))))) into 0
2.719 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
2.719 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
2.719 * [backup-simplify]: Simplify (cbrt (log1p (exp x))) into (pow (log1p (exp x)) 1/3)
2.720 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in (x) around 0
2.720 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
2.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
2.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
2.720 * [taylor]: Taking taylor expansion of 1/3 in x
2.720 * [backup-simplify]: Simplify 1/3 into 1/3
2.720 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
2.720 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.720 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.720 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.720 * [taylor]: Taking taylor expansion of 1 in x
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [taylor]: Taking taylor expansion of (exp x) in x
2.720 * [taylor]: Taking taylor expansion of x in x
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [backup-simplify]: Simplify (exp 0) into 1
2.721 * [backup-simplify]: Simplify (+ 1 1) into 2
2.721 * [backup-simplify]: Simplify (log 2) into (log 2)
2.722 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
2.723 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
2.726 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
2.726 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
2.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
2.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
2.726 * [taylor]: Taking taylor expansion of 1/3 in x
2.726 * [backup-simplify]: Simplify 1/3 into 1/3
2.726 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
2.726 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.726 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.726 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.726 * [taylor]: Taking taylor expansion of 1 in x
2.726 * [backup-simplify]: Simplify 1 into 1
2.726 * [taylor]: Taking taylor expansion of (exp x) in x
2.726 * [taylor]: Taking taylor expansion of x in x
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify 1 into 1
2.726 * [backup-simplify]: Simplify (exp 0) into 1
2.727 * [backup-simplify]: Simplify (+ 1 1) into 2
2.727 * [backup-simplify]: Simplify (log 2) into (log 2)
2.728 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
2.729 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
2.731 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
2.733 * [backup-simplify]: Simplify (pow (log 2) 1/3) into (pow (log 2) 1/3)
2.734 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.734 * [backup-simplify]: Simplify (+ 0 1) into 1
2.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
2.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2))
2.747 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2)))
2.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
2.761 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
2.763 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
2.763 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
2.766 * [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
2.789 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))
2.804 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2))))
2.822 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
2.827 * [backup-simplify]: Simplify (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
2.835 * [backup-simplify]: Simplify (+ (* (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow x 2)) (+ (* (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) x) (pow (log 2) 1/3))) into (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
2.835 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 1/3)
2.835 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in (x) around 0
2.835 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
2.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
2.835 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
2.835 * [taylor]: Taking taylor expansion of 1/3 in x
2.835 * [backup-simplify]: Simplify 1/3 into 1/3
2.835 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
2.835 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.835 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.835 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.835 * [taylor]: Taking taylor expansion of 1 in x
2.835 * [backup-simplify]: Simplify 1 into 1
2.835 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.835 * [taylor]: Taking taylor expansion of x in x
2.835 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify 1 into 1
2.835 * [backup-simplify]: Simplify (/ 1 1) into 1
2.835 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.835 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.836 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.836 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
2.836 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
2.836 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
2.836 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
2.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
2.836 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
2.836 * [taylor]: Taking taylor expansion of 1/3 in x
2.836 * [backup-simplify]: Simplify 1/3 into 1/3
2.836 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
2.836 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
2.836 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
2.836 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
2.836 * [taylor]: Taking taylor expansion of 1 in x
2.836 * [backup-simplify]: Simplify 1 into 1
2.836 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
2.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.836 * [taylor]: Taking taylor expansion of x in x
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 1 into 1
2.836 * [backup-simplify]: Simplify (/ 1 1) into 1
2.836 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
2.836 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
2.836 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
2.837 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
2.837 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
2.837 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
2.837 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 1/3) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
2.837 * [backup-simplify]: Simplify (+ 0 0) into 0
2.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
2.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0
2.839 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0
2.839 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.839 * [backup-simplify]: Simplify 0 into 0
2.840 * [backup-simplify]: Simplify (+ 0 0) into 0
2.842 * [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
2.843 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0
2.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0
2.844 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify (+ 0 0) into 0
2.846 * [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
2.848 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0
2.849 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0
2.850 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify (+ 0 0) into 0
2.853 * [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
2.856 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 24) into 0
2.857 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))) into 0
2.859 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify (+ 0 0) into 0
2.864 * [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
2.869 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 120) into 0
2.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))))) into 0
2.874 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify (+ 0 0) into 0
2.887 * [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
2.908 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0
2.911 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))))) into 0
2.917 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.917 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
2.918 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 1/3)
2.918 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in (x) around 0
2.918 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
2.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
2.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
2.918 * [taylor]: Taking taylor expansion of 1/3 in x
2.918 * [backup-simplify]: Simplify 1/3 into 1/3
2.918 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
2.918 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.918 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.918 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
2.918 * [taylor]: Taking taylor expansion of 1 in x
2.918 * [backup-simplify]: Simplify 1 into 1
2.918 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
2.918 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.918 * [taylor]: Taking taylor expansion of -1 in x
2.918 * [backup-simplify]: Simplify -1 into -1
2.918 * [taylor]: Taking taylor expansion of x in x
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify 1 into 1
2.919 * [backup-simplify]: Simplify (/ -1 1) into -1
2.919 * [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 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
2.919 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
2.920 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
2.920 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
2.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
2.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
2.920 * [taylor]: Taking taylor expansion of 1/3 in x
2.920 * [backup-simplify]: Simplify 1/3 into 1/3
2.920 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
2.920 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
2.920 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
2.920 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
2.920 * [taylor]: Taking taylor expansion of 1 in x
2.920 * [backup-simplify]: Simplify 1 into 1
2.920 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
2.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.920 * [taylor]: Taking taylor expansion of -1 in x
2.920 * [backup-simplify]: Simplify -1 into -1
2.920 * [taylor]: Taking taylor expansion of x in x
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify 1 into 1
2.921 * [backup-simplify]: Simplify (/ -1 1) into -1
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 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
2.921 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
2.921 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
2.921 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 1/3) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
2.922 * [backup-simplify]: Simplify (+ 0 0) into 0
2.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
2.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0
2.924 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0
2.925 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.925 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify (+ 0 0) into 0
2.927 * [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
2.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0
2.929 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0
2.930 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify (+ 0 0) into 0
2.932 * [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
2.933 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0
2.934 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0
2.935 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.935 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.939 * [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
2.941 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 24) into 0
2.942 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))) into 0
2.944 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.944 * [backup-simplify]: Simplify 0 into 0
2.944 * [backup-simplify]: Simplify (+ 0 0) into 0
2.949 * [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
2.953 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 120) into 0
2.955 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))))) into 0
2.957 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify (+ 0 0) into 0
2.969 * [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
2.983 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0
2.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))))) into 0
2.989 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
2.989 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
2.990 * [backup-simplify]: Simplify (cbrt (log1p (exp x))) into (pow (log1p (exp x)) 1/3)
2.990 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in (x) around 0
2.990 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
2.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
2.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
2.990 * [taylor]: Taking taylor expansion of 1/3 in x
2.990 * [backup-simplify]: Simplify 1/3 into 1/3
2.990 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
2.990 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.990 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.990 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.990 * [taylor]: Taking taylor expansion of 1 in x
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [taylor]: Taking taylor expansion of (exp x) in x
2.990 * [taylor]: Taking taylor expansion of x in x
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify (exp 0) into 1
2.990 * [backup-simplify]: Simplify (+ 1 1) into 2
2.991 * [backup-simplify]: Simplify (log 2) into (log 2)
2.991 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
2.992 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
2.993 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
2.994 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
2.994 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
2.994 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
2.994 * [taylor]: Taking taylor expansion of 1/3 in x
2.994 * [backup-simplify]: Simplify 1/3 into 1/3
2.994 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
2.994 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
2.994 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
2.994 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
2.994 * [taylor]: Taking taylor expansion of 1 in x
2.994 * [backup-simplify]: Simplify 1 into 1
2.994 * [taylor]: Taking taylor expansion of (exp x) 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 * [backup-simplify]: Simplify (exp 0) into 1
2.994 * [backup-simplify]: Simplify (+ 1 1) into 2
2.994 * [backup-simplify]: Simplify (log 2) into (log 2)
2.995 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
2.996 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
2.997 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
2.998 * [backup-simplify]: Simplify (pow (log 2) 1/3) into (pow (log 2) 1/3)
2.998 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
2.999 * [backup-simplify]: Simplify (+ 0 1) into 1
2.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
3.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2))
3.013 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2)))
3.019 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
3.021 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
3.022 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
3.022 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.024 * [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
3.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))
3.039 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2))))
3.053 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
3.058 * [backup-simplify]: Simplify (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
3.065 * [backup-simplify]: Simplify (+ (* (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow x 2)) (+ (* (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) x) (pow (log 2) 1/3))) into (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
3.065 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 1/3)
3.065 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in (x) around 0
3.065 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
3.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
3.065 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
3.065 * [taylor]: Taking taylor expansion of 1/3 in x
3.065 * [backup-simplify]: Simplify 1/3 into 1/3
3.065 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
3.065 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.065 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.065 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.065 * [taylor]: Taking taylor expansion of 1 in x
3.065 * [backup-simplify]: Simplify 1 into 1
3.066 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.066 * [taylor]: Taking taylor expansion of x in x
3.066 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify 1 into 1
3.066 * [backup-simplify]: Simplify (/ 1 1) into 1
3.066 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.066 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.066 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.066 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
3.066 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
3.066 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
3.066 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
3.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
3.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
3.066 * [taylor]: Taking taylor expansion of 1/3 in x
3.066 * [backup-simplify]: Simplify 1/3 into 1/3
3.066 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
3.066 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.066 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.066 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.066 * [taylor]: Taking taylor expansion of 1 in x
3.066 * [backup-simplify]: Simplify 1 into 1
3.066 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.066 * [taylor]: Taking taylor expansion of x in x
3.066 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify 1 into 1
3.067 * [backup-simplify]: Simplify (/ 1 1) into 1
3.067 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.067 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.067 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.067 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
3.067 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
3.067 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
3.067 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 1/3) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
3.068 * [backup-simplify]: Simplify (+ 0 0) into 0
3.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
3.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0
3.069 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0
3.069 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify (+ 0 0) into 0
3.071 * [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
3.072 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0
3.073 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0
3.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.073 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify (+ 0 0) into 0
3.076 * [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
3.077 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0
3.078 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0
3.079 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.079 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify (+ 0 0) into 0
3.083 * [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
3.086 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 24) into 0
3.087 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))) into 0
3.088 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.088 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (+ 0 0) into 0
3.098 * [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
3.105 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 120) into 0
3.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))))) into 0
3.109 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify (+ 0 0) into 0
3.117 * [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
3.124 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0
3.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))))) into 0
3.130 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
3.130 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 1/3)
3.130 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in (x) around 0
3.130 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
3.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
3.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
3.130 * [taylor]: Taking taylor expansion of 1/3 in x
3.130 * [backup-simplify]: Simplify 1/3 into 1/3
3.130 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
3.130 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.130 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.130 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.130 * [taylor]: Taking taylor expansion of 1 in x
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.130 * [taylor]: Taking taylor expansion of -1 in x
3.130 * [backup-simplify]: Simplify -1 into -1
3.130 * [taylor]: Taking taylor expansion of x in x
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 1 into 1
3.131 * [backup-simplify]: Simplify (/ -1 1) into -1
3.131 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.131 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.131 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.131 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
3.131 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
3.131 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
3.131 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
3.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
3.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
3.131 * [taylor]: Taking taylor expansion of 1/3 in x
3.131 * [backup-simplify]: Simplify 1/3 into 1/3
3.131 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
3.131 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.131 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.131 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.131 * [taylor]: Taking taylor expansion of 1 in x
3.131 * [backup-simplify]: Simplify 1 into 1
3.131 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.131 * [taylor]: Taking taylor expansion of -1 in x
3.131 * [backup-simplify]: Simplify -1 into -1
3.131 * [taylor]: Taking taylor expansion of x in x
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 1 into 1
3.132 * [backup-simplify]: Simplify (/ -1 1) into -1
3.132 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.132 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.132 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.132 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
3.132 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
3.132 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
3.132 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 1/3) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
3.133 * [backup-simplify]: Simplify (+ 0 0) into 0
3.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0
3.134 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0
3.135 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify (+ 0 0) into 0
3.136 * [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
3.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0
3.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0
3.139 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.139 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify (+ 0 0) into 0
3.141 * [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
3.142 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0
3.143 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0
3.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify (+ 0 0) into 0
3.147 * [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
3.150 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 24) into 0
3.151 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))) into 0
3.154 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.154 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify (+ 0 0) into 0
3.163 * [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
3.171 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 120) into 0
3.173 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))))) into 0
3.177 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify (+ 0 0) into 0
3.191 * [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
3.205 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0
3.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))))) into 0
3.220 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.220 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
3.221 * * * * [progress]: [ 4 / 4 ] generating series at (2)
3.221 * [backup-simplify]: Simplify (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))) into (fma (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3) (- (* x y)))
3.221 * [approximate]: Taking taylor expansion of (fma (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3) (- (* x y))) in (x y) around 0
3.221 * [taylor]: Taking taylor expansion of (fma (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3) (- (* x y))) in y
3.221 * [taylor]: Rewrote expression to (+ (* (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3)) (- (* x y)))
3.221 * [taylor]: Taking taylor expansion of (* (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3)) in y
3.221 * [taylor]: Taking taylor expansion of (pow (pow (log1p (exp x)) 2) 1/3) in y
3.221 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (exp x)) 2)))) in y
3.221 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log1p (exp x)) 2))) in y
3.221 * [taylor]: Taking taylor expansion of 1/3 in y
3.221 * [backup-simplify]: Simplify 1/3 into 1/3
3.221 * [taylor]: Taking taylor expansion of (log (pow (log1p (exp x)) 2)) in y
3.221 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
3.221 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
3.221 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.221 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
3.221 * [taylor]: Taking taylor expansion of 1 in y
3.221 * [backup-simplify]: Simplify 1 into 1
3.221 * [taylor]: Taking taylor expansion of (exp x) in y
3.221 * [taylor]: Taking taylor expansion of x in y
3.221 * [backup-simplify]: Simplify x into x
3.221 * [backup-simplify]: Simplify (exp x) into (exp x)
3.221 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
3.221 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
3.221 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
3.221 * [backup-simplify]: Simplify (log (pow (log (+ (exp x) 1)) 2)) into (log (pow (log (+ (exp x) 1)) 2))
3.222 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (+ (exp x) 1)) 2))) into (* 1/3 (log (pow (log (+ (exp x) 1)) 2)))
3.222 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (+ (exp x) 1)) 2)))) into (pow (pow (log (+ (exp x) 1)) 2) 1/3)
3.222 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in y
3.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in y
3.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in y
3.222 * [taylor]: Taking taylor expansion of 1/3 in y
3.222 * [backup-simplify]: Simplify 1/3 into 1/3
3.222 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in y
3.222 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
3.222 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.222 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
3.222 * [taylor]: Taking taylor expansion of 1 in y
3.222 * [backup-simplify]: Simplify 1 into 1
3.222 * [taylor]: Taking taylor expansion of (exp x) in y
3.222 * [taylor]: Taking taylor expansion of x in y
3.222 * [backup-simplify]: Simplify x into x
3.222 * [backup-simplify]: Simplify (exp x) into (exp x)
3.222 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
3.222 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
3.222 * [backup-simplify]: Simplify (log (log (+ (exp x) 1))) into (log (log (+ (exp x) 1)))
3.222 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp x) 1)))) into (* 1/3 (log (log (+ (exp x) 1))))
3.222 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp x) 1))))) into (pow (log (+ (exp x) 1)) 1/3)
3.222 * [taylor]: Taking taylor expansion of (- (* x y)) in y
3.222 * [taylor]: Taking taylor expansion of (* x y) in y
3.222 * [taylor]: Taking taylor expansion of x in y
3.222 * [backup-simplify]: Simplify x into x
3.222 * [taylor]: Taking taylor expansion of y in y
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 1 into 1
3.222 * [taylor]: Taking taylor expansion of (fma (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3) (- (* x y))) in x
3.222 * [taylor]: Rewrote expression to (+ (* (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3)) (- (* x y)))
3.222 * [taylor]: Taking taylor expansion of (* (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3)) in x
3.222 * [taylor]: Taking taylor expansion of (pow (pow (log1p (exp x)) 2) 1/3) in x
3.222 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (exp x)) 2)))) in x
3.222 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log1p (exp x)) 2))) in x
3.222 * [taylor]: Taking taylor expansion of 1/3 in x
3.222 * [backup-simplify]: Simplify 1/3 into 1/3
3.222 * [taylor]: Taking taylor expansion of (log (pow (log1p (exp x)) 2)) in x
3.222 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
3.222 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.223 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.223 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.223 * [taylor]: Taking taylor expansion of 1 in x
3.223 * [backup-simplify]: Simplify 1 into 1
3.223 * [taylor]: Taking taylor expansion of (exp x) in x
3.223 * [taylor]: Taking taylor expansion of x in x
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 1 into 1
3.223 * [backup-simplify]: Simplify (exp 0) into 1
3.223 * [backup-simplify]: Simplify (+ 1 1) into 2
3.223 * [backup-simplify]: Simplify (log 2) into (log 2)
3.224 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
3.225 * [backup-simplify]: Simplify (log (pow (log 2) 2)) into (log (pow (log 2) 2))
3.226 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 2) 2))) into (* 1/3 (log (pow (log 2) 2)))
3.228 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 2) 2)))) into (pow (pow (log 2) 2) 1/3)
3.228 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
3.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
3.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
3.228 * [taylor]: Taking taylor expansion of 1/3 in x
3.228 * [backup-simplify]: Simplify 1/3 into 1/3
3.228 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
3.228 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.228 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.228 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.228 * [taylor]: Taking taylor expansion of 1 in x
3.228 * [backup-simplify]: Simplify 1 into 1
3.228 * [taylor]: Taking taylor expansion of (exp x) in x
3.228 * [taylor]: Taking taylor expansion of x in x
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 1 into 1
3.228 * [backup-simplify]: Simplify (exp 0) into 1
3.228 * [backup-simplify]: Simplify (+ 1 1) into 2
3.229 * [backup-simplify]: Simplify (log 2) into (log 2)
3.229 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
3.230 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
3.231 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
3.231 * [taylor]: Taking taylor expansion of (- (* x y)) in x
3.231 * [taylor]: Taking taylor expansion of (* x y) in x
3.231 * [taylor]: Taking taylor expansion of x in x
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 1 into 1
3.231 * [taylor]: Taking taylor expansion of y in x
3.231 * [backup-simplify]: Simplify y into y
3.231 * [taylor]: Taking taylor expansion of (fma (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3) (- (* x y))) in x
3.231 * [taylor]: Rewrote expression to (+ (* (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3)) (- (* x y)))
3.231 * [taylor]: Taking taylor expansion of (* (pow (pow (log1p (exp x)) 2) 1/3) (pow (log1p (exp x)) 1/3)) in x
3.231 * [taylor]: Taking taylor expansion of (pow (pow (log1p (exp x)) 2) 1/3) in x
3.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (exp x)) 2)))) in x
3.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log1p (exp x)) 2))) in x
3.231 * [taylor]: Taking taylor expansion of 1/3 in x
3.231 * [backup-simplify]: Simplify 1/3 into 1/3
3.232 * [taylor]: Taking taylor expansion of (log (pow (log1p (exp x)) 2)) in x
3.232 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
3.232 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.232 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.232 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.232 * [taylor]: Taking taylor expansion of 1 in x
3.232 * [backup-simplify]: Simplify 1 into 1
3.232 * [taylor]: Taking taylor expansion of (exp x) in x
3.232 * [taylor]: Taking taylor expansion of x in x
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify 1 into 1
3.232 * [backup-simplify]: Simplify (exp 0) into 1
3.232 * [backup-simplify]: Simplify (+ 1 1) into 2
3.232 * [backup-simplify]: Simplify (log 2) into (log 2)
3.233 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
3.234 * [backup-simplify]: Simplify (log (pow (log 2) 2)) into (log (pow (log 2) 2))
3.235 * [backup-simplify]: Simplify (* 1/3 (log (pow (log 2) 2))) into (* 1/3 (log (pow (log 2) 2)))
3.237 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log 2) 2)))) into (pow (pow (log 2) 2) 1/3)
3.237 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
3.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
3.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
3.237 * [taylor]: Taking taylor expansion of 1/3 in x
3.237 * [backup-simplify]: Simplify 1/3 into 1/3
3.237 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
3.237 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
3.237 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
3.237 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
3.237 * [taylor]: Taking taylor expansion of 1 in x
3.237 * [backup-simplify]: Simplify 1 into 1
3.237 * [taylor]: Taking taylor expansion of (exp x) in x
3.237 * [taylor]: Taking taylor expansion of x in x
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.237 * [backup-simplify]: Simplify (exp 0) into 1
3.237 * [backup-simplify]: Simplify (+ 1 1) into 2
3.238 * [backup-simplify]: Simplify (log 2) into (log 2)
3.238 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
3.239 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
3.240 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
3.240 * [taylor]: Taking taylor expansion of (- (* x y)) in x
3.240 * [taylor]: Taking taylor expansion of (* x y) in x
3.240 * [taylor]: Taking taylor expansion of x in x
3.241 * [backup-simplify]: Simplify 0 into 0
3.241 * [backup-simplify]: Simplify 1 into 1
3.241 * [taylor]: Taking taylor expansion of y in x
3.241 * [backup-simplify]: Simplify y into y
3.243 * [backup-simplify]: Simplify (* (pow (pow (log 2) 2) 1/3) (pow (log 2) 1/3)) into (log 2)
3.243 * [backup-simplify]: Simplify (* 0 y) into 0
3.243 * [backup-simplify]: Simplify (- 0) into 0
3.243 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
3.243 * [taylor]: Taking taylor expansion of (log 2) in y
3.243 * [taylor]: Taking taylor expansion of 2 in y
3.243 * [backup-simplify]: Simplify 2 into 2
3.244 * [backup-simplify]: Simplify (log 2) into (log 2)
3.244 * [backup-simplify]: Simplify (log 2) into (log 2)
3.245 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
3.245 * [backup-simplify]: Simplify (+ 0 1) into 1
3.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
3.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2))
3.252 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2)))
3.262 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
3.263 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
3.263 * [backup-simplify]: Simplify (+ 0 1) into 1
3.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
3.267 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
3.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log 2)) 1)) (pow (pow (log 2) 2) 1)))) 1) into (/ 1 (log 2))
3.279 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (log 2))) (* 0 (log (pow (log 2) 2)))) into (* 1/3 (/ 1 (log 2)))
3.285 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 2) 2)))) (+ (* (/ (pow (* 1/3 (/ 1 (log 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (log 2)) 1/3))
3.294 * [backup-simplify]: Simplify (+ (* (pow (pow (log 2) 2) 1/3) (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))) (* (* 1/3 (pow (/ 1 (log 2)) 1/3)) (pow (log 2) 1/3))) into 1/2
3.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.295 * [backup-simplify]: Simplify (- y) into (- y)
3.295 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y)
3.295 * [taylor]: Taking taylor expansion of (- 1/2 y) in y
3.295 * [taylor]: Taking taylor expansion of 1/2 in y
3.295 * [backup-simplify]: Simplify 1/2 into 1/2
3.295 * [taylor]: Taking taylor expansion of y in y
3.295 * [backup-simplify]: Simplify 0 into 0
3.295 * [backup-simplify]: Simplify 1 into 1
3.295 * [backup-simplify]: Simplify (- 0) into 0
3.296 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.296 * [backup-simplify]: Simplify 1/2 into 1/2
3.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
3.297 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
3.300 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.303 * [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
3.318 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))
3.339 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2))))
3.364 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
3.366 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
3.367 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.369 * [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
3.374 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
3.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (log 2)) 2)) (pow (pow (log 2) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/4 (log 2)) 1/4)) 1)) (pow (pow (log 2) 2) 1)))) 2) into (* 1/2 (- (* 1/2 (/ 1 (log 2))) (* 1/2 (/ 1 (pow (log 2) 2)))))
3.398 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/2 (/ 1 (log 2))) (* 1/2 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1 (log 2))) (* 0 (log (pow (log 2) 2))))) into (- (* 1/12 (/ 1 (log 2))) (* 1/12 (/ 1 (pow (log 2) 2))))
3.413 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log 2) 2)))) (+ (* (/ (pow (* 1/3 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (log 2))) (* 1/12 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (pow (log 2) 2) 1/3) (- (* 1/12 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
3.449 * [backup-simplify]: Simplify (+ (* (pow (pow (log 2) 2) 1/3) (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))) (+ (* (* 1/3 (pow (/ 1 (log 2)) 1/3)) (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))) (* (* (pow (pow (log 2) 2) 1/3) (- (* 1/12 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow (log 2) 1/3)))) into 1/8
3.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.450 * [backup-simplify]: Simplify (- 0) into 0
3.455 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
3.456 * [taylor]: Taking taylor expansion of 1/8 in y
3.456 * [backup-simplify]: Simplify 1/8 into 1/8
3.456 * [backup-simplify]: Simplify 1/8 into 1/8
3.457 * [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))))
3.457 * [backup-simplify]: Simplify (fma (* (cbrt (log1p (exp (/ 1 x)))) (cbrt (log1p (exp (/ 1 x))))) (cbrt (log1p (exp (/ 1 x)))) (- (* (/ 1 y) (/ 1 x)))) into (fma (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3) (- (/ 1 (* x y))))
3.457 * [approximate]: Taking taylor expansion of (fma (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3) (- (/ 1 (* x y)))) in (x y) around 0
3.457 * [taylor]: Taking taylor expansion of (fma (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3) (- (/ 1 (* x y)))) in y
3.457 * [taylor]: Rewrote expression to (+ (* (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3)) (- (/ 1 (* x y))))
3.457 * [taylor]: Taking taylor expansion of (* (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3)) in y
3.457 * [taylor]: Taking taylor expansion of (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) in y
3.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (exp (/ 1 x))) 2)))) in y
3.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log1p (exp (/ 1 x))) 2))) in y
3.457 * [taylor]: Taking taylor expansion of 1/3 in y
3.457 * [backup-simplify]: Simplify 1/3 into 1/3
3.457 * [taylor]: Taking taylor expansion of (log (pow (log1p (exp (/ 1 x))) 2)) in y
3.457 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
3.457 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
3.457 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.457 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
3.457 * [taylor]: Taking taylor expansion of 1 in y
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
3.458 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.458 * [taylor]: Taking taylor expansion of x in y
3.458 * [backup-simplify]: Simplify x into x
3.458 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.458 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.458 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.458 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.458 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
3.458 * [backup-simplify]: Simplify (log (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (log (pow (log (+ (exp (/ 1 x)) 1)) 2))
3.458 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))
3.458 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))) into (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1/3)
3.458 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in y
3.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in y
3.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in y
3.459 * [taylor]: Taking taylor expansion of 1/3 in y
3.459 * [backup-simplify]: Simplify 1/3 into 1/3
3.459 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in y
3.459 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
3.459 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.459 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
3.459 * [taylor]: Taking taylor expansion of 1 in y
3.459 * [backup-simplify]: Simplify 1 into 1
3.459 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
3.459 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.459 * [taylor]: Taking taylor expansion of x in y
3.459 * [backup-simplify]: Simplify x into x
3.459 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.459 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.459 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.459 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.459 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
3.459 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
3.459 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
3.459 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in y
3.459 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
3.459 * [taylor]: Taking taylor expansion of (* x y) in y
3.459 * [taylor]: Taking taylor expansion of x in y
3.460 * [backup-simplify]: Simplify x into x
3.460 * [taylor]: Taking taylor expansion of y in y
3.460 * [backup-simplify]: Simplify 0 into 0
3.460 * [backup-simplify]: Simplify 1 into 1
3.460 * [backup-simplify]: Simplify (* x 0) into 0
3.460 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
3.460 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.460 * [taylor]: Taking taylor expansion of (fma (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3) (- (/ 1 (* x y)))) in x
3.460 * [taylor]: Rewrote expression to (+ (* (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3)) (- (/ 1 (* x y))))
3.460 * [taylor]: Taking taylor expansion of (* (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3)) in x
3.460 * [taylor]: Taking taylor expansion of (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) in x
3.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (exp (/ 1 x))) 2)))) in x
3.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log1p (exp (/ 1 x))) 2))) in x
3.461 * [taylor]: Taking taylor expansion of 1/3 in x
3.461 * [backup-simplify]: Simplify 1/3 into 1/3
3.461 * [taylor]: Taking taylor expansion of (log (pow (log1p (exp (/ 1 x))) 2)) in x
3.461 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
3.461 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.461 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.461 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.461 * [taylor]: Taking taylor expansion of 1 in x
3.461 * [backup-simplify]: Simplify 1 into 1
3.461 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.461 * [taylor]: Taking taylor expansion of x in x
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 1 into 1
3.461 * [backup-simplify]: Simplify (/ 1 1) into 1
3.461 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.461 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.461 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.462 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
3.462 * [backup-simplify]: Simplify (log (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (log (pow (log (+ (exp (/ 1 x)) 1)) 2))
3.462 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))
3.462 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))) into (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1/3)
3.462 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
3.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
3.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
3.462 * [taylor]: Taking taylor expansion of 1/3 in x
3.462 * [backup-simplify]: Simplify 1/3 into 1/3
3.462 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
3.462 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.462 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.462 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.462 * [taylor]: Taking taylor expansion of 1 in x
3.462 * [backup-simplify]: Simplify 1 into 1
3.462 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.462 * [taylor]: Taking taylor expansion of x in x
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 1 into 1
3.463 * [backup-simplify]: Simplify (/ 1 1) into 1
3.463 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.463 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.463 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.463 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
3.463 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
3.463 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
3.463 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x
3.464 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.464 * [taylor]: Taking taylor expansion of (* x y) in x
3.464 * [taylor]: Taking taylor expansion of x in x
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 1 into 1
3.464 * [taylor]: Taking taylor expansion of y in x
3.464 * [backup-simplify]: Simplify y into y
3.464 * [backup-simplify]: Simplify (* 0 y) into 0
3.464 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.464 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.464 * [taylor]: Taking taylor expansion of (fma (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3) (- (/ 1 (* x y)))) in x
3.464 * [taylor]: Rewrote expression to (+ (* (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3)) (- (/ 1 (* x y))))
3.464 * [taylor]: Taking taylor expansion of (* (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) (pow (log1p (exp (/ 1 x))) 1/3)) in x
3.464 * [taylor]: Taking taylor expansion of (pow (pow (log1p (exp (/ 1 x))) 2) 1/3) in x
3.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (exp (/ 1 x))) 2)))) in x
3.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log1p (exp (/ 1 x))) 2))) in x
3.464 * [taylor]: Taking taylor expansion of 1/3 in x
3.464 * [backup-simplify]: Simplify 1/3 into 1/3
3.464 * [taylor]: Taking taylor expansion of (log (pow (log1p (exp (/ 1 x))) 2)) in x
3.464 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
3.464 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.464 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.465 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.465 * [taylor]: Taking taylor expansion of 1 in x
3.465 * [backup-simplify]: Simplify 1 into 1
3.465 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.465 * [taylor]: Taking taylor expansion of x in x
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify 1 into 1
3.465 * [backup-simplify]: Simplify (/ 1 1) into 1
3.465 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.465 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.465 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.465 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
3.466 * [backup-simplify]: Simplify (log (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (log (pow (log (+ (exp (/ 1 x)) 1)) 2))
3.466 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2))) into (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))
3.466 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))) into (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1/3)
3.466 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
3.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
3.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
3.466 * [taylor]: Taking taylor expansion of 1/3 in x
3.466 * [backup-simplify]: Simplify 1/3 into 1/3
3.466 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
3.466 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
3.466 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
3.466 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
3.466 * [taylor]: Taking taylor expansion of 1 in x
3.466 * [backup-simplify]: Simplify 1 into 1
3.466 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
3.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.466 * [taylor]: Taking taylor expansion of x in x
3.466 * [backup-simplify]: Simplify 0 into 0
3.466 * [backup-simplify]: Simplify 1 into 1
3.467 * [backup-simplify]: Simplify (/ 1 1) into 1
3.467 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.467 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
3.467 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.467 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
3.467 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
3.467 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
3.467 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x
3.467 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.467 * [taylor]: Taking taylor expansion of (* x y) in x
3.467 * [taylor]: Taking taylor expansion of x in x
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 1 into 1
3.468 * [taylor]: Taking taylor expansion of y in x
3.468 * [backup-simplify]: Simplify y into y
3.468 * [backup-simplify]: Simplify (* 0 y) into 0
3.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.468 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.468 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
3.468 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
3.468 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
3.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.469 * [taylor]: Taking taylor expansion of y in y
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 1 into 1
3.469 * [backup-simplify]: Simplify (/ 1 1) into 1
3.469 * [backup-simplify]: Simplify (- 1) into -1
3.469 * [backup-simplify]: Simplify -1 into -1
3.470 * [backup-simplify]: Simplify (* (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1/3) (pow (log (+ (exp (/ 1 x)) 1)) 1/3)) into (log (+ (exp (/ 1 x)) 1))
3.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.471 * [backup-simplify]: Simplify (- 0) into 0
3.471 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1))
3.471 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
3.471 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
3.471 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
3.471 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.471 * [taylor]: Taking taylor expansion of x in y
3.471 * [backup-simplify]: Simplify x into x
3.471 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.471 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
3.471 * [taylor]: Taking taylor expansion of 1 in y
3.471 * [backup-simplify]: Simplify 1 into 1
3.471 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
3.471 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.472 * [backup-simplify]: Simplify (- 0) into 0
3.472 * [backup-simplify]: Simplify 0 into 0
3.473 * [backup-simplify]: Simplify (+ 0 0) into 0
3.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
3.474 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0
3.475 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0
3.476 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.476 * [backup-simplify]: Simplify (+ 0 0) into 0
3.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
3.477 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
3.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1)))) 1) into 0
3.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))) into 0
3.479 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.480 * [backup-simplify]: Simplify (+ (* (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1/3) 0) (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 1/3))) into 0
3.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
3.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.481 * [backup-simplify]: Simplify (- 0) into 0
3.481 * [backup-simplify]: Simplify (+ 0 0) into 0
3.481 * [taylor]: Taking taylor expansion of 0 in y
3.481 * [backup-simplify]: Simplify 0 into 0
3.482 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.483 * [backup-simplify]: Simplify (- 0) into 0
3.483 * [backup-simplify]: Simplify 0 into 0
3.483 * [backup-simplify]: Simplify (+ 0 0) into 0
3.485 * [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
3.486 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0
3.487 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0
3.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.489 * [backup-simplify]: Simplify (+ 0 0) into 0
3.490 * [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
3.491 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
3.492 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1)))) 2) into 0
3.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (log (+ (exp (/ 1 x)) 1)) 2))))) into 0
3.494 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.495 * [backup-simplify]: Simplify (+ (* (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 1/3)))) into 0
3.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.497 * [backup-simplify]: Simplify (- 0) into 0
3.497 * [backup-simplify]: Simplify (+ 0 0) into 0
3.497 * [taylor]: Taking taylor expansion of 0 in y
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
3.498 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
3.499 * [backup-simplify]: Simplify (+ 0 0) into 0
3.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
3.499 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (- 0) into 0
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify (+ 0 0) into 0
3.504 * [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
3.506 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0
3.507 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0
3.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.509 * [backup-simplify]: Simplify (+ 0 0) into 0
3.512 * [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
3.513 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0
3.515 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1)))) 6) into 0
3.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))))) into 0
3.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log (+ (exp (/ 1 x)) 1)) 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.519 * [backup-simplify]: Simplify (+ (* (pow (pow (log (+ (exp (/ 1 x)) 1)) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 1/3))))) into 0
3.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
3.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.521 * [backup-simplify]: Simplify (- 0) into 0
3.521 * [backup-simplify]: Simplify (+ 0 0) into 0
3.521 * [taylor]: Taking taylor expansion of 0 in y
3.521 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y))
3.522 * [backup-simplify]: Simplify (fma (* (cbrt (log1p (exp (/ 1 (- x))))) (cbrt (log1p (exp (/ 1 (- x)))))) (cbrt (log1p (exp (/ 1 (- x))))) (- (* (/ 1 (- y)) (/ 1 (- x))))) into (fma (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3) (- (/ 1 (* x y))))
3.522 * [approximate]: Taking taylor expansion of (fma (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3) (- (/ 1 (* x y)))) in (x y) around 0
3.522 * [taylor]: Taking taylor expansion of (fma (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3) (- (/ 1 (* x y)))) in y
3.522 * [taylor]: Rewrote expression to (+ (* (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3)) (- (/ 1 (* x y))))
3.522 * [taylor]: Taking taylor expansion of (* (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3)) in y
3.522 * [taylor]: Taking taylor expansion of (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) in y
3.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (exp (/ -1 x))) 2)))) in y
3.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log1p (exp (/ -1 x))) 2))) in y
3.523 * [taylor]: Taking taylor expansion of 1/3 in y
3.523 * [backup-simplify]: Simplify 1/3 into 1/3
3.523 * [taylor]: Taking taylor expansion of (log (pow (log1p (exp (/ -1 x))) 2)) in y
3.523 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
3.523 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
3.523 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.523 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
3.523 * [taylor]: Taking taylor expansion of 1 in y
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
3.523 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.523 * [taylor]: Taking taylor expansion of -1 in y
3.523 * [backup-simplify]: Simplify -1 into -1
3.523 * [taylor]: Taking taylor expansion of x in y
3.523 * [backup-simplify]: Simplify x into x
3.523 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.523 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.523 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.523 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.523 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.523 * [backup-simplify]: Simplify (log (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (log (pow (log (+ (exp (/ -1 x)) 1)) 2))
3.524 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2))) into (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))
3.524 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))) into (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1/3)
3.524 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in y
3.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in y
3.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in y
3.524 * [taylor]: Taking taylor expansion of 1/3 in y
3.524 * [backup-simplify]: Simplify 1/3 into 1/3
3.524 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in y
3.524 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
3.524 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.524 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
3.524 * [taylor]: Taking taylor expansion of 1 in y
3.524 * [backup-simplify]: Simplify 1 into 1
3.524 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
3.524 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.524 * [taylor]: Taking taylor expansion of -1 in y
3.524 * [backup-simplify]: Simplify -1 into -1
3.524 * [taylor]: Taking taylor expansion of x in y
3.524 * [backup-simplify]: Simplify x into x
3.524 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.524 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.524 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.524 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.525 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
3.525 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
3.525 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
3.525 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in y
3.525 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
3.525 * [taylor]: Taking taylor expansion of (* x y) in y
3.525 * [taylor]: Taking taylor expansion of x in y
3.525 * [backup-simplify]: Simplify x into x
3.525 * [taylor]: Taking taylor expansion of y in y
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [backup-simplify]: Simplify (* x 0) into 0
3.526 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
3.526 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.526 * [taylor]: Taking taylor expansion of (fma (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3) (- (/ 1 (* x y)))) in x
3.526 * [taylor]: Rewrote expression to (+ (* (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3)) (- (/ 1 (* x y))))
3.526 * [taylor]: Taking taylor expansion of (* (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3)) in x
3.526 * [taylor]: Taking taylor expansion of (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) in x
3.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (exp (/ -1 x))) 2)))) in x
3.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log1p (exp (/ -1 x))) 2))) in x
3.526 * [taylor]: Taking taylor expansion of 1/3 in x
3.526 * [backup-simplify]: Simplify 1/3 into 1/3
3.526 * [taylor]: Taking taylor expansion of (log (pow (log1p (exp (/ -1 x))) 2)) in x
3.526 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
3.526 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.526 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.526 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.526 * [taylor]: Taking taylor expansion of 1 in x
3.526 * [backup-simplify]: Simplify 1 into 1
3.526 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.526 * [taylor]: Taking taylor expansion of -1 in x
3.526 * [backup-simplify]: Simplify -1 into -1
3.526 * [taylor]: Taking taylor expansion of x in x
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [backup-simplify]: Simplify 1 into 1
3.527 * [backup-simplify]: Simplify (/ -1 1) into -1
3.527 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.527 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.527 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.527 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.527 * [backup-simplify]: Simplify (log (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (log (pow (log (+ (exp (/ -1 x)) 1)) 2))
3.527 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2))) into (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))
3.527 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))) into (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1/3)
3.528 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
3.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
3.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
3.528 * [taylor]: Taking taylor expansion of 1/3 in x
3.528 * [backup-simplify]: Simplify 1/3 into 1/3
3.528 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
3.528 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.528 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.528 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.528 * [taylor]: Taking taylor expansion of 1 in x
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.528 * [taylor]: Taking taylor expansion of -1 in x
3.528 * [backup-simplify]: Simplify -1 into -1
3.528 * [taylor]: Taking taylor expansion of x in x
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [backup-simplify]: Simplify (/ -1 1) into -1
3.528 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.529 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.529 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.529 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
3.529 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
3.529 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
3.529 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x
3.529 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.529 * [taylor]: Taking taylor expansion of (* x y) in x
3.529 * [taylor]: Taking taylor expansion of x in x
3.529 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify 1 into 1
3.529 * [taylor]: Taking taylor expansion of y in x
3.529 * [backup-simplify]: Simplify y into y
3.529 * [backup-simplify]: Simplify (* 0 y) into 0
3.530 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.530 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.530 * [taylor]: Taking taylor expansion of (fma (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3) (- (/ 1 (* x y)))) in x
3.530 * [taylor]: Rewrote expression to (+ (* (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3)) (- (/ 1 (* x y))))
3.530 * [taylor]: Taking taylor expansion of (* (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) (pow (log1p (exp (/ -1 x))) 1/3)) in x
3.530 * [taylor]: Taking taylor expansion of (pow (pow (log1p (exp (/ -1 x))) 2) 1/3) in x
3.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log1p (exp (/ -1 x))) 2)))) in x
3.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log1p (exp (/ -1 x))) 2))) in x
3.530 * [taylor]: Taking taylor expansion of 1/3 in x
3.530 * [backup-simplify]: Simplify 1/3 into 1/3
3.530 * [taylor]: Taking taylor expansion of (log (pow (log1p (exp (/ -1 x))) 2)) in x
3.530 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
3.530 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.530 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.530 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.530 * [taylor]: Taking taylor expansion of 1 in x
3.530 * [backup-simplify]: Simplify 1 into 1
3.530 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.530 * [taylor]: Taking taylor expansion of -1 in x
3.530 * [backup-simplify]: Simplify -1 into -1
3.530 * [taylor]: Taking taylor expansion of x in x
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 1 into 1
3.531 * [backup-simplify]: Simplify (/ -1 1) into -1
3.531 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.531 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.531 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.531 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
3.531 * [backup-simplify]: Simplify (log (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (log (pow (log (+ (exp (/ -1 x)) 1)) 2))
3.531 * [backup-simplify]: Simplify (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2))) into (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))
3.531 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))) into (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1/3)
3.532 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
3.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
3.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
3.532 * [taylor]: Taking taylor expansion of 1/3 in x
3.532 * [backup-simplify]: Simplify 1/3 into 1/3
3.532 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
3.532 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
3.532 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
3.532 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
3.532 * [taylor]: Taking taylor expansion of 1 in x
3.532 * [backup-simplify]: Simplify 1 into 1
3.532 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
3.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.532 * [taylor]: Taking taylor expansion of -1 in x
3.532 * [backup-simplify]: Simplify -1 into -1
3.532 * [taylor]: Taking taylor expansion of x in x
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify 1 into 1
3.532 * [backup-simplify]: Simplify (/ -1 1) into -1
3.532 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.533 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
3.533 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.533 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
3.533 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
3.533 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
3.533 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x
3.533 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.533 * [taylor]: Taking taylor expansion of (* x y) in x
3.533 * [taylor]: Taking taylor expansion of x in x
3.533 * [backup-simplify]: Simplify 0 into 0
3.533 * [backup-simplify]: Simplify 1 into 1
3.533 * [taylor]: Taking taylor expansion of y in x
3.533 * [backup-simplify]: Simplify y into y
3.533 * [backup-simplify]: Simplify (* 0 y) into 0
3.534 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.534 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.534 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
3.534 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
3.534 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
3.534 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.534 * [taylor]: Taking taylor expansion of y in y
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 1 into 1
3.534 * [backup-simplify]: Simplify (/ 1 1) into 1
3.535 * [backup-simplify]: Simplify (- 1) into -1
3.535 * [backup-simplify]: Simplify -1 into -1
3.535 * [backup-simplify]: Simplify (* (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1/3) (pow (log (+ (exp (/ -1 x)) 1)) 1/3)) into (log (+ (exp (/ -1 x)) 1))
3.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.536 * [backup-simplify]: Simplify (- 0) into 0
3.536 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1))
3.536 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
3.536 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
3.536 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
3.536 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.536 * [taylor]: Taking taylor expansion of -1 in y
3.536 * [backup-simplify]: Simplify -1 into -1
3.536 * [taylor]: Taking taylor expansion of x in y
3.536 * [backup-simplify]: Simplify x into x
3.536 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.537 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
3.537 * [taylor]: Taking taylor expansion of 1 in y
3.537 * [backup-simplify]: Simplify 1 into 1
3.537 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
3.537 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.538 * [backup-simplify]: Simplify (- 0) into 0
3.538 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify (+ 0 0) into 0
3.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.540 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0
3.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0
3.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.541 * [backup-simplify]: Simplify (+ 0 0) into 0
3.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.542 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
3.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1)))) 1) into 0
3.543 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))) into 0
3.544 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.545 * [backup-simplify]: Simplify (+ (* (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1/3) 0) (* 0 (pow (log (+ (exp (/ -1 x)) 1)) 1/3))) into 0
3.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
3.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.546 * [backup-simplify]: Simplify (- 0) into 0
3.547 * [backup-simplify]: Simplify (+ 0 0) into 0
3.547 * [taylor]: Taking taylor expansion of 0 in y
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.548 * [backup-simplify]: Simplify (- 0) into 0
3.548 * [backup-simplify]: Simplify 0 into 0
3.548 * [backup-simplify]: Simplify (+ 0 0) into 0
3.550 * [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
3.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0
3.552 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0
3.554 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.554 * [backup-simplify]: Simplify (+ 0 0) into 0
3.556 * [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
3.556 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
3.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1)))) 2) into 0
3.559 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (log (+ (exp (/ -1 x)) 1)) 2))))) into 0
3.560 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ (* (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (log (+ (exp (/ -1 x)) 1)) 1/3)))) into 0
3.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.563 * [backup-simplify]: Simplify (- 0) into 0
3.563 * [backup-simplify]: Simplify (+ 0 0) into 0
3.563 * [taylor]: Taking taylor expansion of 0 in y
3.563 * [backup-simplify]: Simplify 0 into 0
3.563 * [backup-simplify]: Simplify 0 into 0
3.563 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
3.564 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
3.564 * [backup-simplify]: Simplify (+ 0 0) into 0
3.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
3.565 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.566 * [backup-simplify]: Simplify (- 0) into 0
3.566 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify (+ 0 0) into 0
3.568 * [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
3.570 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0
3.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0
3.572 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.572 * [backup-simplify]: Simplify (+ 0 0) into 0
3.574 * [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
3.575 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0
3.576 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1)))) 6) into 0
3.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))))) into 0
3.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log (+ (exp (/ -1 x)) 1)) 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.580 * [backup-simplify]: Simplify (+ (* (pow (pow (log (+ (exp (/ -1 x)) 1)) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (log (+ (exp (/ -1 x)) 1)) 1/3))))) into 0
3.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
3.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.583 * [backup-simplify]: Simplify (- 0) into 0
3.584 * [backup-simplify]: Simplify (+ 0 0) into 0
3.584 * [taylor]: Taking taylor expansion of 0 in y
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y))
3.585 * * * [progress]: simplifying candidates
3.585 * * * * [progress]: [ 1 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (log1p (expm1 (cbrt (log1p (exp x))))) (- (* y x))))>
3.585 * * * * [progress]: [ 2 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (expm1 (log1p (cbrt (log1p (exp x))))) (- (* y x))))>
3.585 * * * * [progress]: [ 3 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (pow (log1p (exp x)) 1/3) (- (* y x))))>
3.585 * * * * [progress]: [ 4 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (pow (cbrt (log1p (exp x))) 1) (- (* y x))))>
3.585 * * * * [progress]: [ 5 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (exp (log (cbrt (log1p (exp x))))) (- (* y x))))>
3.585 * * * * [progress]: [ 6 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (log (exp (cbrt (log1p (exp x))))) (- (* y x))))>
3.585 * * * * [progress]: [ 7 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x))))) (- (* y x))))>
3.585 * * * * [progress]: [ 8 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x))))) (- (* y x))))>
3.585 * * * * [progress]: [ 9 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (cbrt 1) (cbrt (log1p (exp x)))) (- (* y x))))>
3.585 * * * * [progress]: [ 10 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x))))) (- (* y x))))>
3.585 * * * * [progress]: [ 11 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))))) (- (* y x))))>
3.585 * * * * [progress]: [ 12 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x))))) (- (* y x))))>
3.586 * * * * [progress]: [ 13 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (* 1 (cbrt (log1p (exp x)))) (- (* y x))))>
3.586 * * * * [progress]: [ 14 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (posit16->real (real->posit16 (cbrt (log1p (exp x))))) (- (* y x))))>
3.586 * * * * [progress]: [ 15 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (log1p (expm1 (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 16 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (expm1 (log1p (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 17 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (pow (log1p (exp x)) 1/3)) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 18 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (pow (cbrt (log1p (exp x))) 1)) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 19 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (exp (log (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 20 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (log (exp (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 21 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (* (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 22 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 23 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (* (cbrt 1) (cbrt (log1p (exp x))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 24 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (* (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 25 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.586 * * * * [progress]: [ 26 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (* (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 27 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (* 1 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 28 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (posit16->real (real->posit16 (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 29 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (log1p (expm1 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 30 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (expm1 (log1p (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 31 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (pow (log1p (exp x)) 1/3) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 32 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (pow (cbrt (log1p (exp x))) 1) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 33 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (exp (log (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 34 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (log (exp (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 35 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (* (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 36 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (* (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 37 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (* (cbrt 1) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 38 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (* (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 39 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 40 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (* (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 41 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (* 1 (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 42 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (posit16->real (real->posit16 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.587 * * * * [progress]: [ 43 / 65 ] simplifiying candidate #<alt (λ (x y) (log1p (expm1 (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))))>
3.588 * * * * [progress]: [ 44 / 65 ] simplifiying candidate #<alt (λ (x y) (expm1 (log1p (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))))>
3.588 * * * * [progress]: [ 45 / 65 ] simplifiying candidate #<alt (λ (x y) (+ (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (- (* y x))))>
3.588 * * * * [progress]: [ 46 / 65 ] simplifiying candidate #<alt (λ (x y) (pow (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))) 1))>
3.588 * * * * [progress]: [ 47 / 65 ] simplifiying candidate #<alt (λ (x y) (exp (log (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))))>
3.588 * * * * [progress]: [ 48 / 65 ] simplifiying candidate #<alt (λ (x y) (log (exp (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))))>
3.588 * * * * [progress]: [ 49 / 65 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))) (cbrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))) (cbrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))))>
3.588 * * * * [progress]: [ 50 / 65 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))))>
3.588 * * * * [progress]: [ 51 / 65 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))) (sqrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))))>
3.588 * * * * [progress]: [ 52 / 65 ] simplifiying candidate #<alt (λ (x y) (* 1 (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))))>
3.588 * * * * [progress]: [ 53 / 65 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))))>
3.588 * * * * [progress]: [ 54 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2)))) (- (* y x))))>
3.588 * * * * [progress]: [ 55 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (pow (log (+ (exp x) 1)) 1/3) (- (* y x))))>
3.588 * * * * [progress]: [ 56 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (pow (log (+ (exp x) 1)) 1/3) (- (* y x))))>
3.588 * * * * [progress]: [ 57 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))) (cbrt (log1p (exp x))) (- (* y x))))>
3.588 * * * * [progress]: [ 58 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (pow (log (+ (exp x) 1)) 1/3)) (cbrt (log1p (exp x))) (- (* y x))))>
3.588 * * * * [progress]: [ 59 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (pow (log (+ (exp x) 1)) 1/3)) (cbrt (log1p (exp x))) (- (* y x))))>
3.589 * * * * [progress]: [ 60 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2)))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.589 * * * * [progress]: [ 61 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (pow (log (+ (exp x) 1)) 1/3) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.589 * * * * [progress]: [ 62 / 65 ] simplifiying candidate #<alt (λ (x y) (fma (* (pow (log (+ (exp x) 1)) 1/3) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
3.589 * * * * [progress]: [ 63 / 65 ] simplifiying candidate #<alt (λ (x y) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))>
3.589 * * * * [progress]: [ 64 / 65 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
3.589 * * * * [progress]: [ 65 / 65 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
3.590 * [simplify]: Simplifying:
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (log (cbrt (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt 1)
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (log1p (exp x))))
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (log (cbrt (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt 1)
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (log1p (exp x))))
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (log (cbrt (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt 1)
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (log1p (exp x))))
  (expm1 (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))
  (log1p (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))))
  (log (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))
  (exp (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))
  (* (cbrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))) (cbrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))))
  (cbrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))
  (* (* (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))
  (sqrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))
  (sqrt (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))
  (real->posit16 (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))
  (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
  (pow (log (+ (exp x) 1)) 1/3)
  (pow (log (+ (exp x) 1)) 1/3)
  (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
  (pow (log (+ (exp x) 1)) 1/3)
  (pow (log (+ (exp x) 1)) 1/3)
  (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
  (pow (log (+ (exp x) 1)) 1/3)
  (pow (log (+ (exp x) 1)) 1/3)
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (- (log (+ (exp x) 1)) (* x y))
  (- (log (+ (exp x) 1)) (* x y))
3.591 * * [simplify]: iteration 0: 68 enodes
3.618 * * [simplify]: iteration 1: 132 enodes
3.650 * * [simplify]: iteration 2: 413 enodes
3.974 * * [simplify]: iteration 3: 1947 enodes
4.960 * * [simplify]: iteration complete: 5001 enodes
4.960 * * [simplify]: Extracting #0: cost 25 inf + 0
4.962 * * [simplify]: Extracting #1: cost 328 inf + 1
4.973 * * [simplify]: Extracting #2: cost 804 inf + 4557
4.992 * * [simplify]: Extracting #3: cost 1031 inf + 42613
5.017 * * [simplify]: Extracting #4: cost 594 inf + 260428
5.050 * * [simplify]: Extracting #5: cost 430 inf + 338165
5.098 * * [simplify]: Extracting #6: cost 211 inf + 417885
5.170 * * [simplify]: Extracting #7: cost 59 inf + 499233
5.287 * * [simplify]: Extracting #8: cost 0 inf + 534130
5.395 * * [simplify]: Extracting #9: cost 0 inf + 534060
5.501 * [simplify]: Simplified to:
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (* 1/3 (log (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  1
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (log1p (exp x))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (log1p (exp x))))
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (* 1/3 (log (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  1
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (log1p (exp x))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (log1p (exp x))))
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (* 1/3 (log (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  1
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (log1p (exp x))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (log1p (exp x))))
  (expm1 (- (log1p (exp x)) (* x y)))
  (log1p (- (log1p (exp x)) (* x y)))
  (log1p (exp x))
  (log (- (log1p (exp x)) (* x y)))
  (/ (+ 1 (exp x)) (exp (* x y)))
  (* (cbrt (- (log1p (exp x)) (* x y))) (cbrt (- (log1p (exp x)) (* x y))))
  (cbrt (- (log1p (exp x)) (* x y)))
  (* (* (- (log1p (exp x)) (* x y)) (- (log1p (exp x)) (* x y))) (- (log1p (exp x)) (* x y)))
  (sqrt (- (log1p (exp x)) (* x y)))
  (sqrt (- (log1p (exp x)) (* x y)))
  (real->posit16 (- (log1p (exp x)) (* x y)))
  (fma (* x x) (fma (cbrt (/ 1 (* (log 2) (log 2)))) 1/24 (* -1/36 (cbrt (/ 1 (pow (log 2) 5))))) (fma (* x 1/6) (cbrt (/ 1 (* (log 2) (log 2)))) (cbrt (log 2))))
  (cbrt (log1p (exp x)))
  (cbrt (log1p (exp x)))
  (fma (* x x) (fma (cbrt (/ 1 (* (log 2) (log 2)))) 1/24 (* -1/36 (cbrt (/ 1 (pow (log 2) 5))))) (fma (* x 1/6) (cbrt (/ 1 (* (log 2) (log 2)))) (cbrt (log 2))))
  (cbrt (log1p (exp x)))
  (cbrt (log1p (exp x)))
  (fma (* x x) (fma (cbrt (/ 1 (* (log 2) (log 2)))) 1/24 (* -1/36 (cbrt (/ 1 (pow (log 2) 5))))) (fma (* x 1/6) (cbrt (/ 1 (* (log 2) (log 2)))) (cbrt (log 2))))
  (cbrt (log1p (exp x)))
  (cbrt (log1p (exp x)))
  (fma x (fma 1/8 x 1/2) (log 2))
  (- (log1p (exp x)) (* x y))
  (- (log1p (exp x)) (* x y))
5.505 * * * [progress]: adding candidates to table
5.860 * * [progress]: iteration 3 / 4
5.861 * * * [progress]: picking best candidate
5.867 * * * * [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))))))>
5.867 * * * [progress]: localizing error
5.903 * * * [progress]: generating rewritten candidates
5.903 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
6.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
6.356 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
6.368 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1)
6.371 * * * [progress]: generating series expansions
6.371 * * * * [progress]: [ 1 / 4 ] generating series at (2)
6.372 * [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)))))
6.372 * [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
6.372 * [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
6.372 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) in y
6.372 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 3) in y
6.372 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
6.372 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.372 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
6.372 * [taylor]: Taking taylor expansion of 1 in y
6.372 * [backup-simplify]: Simplify 1 into 1
6.372 * [taylor]: Taking taylor expansion of (exp x) in y
6.372 * [taylor]: Taking taylor expansion of x in y
6.373 * [backup-simplify]: Simplify x into x
6.373 * [backup-simplify]: Simplify (exp x) into (exp x)
6.373 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
6.373 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
6.373 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y
6.373 * [taylor]: Taking taylor expansion of (pow x 3) in y
6.373 * [taylor]: Taking taylor expansion of x in y
6.373 * [backup-simplify]: Simplify x into x
6.373 * [taylor]: Taking taylor expansion of (pow y 3) in y
6.373 * [taylor]: Taking taylor expansion of y in y
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.373 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in y
6.373 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
6.373 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
6.373 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.373 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
6.373 * [taylor]: Taking taylor expansion of 1 in y
6.373 * [backup-simplify]: Simplify 1 into 1
6.373 * [taylor]: Taking taylor expansion of (exp x) in y
6.373 * [taylor]: Taking taylor expansion of x in y
6.373 * [backup-simplify]: Simplify x into x
6.373 * [backup-simplify]: Simplify (exp x) into (exp x)
6.373 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
6.373 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
6.373 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in y
6.374 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
6.374 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.374 * [taylor]: Taking taylor expansion of x in y
6.374 * [backup-simplify]: Simplify x into x
6.374 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.374 * [taylor]: Taking taylor expansion of y in y
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 1 into 1
6.374 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in y
6.374 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
6.374 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.374 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
6.374 * [taylor]: Taking taylor expansion of 1 in y
6.374 * [backup-simplify]: Simplify 1 into 1
6.374 * [taylor]: Taking taylor expansion of (exp x) in y
6.374 * [taylor]: Taking taylor expansion of x in y
6.374 * [backup-simplify]: Simplify x into x
6.374 * [backup-simplify]: Simplify (exp x) into (exp x)
6.374 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
6.374 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
6.374 * [taylor]: Taking taylor expansion of (* x y) in y
6.374 * [taylor]: Taking taylor expansion of x in y
6.374 * [backup-simplify]: Simplify x into x
6.374 * [taylor]: Taking taylor expansion of y in y
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 1 into 1
6.374 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
6.375 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (pow (log (+ (exp x) 1)) 2)) into (pow (log (+ (exp x) 1)) 3)
6.375 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 3) 0) into (pow (log (+ (exp x) 1)) 3)
6.375 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
6.375 * [backup-simplify]: Simplify (* x 0) into 0
6.375 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) 0) into 0
6.376 * [backup-simplify]: Simplify (+ 0 0) into 0
6.376 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2)
6.376 * [backup-simplify]: Simplify (/ (pow (log (+ (exp x) 1)) 3) (pow (log (+ (exp x) 1)) 2)) into (log (+ (exp x) 1))
6.376 * [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
6.376 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) in x
6.376 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 3) in x
6.376 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.376 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.376 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.376 * [taylor]: Taking taylor expansion of 1 in x
6.376 * [backup-simplify]: Simplify 1 into 1
6.376 * [taylor]: Taking taylor expansion of (exp x) in x
6.376 * [taylor]: Taking taylor expansion of x in x
6.376 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify 1 into 1
6.376 * [backup-simplify]: Simplify (exp 0) into 1
6.376 * [backup-simplify]: Simplify (+ 1 1) into 2
6.377 * [backup-simplify]: Simplify (log 2) into (log 2)
6.377 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
6.377 * [taylor]: Taking taylor expansion of (pow x 3) in x
6.377 * [taylor]: Taking taylor expansion of x in x
6.377 * [backup-simplify]: Simplify 0 into 0
6.377 * [backup-simplify]: Simplify 1 into 1
6.377 * [taylor]: Taking taylor expansion of (pow y 3) in x
6.377 * [taylor]: Taking taylor expansion of y in x
6.377 * [backup-simplify]: Simplify y into y
6.377 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
6.377 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
6.377 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.377 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.377 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.377 * [taylor]: Taking taylor expansion of 1 in x
6.377 * [backup-simplify]: Simplify 1 into 1
6.377 * [taylor]: Taking taylor expansion of (exp x) in x
6.377 * [taylor]: Taking taylor expansion of x in x
6.377 * [backup-simplify]: Simplify 0 into 0
6.377 * [backup-simplify]: Simplify 1 into 1
6.377 * [backup-simplify]: Simplify (exp 0) into 1
6.377 * [backup-simplify]: Simplify (+ 1 1) into 2
6.377 * [backup-simplify]: Simplify (log 2) into (log 2)
6.377 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
6.377 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
6.378 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.378 * [taylor]: Taking taylor expansion of x in x
6.378 * [backup-simplify]: Simplify 0 into 0
6.378 * [backup-simplify]: Simplify 1 into 1
6.378 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.378 * [taylor]: Taking taylor expansion of y in x
6.378 * [backup-simplify]: Simplify y into y
6.378 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
6.378 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.378 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.378 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.378 * [taylor]: Taking taylor expansion of 1 in x
6.378 * [backup-simplify]: Simplify 1 into 1
6.378 * [taylor]: Taking taylor expansion of (exp x) in x
6.378 * [taylor]: Taking taylor expansion of x in x
6.378 * [backup-simplify]: Simplify 0 into 0
6.378 * [backup-simplify]: Simplify 1 into 1
6.378 * [backup-simplify]: Simplify (exp 0) into 1
6.378 * [backup-simplify]: Simplify (+ 1 1) into 2
6.378 * [backup-simplify]: Simplify (log 2) into (log 2)
6.378 * [taylor]: Taking taylor expansion of (* x y) in x
6.378 * [taylor]: Taking taylor expansion of x in x
6.378 * [backup-simplify]: Simplify 0 into 0
6.378 * [backup-simplify]: Simplify 1 into 1
6.378 * [taylor]: Taking taylor expansion of y in x
6.379 * [backup-simplify]: Simplify y into y
6.379 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
6.380 * [backup-simplify]: Simplify (* (log 2) (pow (log 2) 2)) into (pow (log 2) 3)
6.381 * [backup-simplify]: Simplify (+ (pow (log 2) 3) 0) into (pow (log 2) 3)
6.382 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
6.382 * [backup-simplify]: Simplify (* 0 y) into 0
6.382 * [backup-simplify]: Simplify (* (log 2) 0) into 0
6.383 * [backup-simplify]: Simplify (+ 0 0) into 0
6.383 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
6.385 * [backup-simplify]: Simplify (/ (pow (log 2) 3) (pow (log 2) 2)) into (log 2)
6.385 * [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
6.385 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) in x
6.385 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 3) in x
6.385 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.385 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.385 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.385 * [taylor]: Taking taylor expansion of 1 in x
6.385 * [backup-simplify]: Simplify 1 into 1
6.385 * [taylor]: Taking taylor expansion of (exp x) in x
6.385 * [taylor]: Taking taylor expansion of x in x
6.385 * [backup-simplify]: Simplify 0 into 0
6.385 * [backup-simplify]: Simplify 1 into 1
6.385 * [backup-simplify]: Simplify (exp 0) into 1
6.385 * [backup-simplify]: Simplify (+ 1 1) into 2
6.386 * [backup-simplify]: Simplify (log 2) into (log 2)
6.386 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
6.386 * [taylor]: Taking taylor expansion of (pow x 3) in x
6.386 * [taylor]: Taking taylor expansion of x in x
6.386 * [backup-simplify]: Simplify 0 into 0
6.386 * [backup-simplify]: Simplify 1 into 1
6.386 * [taylor]: Taking taylor expansion of (pow y 3) in x
6.386 * [taylor]: Taking taylor expansion of y in x
6.386 * [backup-simplify]: Simplify y into y
6.386 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
6.386 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
6.386 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.386 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.386 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.386 * [taylor]: Taking taylor expansion of 1 in x
6.386 * [backup-simplify]: Simplify 1 into 1
6.386 * [taylor]: Taking taylor expansion of (exp x) in x
6.386 * [taylor]: Taking taylor expansion of x in x
6.386 * [backup-simplify]: Simplify 0 into 0
6.386 * [backup-simplify]: Simplify 1 into 1
6.386 * [backup-simplify]: Simplify (exp 0) into 1
6.386 * [backup-simplify]: Simplify (+ 1 1) into 2
6.387 * [backup-simplify]: Simplify (log 2) into (log 2)
6.387 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
6.387 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
6.387 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.387 * [taylor]: Taking taylor expansion of x in x
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.387 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.387 * [taylor]: Taking taylor expansion of y in x
6.387 * [backup-simplify]: Simplify y into y
6.387 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
6.387 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.387 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.387 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.387 * [taylor]: Taking taylor expansion of 1 in x
6.387 * [backup-simplify]: Simplify 1 into 1
6.387 * [taylor]: Taking taylor expansion of (exp x) in x
6.387 * [taylor]: Taking taylor expansion of x in x
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.387 * [backup-simplify]: Simplify (exp 0) into 1
6.387 * [backup-simplify]: Simplify (+ 1 1) into 2
6.387 * [backup-simplify]: Simplify (log 2) into (log 2)
6.387 * [taylor]: Taking taylor expansion of (* x y) in x
6.387 * [taylor]: Taking taylor expansion of x in x
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.388 * [taylor]: Taking taylor expansion of y in x
6.388 * [backup-simplify]: Simplify y into y
6.388 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
6.389 * [backup-simplify]: Simplify (* (log 2) (pow (log 2) 2)) into (pow (log 2) 3)
6.390 * [backup-simplify]: Simplify (+ (pow (log 2) 3) 0) into (pow (log 2) 3)
6.391 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
6.391 * [backup-simplify]: Simplify (* 0 y) into 0
6.391 * [backup-simplify]: Simplify (* (log 2) 0) into 0
6.392 * [backup-simplify]: Simplify (+ 0 0) into 0
6.392 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
6.394 * [backup-simplify]: Simplify (/ (pow (log 2) 3) (pow (log 2) 2)) into (log 2)
6.394 * [taylor]: Taking taylor expansion of (log 2) in y
6.394 * [taylor]: Taking taylor expansion of 2 in y
6.394 * [backup-simplify]: Simplify 2 into 2
6.394 * [backup-simplify]: Simplify (log 2) into (log 2)
6.395 * [backup-simplify]: Simplify (log 2) into (log 2)
6.395 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
6.395 * [backup-simplify]: Simplify (+ 0 1) into 1
6.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
6.400 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
6.402 * [backup-simplify]: Simplify (+ (* (log 2) (log 2)) (* 1/2 (pow (log 2) 2))) into (* 3/2 (pow (log 2) 2))
6.403 * [backup-simplify]: Simplify (+ (* 3/2 (pow (log 2) 2)) 0) into (* 3/2 (pow (log 2) 2))
6.404 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
6.404 * [backup-simplify]: Simplify (+ 0 1) into 1
6.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
6.406 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
6.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
6.408 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
6.408 * [backup-simplify]: Simplify (+ 0 1) into 1
6.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
6.410 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
6.411 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
6.412 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
6.417 * [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)
6.417 * [taylor]: Taking taylor expansion of (- 1/2 y) in y
6.417 * [taylor]: Taking taylor expansion of 1/2 in y
6.417 * [backup-simplify]: Simplify 1/2 into 1/2
6.417 * [taylor]: Taking taylor expansion of y in y
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 1 into 1
6.417 * [backup-simplify]: Simplify (- 0) into 0
6.418 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.418 * [backup-simplify]: Simplify 1/2 into 1/2
6.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
6.420 * [backup-simplify]: Simplify 0 into 0
6.421 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
6.422 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
6.425 * [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
6.429 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
6.438 * [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)))
6.442 * [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)))
6.443 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
6.444 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
6.445 * [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
6.448 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
6.448 * [backup-simplify]: Simplify (* 1 1) into 1
6.448 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.448 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
6.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
6.450 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
6.450 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
6.451 * [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
6.452 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 1/2 y) (* 1/8 0))) into (* 1/2 y)
6.452 * [backup-simplify]: Simplify (+ (pow y 2) (* 1/2 y)) into (+ (pow y 2) (* 1/2 y))
6.453 * [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)))
6.459 * [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
6.459 * [taylor]: Taking taylor expansion of 1/8 in y
6.459 * [backup-simplify]: Simplify 1/8 into 1/8
6.459 * [backup-simplify]: Simplify 1/8 into 1/8
6.459 * [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))))
6.460 * [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))))
6.460 * [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
6.460 * [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
6.460 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in y
6.460 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 3) in y
6.460 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
6.460 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.460 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
6.460 * [taylor]: Taking taylor expansion of 1 in y
6.460 * [backup-simplify]: Simplify 1 into 1
6.460 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
6.460 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.460 * [taylor]: Taking taylor expansion of x in y
6.460 * [backup-simplify]: Simplify x into x
6.460 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.460 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.460 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.460 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.460 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y
6.460 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y
6.460 * [taylor]: Taking taylor expansion of (pow x 3) in y
6.460 * [taylor]: Taking taylor expansion of x in y
6.460 * [backup-simplify]: Simplify x into x
6.460 * [taylor]: Taking taylor expansion of (pow y 3) in y
6.460 * [taylor]: Taking taylor expansion of y in y
6.460 * [backup-simplify]: Simplify 0 into 0
6.460 * [backup-simplify]: Simplify 1 into 1
6.461 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.461 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
6.461 * [backup-simplify]: Simplify (* 1 1) into 1
6.461 * [backup-simplify]: Simplify (* 1 1) into 1
6.461 * [backup-simplify]: Simplify (* (pow x 3) 1) into (pow x 3)
6.461 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3))
6.461 * [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
6.461 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
6.461 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
6.461 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.461 * [taylor]: Taking taylor expansion of x in y
6.461 * [backup-simplify]: Simplify x into x
6.461 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.461 * [taylor]: Taking taylor expansion of y in y
6.461 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify 1 into 1
6.461 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.462 * [backup-simplify]: Simplify (* 1 1) into 1
6.462 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
6.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.462 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in y
6.462 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in y
6.462 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
6.462 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.462 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
6.462 * [taylor]: Taking taylor expansion of 1 in y
6.462 * [backup-simplify]: Simplify 1 into 1
6.462 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
6.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.462 * [taylor]: Taking taylor expansion of x in y
6.462 * [backup-simplify]: Simplify x into x
6.462 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.462 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.462 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.462 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.462 * [taylor]: Taking taylor expansion of (* x y) in y
6.462 * [taylor]: Taking taylor expansion of x in y
6.462 * [backup-simplify]: Simplify x into x
6.462 * [taylor]: Taking taylor expansion of y in y
6.462 * [backup-simplify]: Simplify 0 into 0
6.462 * [backup-simplify]: Simplify 1 into 1
6.462 * [backup-simplify]: Simplify (* x 0) into 0
6.462 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
6.463 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) x) into (/ (log (+ (exp (/ 1 x)) 1)) x)
6.463 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
6.463 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
6.463 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.463 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
6.463 * [taylor]: Taking taylor expansion of 1 in y
6.463 * [backup-simplify]: Simplify 1 into 1
6.463 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
6.463 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.463 * [taylor]: Taking taylor expansion of x in y
6.463 * [backup-simplify]: Simplify x into x
6.463 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.463 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.463 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.463 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.463 * [backup-simplify]: Simplify (- (/ 1 (pow x 3))) into (- (/ 1 (pow x 3)))
6.463 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 3)))) into (- (/ 1 (pow x 3)))
6.463 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
6.463 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 3))) (/ 1 (pow x 2))) into (/ -1 x)
6.463 * [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
6.463 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
6.463 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 3) in x
6.463 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.463 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.463 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.463 * [taylor]: Taking taylor expansion of 1 in x
6.463 * [backup-simplify]: Simplify 1 into 1
6.463 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.463 * [taylor]: Taking taylor expansion of x in x
6.464 * [backup-simplify]: Simplify 0 into 0
6.464 * [backup-simplify]: Simplify 1 into 1
6.464 * [backup-simplify]: Simplify (/ 1 1) into 1
6.464 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.464 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.464 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.464 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
6.464 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
6.464 * [taylor]: Taking taylor expansion of (pow x 3) in x
6.464 * [taylor]: Taking taylor expansion of x in x
6.464 * [backup-simplify]: Simplify 0 into 0
6.464 * [backup-simplify]: Simplify 1 into 1
6.464 * [taylor]: Taking taylor expansion of (pow y 3) in x
6.464 * [taylor]: Taking taylor expansion of y in x
6.464 * [backup-simplify]: Simplify y into y
6.464 * [backup-simplify]: Simplify (* 1 1) into 1
6.465 * [backup-simplify]: Simplify (* 1 1) into 1
6.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.465 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
6.465 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
6.465 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
6.465 * [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
6.465 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
6.465 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
6.465 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.465 * [taylor]: Taking taylor expansion of x in x
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [backup-simplify]: Simplify 1 into 1
6.465 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.465 * [taylor]: Taking taylor expansion of y in x
6.465 * [backup-simplify]: Simplify y into y
6.465 * [backup-simplify]: Simplify (* 1 1) into 1
6.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.465 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
6.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.465 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
6.465 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
6.465 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.465 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.465 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.465 * [taylor]: Taking taylor expansion of 1 in x
6.465 * [backup-simplify]: Simplify 1 into 1
6.465 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.466 * [taylor]: Taking taylor expansion of x in x
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify 1 into 1
6.466 * [backup-simplify]: Simplify (/ 1 1) into 1
6.466 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.466 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.466 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.466 * [taylor]: Taking taylor expansion of (* x y) in x
6.466 * [taylor]: Taking taylor expansion of x in x
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify 1 into 1
6.466 * [taylor]: Taking taylor expansion of y in x
6.466 * [backup-simplify]: Simplify y into y
6.466 * [backup-simplify]: Simplify (* 0 y) into 0
6.466 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
6.466 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
6.466 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
6.466 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.467 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.467 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.467 * [taylor]: Taking taylor expansion of 1 in x
6.467 * [backup-simplify]: Simplify 1 into 1
6.467 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.467 * [taylor]: Taking taylor expansion of x in x
6.467 * [backup-simplify]: Simplify 0 into 0
6.467 * [backup-simplify]: Simplify 1 into 1
6.467 * [backup-simplify]: Simplify (/ 1 1) into 1
6.467 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.467 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.467 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.467 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
6.467 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
6.467 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.467 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
6.467 * [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
6.467 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
6.467 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 3) in x
6.467 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.468 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.468 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.468 * [taylor]: Taking taylor expansion of 1 in x
6.468 * [backup-simplify]: Simplify 1 into 1
6.468 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.468 * [taylor]: Taking taylor expansion of x in x
6.468 * [backup-simplify]: Simplify 0 into 0
6.468 * [backup-simplify]: Simplify 1 into 1
6.468 * [backup-simplify]: Simplify (/ 1 1) into 1
6.468 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.468 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.468 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.468 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
6.468 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
6.468 * [taylor]: Taking taylor expansion of (pow x 3) in x
6.468 * [taylor]: Taking taylor expansion of x in x
6.468 * [backup-simplify]: Simplify 0 into 0
6.468 * [backup-simplify]: Simplify 1 into 1
6.468 * [taylor]: Taking taylor expansion of (pow y 3) in x
6.468 * [taylor]: Taking taylor expansion of y in x
6.468 * [backup-simplify]: Simplify y into y
6.468 * [backup-simplify]: Simplify (* 1 1) into 1
6.469 * [backup-simplify]: Simplify (* 1 1) into 1
6.469 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.469 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
6.469 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
6.469 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
6.469 * [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
6.469 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
6.469 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
6.469 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.469 * [taylor]: Taking taylor expansion of x in x
6.469 * [backup-simplify]: Simplify 0 into 0
6.469 * [backup-simplify]: Simplify 1 into 1
6.469 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.469 * [taylor]: Taking taylor expansion of y in x
6.469 * [backup-simplify]: Simplify y into y
6.469 * [backup-simplify]: Simplify (* 1 1) into 1
6.469 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.469 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
6.470 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.470 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
6.470 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
6.470 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.470 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.470 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.470 * [taylor]: Taking taylor expansion of 1 in x
6.470 * [backup-simplify]: Simplify 1 into 1
6.470 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.470 * [taylor]: Taking taylor expansion of x in x
6.470 * [backup-simplify]: Simplify 0 into 0
6.470 * [backup-simplify]: Simplify 1 into 1
6.470 * [backup-simplify]: Simplify (/ 1 1) into 1
6.470 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.470 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.470 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.470 * [taylor]: Taking taylor expansion of (* x y) in x
6.470 * [taylor]: Taking taylor expansion of x in x
6.470 * [backup-simplify]: Simplify 0 into 0
6.470 * [backup-simplify]: Simplify 1 into 1
6.470 * [taylor]: Taking taylor expansion of y in x
6.470 * [backup-simplify]: Simplify y into y
6.470 * [backup-simplify]: Simplify (* 0 y) into 0
6.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
6.471 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
6.471 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
6.471 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.471 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.471 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.471 * [taylor]: Taking taylor expansion of 1 in x
6.471 * [backup-simplify]: Simplify 1 into 1
6.471 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.471 * [taylor]: Taking taylor expansion of x in x
6.471 * [backup-simplify]: Simplify 0 into 0
6.471 * [backup-simplify]: Simplify 1 into 1
6.471 * [backup-simplify]: Simplify (/ 1 1) into 1
6.471 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.472 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.472 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.472 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
6.472 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
6.472 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.472 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
6.472 * [taylor]: Taking taylor expansion of (/ -1 y) in y
6.472 * [taylor]: Taking taylor expansion of -1 in y
6.472 * [backup-simplify]: Simplify -1 into -1
6.472 * [taylor]: Taking taylor expansion of y in y
6.472 * [backup-simplify]: Simplify 0 into 0
6.472 * [backup-simplify]: Simplify 1 into 1
6.473 * [backup-simplify]: Simplify (/ -1 1) into -1
6.473 * [backup-simplify]: Simplify -1 into -1
6.473 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.473 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0
6.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 3))) into 0
6.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))))) into 0
6.475 * [backup-simplify]: Simplify (- 0) into 0
6.476 * [backup-simplify]: Simplify (+ 0 0) into 0
6.476 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
6.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.477 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
6.477 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
6.478 * [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))
6.478 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
6.478 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
6.478 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
6.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.478 * [taylor]: Taking taylor expansion of x in y
6.478 * [backup-simplify]: Simplify x into x
6.478 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.478 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.478 * [taylor]: Taking taylor expansion of 1 in y
6.478 * [backup-simplify]: Simplify 1 into 1
6.478 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
6.478 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.479 * [backup-simplify]: Simplify 0 into 0
6.480 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.480 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 3)))) into 0
6.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
6.483 * [backup-simplify]: Simplify (- 0) into 0
6.483 * [backup-simplify]: Simplify (+ 0 0) into 0
6.484 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
6.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
6.486 * [backup-simplify]: Simplify (+ 0 0) into 0
6.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
6.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
6.488 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)))) into 0
6.488 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
6.488 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
6.489 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
6.489 * [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
6.489 * [taylor]: Taking taylor expansion of 0 in y
6.489 * [backup-simplify]: Simplify 0 into 0
6.489 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.490 * [backup-simplify]: Simplify 0 into 0
6.490 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
6.491 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 3)
6.491 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.492 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
6.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3))))) into 0
6.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
6.497 * [backup-simplify]: Simplify (- 0) into 0
6.497 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ 1 x)) 1)) 3) 0) into (pow (log (+ (exp (/ 1 x)) 1)) 3)
6.498 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
6.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
6.502 * [backup-simplify]: Simplify (+ 0 0) into 0
6.503 * [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
6.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
6.505 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.505 * [backup-simplify]: Simplify (+ 0 0) into 0
6.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
6.506 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
6.507 * [backup-simplify]: Simplify (+ 0 0) into 0
6.507 * [backup-simplify]: Simplify (+ 0 0) into 0
6.508 * [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
6.508 * [taylor]: Taking taylor expansion of 0 in y
6.508 * [backup-simplify]: Simplify 0 into 0
6.508 * [backup-simplify]: Simplify 0 into 0
6.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
6.508 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
6.508 * [backup-simplify]: Simplify (+ 0 0) into 0
6.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
6.509 * [backup-simplify]: Simplify 0 into 0
6.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.510 * [backup-simplify]: Simplify 0 into 0
6.510 * [backup-simplify]: Simplify (+ 0 0) into 0
6.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
6.510 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
6.511 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into 0
6.513 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
6.513 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
6.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3)))))) into 0
6.516 * [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
6.516 * [backup-simplify]: Simplify (- 0) into 0
6.516 * [backup-simplify]: Simplify (+ 0 0) into 0
6.517 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
6.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
6.519 * [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
6.519 * [backup-simplify]: Simplify (+ 0 0) into 0
6.521 * [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
6.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
6.522 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.522 * [backup-simplify]: Simplify (+ 0 0) into 0
6.523 * [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
6.524 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
6.524 * [backup-simplify]: Simplify (+ 0 0) into 0
6.524 * [backup-simplify]: Simplify (+ 0 0) into 0
6.525 * [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
6.525 * [taylor]: Taking taylor expansion of 0 in y
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify 0 into 0
6.525 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y))
6.526 * [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)))))
6.526 * [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
6.526 * [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
6.526 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in y
6.526 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 3) in y
6.526 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
6.526 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.526 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
6.526 * [taylor]: Taking taylor expansion of 1 in y
6.526 * [backup-simplify]: Simplify 1 into 1
6.526 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
6.526 * [taylor]: Taking taylor expansion of (/ -1 x) in y
6.526 * [taylor]: Taking taylor expansion of -1 in y
6.526 * [backup-simplify]: Simplify -1 into -1
6.526 * [taylor]: Taking taylor expansion of x in y
6.526 * [backup-simplify]: Simplify x into x
6.526 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.526 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.526 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.526 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.526 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y
6.526 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y
6.526 * [taylor]: Taking taylor expansion of (pow x 3) in y
6.526 * [taylor]: Taking taylor expansion of x in y
6.526 * [backup-simplify]: Simplify x into x
6.526 * [taylor]: Taking taylor expansion of (pow y 3) in y
6.526 * [taylor]: Taking taylor expansion of y in y
6.526 * [backup-simplify]: Simplify 0 into 0
6.526 * [backup-simplify]: Simplify 1 into 1
6.527 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.527 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
6.527 * [backup-simplify]: Simplify (* 1 1) into 1
6.527 * [backup-simplify]: Simplify (* 1 1) into 1
6.527 * [backup-simplify]: Simplify (* (pow x 3) 1) into (pow x 3)
6.527 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3))
6.527 * [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
6.527 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
6.527 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
6.527 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.527 * [taylor]: Taking taylor expansion of x in y
6.527 * [backup-simplify]: Simplify x into x
6.528 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.528 * [taylor]: Taking taylor expansion of y in y
6.528 * [backup-simplify]: Simplify 0 into 0
6.528 * [backup-simplify]: Simplify 1 into 1
6.528 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.528 * [backup-simplify]: Simplify (* 1 1) into 1
6.528 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
6.528 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.528 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in y
6.528 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
6.528 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
6.528 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.528 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
6.528 * [taylor]: Taking taylor expansion of 1 in y
6.528 * [backup-simplify]: Simplify 1 into 1
6.528 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
6.528 * [taylor]: Taking taylor expansion of (/ -1 x) in y
6.528 * [taylor]: Taking taylor expansion of -1 in y
6.528 * [backup-simplify]: Simplify -1 into -1
6.528 * [taylor]: Taking taylor expansion of x in y
6.528 * [backup-simplify]: Simplify x into x
6.528 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.528 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.528 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.529 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.529 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in y
6.529 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
6.529 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.529 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
6.529 * [taylor]: Taking taylor expansion of 1 in y
6.529 * [backup-simplify]: Simplify 1 into 1
6.529 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
6.529 * [taylor]: Taking taylor expansion of (/ -1 x) in y
6.529 * [taylor]: Taking taylor expansion of -1 in y
6.529 * [backup-simplify]: Simplify -1 into -1
6.529 * [taylor]: Taking taylor expansion of x in y
6.529 * [backup-simplify]: Simplify x into x
6.529 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.529 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.529 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.529 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.529 * [taylor]: Taking taylor expansion of (* x y) in y
6.529 * [taylor]: Taking taylor expansion of x in y
6.529 * [backup-simplify]: Simplify x into x
6.529 * [taylor]: Taking taylor expansion of y in y
6.529 * [backup-simplify]: Simplify 0 into 0
6.529 * [backup-simplify]: Simplify 1 into 1
6.529 * [backup-simplify]: Simplify (* x 0) into 0
6.529 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
6.529 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) x) into (/ (log (+ (exp (/ -1 x)) 1)) x)
6.529 * [backup-simplify]: Simplify (- (/ 1 (pow x 3))) into (- (/ 1 (pow x 3)))
6.530 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 3)))) into (- (/ 1 (pow x 3)))
6.530 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
6.530 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 3))) (/ 1 (pow x 2))) into (/ -1 x)
6.530 * [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
6.530 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
6.530 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 3) in x
6.530 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.530 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.530 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.530 * [taylor]: Taking taylor expansion of 1 in x
6.530 * [backup-simplify]: Simplify 1 into 1
6.530 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.530 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.530 * [taylor]: Taking taylor expansion of -1 in x
6.530 * [backup-simplify]: Simplify -1 into -1
6.530 * [taylor]: Taking taylor expansion of x in x
6.530 * [backup-simplify]: Simplify 0 into 0
6.530 * [backup-simplify]: Simplify 1 into 1
6.530 * [backup-simplify]: Simplify (/ -1 1) into -1
6.530 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.530 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.530 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.530 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
6.530 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
6.530 * [taylor]: Taking taylor expansion of (pow x 3) in x
6.530 * [taylor]: Taking taylor expansion of x in x
6.531 * [backup-simplify]: Simplify 0 into 0
6.531 * [backup-simplify]: Simplify 1 into 1
6.531 * [taylor]: Taking taylor expansion of (pow y 3) in x
6.531 * [taylor]: Taking taylor expansion of y in x
6.531 * [backup-simplify]: Simplify y into y
6.531 * [backup-simplify]: Simplify (* 1 1) into 1
6.531 * [backup-simplify]: Simplify (* 1 1) into 1
6.531 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.531 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
6.531 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
6.531 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
6.531 * [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
6.531 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
6.531 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
6.531 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.531 * [taylor]: Taking taylor expansion of x in x
6.531 * [backup-simplify]: Simplify 0 into 0
6.531 * [backup-simplify]: Simplify 1 into 1
6.531 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.531 * [taylor]: Taking taylor expansion of y in x
6.531 * [backup-simplify]: Simplify y into y
6.532 * [backup-simplify]: Simplify (* 1 1) into 1
6.532 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.532 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
6.532 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.532 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
6.532 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
6.532 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.532 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.532 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.532 * [taylor]: Taking taylor expansion of 1 in x
6.532 * [backup-simplify]: Simplify 1 into 1
6.532 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.532 * [taylor]: Taking taylor expansion of -1 in x
6.532 * [backup-simplify]: Simplify -1 into -1
6.532 * [taylor]: Taking taylor expansion of x in x
6.532 * [backup-simplify]: Simplify 0 into 0
6.532 * [backup-simplify]: Simplify 1 into 1
6.532 * [backup-simplify]: Simplify (/ -1 1) into -1
6.532 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.533 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.533 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.533 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
6.533 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.533 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.533 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.533 * [taylor]: Taking taylor expansion of 1 in x
6.533 * [backup-simplify]: Simplify 1 into 1
6.533 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.533 * [taylor]: Taking taylor expansion of -1 in x
6.533 * [backup-simplify]: Simplify -1 into -1
6.533 * [taylor]: Taking taylor expansion of x in x
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify 1 into 1
6.533 * [backup-simplify]: Simplify (/ -1 1) into -1
6.533 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.533 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.533 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.533 * [taylor]: Taking taylor expansion of (* x y) in x
6.533 * [taylor]: Taking taylor expansion of x in x
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify 1 into 1
6.533 * [taylor]: Taking taylor expansion of y in x
6.533 * [backup-simplify]: Simplify y into y
6.533 * [backup-simplify]: Simplify (* 0 y) into 0
6.534 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
6.534 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
6.534 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
6.534 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
6.534 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.534 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
6.534 * [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
6.534 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
6.534 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 3) in x
6.534 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.534 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.534 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.534 * [taylor]: Taking taylor expansion of 1 in x
6.534 * [backup-simplify]: Simplify 1 into 1
6.534 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.534 * [taylor]: Taking taylor expansion of -1 in x
6.534 * [backup-simplify]: Simplify -1 into -1
6.534 * [taylor]: Taking taylor expansion of x in x
6.534 * [backup-simplify]: Simplify 0 into 0
6.534 * [backup-simplify]: Simplify 1 into 1
6.535 * [backup-simplify]: Simplify (/ -1 1) into -1
6.535 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.535 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.535 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.535 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
6.535 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
6.535 * [taylor]: Taking taylor expansion of (pow x 3) in x
6.535 * [taylor]: Taking taylor expansion of x in x
6.535 * [backup-simplify]: Simplify 0 into 0
6.535 * [backup-simplify]: Simplify 1 into 1
6.535 * [taylor]: Taking taylor expansion of (pow y 3) in x
6.535 * [taylor]: Taking taylor expansion of y in x
6.535 * [backup-simplify]: Simplify y into y
6.536 * [backup-simplify]: Simplify (* 1 1) into 1
6.536 * [backup-simplify]: Simplify (* 1 1) into 1
6.536 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.536 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
6.536 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
6.536 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
6.536 * [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
6.536 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
6.536 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
6.536 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.536 * [taylor]: Taking taylor expansion of x in x
6.536 * [backup-simplify]: Simplify 0 into 0
6.537 * [backup-simplify]: Simplify 1 into 1
6.537 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.537 * [taylor]: Taking taylor expansion of y in x
6.537 * [backup-simplify]: Simplify y into y
6.537 * [backup-simplify]: Simplify (* 1 1) into 1
6.537 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.537 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
6.537 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.537 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
6.537 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
6.537 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.537 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.537 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.537 * [taylor]: Taking taylor expansion of 1 in x
6.537 * [backup-simplify]: Simplify 1 into 1
6.537 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.538 * [taylor]: Taking taylor expansion of -1 in x
6.538 * [backup-simplify]: Simplify -1 into -1
6.538 * [taylor]: Taking taylor expansion of x in x
6.538 * [backup-simplify]: Simplify 0 into 0
6.538 * [backup-simplify]: Simplify 1 into 1
6.538 * [backup-simplify]: Simplify (/ -1 1) into -1
6.538 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.538 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.538 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.538 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
6.538 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.538 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.539 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.539 * [taylor]: Taking taylor expansion of 1 in x
6.539 * [backup-simplify]: Simplify 1 into 1
6.539 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.539 * [taylor]: Taking taylor expansion of -1 in x
6.539 * [backup-simplify]: Simplify -1 into -1
6.539 * [taylor]: Taking taylor expansion of x in x
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [backup-simplify]: Simplify 1 into 1
6.539 * [backup-simplify]: Simplify (/ -1 1) into -1
6.539 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.539 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.539 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.540 * [taylor]: Taking taylor expansion of (* x y) in x
6.540 * [taylor]: Taking taylor expansion of x in x
6.540 * [backup-simplify]: Simplify 0 into 0
6.540 * [backup-simplify]: Simplify 1 into 1
6.540 * [taylor]: Taking taylor expansion of y in x
6.540 * [backup-simplify]: Simplify y into y
6.540 * [backup-simplify]: Simplify (* 0 y) into 0
6.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
6.540 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
6.540 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
6.540 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
6.541 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
6.541 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
6.541 * [taylor]: Taking taylor expansion of (/ -1 y) in y
6.541 * [taylor]: Taking taylor expansion of -1 in y
6.541 * [backup-simplify]: Simplify -1 into -1
6.541 * [taylor]: Taking taylor expansion of y in y
6.541 * [backup-simplify]: Simplify 0 into 0
6.541 * [backup-simplify]: Simplify 1 into 1
6.541 * [backup-simplify]: Simplify (/ -1 1) into -1
6.542 * [backup-simplify]: Simplify -1 into -1
6.542 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.542 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0
6.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 3))) into 0
6.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))))) into 0
6.544 * [backup-simplify]: Simplify (- 0) into 0
6.545 * [backup-simplify]: Simplify (+ 0 0) into 0
6.545 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
6.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.546 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
6.546 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
6.547 * [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))
6.547 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
6.547 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
6.547 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
6.547 * [taylor]: Taking taylor expansion of (/ -1 x) in y
6.547 * [taylor]: Taking taylor expansion of -1 in y
6.547 * [backup-simplify]: Simplify -1 into -1
6.547 * [taylor]: Taking taylor expansion of x in y
6.547 * [backup-simplify]: Simplify x into x
6.547 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.547 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.547 * [taylor]: Taking taylor expansion of 1 in y
6.547 * [backup-simplify]: Simplify 1 into 1
6.547 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
6.547 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.548 * [backup-simplify]: Simplify 0 into 0
6.549 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.549 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
6.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 3)))) into 0
6.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
6.552 * [backup-simplify]: Simplify (- 0) into 0
6.553 * [backup-simplify]: Simplify (+ 0 0) into 0
6.553 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
6.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
6.555 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
6.556 * [backup-simplify]: Simplify (+ 0 0) into 0
6.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
6.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
6.557 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)))) into 0
6.558 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
6.558 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
6.558 * [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
6.559 * [taylor]: Taking taylor expansion of 0 in y
6.559 * [backup-simplify]: Simplify 0 into 0
6.559 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.560 * [backup-simplify]: Simplify 0 into 0
6.560 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
6.561 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 3)
6.561 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.562 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
6.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3))))) into 0
6.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
6.566 * [backup-simplify]: Simplify (- 0) into 0
6.566 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 3) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 3)
6.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
6.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
6.570 * [backup-simplify]: Simplify (+ 0 0) into 0
6.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
6.571 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
6.571 * [backup-simplify]: Simplify (+ 0 0) into 0
6.572 * [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
6.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
6.573 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.573 * [backup-simplify]: Simplify (+ 0 0) into 0
6.573 * [backup-simplify]: Simplify (+ 0 0) into 0
6.574 * [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
6.574 * [taylor]: Taking taylor expansion of 0 in y
6.574 * [backup-simplify]: Simplify 0 into 0
6.574 * [backup-simplify]: Simplify 0 into 0
6.574 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
6.575 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
6.575 * [backup-simplify]: Simplify (+ 0 0) into 0
6.575 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
6.575 * [backup-simplify]: Simplify 0 into 0
6.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.576 * [backup-simplify]: Simplify 0 into 0
6.576 * [backup-simplify]: Simplify (+ 0 0) into 0
6.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
6.577 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
6.577 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (pow (log (+ (exp (/ -1 x)) 1)) 2))) into 0
6.578 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
6.578 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
6.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3)))))) into 0
6.581 * [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
6.581 * [backup-simplify]: Simplify (- 0) into 0
6.581 * [backup-simplify]: Simplify (+ 0 0) into 0
6.582 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
6.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
6.584 * [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
6.584 * [backup-simplify]: Simplify (+ 0 0) into 0
6.585 * [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
6.586 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
6.586 * [backup-simplify]: Simplify (+ 0 0) into 0
6.588 * [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
6.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
6.589 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.589 * [backup-simplify]: Simplify (+ 0 0) into 0
6.589 * [backup-simplify]: Simplify (+ 0 0) into 0
6.590 * [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
6.590 * [taylor]: Taking taylor expansion of 0 in y
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y))
6.590 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
6.590 * [backup-simplify]: Simplify (* (log1p (exp x)) (log1p (exp x))) into (pow (log1p (exp x)) 2)
6.590 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 2) in (x) around 0
6.590 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
6.590 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.590 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.590 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.590 * [taylor]: Taking taylor expansion of 1 in x
6.590 * [backup-simplify]: Simplify 1 into 1
6.590 * [taylor]: Taking taylor expansion of (exp x) in x
6.590 * [taylor]: Taking taylor expansion of x in x
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify 1 into 1
6.590 * [backup-simplify]: Simplify (exp 0) into 1
6.591 * [backup-simplify]: Simplify (+ 1 1) into 2
6.591 * [backup-simplify]: Simplify (log 2) into (log 2)
6.591 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
6.591 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.591 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.591 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.591 * [taylor]: Taking taylor expansion of 1 in x
6.591 * [backup-simplify]: Simplify 1 into 1
6.591 * [taylor]: Taking taylor expansion of (exp x) in x
6.591 * [taylor]: Taking taylor expansion of x in x
6.591 * [backup-simplify]: Simplify 0 into 0
6.591 * [backup-simplify]: Simplify 1 into 1
6.591 * [backup-simplify]: Simplify (exp 0) into 1
6.591 * [backup-simplify]: Simplify (+ 1 1) into 2
6.591 * [backup-simplify]: Simplify (log 2) into (log 2)
6.592 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
6.593 * [backup-simplify]: Simplify (pow (log 2) 2) into (pow (log 2) 2)
6.593 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
6.594 * [backup-simplify]: Simplify (+ 0 1) into 1
6.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
6.596 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
6.596 * [backup-simplify]: Simplify (log 2) into (log 2)
6.597 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
6.597 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
6.599 * [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
6.601 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
6.602 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4)
6.605 * [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))))
6.605 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 2)
6.605 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in (x) around 0
6.605 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
6.605 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.606 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.606 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.606 * [taylor]: Taking taylor expansion of 1 in x
6.606 * [backup-simplify]: Simplify 1 into 1
6.606 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.606 * [taylor]: Taking taylor expansion of x in x
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [backup-simplify]: Simplify 1 into 1
6.606 * [backup-simplify]: Simplify (/ 1 1) into 1
6.606 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.606 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.607 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.607 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
6.607 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.607 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.607 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.607 * [taylor]: Taking taylor expansion of 1 in x
6.607 * [backup-simplify]: Simplify 1 into 1
6.607 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.607 * [taylor]: Taking taylor expansion of x in x
6.607 * [backup-simplify]: Simplify 0 into 0
6.607 * [backup-simplify]: Simplify 1 into 1
6.607 * [backup-simplify]: Simplify (/ 1 1) into 1
6.607 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.607 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.608 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.608 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
6.608 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 2) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
6.608 * [backup-simplify]: Simplify (+ 0 0) into 0
6.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
6.610 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
6.610 * [backup-simplify]: Simplify 0 into 0
6.610 * [backup-simplify]: Simplify (+ 0 0) into 0
6.612 * [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
6.613 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
6.613 * [backup-simplify]: Simplify 0 into 0
6.613 * [backup-simplify]: Simplify (+ 0 0) into 0
6.616 * [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
6.617 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0
6.617 * [backup-simplify]: Simplify 0 into 0
6.618 * [backup-simplify]: Simplify (+ 0 0) into 0
6.623 * [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
6.624 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0
6.624 * [backup-simplify]: Simplify 0 into 0
6.624 * [backup-simplify]: Simplify (+ 0 0) into 0
6.629 * [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
6.631 * [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
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify (+ 0 0) into 0
6.638 * [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
6.639 * [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
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
6.640 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 2)
6.640 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in (x) around 0
6.640 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
6.640 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.640 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.640 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.640 * [taylor]: Taking taylor expansion of 1 in x
6.640 * [backup-simplify]: Simplify 1 into 1
6.640 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.640 * [taylor]: Taking taylor expansion of -1 in x
6.640 * [backup-simplify]: Simplify -1 into -1
6.640 * [taylor]: Taking taylor expansion of x in x
6.640 * [backup-simplify]: Simplify 0 into 0
6.640 * [backup-simplify]: Simplify 1 into 1
6.640 * [backup-simplify]: Simplify (/ -1 1) into -1
6.640 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.640 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.640 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.640 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
6.640 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.640 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.640 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.641 * [taylor]: Taking taylor expansion of 1 in x
6.641 * [backup-simplify]: Simplify 1 into 1
6.641 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.641 * [taylor]: Taking taylor expansion of -1 in x
6.641 * [backup-simplify]: Simplify -1 into -1
6.641 * [taylor]: Taking taylor expansion of x in x
6.641 * [backup-simplify]: Simplify 0 into 0
6.641 * [backup-simplify]: Simplify 1 into 1
6.641 * [backup-simplify]: Simplify (/ -1 1) into -1
6.641 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.641 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.641 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.641 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
6.641 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 2) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
6.642 * [backup-simplify]: Simplify (+ 0 0) into 0
6.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
6.642 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
6.642 * [backup-simplify]: Simplify 0 into 0
6.642 * [backup-simplify]: Simplify (+ 0 0) into 0
6.644 * [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
6.644 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
6.644 * [backup-simplify]: Simplify 0 into 0
6.644 * [backup-simplify]: Simplify (+ 0 0) into 0
6.646 * [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
6.646 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0
6.646 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify (+ 0 0) into 0
6.649 * [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
6.650 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0
6.650 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify (+ 0 0) into 0
6.655 * [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
6.656 * [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
6.656 * [backup-simplify]: Simplify 0 into 0
6.656 * [backup-simplify]: Simplify (+ 0 0) into 0
6.664 * [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
6.665 * [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
6.666 * [backup-simplify]: Simplify 0 into 0
6.666 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
6.666 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
6.666 * [backup-simplify]: Simplify (* (log1p (exp x)) (log1p (exp x))) into (pow (log1p (exp x)) 2)
6.666 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 2) in (x) around 0
6.666 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
6.666 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.666 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.666 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.666 * [taylor]: Taking taylor expansion of 1 in x
6.666 * [backup-simplify]: Simplify 1 into 1
6.666 * [taylor]: Taking taylor expansion of (exp x) in x
6.666 * [taylor]: Taking taylor expansion of x in x
6.666 * [backup-simplify]: Simplify 0 into 0
6.666 * [backup-simplify]: Simplify 1 into 1
6.666 * [backup-simplify]: Simplify (exp 0) into 1
6.666 * [backup-simplify]: Simplify (+ 1 1) into 2
6.667 * [backup-simplify]: Simplify (log 2) into (log 2)
6.667 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
6.667 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.667 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.667 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.667 * [taylor]: Taking taylor expansion of 1 in x
6.667 * [backup-simplify]: Simplify 1 into 1
6.667 * [taylor]: Taking taylor expansion of (exp x) in x
6.667 * [taylor]: Taking taylor expansion of x in x
6.667 * [backup-simplify]: Simplify 0 into 0
6.667 * [backup-simplify]: Simplify 1 into 1
6.667 * [backup-simplify]: Simplify (exp 0) into 1
6.667 * [backup-simplify]: Simplify (+ 1 1) into 2
6.667 * [backup-simplify]: Simplify (log 2) into (log 2)
6.668 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
6.669 * [backup-simplify]: Simplify (pow (log 2) 2) into (pow (log 2) 2)
6.670 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
6.670 * [backup-simplify]: Simplify (+ 0 1) into 1
6.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
6.673 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
6.673 * [backup-simplify]: Simplify (log 2) into (log 2)
6.674 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
6.674 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
6.676 * [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
6.678 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
6.679 * [backup-simplify]: Simplify (+ (* 1/4 (log 2)) 1/4) into (+ (* 1/4 (log 2)) 1/4)
6.681 * [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))))
6.681 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 x))) (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 2)
6.681 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in (x) around 0
6.681 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
6.681 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.681 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.681 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.681 * [taylor]: Taking taylor expansion of 1 in x
6.681 * [backup-simplify]: Simplify 1 into 1
6.681 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.681 * [taylor]: Taking taylor expansion of x in x
6.681 * [backup-simplify]: Simplify 0 into 0
6.681 * [backup-simplify]: Simplify 1 into 1
6.681 * [backup-simplify]: Simplify (/ 1 1) into 1
6.681 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.681 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.681 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.681 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
6.681 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.682 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.682 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.682 * [taylor]: Taking taylor expansion of 1 in x
6.682 * [backup-simplify]: Simplify 1 into 1
6.682 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.682 * [taylor]: Taking taylor expansion of x in x
6.682 * [backup-simplify]: Simplify 0 into 0
6.682 * [backup-simplify]: Simplify 1 into 1
6.682 * [backup-simplify]: Simplify (/ 1 1) into 1
6.682 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.682 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.682 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.682 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
6.682 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 2) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
6.683 * [backup-simplify]: Simplify (+ 0 0) into 0
6.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
6.683 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
6.683 * [backup-simplify]: Simplify 0 into 0
6.683 * [backup-simplify]: Simplify (+ 0 0) into 0
6.684 * [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
6.685 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
6.685 * [backup-simplify]: Simplify 0 into 0
6.685 * [backup-simplify]: Simplify (+ 0 0) into 0
6.687 * [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
6.687 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1)))))) into 0
6.687 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify (+ 0 0) into 0
6.690 * [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
6.691 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))))) into 0
6.691 * [backup-simplify]: Simplify 0 into 0
6.691 * [backup-simplify]: Simplify (+ 0 0) into 0
6.696 * [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
6.697 * [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
6.697 * [backup-simplify]: Simplify 0 into 0
6.697 * [backup-simplify]: Simplify (+ 0 0) into 0
6.705 * [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
6.709 * [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
6.709 * [backup-simplify]: Simplify 0 into 0
6.709 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
6.709 * [backup-simplify]: Simplify (* (log1p (exp (/ 1 (- x)))) (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 2)
6.710 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in (x) around 0
6.710 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
6.710 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.710 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.710 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.710 * [taylor]: Taking taylor expansion of 1 in x
6.710 * [backup-simplify]: Simplify 1 into 1
6.710 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.710 * [taylor]: Taking taylor expansion of -1 in x
6.710 * [backup-simplify]: Simplify -1 into -1
6.710 * [taylor]: Taking taylor expansion of x in x
6.710 * [backup-simplify]: Simplify 0 into 0
6.710 * [backup-simplify]: Simplify 1 into 1
6.710 * [backup-simplify]: Simplify (/ -1 1) into -1
6.710 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.711 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.711 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.711 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
6.711 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.711 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.711 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.711 * [taylor]: Taking taylor expansion of 1 in x
6.711 * [backup-simplify]: Simplify 1 into 1
6.711 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.711 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.711 * [taylor]: Taking taylor expansion of -1 in x
6.711 * [backup-simplify]: Simplify -1 into -1
6.711 * [taylor]: Taking taylor expansion of x in x
6.711 * [backup-simplify]: Simplify 0 into 0
6.711 * [backup-simplify]: Simplify 1 into 1
6.712 * [backup-simplify]: Simplify (/ -1 1) into -1
6.712 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.712 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.712 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.713 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
6.713 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 2) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
6.713 * [backup-simplify]: Simplify (+ 0 0) into 0
6.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
6.714 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
6.714 * [backup-simplify]: Simplify 0 into 0
6.715 * [backup-simplify]: Simplify (+ 0 0) into 0
6.717 * [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
6.717 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
6.717 * [backup-simplify]: Simplify 0 into 0
6.718 * [backup-simplify]: Simplify (+ 0 0) into 0
6.721 * [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
6.722 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1)))))) into 0
6.722 * [backup-simplify]: Simplify 0 into 0
6.722 * [backup-simplify]: Simplify (+ 0 0) into 0
6.728 * [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
6.729 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))))) into 0
6.729 * [backup-simplify]: Simplify 0 into 0
6.730 * [backup-simplify]: Simplify (+ 0 0) into 0
6.738 * [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
6.740 * [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
6.740 * [backup-simplify]: Simplify 0 into 0
6.740 * [backup-simplify]: Simplify (+ 0 0) into 0
6.753 * [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
6.755 * [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
6.755 * [backup-simplify]: Simplify 0 into 0
6.755 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) into (pow (log (+ (exp x) 1)) 2)
6.755 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1)
6.755 * [backup-simplify]: Simplify (log1p (exp x)) into (log1p (exp x))
6.755 * [approximate]: Taking taylor expansion of (log1p (exp x)) in (x) around 0
6.755 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.755 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.755 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.755 * [taylor]: Taking taylor expansion of 1 in x
6.755 * [backup-simplify]: Simplify 1 into 1
6.756 * [taylor]: Taking taylor expansion of (exp x) in x
6.756 * [taylor]: Taking taylor expansion of x in x
6.756 * [backup-simplify]: Simplify 0 into 0
6.756 * [backup-simplify]: Simplify 1 into 1
6.756 * [backup-simplify]: Simplify (exp 0) into 1
6.756 * [backup-simplify]: Simplify (+ 1 1) into 2
6.756 * [backup-simplify]: Simplify (log 2) into (log 2)
6.756 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
6.756 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
6.756 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
6.756 * [taylor]: Taking taylor expansion of 1 in x
6.756 * [backup-simplify]: Simplify 1 into 1
6.757 * [taylor]: Taking taylor expansion of (exp x) in x
6.757 * [taylor]: Taking taylor expansion of x in x
6.757 * [backup-simplify]: Simplify 0 into 0
6.757 * [backup-simplify]: Simplify 1 into 1
6.757 * [backup-simplify]: Simplify (exp 0) into 1
6.757 * [backup-simplify]: Simplify (+ 1 1) into 2
6.757 * [backup-simplify]: Simplify (log 2) into (log 2)
6.758 * [backup-simplify]: Simplify (log 2) into (log 2)
6.759 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
6.759 * [backup-simplify]: Simplify (+ 0 1) into 1
6.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
6.761 * [backup-simplify]: Simplify 1/2 into 1/2
6.762 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
6.763 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
6.766 * [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
6.766 * [backup-simplify]: Simplify 1/8 into 1/8
6.766 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
6.766 * [backup-simplify]: Simplify (log1p (exp (/ 1 x))) into (log1p (exp (/ 1 x)))
6.766 * [approximate]: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0
6.766 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.766 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.766 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.767 * [taylor]: Taking taylor expansion of 1 in x
6.767 * [backup-simplify]: Simplify 1 into 1
6.767 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.767 * [taylor]: Taking taylor expansion of x in x
6.767 * [backup-simplify]: Simplify 0 into 0
6.767 * [backup-simplify]: Simplify 1 into 1
6.767 * [backup-simplify]: Simplify (/ 1 1) into 1
6.767 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.767 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.767 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.767 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
6.767 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
6.767 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
6.767 * [taylor]: Taking taylor expansion of 1 in x
6.768 * [backup-simplify]: Simplify 1 into 1
6.768 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
6.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.768 * [taylor]: Taking taylor expansion of x in x
6.768 * [backup-simplify]: Simplify 0 into 0
6.768 * [backup-simplify]: Simplify 1 into 1
6.768 * [backup-simplify]: Simplify (/ 1 1) into 1
6.768 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
6.768 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
6.768 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.768 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
6.769 * [backup-simplify]: Simplify (+ 0 0) into 0
6.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
6.770 * [backup-simplify]: Simplify 0 into 0
6.770 * [backup-simplify]: Simplify (+ 0 0) into 0
6.772 * [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
6.772 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify (+ 0 0) into 0
6.775 * [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
6.775 * [backup-simplify]: Simplify 0 into 0
6.775 * [backup-simplify]: Simplify (+ 0 0) into 0
6.778 * [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
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify (+ 0 0) into 0
6.783 * [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
6.783 * [backup-simplify]: Simplify 0 into 0
6.783 * [backup-simplify]: Simplify (+ 0 0) into 0
6.790 * [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
6.790 * [backup-simplify]: Simplify 0 into 0
6.790 * [backup-simplify]: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1))
6.790 * [backup-simplify]: Simplify (log1p (exp (/ 1 (- x)))) into (log1p (exp (/ -1 x)))
6.790 * [approximate]: Taking taylor expansion of (log1p (exp (/ -1 x))) in (x) around 0
6.791 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.791 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.791 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.791 * [taylor]: Taking taylor expansion of 1 in x
6.791 * [backup-simplify]: Simplify 1 into 1
6.791 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.791 * [taylor]: Taking taylor expansion of -1 in x
6.791 * [backup-simplify]: Simplify -1 into -1
6.791 * [taylor]: Taking taylor expansion of x in x
6.791 * [backup-simplify]: Simplify 0 into 0
6.791 * [backup-simplify]: Simplify 1 into 1
6.791 * [backup-simplify]: Simplify (/ -1 1) into -1
6.791 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.791 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.791 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.791 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
6.791 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
6.791 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
6.791 * [taylor]: Taking taylor expansion of 1 in x
6.791 * [backup-simplify]: Simplify 1 into 1
6.791 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
6.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.791 * [taylor]: Taking taylor expansion of -1 in x
6.791 * [backup-simplify]: Simplify -1 into -1
6.791 * [taylor]: Taking taylor expansion of x in x
6.791 * [backup-simplify]: Simplify 0 into 0
6.791 * [backup-simplify]: Simplify 1 into 1
6.792 * [backup-simplify]: Simplify (/ -1 1) into -1
6.792 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
6.792 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
6.792 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.792 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
6.792 * [backup-simplify]: Simplify (+ 0 0) into 0
6.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
6.793 * [backup-simplify]: Simplify 0 into 0
6.793 * [backup-simplify]: Simplify (+ 0 0) into 0
6.794 * [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
6.794 * [backup-simplify]: Simplify 0 into 0
6.794 * [backup-simplify]: Simplify (+ 0 0) into 0
6.796 * [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
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify (+ 0 0) into 0
6.799 * [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
6.799 * [backup-simplify]: Simplify 0 into 0
6.799 * [backup-simplify]: Simplify (+ 0 0) into 0
6.803 * [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
6.804 * [backup-simplify]: Simplify 0 into 0
6.804 * [backup-simplify]: Simplify (+ 0 0) into 0
6.813 * [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
6.813 * [backup-simplify]: Simplify 0 into 0
6.813 * [backup-simplify]: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1))
6.814 * * * [progress]: simplifying candidates
6.814 * * * * [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))))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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))>
6.814 * * * * [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))))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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)))))))>
6.814 * * * * [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)))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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)))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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))))))))>
6.814 * * * * [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)))))))>
6.814 * * * * [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))))))))>
6.815 * * * * [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))))))))>
6.815 * * * * [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)))))))>
6.815 * * * * [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))))))))>
6.815 * * * * [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))))))))>
6.815 * * * * [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)))))))>
6.815 * * * * [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)))))))>
6.815 * * * * [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)))))))>
6.815 * * * * [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))))))>
6.815 * * * * [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)))))))>
6.815 * * * * [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)))))))>
6.815 * * * * [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))))))>
6.815 * * * * [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)))))))>
6.815 * * * * [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)))))))>
6.815 * * * * [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)))))>
6.815 * * * * [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))))))>
6.815 * * * * [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))))))))>
6.815 * * * * [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))))))>
6.815 * * * * [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))))))))>
6.815 * * * * [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))))))>
6.815 * * * * [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))))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.816 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.817 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.818 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [progress]: [ 108 / 119 ] simplifiying candidate #<alt (λ (x y) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))>
6.819 * * * * [progress]: [ 109 / 119 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
6.819 * * * * [progress]: [ 110 / 119 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.819 * * * * [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))))))>
6.821 * [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))
6.823 * * [simplify]: iteration 0: 142 enodes
6.851 * * [simplify]: iteration 1: 395 enodes
7.071 * * [simplify]: iteration 2: 2390 enodes
9.080 * * [simplify]: iteration complete: 5000 enodes
9.080 * * [simplify]: Extracting #0: cost 74 inf + 0
9.083 * * [simplify]: Extracting #1: cost 721 inf + 2
9.091 * * [simplify]: Extracting #2: cost 1000 inf + 2978
9.103 * * [simplify]: Extracting #3: cost 1161 inf + 14001
9.129 * * [simplify]: Extracting #4: cost 933 inf + 83642
9.207 * * [simplify]: Extracting #5: cost 323 inf + 328052
9.361 * * [simplify]: Extracting #6: cost 16 inf + 486540
9.466 * * [simplify]: Extracting #7: cost 1 inf + 493667
9.596 * * [simplify]: Extracting #8: cost 0 inf + 494340
9.769 * [simplify]: Simplified to:
  (expm1 (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (log1p (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (log (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (log (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (exp (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (* (* (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))) (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (* (cbrt (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))) (cbrt (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))))
  (cbrt (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (* (* (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))) (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (- (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))))
  (- (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))
  (* (/ (* (log1p (exp x)) (log1p (exp x))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (log1p (exp x)))
  (/ (* (* (* x y) (* x y)) (* x y)) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))
  (* (/ (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))) (/ (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (* (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))))) (sqrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (sqrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (* (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))))
  (/ (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))
  (/ (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (* (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (sqrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (sqrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))))
  (/ (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))
  (/ (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))) (* (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (- (log1p (exp x)) (* x y)) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))) (sqrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (- (log1p (exp x)) (* x y)) (sqrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))
  (/ (- (log1p (exp x)) (* x y)) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))
  (/ 1 (* (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))))
  (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ 1 (sqrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (sqrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  1
  (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))
  (/ 1 (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))
  (/ (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))))
  (/ (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))))) (cbrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (sqrt (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x))))))
  (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))
  (/ (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))) (cbrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))))
  (/ (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))) (sqrt (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y)))))
  (/ (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))) (- (log1p (exp x)) (* x y)))
  (/ (fma x (* y (fma x y (log1p (exp x)))) (* (log1p (exp x)) (log1p (exp x)))) (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))))
  (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (fma (* x y) (* x y) (* (* x y) (log1p (exp x)))) (fma (* x y) (* x y) (* (* x y) (log1p (exp x))))) (fma (* x y) (* x y) (* (* x y) (log1p (exp x)))))))
  (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (- (* (* (log1p (exp x)) (log1p (exp x))) (* (log1p (exp x)) (log1p (exp x)))) (* (fma (* x y) (* x y) (* (* x y) (log1p (exp x)))) (fma (* x y) (* x y) (* (* x y) (log1p (exp x)))))))
  (fma (fma (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* x y) (* x y)) (* x y)) (fma (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (* x y) (* x y)) (* x y))))) (* (log1p (exp x)) (log1p (exp x))) (* (fma (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* x y) (* x y)) (* x y)) (fma (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (* x y) (* x y)) (* x y))))) (fma (* x y) (* x y) (* (* x y) (log1p (exp x))))))
  (fma (fma (* x y) (* x y) (* (* x y) (log1p (exp x)))) (fma (* (* x y) (* x y)) (* x y) (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x))))) (* (* (log1p (exp x)) (log1p (exp x))) (fma (* (* x y) (* x y)) (* x y) (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))))))
  (real->posit16 (/ (- (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (* (* (* x y) (* x y)) (* x y))) (fma x (* y (fma x y (log1p (exp x)))) (* (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)))
  (* (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)))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (log1p (exp x))
  (* (cbrt (log1p (exp x))) (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)))
  (* (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)))
  (* (log1p (exp x)) (sqrt (log1p (exp x))))
  (log1p (exp x))
  (* (cbrt (log1p (exp x))) (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 1/2 x (log 2)))
  (- (log1p (exp x)) (* x y))
  (- (log1p (exp x)) (* x y))
  (fma (log 2) (* (* x x) 1/4) (fma (log 2) x (fma (log 2) (log 2) (* (* x x) 1/4))))
  (* (log1p (exp x)) (log1p (exp x)))
  (* (log1p (exp x)) (log1p (exp x)))
  (fma (log 2) (* (* x x) 1/4) (fma (log 2) x (fma (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 1/2 x (log 2)))
  (log1p (exp x))
  (log1p (exp x))
9.796 * * * [progress]: adding candidates to table
10.327 * * [progress]: iteration 4 / 4
10.327 * * * [progress]: picking best candidate
10.341 * * * * [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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
10.341 * * * [progress]: localizing error
10.397 * * * [progress]: generating rewritten candidates
10.397 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
10.767 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2)
10.767 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2)
10.768 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1)
10.769 * * * [progress]: generating series expansions
10.769 * * * * [progress]: [ 1 / 4 ] generating series at (2)
10.770 * [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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)))))
10.770 * [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
10.770 * [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
10.770 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) in y
10.770 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 3) in y
10.770 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
10.770 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.770 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
10.770 * [taylor]: Taking taylor expansion of 1 in y
10.770 * [backup-simplify]: Simplify 1 into 1
10.770 * [taylor]: Taking taylor expansion of (exp x) in y
10.770 * [taylor]: Taking taylor expansion of x in y
10.770 * [backup-simplify]: Simplify x into x
10.770 * [backup-simplify]: Simplify (exp x) into (exp x)
10.770 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
10.770 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
10.771 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y
10.771 * [taylor]: Taking taylor expansion of (pow x 3) in y
10.771 * [taylor]: Taking taylor expansion of x in y
10.771 * [backup-simplify]: Simplify x into x
10.771 * [taylor]: Taking taylor expansion of (pow y 3) in y
10.771 * [taylor]: Taking taylor expansion of y in y
10.771 * [backup-simplify]: Simplify 0 into 0
10.771 * [backup-simplify]: Simplify 1 into 1
10.771 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in y
10.771 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in y
10.771 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
10.771 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.771 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
10.771 * [taylor]: Taking taylor expansion of 1 in y
10.771 * [backup-simplify]: Simplify 1 into 1
10.771 * [taylor]: Taking taylor expansion of (exp x) in y
10.771 * [taylor]: Taking taylor expansion of x in y
10.771 * [backup-simplify]: Simplify x into x
10.771 * [backup-simplify]: Simplify (exp x) into (exp x)
10.771 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
10.771 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
10.771 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in y
10.771 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
10.771 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.771 * [taylor]: Taking taylor expansion of x in y
10.771 * [backup-simplify]: Simplify x into x
10.771 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.771 * [taylor]: Taking taylor expansion of y in y
10.771 * [backup-simplify]: Simplify 0 into 0
10.771 * [backup-simplify]: Simplify 1 into 1
10.771 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in y
10.771 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
10.771 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.771 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
10.771 * [taylor]: Taking taylor expansion of 1 in y
10.771 * [backup-simplify]: Simplify 1 into 1
10.771 * [taylor]: Taking taylor expansion of (exp x) in y
10.771 * [taylor]: Taking taylor expansion of x in y
10.771 * [backup-simplify]: Simplify x into x
10.771 * [backup-simplify]: Simplify (exp x) into (exp x)
10.771 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
10.771 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
10.771 * [taylor]: Taking taylor expansion of (* x y) in y
10.771 * [taylor]: Taking taylor expansion of x in y
10.771 * [backup-simplify]: Simplify x into x
10.771 * [taylor]: Taking taylor expansion of y in y
10.771 * [backup-simplify]: Simplify 0 into 0
10.771 * [backup-simplify]: Simplify 1 into 1
10.771 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
10.772 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (pow (log (+ (exp x) 1)) 2)) into (pow (log (+ (exp x) 1)) 3)
10.772 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 3) 0) into (pow (log (+ (exp x) 1)) 3)
10.772 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) into (pow (log (+ (exp x) 1)) 2)
10.772 * [backup-simplify]: Simplify (* x 0) into 0
10.772 * [backup-simplify]: Simplify (* (log (+ (exp x) 1)) 0) into 0
10.772 * [backup-simplify]: Simplify (+ 0 0) into 0
10.773 * [backup-simplify]: Simplify (+ (pow (log (+ (exp x) 1)) 2) 0) into (pow (log (+ (exp x) 1)) 2)
10.773 * [backup-simplify]: Simplify (/ (pow (log (+ (exp x) 1)) 3) (pow (log (+ (exp x) 1)) 2)) into (log (+ (exp x) 1))
10.773 * [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
10.773 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) in x
10.773 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 3) in x
10.773 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
10.773 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.773 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
10.773 * [taylor]: Taking taylor expansion of 1 in x
10.773 * [backup-simplify]: Simplify 1 into 1
10.773 * [taylor]: Taking taylor expansion of (exp x) in x
10.773 * [taylor]: Taking taylor expansion of x in x
10.773 * [backup-simplify]: Simplify 0 into 0
10.773 * [backup-simplify]: Simplify 1 into 1
10.773 * [backup-simplify]: Simplify (exp 0) into 1
10.773 * [backup-simplify]: Simplify (+ 1 1) into 2
10.773 * [backup-simplify]: Simplify (log 2) into (log 2)
10.773 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
10.773 * [taylor]: Taking taylor expansion of (pow x 3) in x
10.773 * [taylor]: Taking taylor expansion of x in x
10.773 * [backup-simplify]: Simplify 0 into 0
10.773 * [backup-simplify]: Simplify 1 into 1
10.773 * [taylor]: Taking taylor expansion of (pow y 3) in x
10.774 * [taylor]: Taking taylor expansion of y in x
10.774 * [backup-simplify]: Simplify y into y
10.774 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
10.774 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
10.774 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
10.774 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.774 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
10.774 * [taylor]: Taking taylor expansion of 1 in x
10.774 * [backup-simplify]: Simplify 1 into 1
10.774 * [taylor]: Taking taylor expansion of (exp x) in x
10.774 * [taylor]: Taking taylor expansion of x in x
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify 1 into 1
10.774 * [backup-simplify]: Simplify (exp 0) into 1
10.774 * [backup-simplify]: Simplify (+ 1 1) into 2
10.774 * [backup-simplify]: Simplify (log 2) into (log 2)
10.774 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
10.774 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
10.774 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.774 * [taylor]: Taking taylor expansion of x in x
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify 1 into 1
10.774 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.774 * [taylor]: Taking taylor expansion of y in x
10.774 * [backup-simplify]: Simplify y into y
10.774 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
10.774 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
10.774 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.774 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
10.775 * [taylor]: Taking taylor expansion of 1 in x
10.775 * [backup-simplify]: Simplify 1 into 1
10.775 * [taylor]: Taking taylor expansion of (exp x) in x
10.775 * [taylor]: Taking taylor expansion of x in x
10.775 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify 1 into 1
10.775 * [backup-simplify]: Simplify (exp 0) into 1
10.775 * [backup-simplify]: Simplify (+ 1 1) into 2
10.775 * [backup-simplify]: Simplify (log 2) into (log 2)
10.775 * [taylor]: Taking taylor expansion of (* x y) in x
10.775 * [taylor]: Taking taylor expansion of x in x
10.775 * [backup-simplify]: Simplify 0 into 0
10.775 * [backup-simplify]: Simplify 1 into 1
10.775 * [taylor]: Taking taylor expansion of y in x
10.775 * [backup-simplify]: Simplify y into y
10.776 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
10.777 * [backup-simplify]: Simplify (* (log 2) (pow (log 2) 2)) into (pow (log 2) 3)
10.778 * [backup-simplify]: Simplify (+ (pow (log 2) 3) 0) into (pow (log 2) 3)
10.779 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
10.779 * [backup-simplify]: Simplify (* 0 y) into 0
10.779 * [backup-simplify]: Simplify (* (log 2) 0) into 0
10.779 * [backup-simplify]: Simplify (+ 0 0) into 0
10.780 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
10.781 * [backup-simplify]: Simplify (/ (pow (log 2) 3) (pow (log 2) 2)) into (log 2)
10.782 * [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
10.782 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp x)) 3) (* (pow x 3) (pow y 3))) in x
10.782 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 3) in x
10.782 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
10.782 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.782 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
10.782 * [taylor]: Taking taylor expansion of 1 in x
10.782 * [backup-simplify]: Simplify 1 into 1
10.782 * [taylor]: Taking taylor expansion of (exp x) in x
10.782 * [taylor]: Taking taylor expansion of x in x
10.782 * [backup-simplify]: Simplify 0 into 0
10.782 * [backup-simplify]: Simplify 1 into 1
10.782 * [backup-simplify]: Simplify (exp 0) into 1
10.782 * [backup-simplify]: Simplify (+ 1 1) into 2
10.782 * [backup-simplify]: Simplify (log 2) into (log 2)
10.782 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
10.782 * [taylor]: Taking taylor expansion of (pow x 3) in x
10.782 * [taylor]: Taking taylor expansion of x in x
10.782 * [backup-simplify]: Simplify 0 into 0
10.782 * [backup-simplify]: Simplify 1 into 1
10.782 * [taylor]: Taking taylor expansion of (pow y 3) in x
10.782 * [taylor]: Taking taylor expansion of y in x
10.782 * [backup-simplify]: Simplify y into y
10.782 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp x)) 2) (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y)))) in x
10.782 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 2) in x
10.782 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
10.782 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.782 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
10.782 * [taylor]: Taking taylor expansion of 1 in x
10.782 * [backup-simplify]: Simplify 1 into 1
10.783 * [taylor]: Taking taylor expansion of (exp x) in x
10.783 * [taylor]: Taking taylor expansion of x in x
10.783 * [backup-simplify]: Simplify 0 into 0
10.783 * [backup-simplify]: Simplify 1 into 1
10.783 * [backup-simplify]: Simplify (exp 0) into 1
10.783 * [backup-simplify]: Simplify (+ 1 1) into 2
10.783 * [backup-simplify]: Simplify (log 2) into (log 2)
10.783 * [taylor]: Taking taylor expansion of (+ (* (pow x 2) (pow y 2)) (* (log1p (exp x)) (* x y))) in x
10.783 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
10.783 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.783 * [taylor]: Taking taylor expansion of x in x
10.783 * [backup-simplify]: Simplify 0 into 0
10.783 * [backup-simplify]: Simplify 1 into 1
10.783 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.783 * [taylor]: Taking taylor expansion of y in x
10.783 * [backup-simplify]: Simplify y into y
10.783 * [taylor]: Taking taylor expansion of (* (log1p (exp x)) (* x y)) in x
10.783 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
10.783 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.783 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
10.783 * [taylor]: Taking taylor expansion of 1 in x
10.783 * [backup-simplify]: Simplify 1 into 1
10.783 * [taylor]: Taking taylor expansion of (exp x) in x
10.783 * [taylor]: Taking taylor expansion of x in x
10.783 * [backup-simplify]: Simplify 0 into 0
10.783 * [backup-simplify]: Simplify 1 into 1
10.783 * [backup-simplify]: Simplify (exp 0) into 1
10.784 * [backup-simplify]: Simplify (+ 1 1) into 2
10.784 * [backup-simplify]: Simplify (log 2) into (log 2)
10.784 * [taylor]: Taking taylor expansion of (* x y) in x
10.784 * [taylor]: Taking taylor expansion of x in x
10.784 * [backup-simplify]: Simplify 0 into 0
10.784 * [backup-simplify]: Simplify 1 into 1
10.784 * [taylor]: Taking taylor expansion of y in x
10.784 * [backup-simplify]: Simplify y into y
10.785 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
10.786 * [backup-simplify]: Simplify (* (log 2) (pow (log 2) 2)) into (pow (log 2) 3)
10.787 * [backup-simplify]: Simplify (+ (pow (log 2) 3) 0) into (pow (log 2) 3)
10.787 * [backup-simplify]: Simplify (* (log 2) (log 2)) into (pow (log 2) 2)
10.787 * [backup-simplify]: Simplify (* 0 y) into 0
10.788 * [backup-simplify]: Simplify (* (log 2) 0) into 0
10.788 * [backup-simplify]: Simplify (+ 0 0) into 0
10.789 * [backup-simplify]: Simplify (+ (pow (log 2) 2) 0) into (pow (log 2) 2)
10.790 * [backup-simplify]: Simplify (/ (pow (log 2) 3) (pow (log 2) 2)) into (log 2)
10.790 * [taylor]: Taking taylor expansion of (log 2) in y
10.790 * [taylor]: Taking taylor expansion of 2 in y
10.790 * [backup-simplify]: Simplify 2 into 2
10.791 * [backup-simplify]: Simplify (log 2) into (log 2)
10.791 * [backup-simplify]: Simplify (log 2) into (log 2)
10.792 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
10.792 * [backup-simplify]: Simplify (+ 0 1) into 1
10.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
10.794 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
10.798 * [backup-simplify]: Simplify (+ (* (log 2) (log 2)) (* 1/2 (pow (log 2) 2))) into (* 3/2 (pow (log 2) 2))
10.800 * [backup-simplify]: Simplify (+ (* 3/2 (pow (log 2) 2)) 0) into (* 3/2 (pow (log 2) 2))
10.801 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
10.801 * [backup-simplify]: Simplify (+ 0 1) into 1
10.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
10.804 * [backup-simplify]: Simplify (+ (* (log 2) 1/2) (* 1/2 (log 2))) into (log 2)
10.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
10.805 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
10.806 * [backup-simplify]: Simplify (+ 0 1) into 1
10.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
10.808 * [backup-simplify]: Simplify (+ (* (log 2) y) (* 1/2 0)) into (* (log 2) y)
10.808 * [backup-simplify]: Simplify (+ 0 (* (log 2) y)) into (* (log 2) y)
10.809 * [backup-simplify]: Simplify (+ (log 2) (* (log 2) y)) into (+ (log 2) (* (log 2) y))
10.813 * [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)
10.813 * [taylor]: Taking taylor expansion of (- 1/2 y) in y
10.813 * [taylor]: Taking taylor expansion of 1/2 in y
10.813 * [backup-simplify]: Simplify 1/2 into 1/2
10.813 * [taylor]: Taking taylor expansion of y in y
10.813 * [backup-simplify]: Simplify 0 into 0
10.813 * [backup-simplify]: Simplify 1 into 1
10.814 * [backup-simplify]: Simplify (- 0) into 0
10.814 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.814 * [backup-simplify]: Simplify 1/2 into 1/2
10.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.816 * [backup-simplify]: Simplify 0 into 0
10.817 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
10.817 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
10.820 * [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
10.822 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
10.827 * [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)))
10.829 * [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)))
10.830 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
10.830 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
10.832 * [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
10.834 * [backup-simplify]: Simplify (+ (* (log 2) 1/8) (+ (* 1/2 1/2) (* 1/8 (log 2)))) into (+ (* 1/4 (log 2)) 1/4)
10.834 * [backup-simplify]: Simplify (* 1 1) into 1
10.835 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.835 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
10.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
10.836 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
10.836 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
10.839 * [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
10.840 * [backup-simplify]: Simplify (+ (* (log 2) 0) (+ (* 1/2 y) (* 1/8 0))) into (* 1/2 y)
10.840 * [backup-simplify]: Simplify (+ (pow y 2) (* 1/2 y)) into (+ (pow y 2) (* 1/2 y))
10.841 * [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)))
10.850 * [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
10.850 * [taylor]: Taking taylor expansion of 1/8 in y
10.850 * [backup-simplify]: Simplify 1/8 into 1/8
10.850 * [backup-simplify]: Simplify 1/8 into 1/8
10.850 * [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))))
10.851 * [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))) (* (* (* (cbrt (log1p (exp (/ 1 x)))) (cbrt (log1p (exp (/ 1 x))))) (cbrt (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))))
10.851 * [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
10.851 * [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
10.851 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in y
10.851 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 3) in y
10.851 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
10.851 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
10.851 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
10.851 * [taylor]: Taking taylor expansion of 1 in y
10.851 * [backup-simplify]: Simplify 1 into 1
10.851 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
10.851 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.851 * [taylor]: Taking taylor expansion of x in y
10.851 * [backup-simplify]: Simplify x into x
10.851 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.851 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.851 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
10.851 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.852 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y
10.852 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y
10.852 * [taylor]: Taking taylor expansion of (pow x 3) in y
10.852 * [taylor]: Taking taylor expansion of x in y
10.852 * [backup-simplify]: Simplify x into x
10.852 * [taylor]: Taking taylor expansion of (pow y 3) in y
10.852 * [taylor]: Taking taylor expansion of y in y
10.852 * [backup-simplify]: Simplify 0 into 0
10.852 * [backup-simplify]: Simplify 1 into 1
10.852 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.852 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
10.852 * [backup-simplify]: Simplify (* 1 1) into 1
10.852 * [backup-simplify]: Simplify (* 1 1) into 1
10.852 * [backup-simplify]: Simplify (* (pow x 3) 1) into (pow x 3)
10.852 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3))
10.852 * [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
10.852 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
10.852 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
10.852 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.852 * [taylor]: Taking taylor expansion of x in y
10.852 * [backup-simplify]: Simplify x into x
10.852 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.852 * [taylor]: Taking taylor expansion of y in y
10.852 * [backup-simplify]: Simplify 0 into 0
10.852 * [backup-simplify]: Simplify 1 into 1
10.853 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.853 * [backup-simplify]: Simplify (* 1 1) into 1
10.853 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
10.853 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.853 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in y
10.853 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in y
10.853 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
10.853 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
10.853 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
10.853 * [taylor]: Taking taylor expansion of 1 in y
10.853 * [backup-simplify]: Simplify 1 into 1
10.853 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
10.853 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.853 * [taylor]: Taking taylor expansion of x in y
10.853 * [backup-simplify]: Simplify x into x
10.853 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.853 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.853 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
10.853 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.853 * [taylor]: Taking taylor expansion of (* x y) in y
10.853 * [taylor]: Taking taylor expansion of x in y
10.853 * [backup-simplify]: Simplify x into x
10.853 * [taylor]: Taking taylor expansion of y in y
10.853 * [backup-simplify]: Simplify 0 into 0
10.853 * [backup-simplify]: Simplify 1 into 1
10.853 * [backup-simplify]: Simplify (* x 0) into 0
10.854 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
10.854 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) x) into (/ (log (+ (exp (/ 1 x)) 1)) x)
10.854 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in y
10.854 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
10.854 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
10.854 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
10.854 * [taylor]: Taking taylor expansion of 1 in y
10.854 * [backup-simplify]: Simplify 1 into 1
10.854 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
10.854 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.854 * [taylor]: Taking taylor expansion of x in y
10.854 * [backup-simplify]: Simplify x into x
10.854 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.854 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.854 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
10.854 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.854 * [backup-simplify]: Simplify (- (/ 1 (pow x 3))) into (- (/ 1 (pow x 3)))
10.854 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 3)))) into (- (/ 1 (pow x 3)))
10.854 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
10.854 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 3))) (/ 1 (pow x 2))) into (/ -1 x)
10.854 * [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
10.854 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
10.854 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 3) in x
10.854 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
10.855 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
10.855 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
10.855 * [taylor]: Taking taylor expansion of 1 in x
10.855 * [backup-simplify]: Simplify 1 into 1
10.855 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
10.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.855 * [taylor]: Taking taylor expansion of x in x
10.855 * [backup-simplify]: Simplify 0 into 0
10.855 * [backup-simplify]: Simplify 1 into 1
10.855 * [backup-simplify]: Simplify (/ 1 1) into 1
10.855 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.855 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
10.855 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.855 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
10.855 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
10.855 * [taylor]: Taking taylor expansion of (pow x 3) in x
10.855 * [taylor]: Taking taylor expansion of x in x
10.855 * [backup-simplify]: Simplify 0 into 0
10.855 * [backup-simplify]: Simplify 1 into 1
10.855 * [taylor]: Taking taylor expansion of (pow y 3) in x
10.855 * [taylor]: Taking taylor expansion of y in x
10.855 * [backup-simplify]: Simplify y into y
10.855 * [backup-simplify]: Simplify (* 1 1) into 1
10.856 * [backup-simplify]: Simplify (* 1 1) into 1
10.856 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.856 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
10.856 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
10.856 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
10.856 * [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
10.856 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
10.856 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
10.856 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.856 * [taylor]: Taking taylor expansion of x in x
10.856 * [backup-simplify]: Simplify 0 into 0
10.856 * [backup-simplify]: Simplify 1 into 1
10.856 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.856 * [taylor]: Taking taylor expansion of y in x
10.856 * [backup-simplify]: Simplify y into y
10.856 * [backup-simplify]: Simplify (* 1 1) into 1
10.856 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.856 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
10.856 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.856 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
10.856 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
10.856 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
10.857 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
10.857 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
10.857 * [taylor]: Taking taylor expansion of 1 in x
10.857 * [backup-simplify]: Simplify 1 into 1
10.857 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
10.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.857 * [taylor]: Taking taylor expansion of x in x
10.857 * [backup-simplify]: Simplify 0 into 0
10.857 * [backup-simplify]: Simplify 1 into 1
10.857 * [backup-simplify]: Simplify (/ 1 1) into 1
10.857 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.857 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
10.857 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.857 * [taylor]: Taking taylor expansion of (* x y) in x
10.857 * [taylor]: Taking taylor expansion of x in x
10.857 * [backup-simplify]: Simplify 0 into 0
10.857 * [backup-simplify]: Simplify 1 into 1
10.857 * [taylor]: Taking taylor expansion of y in x
10.857 * [backup-simplify]: Simplify y into y
10.857 * [backup-simplify]: Simplify (* 0 y) into 0
10.857 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
10.858 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
10.858 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
10.858 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
10.858 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
10.858 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
10.858 * [taylor]: Taking taylor expansion of 1 in x
10.858 * [backup-simplify]: Simplify 1 into 1
10.858 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
10.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.858 * [taylor]: Taking taylor expansion of x in x
10.858 * [backup-simplify]: Simplify 0 into 0
10.858 * [backup-simplify]: Simplify 1 into 1
10.858 * [backup-simplify]: Simplify (/ 1 1) into 1
10.858 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.858 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
10.858 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.858 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
10.858 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
10.858 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
10.858 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
10.858 * [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
10.858 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ 1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
10.858 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 3) in x
10.859 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
10.859 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
10.859 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
10.859 * [taylor]: Taking taylor expansion of 1 in x
10.859 * [backup-simplify]: Simplify 1 into 1
10.859 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
10.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.859 * [taylor]: Taking taylor expansion of x in x
10.859 * [backup-simplify]: Simplify 0 into 0
10.859 * [backup-simplify]: Simplify 1 into 1
10.859 * [backup-simplify]: Simplify (/ 1 1) into 1
10.859 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.859 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
10.859 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.859 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
10.859 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
10.859 * [taylor]: Taking taylor expansion of (pow x 3) in x
10.859 * [taylor]: Taking taylor expansion of x in x
10.859 * [backup-simplify]: Simplify 0 into 0
10.859 * [backup-simplify]: Simplify 1 into 1
10.859 * [taylor]: Taking taylor expansion of (pow y 3) in x
10.859 * [taylor]: Taking taylor expansion of y in x
10.859 * [backup-simplify]: Simplify y into y
10.859 * [backup-simplify]: Simplify (* 1 1) into 1
10.860 * [backup-simplify]: Simplify (* 1 1) into 1
10.860 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.860 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
10.860 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
10.860 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
10.860 * [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
10.860 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
10.860 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
10.860 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.860 * [taylor]: Taking taylor expansion of x in x
10.860 * [backup-simplify]: Simplify 0 into 0
10.860 * [backup-simplify]: Simplify 1 into 1
10.860 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.860 * [taylor]: Taking taylor expansion of y in x
10.860 * [backup-simplify]: Simplify y into y
10.860 * [backup-simplify]: Simplify (* 1 1) into 1
10.860 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.860 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
10.861 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.861 * [taylor]: Taking taylor expansion of (+ (/ (log1p (exp (/ 1 x))) (* x y)) (pow (log1p (exp (/ 1 x))) 2)) in x
10.861 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ 1 x))) (* x y)) in x
10.861 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
10.861 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
10.861 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
10.861 * [taylor]: Taking taylor expansion of 1 in x
10.861 * [backup-simplify]: Simplify 1 into 1
10.861 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
10.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.861 * [taylor]: Taking taylor expansion of x in x
10.861 * [backup-simplify]: Simplify 0 into 0
10.861 * [backup-simplify]: Simplify 1 into 1
10.861 * [backup-simplify]: Simplify (/ 1 1) into 1
10.861 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.861 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
10.861 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.861 * [taylor]: Taking taylor expansion of (* x y) in x
10.861 * [taylor]: Taking taylor expansion of x in x
10.861 * [backup-simplify]: Simplify 0 into 0
10.861 * [backup-simplify]: Simplify 1 into 1
10.861 * [taylor]: Taking taylor expansion of y in x
10.861 * [backup-simplify]: Simplify y into y
10.861 * [backup-simplify]: Simplify (* 0 y) into 0
10.862 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
10.862 * [backup-simplify]: Simplify (/ (log (+ (exp (/ 1 x)) 1)) y) into (/ (log (+ (exp (/ 1 x)) 1)) y)
10.862 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 2) in x
10.862 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
10.862 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
10.862 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
10.862 * [taylor]: Taking taylor expansion of 1 in x
10.862 * [backup-simplify]: Simplify 1 into 1
10.862 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
10.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.862 * [taylor]: Taking taylor expansion of x in x
10.862 * [backup-simplify]: Simplify 0 into 0
10.862 * [backup-simplify]: Simplify 1 into 1
10.862 * [backup-simplify]: Simplify (/ 1 1) into 1
10.862 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.862 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
10.862 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.862 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
10.862 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
10.862 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
10.863 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
10.863 * [taylor]: Taking taylor expansion of (/ -1 y) in y
10.863 * [taylor]: Taking taylor expansion of -1 in y
10.863 * [backup-simplify]: Simplify -1 into -1
10.863 * [taylor]: Taking taylor expansion of y in y
10.863 * [backup-simplify]: Simplify 0 into 0
10.863 * [backup-simplify]: Simplify 1 into 1
10.863 * [backup-simplify]: Simplify (/ -1 1) into -1
10.863 * [backup-simplify]: Simplify -1 into -1
10.863 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.863 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0
10.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 3))) into 0
10.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))))) into 0
10.865 * [backup-simplify]: Simplify (- 0) into 0
10.865 * [backup-simplify]: Simplify (+ 0 0) into 0
10.865 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
10.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
10.866 * [backup-simplify]: Simplify (+ (/ (log (+ (exp (/ 1 x)) 1)) y) 0) into (/ (log (+ (exp (/ 1 x)) 1)) y)
10.866 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ 1 x)) 1)) y)) into (/ (log (+ (exp (/ 1 x)) 1)) y)
10.866 * [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))
10.866 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
10.866 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
10.866 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
10.866 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.866 * [taylor]: Taking taylor expansion of x in y
10.866 * [backup-simplify]: Simplify x into x
10.866 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.866 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
10.867 * [taylor]: Taking taylor expansion of 1 in y
10.867 * [backup-simplify]: Simplify 1 into 1
10.867 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
10.867 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.867 * [backup-simplify]: Simplify 0 into 0
10.867 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
10.868 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
10.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 3)))) into 0
10.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
10.870 * [backup-simplify]: Simplify (- 0) into 0
10.870 * [backup-simplify]: Simplify (+ 0 0) into 0
10.870 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
10.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
10.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
10.872 * [backup-simplify]: Simplify (+ 0 0) into 0
10.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
10.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
10.873 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)))) into 0
10.873 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
10.873 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
10.873 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
10.873 * [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
10.873 * [taylor]: Taking taylor expansion of 0 in y
10.873 * [backup-simplify]: Simplify 0 into 0
10.874 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
10.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.874 * [backup-simplify]: Simplify 0 into 0
10.874 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2)
10.874 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 3)
10.875 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
10.875 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
10.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3))))) into 0
10.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
10.878 * [backup-simplify]: Simplify (- 0) into 0
10.878 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ 1 x)) 1)) 3) 0) into (pow (log (+ (exp (/ 1 x)) 1)) 3)
10.878 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
10.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
10.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
10.880 * [backup-simplify]: Simplify (+ 0 0) into 0
10.881 * [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
10.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
10.882 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.882 * [backup-simplify]: Simplify (+ 0 0) into 0
10.883 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
10.883 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
10.883 * [backup-simplify]: Simplify (+ 0 0) into 0
10.883 * [backup-simplify]: Simplify (+ 0 0) into 0
10.884 * [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
10.884 * [taylor]: Taking taylor expansion of 0 in y
10.884 * [backup-simplify]: Simplify 0 into 0
10.884 * [backup-simplify]: Simplify 0 into 0
10.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
10.885 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
10.885 * [backup-simplify]: Simplify (+ 0 0) into 0
10.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
10.885 * [backup-simplify]: Simplify 0 into 0
10.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.886 * [backup-simplify]: Simplify 0 into 0
10.886 * [backup-simplify]: Simplify (+ 0 0) into 0
10.887 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
10.887 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (log (+ (exp (/ 1 x)) 1)))) into 0
10.887 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (* 0 (pow (log (+ (exp (/ 1 x)) 1)) 2))) into 0
10.888 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
10.888 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
10.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3)))))) into 0
10.891 * [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
10.891 * [backup-simplify]: Simplify (- 0) into 0
10.891 * [backup-simplify]: Simplify (+ 0 0) into 0
10.892 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
10.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
10.894 * [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
10.894 * [backup-simplify]: Simplify (+ 0 0) into 0
10.896 * [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
10.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
10.897 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ 1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.897 * [backup-simplify]: Simplify (+ 0 0) into 0
10.898 * [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
10.898 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ 1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0
10.899 * [backup-simplify]: Simplify (+ 0 0) into 0
10.899 * [backup-simplify]: Simplify (+ 0 0) into 0
10.899 * [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
10.899 * [taylor]: Taking taylor expansion of 0 in y
10.899 * [backup-simplify]: Simplify 0 into 0
10.899 * [backup-simplify]: Simplify 0 into 0
10.899 * [backup-simplify]: Simplify 0 into 0
10.900 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y))
10.900 * [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)))) (* (* (* (cbrt (log1p (exp (/ 1 (- x))))) (cbrt (log1p (exp (/ 1 (- x)))))) (cbrt (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)))))
10.900 * [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
10.901 * [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
10.901 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in y
10.901 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 3) in y
10.901 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
10.901 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
10.901 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
10.901 * [taylor]: Taking taylor expansion of 1 in y
10.901 * [backup-simplify]: Simplify 1 into 1
10.901 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
10.901 * [taylor]: Taking taylor expansion of (/ -1 x) in y
10.901 * [taylor]: Taking taylor expansion of -1 in y
10.901 * [backup-simplify]: Simplify -1 into -1
10.901 * [taylor]: Taking taylor expansion of x in y
10.901 * [backup-simplify]: Simplify x into x
10.901 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
10.901 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.901 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
10.901 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.901 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in y
10.901 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in y
10.901 * [taylor]: Taking taylor expansion of (pow x 3) in y
10.901 * [taylor]: Taking taylor expansion of x in y
10.901 * [backup-simplify]: Simplify x into x
10.901 * [taylor]: Taking taylor expansion of (pow y 3) in y
10.901 * [taylor]: Taking taylor expansion of y in y
10.901 * [backup-simplify]: Simplify 0 into 0
10.901 * [backup-simplify]: Simplify 1 into 1
10.901 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.901 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3)
10.901 * [backup-simplify]: Simplify (* 1 1) into 1
10.902 * [backup-simplify]: Simplify (* 1 1) into 1
10.902 * [backup-simplify]: Simplify (* (pow x 3) 1) into (pow x 3)
10.902 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3))
10.902 * [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
10.902 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
10.902 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
10.902 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.902 * [taylor]: Taking taylor expansion of x in y
10.902 * [backup-simplify]: Simplify x into x
10.902 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.902 * [taylor]: Taking taylor expansion of y in y
10.902 * [backup-simplify]: Simplify 0 into 0
10.902 * [backup-simplify]: Simplify 1 into 1
10.902 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.902 * [backup-simplify]: Simplify (* 1 1) into 1
10.902 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
10.902 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.902 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in y
10.902 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in y
10.902 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
10.902 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
10.902 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
10.902 * [taylor]: Taking taylor expansion of 1 in y
10.902 * [backup-simplify]: Simplify 1 into 1
10.902 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
10.903 * [taylor]: Taking taylor expansion of (/ -1 x) in y
10.903 * [taylor]: Taking taylor expansion of -1 in y
10.903 * [backup-simplify]: Simplify -1 into -1
10.903 * [taylor]: Taking taylor expansion of x in y
10.903 * [backup-simplify]: Simplify x into x
10.903 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
10.903 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.903 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
10.903 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.903 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in y
10.903 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
10.903 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
10.903 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
10.903 * [taylor]: Taking taylor expansion of 1 in y
10.903 * [backup-simplify]: Simplify 1 into 1
10.903 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
10.903 * [taylor]: Taking taylor expansion of (/ -1 x) in y
10.903 * [taylor]: Taking taylor expansion of -1 in y
10.903 * [backup-simplify]: Simplify -1 into -1
10.903 * [taylor]: Taking taylor expansion of x in y
10.903 * [backup-simplify]: Simplify x into x
10.903 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
10.903 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.903 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
10.903 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.903 * [taylor]: Taking taylor expansion of (* x y) in y
10.903 * [taylor]: Taking taylor expansion of x in y
10.903 * [backup-simplify]: Simplify x into x
10.903 * [taylor]: Taking taylor expansion of y in y
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 1 into 1
10.903 * [backup-simplify]: Simplify (* x 0) into 0
10.904 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
10.904 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) x) into (/ (log (+ (exp (/ -1 x)) 1)) x)
10.904 * [backup-simplify]: Simplify (- (/ 1 (pow x 3))) into (- (/ 1 (pow x 3)))
10.904 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 3)))) into (- (/ 1 (pow x 3)))
10.904 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
10.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 3))) (/ 1 (pow x 2))) into (/ -1 x)
10.904 * [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
10.904 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
10.904 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 3) in x
10.904 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
10.904 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
10.904 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
10.904 * [taylor]: Taking taylor expansion of 1 in x
10.904 * [backup-simplify]: Simplify 1 into 1
10.904 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
10.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x
10.904 * [taylor]: Taking taylor expansion of -1 in x
10.904 * [backup-simplify]: Simplify -1 into -1
10.904 * [taylor]: Taking taylor expansion of x in x
10.904 * [backup-simplify]: Simplify 0 into 0
10.904 * [backup-simplify]: Simplify 1 into 1
10.905 * [backup-simplify]: Simplify (/ -1 1) into -1
10.905 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.905 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
10.905 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.905 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
10.905 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
10.905 * [taylor]: Taking taylor expansion of (pow x 3) in x
10.905 * [taylor]: Taking taylor expansion of x in x
10.905 * [backup-simplify]: Simplify 0 into 0
10.905 * [backup-simplify]: Simplify 1 into 1
10.905 * [taylor]: Taking taylor expansion of (pow y 3) in x
10.905 * [taylor]: Taking taylor expansion of y in x
10.905 * [backup-simplify]: Simplify y into y
10.905 * [backup-simplify]: Simplify (* 1 1) into 1
10.905 * [backup-simplify]: Simplify (* 1 1) into 1
10.905 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.905 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
10.906 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
10.906 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
10.906 * [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
10.906 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
10.906 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
10.906 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.906 * [taylor]: Taking taylor expansion of x in x
10.906 * [backup-simplify]: Simplify 0 into 0
10.906 * [backup-simplify]: Simplify 1 into 1
10.906 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.906 * [taylor]: Taking taylor expansion of y in x
10.906 * [backup-simplify]: Simplify y into y
10.906 * [backup-simplify]: Simplify (* 1 1) into 1
10.906 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.906 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
10.906 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.906 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
10.906 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
10.906 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
10.906 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
10.906 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
10.906 * [taylor]: Taking taylor expansion of 1 in x
10.906 * [backup-simplify]: Simplify 1 into 1
10.906 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
10.906 * [taylor]: Taking taylor expansion of (/ -1 x) in x
10.906 * [taylor]: Taking taylor expansion of -1 in x
10.906 * [backup-simplify]: Simplify -1 into -1
10.906 * [taylor]: Taking taylor expansion of x in x
10.906 * [backup-simplify]: Simplify 0 into 0
10.906 * [backup-simplify]: Simplify 1 into 1
10.907 * [backup-simplify]: Simplify (/ -1 1) into -1
10.907 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.907 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
10.907 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.907 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
10.907 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
10.907 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
10.907 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
10.907 * [taylor]: Taking taylor expansion of 1 in x
10.907 * [backup-simplify]: Simplify 1 into 1
10.907 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
10.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x
10.907 * [taylor]: Taking taylor expansion of -1 in x
10.907 * [backup-simplify]: Simplify -1 into -1
10.907 * [taylor]: Taking taylor expansion of x in x
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 1 into 1
10.908 * [backup-simplify]: Simplify (/ -1 1) into -1
10.908 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.908 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
10.908 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.908 * [taylor]: Taking taylor expansion of (* x y) in x
10.908 * [taylor]: Taking taylor expansion of x in x
10.908 * [backup-simplify]: Simplify 0 into 0
10.908 * [backup-simplify]: Simplify 1 into 1
10.908 * [taylor]: Taking taylor expansion of y in x
10.908 * [backup-simplify]: Simplify y into y
10.908 * [backup-simplify]: Simplify (* 0 y) into 0
10.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
10.909 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
10.909 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
10.909 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
10.909 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
10.909 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
10.909 * [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
10.909 * [taylor]: Taking taylor expansion of (- (pow (log1p (exp (/ -1 x))) 3) (/ 1 (* (pow x 3) (pow y 3)))) in x
10.909 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 3) in x
10.909 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
10.909 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
10.909 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
10.909 * [taylor]: Taking taylor expansion of 1 in x
10.909 * [backup-simplify]: Simplify 1 into 1
10.909 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
10.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x
10.909 * [taylor]: Taking taylor expansion of -1 in x
10.909 * [backup-simplify]: Simplify -1 into -1
10.909 * [taylor]: Taking taylor expansion of x in x
10.909 * [backup-simplify]: Simplify 0 into 0
10.909 * [backup-simplify]: Simplify 1 into 1
10.910 * [backup-simplify]: Simplify (/ -1 1) into -1
10.910 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.910 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
10.910 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.910 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow y 3))) in x
10.910 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow y 3)) in x
10.910 * [taylor]: Taking taylor expansion of (pow x 3) in x
10.910 * [taylor]: Taking taylor expansion of x in x
10.910 * [backup-simplify]: Simplify 0 into 0
10.910 * [backup-simplify]: Simplify 1 into 1
10.910 * [taylor]: Taking taylor expansion of (pow y 3) in x
10.910 * [taylor]: Taking taylor expansion of y in x
10.910 * [backup-simplify]: Simplify y into y
10.911 * [backup-simplify]: Simplify (* 1 1) into 1
10.911 * [backup-simplify]: Simplify (* 1 1) into 1
10.911 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.911 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3)
10.911 * [backup-simplify]: Simplify (* 1 (pow y 3)) into (pow y 3)
10.911 * [backup-simplify]: Simplify (/ 1 (pow y 3)) into (/ 1 (pow y 3))
10.911 * [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
10.911 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
10.911 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
10.911 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.911 * [taylor]: Taking taylor expansion of x in x
10.911 * [backup-simplify]: Simplify 0 into 0
10.911 * [backup-simplify]: Simplify 1 into 1
10.911 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.911 * [taylor]: Taking taylor expansion of y in x
10.911 * [backup-simplify]: Simplify y into y
10.912 * [backup-simplify]: Simplify (* 1 1) into 1
10.912 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.912 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
10.912 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.912 * [taylor]: Taking taylor expansion of (+ (pow (log1p (exp (/ -1 x))) 2) (/ (log1p (exp (/ -1 x))) (* x y))) in x
10.912 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 2) in x
10.912 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
10.912 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
10.912 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
10.912 * [taylor]: Taking taylor expansion of 1 in x
10.912 * [backup-simplify]: Simplify 1 into 1
10.912 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
10.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x
10.912 * [taylor]: Taking taylor expansion of -1 in x
10.912 * [backup-simplify]: Simplify -1 into -1
10.912 * [taylor]: Taking taylor expansion of x in x
10.912 * [backup-simplify]: Simplify 0 into 0
10.912 * [backup-simplify]: Simplify 1 into 1
10.912 * [backup-simplify]: Simplify (/ -1 1) into -1
10.912 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.912 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
10.912 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.912 * [taylor]: Taking taylor expansion of (/ (log1p (exp (/ -1 x))) (* x y)) in x
10.912 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
10.913 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
10.913 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
10.913 * [taylor]: Taking taylor expansion of 1 in x
10.913 * [backup-simplify]: Simplify 1 into 1
10.913 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
10.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x
10.913 * [taylor]: Taking taylor expansion of -1 in x
10.913 * [backup-simplify]: Simplify -1 into -1
10.913 * [taylor]: Taking taylor expansion of x in x
10.913 * [backup-simplify]: Simplify 0 into 0
10.913 * [backup-simplify]: Simplify 1 into 1
10.913 * [backup-simplify]: Simplify (/ -1 1) into -1
10.913 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.913 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
10.913 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.913 * [taylor]: Taking taylor expansion of (* x y) in x
10.913 * [taylor]: Taking taylor expansion of x in x
10.913 * [backup-simplify]: Simplify 0 into 0
10.913 * [backup-simplify]: Simplify 1 into 1
10.913 * [taylor]: Taking taylor expansion of y in x
10.913 * [backup-simplify]: Simplify y into y
10.913 * [backup-simplify]: Simplify (* 0 y) into 0
10.913 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
10.914 * [backup-simplify]: Simplify (/ (log (+ (exp (/ -1 x)) 1)) y) into (/ (log (+ (exp (/ -1 x)) 1)) y)
10.914 * [backup-simplify]: Simplify (- (/ 1 (pow y 3))) into (- (/ 1 (pow y 3)))
10.914 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3)))
10.914 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
10.914 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 3))) (/ 1 (pow y 2))) into (/ -1 y)
10.914 * [taylor]: Taking taylor expansion of (/ -1 y) in y
10.914 * [taylor]: Taking taylor expansion of -1 in y
10.914 * [backup-simplify]: Simplify -1 into -1
10.914 * [taylor]: Taking taylor expansion of y in y
10.914 * [backup-simplify]: Simplify 0 into 0
10.914 * [backup-simplify]: Simplify 1 into 1
10.914 * [backup-simplify]: Simplify (/ -1 1) into -1
10.914 * [backup-simplify]: Simplify -1 into -1
10.914 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.914 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0
10.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 3))) into 0
10.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))))) into 0
10.916 * [backup-simplify]: Simplify (- 0) into 0
10.916 * [backup-simplify]: Simplify (+ 0 0) into 0
10.916 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
10.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
10.917 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
10.917 * [backup-simplify]: Simplify (+ 0 (/ (log (+ (exp (/ -1 x)) 1)) y)) into (/ (log (+ (exp (/ -1 x)) 1)) y)
10.918 * [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))
10.918 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
10.918 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
10.918 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
10.918 * [taylor]: Taking taylor expansion of (/ -1 x) in y
10.918 * [taylor]: Taking taylor expansion of -1 in y
10.918 * [backup-simplify]: Simplify -1 into -1
10.918 * [taylor]: Taking taylor expansion of x in y
10.918 * [backup-simplify]: Simplify x into x
10.918 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
10.918 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
10.918 * [taylor]: Taking taylor expansion of 1 in y
10.918 * [backup-simplify]: Simplify 1 into 1
10.918 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
10.918 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.918 * [backup-simplify]: Simplify 0 into 0
10.919 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
10.919 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
10.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 3)))) into 0
10.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
10.921 * [backup-simplify]: Simplify (- 0) into 0
10.921 * [backup-simplify]: Simplify (+ 0 0) into 0
10.921 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
10.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
10.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
10.923 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
10.923 * [backup-simplify]: Simplify (+ 0 0) into 0
10.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
10.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
10.924 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)))) into 0
10.924 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
10.924 * [backup-simplify]: Simplify (+ 0 (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
10.925 * [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
10.925 * [taylor]: Taking taylor expansion of 0 in y
10.925 * [backup-simplify]: Simplify 0 into 0
10.925 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
10.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.925 * [backup-simplify]: Simplify 0 into 0
10.926 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2)
10.926 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2)) into (pow (log (+ (exp (/ -1 x)) 1)) 3)
10.926 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
10.927 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
10.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3))))) into 0
10.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 3)) (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))) (* 0 (/ 0 (pow y 3))))) into 0
10.929 * [backup-simplify]: Simplify (- 0) into 0
10.929 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 3) 0) into (pow (log (+ (exp (/ -1 x)) 1)) 3)
10.930 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
10.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
10.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
10.931 * [backup-simplify]: Simplify (+ 0 0) into 0
10.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
10.932 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
10.932 * [backup-simplify]: Simplify (+ 0 0) into 0
10.933 * [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
10.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
10.934 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.934 * [backup-simplify]: Simplify (+ 0 0) into 0
10.935 * [backup-simplify]: Simplify (+ 0 0) into 0
10.935 * [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
10.935 * [taylor]: Taking taylor expansion of 0 in y
10.935 * [backup-simplify]: Simplify 0 into 0
10.935 * [backup-simplify]: Simplify 0 into 0
10.935 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
10.939 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
10.940 * [backup-simplify]: Simplify (+ 0 0) into 0
10.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
10.940 * [backup-simplify]: Simplify 0 into 0
10.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.941 * [backup-simplify]: Simplify 0 into 0
10.942 * [backup-simplify]: Simplify (+ 0 0) into 0
10.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
10.943 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (log (+ (exp (/ -1 x)) 1)))) into 0
10.943 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (* 0 (pow (log (+ (exp (/ -1 x)) 1)) 2))) into 0
10.944 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
10.945 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
10.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 3)))))) into 0
10.949 * [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
10.949 * [backup-simplify]: Simplify (- 0) into 0
10.949 * [backup-simplify]: Simplify (+ 0 0) into 0
10.950 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
10.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
10.952 * [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
10.953 * [backup-simplify]: Simplify (+ 0 0) into 0
10.954 * [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
10.954 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 0) (* 0 (log (+ (exp (/ -1 x)) 1))))) into 0
10.954 * [backup-simplify]: Simplify (+ 0 0) into 0
10.956 * [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
10.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
10.957 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ (log (+ (exp (/ -1 x)) 1)) y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.957 * [backup-simplify]: Simplify (+ 0 0) into 0
10.957 * [backup-simplify]: Simplify (+ 0 0) into 0
10.958 * [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
10.958 * [taylor]: Taking taylor expansion of 0 in y
10.958 * [backup-simplify]: Simplify 0 into 0
10.958 * [backup-simplify]: Simplify 0 into 0
10.958 * [backup-simplify]: Simplify 0 into 0
10.958 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y))
10.958 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2)
10.958 * [backup-simplify]: Simplify (cbrt (log1p (exp x))) into (pow (log1p (exp x)) 1/3)
10.958 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in (x) around 0
10.958 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
10.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
10.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
10.958 * [taylor]: Taking taylor expansion of 1/3 in x
10.958 * [backup-simplify]: Simplify 1/3 into 1/3
10.958 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
10.958 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
10.959 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.959 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
10.959 * [taylor]: Taking taylor expansion of 1 in x
10.959 * [backup-simplify]: Simplify 1 into 1
10.959 * [taylor]: Taking taylor expansion of (exp x) in x
10.959 * [taylor]: Taking taylor expansion of x in x
10.959 * [backup-simplify]: Simplify 0 into 0
10.959 * [backup-simplify]: Simplify 1 into 1
10.959 * [backup-simplify]: Simplify (exp 0) into 1
10.959 * [backup-simplify]: Simplify (+ 1 1) into 2
10.959 * [backup-simplify]: Simplify (log 2) into (log 2)
10.960 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
10.961 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
10.962 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
10.962 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
10.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
10.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
10.962 * [taylor]: Taking taylor expansion of 1/3 in x
10.962 * [backup-simplify]: Simplify 1/3 into 1/3
10.962 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
10.962 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
10.962 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
10.962 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
10.962 * [taylor]: Taking taylor expansion of 1 in x
10.962 * [backup-simplify]: Simplify 1 into 1
10.962 * [taylor]: Taking taylor expansion of (exp x) in x
10.962 * [taylor]: Taking taylor expansion of x in x
10.962 * [backup-simplify]: Simplify 0 into 0
10.962 * [backup-simplify]: Simplify 1 into 1
10.962 * [backup-simplify]: Simplify (exp 0) into 1
10.962 * [backup-simplify]: Simplify (+ 1 1) into 2
10.963 * [backup-simplify]: Simplify (log 2) into (log 2)
10.963 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
10.964 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
10.965 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
10.966 * [backup-simplify]: Simplify (pow (log 2) 1/3) into (pow (log 2) 1/3)
10.967 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
10.967 * [backup-simplify]: Simplify (+ 0 1) into 1
10.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
10.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2))
10.974 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2)))
10.979 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
10.982 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
10.983 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
10.984 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
10.986 * [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
11.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))
11.008 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2))))
11.022 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
11.028 * [backup-simplify]: Simplify (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
11.044 * [backup-simplify]: Simplify (+ (* (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow x 2)) (+ (* (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) x) (pow (log 2) 1/3))) into (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
11.044 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 1/3)
11.044 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in (x) around 0
11.044 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
11.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
11.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
11.044 * [taylor]: Taking taylor expansion of 1/3 in x
11.044 * [backup-simplify]: Simplify 1/3 into 1/3
11.044 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
11.044 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
11.045 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
11.045 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
11.045 * [taylor]: Taking taylor expansion of 1 in x
11.045 * [backup-simplify]: Simplify 1 into 1
11.045 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
11.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.045 * [taylor]: Taking taylor expansion of x in x
11.045 * [backup-simplify]: Simplify 0 into 0
11.045 * [backup-simplify]: Simplify 1 into 1
11.045 * [backup-simplify]: Simplify (/ 1 1) into 1
11.045 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
11.045 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
11.045 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
11.045 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
11.046 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
11.046 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
11.046 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
11.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
11.046 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
11.046 * [taylor]: Taking taylor expansion of 1/3 in x
11.046 * [backup-simplify]: Simplify 1/3 into 1/3
11.046 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
11.046 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
11.046 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
11.046 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
11.046 * [taylor]: Taking taylor expansion of 1 in x
11.046 * [backup-simplify]: Simplify 1 into 1
11.046 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
11.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.046 * [taylor]: Taking taylor expansion of x in x
11.046 * [backup-simplify]: Simplify 0 into 0
11.046 * [backup-simplify]: Simplify 1 into 1
11.047 * [backup-simplify]: Simplify (/ 1 1) into 1
11.047 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
11.047 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
11.047 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
11.047 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
11.047 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
11.047 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
11.047 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 1/3) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
11.048 * [backup-simplify]: Simplify (+ 0 0) into 0
11.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
11.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0
11.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0
11.051 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.051 * [backup-simplify]: Simplify 0 into 0
11.051 * [backup-simplify]: Simplify (+ 0 0) into 0
11.053 * [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
11.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0
11.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0
11.056 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.056 * [backup-simplify]: Simplify 0 into 0
11.057 * [backup-simplify]: Simplify (+ 0 0) into 0
11.059 * [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
11.062 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0
11.063 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0
11.064 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.064 * [backup-simplify]: Simplify 0 into 0
11.065 * [backup-simplify]: Simplify (+ 0 0) into 0
11.069 * [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
11.074 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 24) into 0
11.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))) into 0
11.078 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.078 * [backup-simplify]: Simplify 0 into 0
11.078 * [backup-simplify]: Simplify (+ 0 0) into 0
11.085 * [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
11.092 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 120) into 0
11.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))))) into 0
11.097 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.097 * [backup-simplify]: Simplify 0 into 0
11.097 * [backup-simplify]: Simplify (+ 0 0) into 0
11.106 * [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
11.113 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0
11.114 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))))) into 0
11.117 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.117 * [backup-simplify]: Simplify 0 into 0
11.117 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
11.117 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 1/3)
11.117 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in (x) around 0
11.117 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
11.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
11.117 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
11.117 * [taylor]: Taking taylor expansion of 1/3 in x
11.117 * [backup-simplify]: Simplify 1/3 into 1/3
11.117 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
11.117 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
11.118 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
11.118 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
11.118 * [taylor]: Taking taylor expansion of 1 in x
11.118 * [backup-simplify]: Simplify 1 into 1
11.118 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
11.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.118 * [taylor]: Taking taylor expansion of -1 in x
11.118 * [backup-simplify]: Simplify -1 into -1
11.118 * [taylor]: Taking taylor expansion of x in x
11.118 * [backup-simplify]: Simplify 0 into 0
11.118 * [backup-simplify]: Simplify 1 into 1
11.118 * [backup-simplify]: Simplify (/ -1 1) into -1
11.118 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
11.118 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
11.118 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
11.118 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
11.118 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
11.118 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
11.118 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
11.118 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
11.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
11.118 * [taylor]: Taking taylor expansion of 1/3 in x
11.118 * [backup-simplify]: Simplify 1/3 into 1/3
11.118 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
11.118 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
11.119 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
11.119 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
11.119 * [taylor]: Taking taylor expansion of 1 in x
11.119 * [backup-simplify]: Simplify 1 into 1
11.119 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
11.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.119 * [taylor]: Taking taylor expansion of -1 in x
11.119 * [backup-simplify]: Simplify -1 into -1
11.119 * [taylor]: Taking taylor expansion of x in x
11.119 * [backup-simplify]: Simplify 0 into 0
11.119 * [backup-simplify]: Simplify 1 into 1
11.119 * [backup-simplify]: Simplify (/ -1 1) into -1
11.119 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
11.119 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
11.119 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
11.119 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
11.119 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
11.119 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
11.119 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 1/3) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
11.120 * [backup-simplify]: Simplify (+ 0 0) into 0
11.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
11.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0
11.121 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0
11.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.122 * [backup-simplify]: Simplify 0 into 0
11.122 * [backup-simplify]: Simplify (+ 0 0) into 0
11.123 * [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
11.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0
11.124 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0
11.125 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.125 * [backup-simplify]: Simplify 0 into 0
11.126 * [backup-simplify]: Simplify (+ 0 0) into 0
11.128 * [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
11.129 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0
11.130 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0
11.131 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.131 * [backup-simplify]: Simplify 0 into 0
11.131 * [backup-simplify]: Simplify (+ 0 0) into 0
11.134 * [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
11.137 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 24) into 0
11.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))) into 0
11.139 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.139 * [backup-simplify]: Simplify 0 into 0
11.140 * [backup-simplify]: Simplify (+ 0 0) into 0
11.147 * [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
11.151 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 120) into 0
11.153 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))))) into 0
11.155 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.155 * [backup-simplify]: Simplify 0 into 0
11.155 * [backup-simplify]: Simplify (+ 0 0) into 0
11.162 * [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
11.169 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0
11.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))))) into 0
11.173 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.173 * [backup-simplify]: Simplify 0 into 0
11.173 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
11.173 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2)
11.174 * [backup-simplify]: Simplify (cbrt (log1p (exp x))) into (pow (log1p (exp x)) 1/3)
11.174 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in (x) around 0
11.174 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
11.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
11.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
11.174 * [taylor]: Taking taylor expansion of 1/3 in x
11.174 * [backup-simplify]: Simplify 1/3 into 1/3
11.174 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
11.174 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
11.174 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
11.174 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
11.174 * [taylor]: Taking taylor expansion of 1 in x
11.174 * [backup-simplify]: Simplify 1 into 1
11.174 * [taylor]: Taking taylor expansion of (exp x) in x
11.174 * [taylor]: Taking taylor expansion of x in x
11.174 * [backup-simplify]: Simplify 0 into 0
11.174 * [backup-simplify]: Simplify 1 into 1
11.174 * [backup-simplify]: Simplify (exp 0) into 1
11.174 * [backup-simplify]: Simplify (+ 1 1) into 2
11.174 * [backup-simplify]: Simplify (log 2) into (log 2)
11.175 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
11.176 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
11.177 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
11.177 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
11.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
11.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
11.177 * [taylor]: Taking taylor expansion of 1/3 in x
11.177 * [backup-simplify]: Simplify 1/3 into 1/3
11.177 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
11.177 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
11.177 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
11.177 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
11.177 * [taylor]: Taking taylor expansion of 1 in x
11.177 * [backup-simplify]: Simplify 1 into 1
11.177 * [taylor]: Taking taylor expansion of (exp x) in x
11.177 * [taylor]: Taking taylor expansion of x in x
11.177 * [backup-simplify]: Simplify 0 into 0
11.177 * [backup-simplify]: Simplify 1 into 1
11.177 * [backup-simplify]: Simplify (exp 0) into 1
11.178 * [backup-simplify]: Simplify (+ 1 1) into 2
11.178 * [backup-simplify]: Simplify (log 2) into (log 2)
11.178 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
11.179 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
11.180 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
11.181 * [backup-simplify]: Simplify (pow (log 2) 1/3) into (pow (log 2) 1/3)
11.182 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
11.182 * [backup-simplify]: Simplify (+ 0 1) into 1
11.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
11.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2))
11.188 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2)))
11.194 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
11.197 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
11.198 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
11.199 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
11.201 * [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
11.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))
11.225 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2))))
11.250 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
11.256 * [backup-simplify]: Simplify (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
11.263 * [backup-simplify]: Simplify (+ (* (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow x 2)) (+ (* (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) x) (pow (log 2) 1/3))) into (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
11.264 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 1/3)
11.264 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in (x) around 0
11.264 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
11.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
11.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
11.264 * [taylor]: Taking taylor expansion of 1/3 in x
11.264 * [backup-simplify]: Simplify 1/3 into 1/3
11.264 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
11.264 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
11.264 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
11.264 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
11.264 * [taylor]: Taking taylor expansion of 1 in x
11.264 * [backup-simplify]: Simplify 1 into 1
11.264 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
11.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.264 * [taylor]: Taking taylor expansion of x in x
11.264 * [backup-simplify]: Simplify 0 into 0
11.264 * [backup-simplify]: Simplify 1 into 1
11.264 * [backup-simplify]: Simplify (/ 1 1) into 1
11.264 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
11.264 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
11.264 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
11.264 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
11.264 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
11.264 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
11.265 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
11.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
11.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
11.265 * [taylor]: Taking taylor expansion of 1/3 in x
11.265 * [backup-simplify]: Simplify 1/3 into 1/3
11.265 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
11.265 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
11.265 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
11.265 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
11.265 * [taylor]: Taking taylor expansion of 1 in x
11.265 * [backup-simplify]: Simplify 1 into 1
11.265 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
11.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.265 * [taylor]: Taking taylor expansion of x in x
11.265 * [backup-simplify]: Simplify 0 into 0
11.265 * [backup-simplify]: Simplify 1 into 1
11.265 * [backup-simplify]: Simplify (/ 1 1) into 1
11.265 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
11.265 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
11.265 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
11.265 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
11.265 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
11.265 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
11.266 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 1/3) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
11.266 * [backup-simplify]: Simplify (+ 0 0) into 0
11.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
11.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0
11.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0
11.268 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.268 * [backup-simplify]: Simplify 0 into 0
11.268 * [backup-simplify]: Simplify (+ 0 0) into 0
11.269 * [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
11.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0
11.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0
11.271 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.271 * [backup-simplify]: Simplify 0 into 0
11.272 * [backup-simplify]: Simplify (+ 0 0) into 0
11.273 * [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
11.275 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0
11.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0
11.277 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.277 * [backup-simplify]: Simplify 0 into 0
11.277 * [backup-simplify]: Simplify (+ 0 0) into 0
11.280 * [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
11.282 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 24) into 0
11.284 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))) into 0
11.286 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify (+ 0 0) into 0
11.293 * [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
11.299 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 120) into 0
11.300 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))))) into 0
11.302 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.302 * [backup-simplify]: Simplify 0 into 0
11.302 * [backup-simplify]: Simplify (+ 0 0) into 0
11.310 * [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
11.321 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0
11.323 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))))) into 0
11.328 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.328 * [backup-simplify]: Simplify 0 into 0
11.328 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
11.328 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 1/3)
11.328 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in (x) around 0
11.328 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
11.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
11.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
11.329 * [taylor]: Taking taylor expansion of 1/3 in x
11.329 * [backup-simplify]: Simplify 1/3 into 1/3
11.329 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
11.329 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
11.329 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
11.329 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
11.329 * [taylor]: Taking taylor expansion of 1 in x
11.329 * [backup-simplify]: Simplify 1 into 1
11.329 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
11.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.329 * [taylor]: Taking taylor expansion of -1 in x
11.329 * [backup-simplify]: Simplify -1 into -1
11.329 * [taylor]: Taking taylor expansion of x in x
11.329 * [backup-simplify]: Simplify 0 into 0
11.329 * [backup-simplify]: Simplify 1 into 1
11.329 * [backup-simplify]: Simplify (/ -1 1) into -1
11.329 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
11.329 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
11.330 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
11.330 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
11.330 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
11.330 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
11.330 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
11.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
11.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
11.330 * [taylor]: Taking taylor expansion of 1/3 in x
11.330 * [backup-simplify]: Simplify 1/3 into 1/3
11.330 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
11.330 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
11.330 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
11.330 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
11.330 * [taylor]: Taking taylor expansion of 1 in x
11.330 * [backup-simplify]: Simplify 1 into 1
11.330 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
11.330 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.330 * [taylor]: Taking taylor expansion of -1 in x
11.330 * [backup-simplify]: Simplify -1 into -1
11.330 * [taylor]: Taking taylor expansion of x in x
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [backup-simplify]: Simplify 1 into 1
11.331 * [backup-simplify]: Simplify (/ -1 1) into -1
11.331 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
11.331 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
11.331 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
11.331 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
11.331 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
11.331 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
11.332 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 1/3) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
11.332 * [backup-simplify]: Simplify (+ 0 0) into 0
11.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
11.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0
11.334 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0
11.335 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.335 * [backup-simplify]: Simplify 0 into 0
11.335 * [backup-simplify]: Simplify (+ 0 0) into 0
11.337 * [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
11.343 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0
11.344 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0
11.345 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.345 * [backup-simplify]: Simplify 0 into 0
11.346 * [backup-simplify]: Simplify (+ 0 0) into 0
11.349 * [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
11.351 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0
11.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0
11.354 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.354 * [backup-simplify]: Simplify 0 into 0
11.355 * [backup-simplify]: Simplify (+ 0 0) into 0
11.360 * [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
11.365 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 24) into 0
11.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))) into 0
11.369 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.369 * [backup-simplify]: Simplify 0 into 0
11.370 * [backup-simplify]: Simplify (+ 0 0) into 0
11.378 * [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
11.384 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 120) into 0
11.385 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))))) into 0
11.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.388 * [backup-simplify]: Simplify 0 into 0
11.388 * [backup-simplify]: Simplify (+ 0 0) into 0
11.395 * [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
11.402 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0
11.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))))) into 0
11.407 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.407 * [backup-simplify]: Simplify 0 into 0
11.407 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
11.407 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1)
11.407 * [backup-simplify]: Simplify (cbrt (log1p (exp x))) into (pow (log1p (exp x)) 1/3)
11.407 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in (x) around 0
11.407 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
11.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
11.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
11.407 * [taylor]: Taking taylor expansion of 1/3 in x
11.407 * [backup-simplify]: Simplify 1/3 into 1/3
11.407 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
11.407 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
11.408 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
11.408 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
11.408 * [taylor]: Taking taylor expansion of 1 in x
11.408 * [backup-simplify]: Simplify 1 into 1
11.408 * [taylor]: Taking taylor expansion of (exp x) in x
11.408 * [taylor]: Taking taylor expansion of x in x
11.408 * [backup-simplify]: Simplify 0 into 0
11.408 * [backup-simplify]: Simplify 1 into 1
11.408 * [backup-simplify]: Simplify (exp 0) into 1
11.408 * [backup-simplify]: Simplify (+ 1 1) into 2
11.408 * [backup-simplify]: Simplify (log 2) into (log 2)
11.409 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
11.410 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
11.411 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
11.411 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x
11.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x
11.411 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x
11.411 * [taylor]: Taking taylor expansion of 1/3 in x
11.411 * [backup-simplify]: Simplify 1/3 into 1/3
11.411 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x
11.411 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
11.411 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
11.411 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
11.411 * [taylor]: Taking taylor expansion of 1 in x
11.411 * [backup-simplify]: Simplify 1 into 1
11.411 * [taylor]: Taking taylor expansion of (exp x) in x
11.411 * [taylor]: Taking taylor expansion of x in x
11.411 * [backup-simplify]: Simplify 0 into 0
11.411 * [backup-simplify]: Simplify 1 into 1
11.411 * [backup-simplify]: Simplify (exp 0) into 1
11.412 * [backup-simplify]: Simplify (+ 1 1) into 2
11.412 * [backup-simplify]: Simplify (log 2) into (log 2)
11.412 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2))
11.413 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2)))
11.414 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3)
11.415 * [backup-simplify]: Simplify (pow (log 2) 1/3) into (pow (log 2) 1/3)
11.416 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
11.416 * [backup-simplify]: Simplify (+ 0 1) into 1
11.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
11.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2))
11.422 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2)))
11.428 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
11.430 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3))
11.431 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
11.431 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
11.433 * [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
11.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))
11.452 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2))))
11.465 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
11.470 * [backup-simplify]: Simplify (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2)))))
11.477 * [backup-simplify]: Simplify (+ (* (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow x 2)) (+ (* (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) x) (pow (log 2) 1/3))) into (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
11.477 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 1/3)
11.477 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in (x) around 0
11.477 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
11.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
11.477 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
11.477 * [taylor]: Taking taylor expansion of 1/3 in x
11.477 * [backup-simplify]: Simplify 1/3 into 1/3
11.477 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
11.477 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
11.477 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
11.477 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
11.477 * [taylor]: Taking taylor expansion of 1 in x
11.477 * [backup-simplify]: Simplify 1 into 1
11.477 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
11.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.477 * [taylor]: Taking taylor expansion of x in x
11.477 * [backup-simplify]: Simplify 0 into 0
11.478 * [backup-simplify]: Simplify 1 into 1
11.478 * [backup-simplify]: Simplify (/ 1 1) into 1
11.478 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
11.478 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
11.478 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
11.478 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
11.478 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
11.478 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
11.478 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x
11.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x
11.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x
11.478 * [taylor]: Taking taylor expansion of 1/3 in x
11.478 * [backup-simplify]: Simplify 1/3 into 1/3
11.478 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x
11.478 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
11.478 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
11.478 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
11.478 * [taylor]: Taking taylor expansion of 1 in x
11.478 * [backup-simplify]: Simplify 1 into 1
11.478 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
11.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.478 * [taylor]: Taking taylor expansion of x in x
11.478 * [backup-simplify]: Simplify 0 into 0
11.478 * [backup-simplify]: Simplify 1 into 1
11.479 * [backup-simplify]: Simplify (/ 1 1) into 1
11.479 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
11.479 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
11.479 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
11.479 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1)))
11.479 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))
11.479 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
11.479 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 1/3) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3)
11.479 * [backup-simplify]: Simplify (+ 0 0) into 0
11.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
11.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0
11.481 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0
11.481 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.481 * [backup-simplify]: Simplify 0 into 0
11.482 * [backup-simplify]: Simplify (+ 0 0) into 0
11.483 * [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
11.484 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0
11.485 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0
11.487 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.487 * [backup-simplify]: Simplify 0 into 0
11.487 * [backup-simplify]: Simplify (+ 0 0) into 0
11.490 * [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
11.493 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0
11.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0
11.495 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.495 * [backup-simplify]: Simplify 0 into 0
11.496 * [backup-simplify]: Simplify (+ 0 0) into 0
11.500 * [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
11.503 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 24) into 0
11.504 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))) into 0
11.505 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.505 * [backup-simplify]: Simplify 0 into 0
11.505 * [backup-simplify]: Simplify (+ 0 0) into 0
11.510 * [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
11.514 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 120) into 0
11.515 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))))) into 0
11.517 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.518 * [backup-simplify]: Simplify 0 into 0
11.518 * [backup-simplify]: Simplify (+ 0 0) into 0
11.526 * [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
11.539 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0
11.541 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))))) into 0
11.547 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.547 * [backup-simplify]: Simplify 0 into 0
11.547 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
11.547 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 1/3)
11.547 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in (x) around 0
11.547 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
11.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
11.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
11.547 * [taylor]: Taking taylor expansion of 1/3 in x
11.547 * [backup-simplify]: Simplify 1/3 into 1/3
11.547 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
11.547 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
11.547 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
11.547 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
11.547 * [taylor]: Taking taylor expansion of 1 in x
11.547 * [backup-simplify]: Simplify 1 into 1
11.547 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
11.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.547 * [taylor]: Taking taylor expansion of -1 in x
11.547 * [backup-simplify]: Simplify -1 into -1
11.547 * [taylor]: Taking taylor expansion of x in x
11.548 * [backup-simplify]: Simplify 0 into 0
11.548 * [backup-simplify]: Simplify 1 into 1
11.548 * [backup-simplify]: Simplify (/ -1 1) into -1
11.548 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
11.548 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
11.548 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
11.548 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
11.548 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
11.549 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
11.549 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x
11.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x
11.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x
11.549 * [taylor]: Taking taylor expansion of 1/3 in x
11.549 * [backup-simplify]: Simplify 1/3 into 1/3
11.549 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x
11.549 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
11.549 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
11.549 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
11.549 * [taylor]: Taking taylor expansion of 1 in x
11.549 * [backup-simplify]: Simplify 1 into 1
11.549 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
11.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.549 * [taylor]: Taking taylor expansion of -1 in x
11.549 * [backup-simplify]: Simplify -1 into -1
11.549 * [taylor]: Taking taylor expansion of x in x
11.549 * [backup-simplify]: Simplify 0 into 0
11.549 * [backup-simplify]: Simplify 1 into 1
11.550 * [backup-simplify]: Simplify (/ -1 1) into -1
11.550 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
11.550 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
11.550 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
11.550 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1)))
11.550 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))
11.550 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
11.550 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 1/3) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3)
11.551 * [backup-simplify]: Simplify (+ 0 0) into 0
11.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
11.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0
11.553 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0
11.554 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.554 * [backup-simplify]: Simplify 0 into 0
11.554 * [backup-simplify]: Simplify (+ 0 0) into 0
11.556 * [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
11.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0
11.558 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0
11.559 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.559 * [backup-simplify]: Simplify 0 into 0
11.560 * [backup-simplify]: Simplify (+ 0 0) into 0
11.561 * [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
11.563 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0
11.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0
11.565 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.565 * [backup-simplify]: Simplify 0 into 0
11.565 * [backup-simplify]: Simplify (+ 0 0) into 0
11.568 * [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
11.571 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 24) into 0
11.572 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))) into 0
11.573 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.573 * [backup-simplify]: Simplify 0 into 0
11.573 * [backup-simplify]: Simplify (+ 0 0) into 0
11.578 * [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
11.582 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 120) into 0
11.583 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))))) into 0
11.585 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
11.585 * [backup-simplify]: Simplify 0 into 0
11.586 * [backup-simplify]: Simplify (+ 0 0) into 0
11.594 * [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
11.602 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0
11.604 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))))) into 0
11.607 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.607 * [backup-simplify]: Simplify 0 into 0
11.607 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3)
11.607 * * * [progress]: simplifying candidates
11.607 * * * * [progress]: [ 1 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.607 * * * * [progress]: [ 2 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.607 * * * * [progress]: [ 3 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) 1))>
11.607 * * * * [progress]: [ 4 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.607 * * * * [progress]: [ 5 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 6 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 7 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp 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))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 8 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 9 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 10 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 11 / 93 ] 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)))))))>
11.608 * * * * [progress]: [ 12 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y 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)))))))>
11.608 * * * * [progress]: [ 13 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 14 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 15 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))>
11.608 * * * * [progress]: [ 16 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 17 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 18 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))>
11.608 * * * * [progress]: [ 19 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))) (/ (- (log1p (exp x)) (* y x)) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 20 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))) (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 21 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))>
11.608 * * * * [progress]: [ 22 / 93 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.608 * * * * [progress]: [ 23 / 93 ] simplifiying candidate #<alt (λ (x y) (* (/ 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.609 * * * * [progress]: [ 24 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))>
11.609 * * * * [progress]: [ 25 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))>
11.609 * * * * [progress]: [ 26 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))>
11.609 * * * * [progress]: [ 27 / 93 ] simplifiying candidate #<alt (λ (x y) (/ 1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))))>
11.609 * * * * [progress]: [ 28 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))>
11.609 * * * * [progress]: [ 29 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))>
11.609 * * * * [progress]: [ 30 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.609 * * * * [progress]: [ 31 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))))>
11.609 * * * * [progress]: [ 32 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))))>
11.609 * * * * [progress]: [ 33 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))) (- (log1p (exp x)) (* y x)))))>
11.609 * * * * [progress]: [ 34 / 93 ] simplifiying candidate #<alt (λ (x y) (/ 1 (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))))>
11.609 * * * * [progress]: [ 35 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))) 3))) (+ (* (* (log1p (exp x)) (log1p (exp 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))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp 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))))))))>
11.609 * * * * [progress]: [ 36 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp 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))))))>
11.609 * * * * [progress]: [ 37 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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))))))))>
11.609 * * * * [progress]: [ 38 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))) (+ (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))))>
11.609 * * * * [progress]: [ 39 / 93 ] 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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))))>
11.609 * * * * [progress]: [ 40 / 93 ] 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)))) (log1p (expm1 (cbrt (log1p (exp x)))))) (* y x))))))>
11.609 * * * * [progress]: [ 41 / 93 ] 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)))) (expm1 (log1p (cbrt (log1p (exp x)))))) (* y x))))))>
11.610 * * * * [progress]: [ 42 / 93 ] 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)))) (pow (log1p (exp x)) 1/3)) (* y x))))))>
11.610 * * * * [progress]: [ 43 / 93 ] 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)))) (pow (cbrt (log1p (exp x))) 1)) (* y x))))))>
11.610 * * * * [progress]: [ 44 / 93 ] 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)))) (exp (log (cbrt (log1p (exp x)))))) (* y x))))))>
11.610 * * * * [progress]: [ 45 / 93 ] 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)))) (log (exp (cbrt (log1p (exp x)))))) (* y x))))))>
11.610 * * * * [progress]: [ 46 / 93 ] 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 (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))))) (* y x))))))>
11.610 * * * * [progress]: [ 47 / 93 ] 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 (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))))) (* y x))))))>
11.610 * * * * [progress]: [ 48 / 93 ] 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 1) (cbrt (log1p (exp x))))) (* y x))))))>
11.610 * * * * [progress]: [ 49 / 93 ] 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 (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))))) (* y x))))))>
11.610 * * * * [progress]: [ 50 / 93 ] 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 (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))))) (* y x))))))>
11.610 * * * * [progress]: [ 51 / 93 ] 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)))) (* (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))))) (* y x))))))>
11.610 * * * * [progress]: [ 52 / 93 ] 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)))) (* 1 (cbrt (log1p (exp x))))) (* y x))))))>
11.610 * * * * [progress]: [ 53 / 93 ] 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)))) (posit16->real (real->posit16 (cbrt (log1p (exp x)))))) (* y x))))))>
11.610 * * * * [progress]: [ 54 / 93 ] 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 (expm1 (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.610 * * * * [progress]: [ 55 / 93 ] 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))) (expm1 (log1p (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.610 * * * * [progress]: [ 56 / 93 ] 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))) (pow (log1p (exp x)) 1/3)) (cbrt (log1p (exp x)))) (* y x))))))>
11.610 * * * * [progress]: [ 57 / 93 ] 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))) (pow (cbrt (log1p (exp x))) 1)) (cbrt (log1p (exp x)))) (* y x))))))>
11.610 * * * * [progress]: [ 58 / 93 ] 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))) (exp (log (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.610 * * * * [progress]: [ 59 / 93 ] 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))) (log (exp (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.610 * * * * [progress]: [ 60 / 93 ] 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 (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.610 * * * * [progress]: [ 61 / 93 ] 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 (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 62 / 93 ] 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 1) (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 63 / 93 ] 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 (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 64 / 93 ] 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 (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 65 / 93 ] 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))) (* (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 66 / 93 ] 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))) (* 1 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 67 / 93 ] 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))) (posit16->real (real->posit16 (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 68 / 93 ] 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 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 69 / 93 ] 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 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 70 / 93 ] 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)) 1/3) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 71 / 93 ] 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 (cbrt (log1p (exp x))) 1) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 72 / 93 ] 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 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 73 / 93 ] 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 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 74 / 93 ] 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 (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 75 / 93 ] 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 (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 76 / 93 ] 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 1) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 77 / 93 ] 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 (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 78 / 93 ] 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 (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 79 / 93 ] 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 (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 80 / 93 ] 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 (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 81 / 93 ] 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 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.611 * * * * [progress]: [ 82 / 93 ] simplifiying candidate #<alt (λ (x y) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))>
11.612 * * * * [progress]: [ 83 / 93 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
11.612 * * * * [progress]: [ 84 / 93 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
11.612 * * * * [progress]: [ 85 / 93 ] 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)))) (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))) (* y x))))))>
11.612 * * * * [progress]: [ 86 / 93 ] 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)))) (pow (log (+ (exp x) 1)) 1/3)) (* y x))))))>
11.612 * * * * [progress]: [ 87 / 93 ] 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)))) (pow (log (+ (exp x) 1)) 1/3)) (* y x))))))>
11.612 * * * * [progress]: [ 88 / 93 ] 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))) (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))) (cbrt (log1p (exp x)))) (* y x))))))>
11.612 * * * * [progress]: [ 89 / 93 ] 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))) (pow (log (+ (exp x) 1)) 1/3)) (cbrt (log1p (exp x)))) (* y x))))))>
11.612 * * * * [progress]: [ 90 / 93 ] 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))) (pow (log (+ (exp x) 1)) 1/3)) (cbrt (log1p (exp x)))) (* y x))))))>
11.612 * * * * [progress]: [ 91 / 93 ] 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)) (* (* (* (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2)))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.612 * * * * [progress]: [ 92 / 93 ] 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 (log (+ (exp x) 1)) 1/3) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.612 * * * * [progress]: [ 93 / 93 ] 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 (log (+ (exp x) 1)) 1/3) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))>
11.613 * [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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp 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))))) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))
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  (* (* (/ (- (* (* (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))))) (/ (- (* (* (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)))))) (/ (- (* (* (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))))))
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  (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))
  (- (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))))
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  (/ (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp 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)))))
  (/ (* (* (* 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)))))
  (/ (* (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))
  (/ (- (log1p (exp x)) (* y x)) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))
  (/ (- (log1p (exp x)) (* y x)) (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))
  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))) 1)
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  (/ 1 (* (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))))
  (/ 1 (sqrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))
  (/ 1 (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp 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)))) (- (* (* (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))))) (cbrt (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))))))
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  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) 1)
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  (/ (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (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)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x))) (+ (* (* y x) (* y x)) (* (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp 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)))) (+ (* (* (* (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))))))
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  (real->posit16 (cbrt (log1p (exp x))))
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (log (cbrt (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt 1)
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (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))
  (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
  (pow (log (+ (exp x) 1)) 1/3)
  (pow (log (+ (exp x) 1)) 1/3)
  (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
  (pow (log (+ (exp x) 1)) 1/3)
  (pow (log (+ (exp x) 1)) 1/3)
  (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2))))
  (pow (log (+ (exp x) 1)) 1/3)
  (pow (log (+ (exp x) 1)) 1/3)
11.616 * * [simplify]: iteration 0: 143 enodes
11.644 * * [simplify]: iteration 1: 388 enodes
11.766 * * [simplify]: iteration 2: 2014 enodes
12.471 * * [simplify]: iteration complete: 5001 enodes
12.471 * * [simplify]: Extracting #0: cost 62 inf + 0
12.472 * * [simplify]: Extracting #1: cost 383 inf + 1
12.481 * * [simplify]: Extracting #2: cost 1100 inf + 1043
12.489 * * [simplify]: Extracting #3: cost 1418 inf + 17705
12.512 * * [simplify]: Extracting #4: cost 981 inf + 155220
12.583 * * [simplify]: Extracting #5: cost 279 inf + 440375
12.739 * * [simplify]: Extracting #6: cost 93 inf + 523626
12.905 * * [simplify]: Extracting #7: cost 25 inf + 556005
13.070 * * [simplify]: Extracting #8: cost 4 inf + 563808
13.221 * * [simplify]: Extracting #9: cost 0 inf + 565299
13.371 * [simplify]: Simplified to:
  (expm1 (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (log1p (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (log (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (log (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (exp (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (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 x) (+ (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 x) (+ (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 x) (+ (log1p (exp x)) (* y x))))))
  (* (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))) (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))))
  (cbrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (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 x) (+ (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 x) (+ (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 x) (+ (log1p (exp x)) (* y x))))))
  (sqrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (sqrt (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (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 x) (+ (log1p (exp x)) (* y x)))))
  (/ (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))
  (/ (* (* y x) (* y x)) (/ (fma (log1p (exp x)) (log1p (exp x)) (* (* y 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 (log1p (exp x)) (log1p (exp 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 (fma (log1p (exp x)) (log1p (exp 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 (fma (log1p (exp x)) (log1p (exp 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 (fma (log1p (exp x)) (log1p (exp 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 (fma (log1p (exp x)) (log1p (exp 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))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (fma (log1p (exp x)) (log1p (exp 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 (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))) (cbrt (fma (log1p (exp x)) (log1p (exp 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 (fma (log1p (exp x)) (log1p (exp 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 (fma (log1p (exp x)) (log1p (exp 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 (fma (log1p (exp x)) (log1p (exp 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))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))
  (/ (/ (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))) (cbrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))) (cbrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (/ (- (log1p (exp x)) (* y x)) (cbrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (/ (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))) (sqrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (/ (- (log1p (exp x)) (* y x)) (sqrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))
  (/ (- (log1p (exp x)) (* y x)) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))
  (/ (/ 1 (cbrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))) (cbrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (cbrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (/ 1 (sqrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  1
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))
  (/ 1 (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))
  (/ (fma (log1p (exp x)) (log1p (exp 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 (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))))) (cbrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (/ (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x))) (sqrt (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (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 x) (+ (log1p (exp x)) (* y x)))) (cbrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))
  (/ (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))) (sqrt (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* (* y x) (* y x)) (* y x)))))
  (/ (fma (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x)))) (- (log1p (exp x)) (* y x)))
  (/ (fma (log1p (exp x)) (log1p (exp 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))) (fma (* (* (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))) (* (* (* y 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)) (log1p (exp x)))) (* (* (* y x) (+ (log1p (exp x)) (* y x))) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (fma (* (* y x) (+ (log1p (exp x)) (* y 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))))) (* (* (log1p (exp 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 (* (log1p (exp x)) (log1p (exp x))) (fma (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)) (* (* (* y x) (* y x)) (* y x))) (* (* (* y x) (+ (log1p (exp 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 (log1p (exp x)) (log1p (exp x)) (* (* y x) (+ (log1p (exp x)) (* y x))))))
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (* 1/3 (log (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  1
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (log1p (exp x))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (log1p (exp x))))
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (* 1/3 (log (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  1
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (log1p (exp x))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (log1p (exp x))))
  (expm1 (cbrt (log1p (exp x))))
  (log1p (cbrt (log1p (exp x))))
  (* 1/3 (log (log1p (exp x))))
  (exp (cbrt (log1p (exp x))))
  (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  (cbrt (sqrt (log1p (exp x))))
  1
  (cbrt (log1p (exp x)))
  (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x)))))
  (cbrt (cbrt (log1p (exp x))))
  (log1p (exp x))
  (sqrt (cbrt (log1p (exp x))))
  (sqrt (cbrt (log1p (exp x))))
  (real->posit16 (cbrt (log1p (exp x))))
  (fma (* x x) 1/8 (fma 1/2 x (log 2)))
  (- (log1p (exp x)) (* y x))
  (- (log1p (exp x)) (* y x))
  (fma (* (cbrt (/ 1 (pow (log 2) 5))) (* x x)) -1/36 (fma (cbrt (/ (/ 1 (log 2)) (log 2))) (* x 1/6) (fma (* 1/24 (* x x)) (cbrt (/ (/ 1 (log 2)) (log 2))) (cbrt (log 2)))))
  (cbrt (log1p (exp x)))
  (cbrt (log1p (exp x)))
  (fma (* (cbrt (/ 1 (pow (log 2) 5))) (* x x)) -1/36 (fma (cbrt (/ (/ 1 (log 2)) (log 2))) (* x 1/6) (fma (* 1/24 (* x x)) (cbrt (/ (/ 1 (log 2)) (log 2))) (cbrt (log 2)))))
  (cbrt (log1p (exp x)))
  (cbrt (log1p (exp x)))
  (fma (* (cbrt (/ 1 (pow (log 2) 5))) (* x x)) -1/36 (fma (cbrt (/ (/ 1 (log 2)) (log 2))) (* x 1/6) (fma (* 1/24 (* x x)) (cbrt (/ (/ 1 (log 2)) (log 2))) (cbrt (log 2)))))
  (cbrt (log1p (exp x)))
  (cbrt (log1p (exp x)))
13.399 * * * [progress]: adding candidates to table
13.981 * [progress]: [Phase 3 of 3] Extracting.
13.981 * * [regime]: Finding splitpoints for: (#<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))) (/ 1 (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))> #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))> #<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))))))>)
13.983 * * * [regime-changes]: Trying 2 branch expressions: (y x)
13.983 * * * * [regimes]: Trying to branch on y from (#<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))) (/ 1 (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))> #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))> #<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))))))>)
14.045 * * * * [regimes]: Trying to branch on x from (#<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))) (/ 1 (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))> #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))> #<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))))))>)
14.104 * * * [regime]: Found split indices: #<option (#s(si 2 62) #s(si 0 252) #s(si 2 255))>
14.105 * [binary-search]: Improving bounds with binary search for x and (#<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))) (/ 1 (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))> #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))> #<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))))))>)
14.257 * [regimes]: Found splitpoints: (#s(sp 2 x -16179825.06434172) #s(sp 0 x 8.70864822876016e-07) #s(sp 2 x +nan.0)) , with alts (#<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))) (/ 1 (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))))> #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))> #<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))))))>)
14.258 * [simplify]: Simplifying:
  (if (<= x -16179825.06434172) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))) (if (<= x 8.70864822876016e-07) (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))))
14.258 * * [simplify]: iteration 0: 22 enodes
14.260 * * [simplify]: iteration 1: 30 enodes
14.262 * * [simplify]: iteration 2: 32 enodes
14.265 * * [simplify]: iteration complete: 32 enodes
14.265 * * [simplify]: Extracting #0: cost 1 inf + 0
14.265 * * [simplify]: Extracting #1: cost 6 inf + 0
14.265 * * [simplify]: Extracting #2: cost 15 inf + 0
14.265 * * [simplify]: Extracting #3: cost 20 inf + 2
14.265 * * [simplify]: Extracting #4: cost 19 inf + 194
14.265 * * [simplify]: Extracting #5: cost 10 inf + 820
14.266 * * [simplify]: Extracting #6: cost 5 inf + 1779
14.266 * * [simplify]: Extracting #7: cost 3 inf + 2216
14.267 * * [simplify]: Extracting #8: cost 0 inf + 4289
14.268 * * [simplify]: Extracting #9: cost 0 inf + 4234
14.269 * [simplify]: Simplified to:
  (if (<= x -16179825.06434172) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (* y (- x))) (if (<= x 8.70864822876016e-07) (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (* y (- x)))))
18.926 * [regime-testing]: Baseline error score: 1.4994951146414035
18.929 * [regime-testing]: Oracle error score: 0.21148774639021148
18.935 * [regime-testing]: End program error score: 0.7518742329108964
19.066 * [regime-testing]: Target error score: 0.03361281459981279