29.418 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.098 * * * [progress]: [2/2] Setting up program.
0.103 * [progress]: [Phase 2 of 3] Improving.
0.103 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (- (log (+ 1 (exp x))) (* x y)))>
0.104 * [simplify]: Simplifying:
  (- (log (+ 1 (exp x))) (* x y))
0.104 * * [simplify]: iteration 0: 8 enodes
0.106 * * [simplify]: iteration 1: 15 enodes
0.110 * * [simplify]: iteration 2: 22 enodes
0.115 * * [simplify]: iteration 3: 26 enodes
0.121 * * [simplify]: iteration complete: 26 enodes
0.121 * * [simplify]: Extracting #0: cost 1 inf + 0
0.121 * * [simplify]: Extracting #1: cost 8 inf + 0
0.122 * * [simplify]: Extracting #2: cost 5 inf + 167
0.122 * * [simplify]: Extracting #3: cost 4 inf + 279
0.122 * * [simplify]: Extracting #4: cost 1 inf + 683
0.122 * * [simplify]: Extracting #5: cost 0 inf + 795
0.123 * [simplify]: Simplified to:
  (- (log1p (exp x)) (* y x))
0.130 * * [progress]: iteration 1 / 4
0.130 * * * [progress]: picking best candidate
0.132 * * * * [pick]: Picked  #<alt (λ (x y) (- (log1p (exp x)) (* y x)))>
0.132 * * * [progress]: localizing error
0.143 * * * [progress]: generating rewritten candidates
0.143 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.149 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.150 * * * [progress]: generating series expansions
0.150 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.150 * [backup-simplify]: Simplify (- (log1p (exp x)) (* y x)) into (- (log1p (exp x)) (* x y))
0.150 * [approximate]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in (x y) around 0
0.150 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in y
0.150 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y
0.151 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.151 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y
0.151 * [taylor]: Taking taylor expansion of 1 in y
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [taylor]: Taking taylor expansion of (exp x) in y
0.151 * [taylor]: Taking taylor expansion of x in y
0.151 * [backup-simplify]: Simplify x into x
0.151 * [backup-simplify]: Simplify (exp x) into (exp x)
0.151 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1)
0.151 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1))
0.151 * [taylor]: Taking taylor expansion of (* x y) in y
0.151 * [taylor]: Taking taylor expansion of x in y
0.151 * [backup-simplify]: Simplify x into x
0.151 * [taylor]: Taking taylor expansion of y in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x
0.151 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.151 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.151 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.151 * [taylor]: Taking taylor expansion of 1 in x
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [taylor]: Taking taylor expansion of (exp x) in x
0.151 * [taylor]: Taking taylor expansion of x in x
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (exp 0) into 1
0.152 * [backup-simplify]: Simplify (+ 1 1) into 2
0.152 * [backup-simplify]: Simplify (log 2) into (log 2)
0.152 * [taylor]: Taking taylor expansion of (* x y) in x
0.152 * [taylor]: Taking taylor expansion of x in x
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [taylor]: Taking taylor expansion of y in x
0.153 * [backup-simplify]: Simplify y into y
0.153 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x
0.153 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.153 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.153 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.153 * [taylor]: Taking taylor expansion of 1 in x
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [taylor]: Taking taylor expansion of (exp x) in x
0.153 * [taylor]: Taking taylor expansion of x in x
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (exp 0) into 1
0.153 * [backup-simplify]: Simplify (+ 1 1) into 2
0.154 * [backup-simplify]: Simplify (log 2) into (log 2)
0.154 * [taylor]: Taking taylor expansion of (* x y) in x
0.154 * [taylor]: Taking taylor expansion of x in x
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [taylor]: Taking taylor expansion of y in x
0.154 * [backup-simplify]: Simplify y into y
0.154 * [backup-simplify]: Simplify (* 0 y) into 0
0.154 * [backup-simplify]: Simplify (- 0) into 0
0.155 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2)
0.155 * [taylor]: Taking taylor expansion of (log 2) in y
0.155 * [taylor]: Taking taylor expansion of 2 in y
0.155 * [backup-simplify]: Simplify 2 into 2
0.156 * [backup-simplify]: Simplify (log 2) into (log 2)
0.156 * [backup-simplify]: Simplify (log 2) into (log 2)
0.157 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
0.158 * [backup-simplify]: Simplify (+ 0 1) into 1
0.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
0.159 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.159 * [backup-simplify]: Simplify (- y) into (- y)
0.160 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y)
0.160 * [taylor]: Taking taylor expansion of (- 1/2 y) in y
0.160 * [taylor]: Taking taylor expansion of 1/2 in y
0.160 * [backup-simplify]: Simplify 1/2 into 1/2
0.160 * [taylor]: Taking taylor expansion of y in y
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (- 0) into 0
0.160 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.161 * [backup-simplify]: Simplify 1/2 into 1/2
0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
0.164 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.166 * [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
0.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.167 * [backup-simplify]: Simplify (- 0) into 0
0.167 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
0.167 * [taylor]: Taking taylor expansion of 1/8 in y
0.167 * [backup-simplify]: Simplify 1/8 into 1/8
0.167 * [backup-simplify]: Simplify 1/8 into 1/8
0.167 * [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))))
0.168 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) into (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))
0.168 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in (x y) around 0
0.168 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in y
0.168 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y
0.168 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.168 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y
0.168 * [taylor]: Taking taylor expansion of 1 in y
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.168 * [taylor]: Taking taylor expansion of x in y
0.168 * [backup-simplify]: Simplify x into x
0.168 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.168 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.168 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.168 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.168 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.168 * [taylor]: Taking taylor expansion of (* x y) in y
0.168 * [taylor]: Taking taylor expansion of x in y
0.168 * [backup-simplify]: Simplify x into x
0.168 * [taylor]: Taking taylor expansion of y in y
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (* x 0) into 0
0.169 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.169 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.169 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x
0.169 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.169 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.169 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.169 * [taylor]: Taking taylor expansion of 1 in x
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.169 * [taylor]: Taking taylor expansion of x in x
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.169 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.169 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.169 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.169 * [taylor]: Taking taylor expansion of (* x y) in x
0.169 * [taylor]: Taking taylor expansion of x in x
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [taylor]: Taking taylor expansion of y in x
0.169 * [backup-simplify]: Simplify y into y
0.169 * [backup-simplify]: Simplify (* 0 y) into 0
0.170 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.170 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x
0.170 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.170 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.170 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.170 * [taylor]: Taking taylor expansion of 1 in x
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.170 * [taylor]: Taking taylor expansion of x in x
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (/ 1 1) into 1
0.170 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.170 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.170 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.170 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.170 * [taylor]: Taking taylor expansion of (* x y) in x
0.170 * [taylor]: Taking taylor expansion of x in x
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [taylor]: Taking taylor expansion of y in x
0.171 * [backup-simplify]: Simplify y into y
0.171 * [backup-simplify]: Simplify (* 0 y) into 0
0.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.182 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.182 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.182 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.182 * [taylor]: Taking taylor expansion of y in y
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.183 * [backup-simplify]: Simplify (- 1) into -1
0.183 * [backup-simplify]: Simplify -1 into -1
0.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.185 * [backup-simplify]: Simplify (- 0) into 0
0.185 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1))
0.185 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y
0.185 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y
0.185 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y
0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.185 * [taylor]: Taking taylor expansion of x in y
0.185 * [backup-simplify]: Simplify x into x
0.185 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.185 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.185 * [taylor]: Taking taylor expansion of 1 in y
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1)
0.185 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (- 0) into 0
0.186 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify (+ 0 0) into 0
0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
0.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.190 * [backup-simplify]: Simplify (- 0) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [taylor]: Taking taylor expansion of 0 in y
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (- 0) into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [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
0.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.196 * [backup-simplify]: Simplify (- 0) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [taylor]: Taking taylor expansion of 0 in y
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.198 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (- 0) into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [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
0.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.206 * [backup-simplify]: Simplify (- 0) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [taylor]: Taking taylor expansion of 0 in y
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y))
0.207 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) into (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))
0.207 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in (x y) around 0
0.207 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in y
0.207 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y
0.207 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.207 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y
0.207 * [taylor]: Taking taylor expansion of 1 in y
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
0.207 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.207 * [taylor]: Taking taylor expansion of -1 in y
0.207 * [backup-simplify]: Simplify -1 into -1
0.207 * [taylor]: Taking taylor expansion of x in y
0.207 * [backup-simplify]: Simplify x into x
0.207 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.208 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.208 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.208 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.208 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.208 * [taylor]: Taking taylor expansion of (* x y) in y
0.208 * [taylor]: Taking taylor expansion of x in y
0.208 * [backup-simplify]: Simplify x into x
0.208 * [taylor]: Taking taylor expansion of y in y
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (* x 0) into 0
0.208 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.208 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.209 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x
0.209 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.209 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.209 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.209 * [taylor]: Taking taylor expansion of 1 in x
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.209 * [taylor]: Taking taylor expansion of -1 in x
0.209 * [backup-simplify]: Simplify -1 into -1
0.209 * [taylor]: Taking taylor expansion of x in x
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (/ -1 1) into -1
0.209 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.209 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.210 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.210 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.210 * [taylor]: Taking taylor expansion of (* x y) in x
0.210 * [taylor]: Taking taylor expansion of x in x
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.210 * [taylor]: Taking taylor expansion of y in x
0.210 * [backup-simplify]: Simplify y into y
0.210 * [backup-simplify]: Simplify (* 0 y) into 0
0.210 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.210 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.210 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x
0.210 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x
0.210 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x))))
0.210 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x
0.210 * [taylor]: Taking taylor expansion of 1 in x
0.210 * [backup-simplify]: Simplify 1 into 1
0.210 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.210 * [taylor]: Taking taylor expansion of -1 in x
0.211 * [backup-simplify]: Simplify -1 into -1
0.211 * [taylor]: Taking taylor expansion of x in x
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (/ -1 1) into -1
0.211 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.211 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1)
0.211 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.211 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.211 * [taylor]: Taking taylor expansion of (* x y) in x
0.211 * [taylor]: Taking taylor expansion of x in x
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [taylor]: Taking taylor expansion of y in x
0.211 * [backup-simplify]: Simplify y into y
0.212 * [backup-simplify]: Simplify (* 0 y) into 0
0.212 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.212 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.212 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.212 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.212 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.212 * [taylor]: Taking taylor expansion of y in y
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (/ 1 1) into 1
0.213 * [backup-simplify]: Simplify (- 1) into -1
0.213 * [backup-simplify]: Simplify -1 into -1
0.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.214 * [backup-simplify]: Simplify (- 0) into 0
0.215 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1))
0.215 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y
0.215 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y
0.215 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y
0.215 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.215 * [taylor]: Taking taylor expansion of -1 in y
0.215 * [backup-simplify]: Simplify -1 into -1
0.215 * [taylor]: Taking taylor expansion of x in y
0.215 * [backup-simplify]: Simplify x into x
0.215 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.215 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x))
0.215 * [taylor]: Taking taylor expansion of 1 in y
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1)
0.215 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (- 0) into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
0.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.220 * [backup-simplify]: Simplify (- 0) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [taylor]: Taking taylor expansion of 0 in y
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (- 0) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [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
0.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.226 * [backup-simplify]: Simplify (- 0) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [taylor]: Taking taylor expansion of 0 in y
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.227 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
0.228 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (- 0) into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.233 * [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
0.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.235 * [backup-simplify]: Simplify (- 0) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [taylor]: Taking taylor expansion of 0 in y
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y))
0.236 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.236 * [backup-simplify]: Simplify (log1p (exp x)) into (log1p (exp x))
0.236 * [approximate]: Taking taylor expansion of (log1p (exp x)) in (x) around 0
0.236 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.236 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.236 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.236 * [taylor]: Taking taylor expansion of 1 in x
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [taylor]: Taking taylor expansion of (exp x) in x
0.236 * [taylor]: Taking taylor expansion of x in x
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (exp 0) into 1
0.237 * [backup-simplify]: Simplify (+ 1 1) into 2
0.237 * [backup-simplify]: Simplify (log 2) into (log 2)
0.237 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x
0.237 * [taylor]: Rewrote expression to (log (+ 1 (exp x)))
0.237 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x
0.237 * [taylor]: Taking taylor expansion of 1 in x
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [taylor]: Taking taylor expansion of (exp x) in x
0.237 * [taylor]: Taking taylor expansion of x in x
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (exp 0) into 1
0.238 * [backup-simplify]: Simplify (+ 1 1) into 2
0.238 * [backup-simplify]: Simplify (log 2) into (log 2)
0.239 * [backup-simplify]: Simplify (log 2) into (log 2)
0.240 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1
0.240 * [backup-simplify]: Simplify (+ 0 1) into 1
0.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2
0.242 * [backup-simplify]: Simplify 1/2 into 1/2
0.243 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2
0.244 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.246 * [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
0.246 * [backup-simplify]: Simplify 1/8 into 1/8
0.246 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
0.246 * [backup-simplify]: Simplify (log1p (exp (/ 1 x))) into (log1p (exp (/ 1 x)))
0.246 * [approximate]: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0
0.246 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.246 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.246 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.246 * [taylor]: Taking taylor expansion of 1 in x
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.247 * [taylor]: Taking taylor expansion of x in x
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (/ 1 1) into 1
0.247 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.247 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.247 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.247 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x
0.247 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x))))
0.247 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x
0.247 * [taylor]: Taking taylor expansion of 1 in x
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x
0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.247 * [taylor]: Taking taylor expansion of x in x
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x))
0.248 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1)
0.248 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.248 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1))
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [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
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [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
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.255 * [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
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [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
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [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
0.268 * [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
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.268 * [taylor]: Taking taylor expansion of -1 in x
0.268 * [backup-simplify]: Simplify -1 into -1
0.268 * [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
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x
0.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.268 * [taylor]: Taking taylor expansion of -1 in x
0.268 * [backup-simplify]: Simplify -1 into -1
0.268 * [taylor]: Taking taylor expansion of x in x
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.269 * [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))
0.269 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1))
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [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
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [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
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [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
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [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
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [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
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1))
0.288 * * * [progress]: simplifying candidates
0.288 * * * * [progress]: [ 1 / 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))))>
0.288 * * * * [progress]: [ 2 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* x y))) (fma (- x) y (* x y))))>
0.288 * * * * [progress]: [ 3 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (fma 1 (log1p (exp x)) (- (* x y))) (fma (- x) y (* x y))))>
0.288 * * * * [progress]: [ 4 / 40 ] simplifiying candidate #<alt (λ (x y) (log1p (expm1 (- (log1p (exp x)) (* y x)))))>
0.288 * * * * [progress]: [ 5 / 40 ] simplifiying candidate #<alt (λ (x y) (expm1 (log1p (- (log1p (exp x)) (* y x)))))>
0.289 * * * * [progress]: [ 6 / 40 ] simplifiying candidate #<alt (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x))))>
0.289 * * * * [progress]: [ 7 / 40 ] simplifiying candidate #<alt (λ (x y) (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x))))>
0.289 * * * * [progress]: [ 8 / 40 ] simplifiying candidate #<alt (λ (x y) (fma 1 (log1p (exp x)) (- (* y x))))>
0.289 * * * * [progress]: [ 9 / 40 ] simplifiying candidate #<alt (λ (x y) (log (/ (+ 1 (exp x)) (exp (* y x)))))>
0.289 * * * * [progress]: [ 10 / 40 ] simplifiying candidate #<alt (λ (x y) (log (/ (exp (log1p (exp x))) (exp (* y x)))))>
0.289 * * * * [progress]: [ 11 / 40 ] simplifiying candidate #<alt (λ (x y) (pow (- (log1p (exp x)) (* y x)) 1))>
0.289 * * * * [progress]: [ 12 / 40 ] simplifiying candidate #<alt (λ (x y) (exp (log (- (log1p (exp x)) (* y x)))))>
0.289 * * * * [progress]: [ 13 / 40 ] simplifiying candidate #<alt (λ (x y) (log (exp (- (log1p (exp x)) (* y x)))))>
0.289 * * * * [progress]: [ 14 / 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)))))>
0.289 * * * * [progress]: [ 15 / 40 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))))>
0.289 * * * * [progress]: [ 16 / 40 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x)))))>
0.289 * * * * [progress]: [ 17 / 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))))))>
0.289 * * * * [progress]: [ 18 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (log1p (exp x)) (- (* y x))))>
0.289 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #<alt (λ (x y) (* 1 (- (log1p (exp x)) (* y x))))>
0.289 * * * * [progress]: [ 20 / 40 ] simplifiying candidate #<alt (λ (x y) (/ (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x))) (+ (log1p (exp x)) (* y x))))>
0.289 * * * * [progress]: [ 21 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (log1p (exp x)) (- (* y x))))>
0.289 * * * * [progress]: [ 22 / 40 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (- (log1p (exp x)) (* y x)))))>
0.289 * * * * [progress]: [ 23 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ 1 (exp x))) (* y x)))>
0.289 * * * * [progress]: [ 24 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log1p (expm1 (log1p (exp x)))) (* y x)))>
0.289 * * * * [progress]: [ 25 / 40 ] simplifiying candidate #<alt (λ (x y) (- (expm1 (log1p (log1p (exp x)))) (* y x)))>
0.289 * * * * [progress]: [ 26 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log1p (exp x)) (* y x)))>
0.289 * * * * [progress]: [ 27 / 40 ] simplifiying candidate #<alt (λ (x y) (- (pow (log1p (exp x)) 1) (* y x)))>
0.289 * * * * [progress]: [ 28 / 40 ] simplifiying candidate #<alt (λ (x y) (- (exp (log (log1p (exp x)))) (* y x)))>
0.289 * * * * [progress]: [ 29 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (exp (log1p (exp x)))) (* y x)))>
0.289 * * * * [progress]: [ 30 / 40 ] simplifiying candidate #<alt (λ (x y) (- (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))>
0.289 * * * * [progress]: [ 31 / 40 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x)))) (* y x)))>
0.289 * * * * [progress]: [ 32 / 40 ] simplifiying candidate #<alt (λ (x y) (- (* (sqrt (log1p (exp x))) (sqrt (log1p (exp x)))) (* y x)))>
0.290 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #<alt (λ (x y) (- (* 1 (log1p (exp x))) (* y x)))>
0.290 * * * * [progress]: [ 34 / 40 ] simplifiying candidate #<alt (λ (x y) (- (posit16->real (real->posit16 (log1p (exp x)))) (* y x)))>
0.290 * * * * [progress]: [ 35 / 40 ] simplifiying candidate #<alt (λ (x y) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))>
0.290 * * * * [progress]: [ 36 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
0.290 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* x y)))>
0.290 * * * * [progress]: [ 38 / 40 ] simplifiying candidate #<alt (λ (x y) (- (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (* y x)))>
0.290 * * * * [progress]: [ 39 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* y x)))>
0.290 * * * * [progress]: [ 40 / 40 ] simplifiying candidate #<alt (λ (x y) (- (log (+ (exp x) 1)) (* y x)))>
0.291 * [simplify]: Simplifying:
  (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)))
  (+ 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))
  (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
  (log (+ (exp x) 1))
  (log (+ (exp x) 1))
0.291 * * [simplify]: iteration 0: 61 enodes
0.309 * * [simplify]: iteration 1: 129 enodes
0.338 * * [simplify]: iteration 2: 327 enodes
0.495 * * [simplify]: iteration 3: 987 enodes
0.888 * * [simplify]: iteration 4: 2003 enodes
1.161 * * [simplify]: iteration complete: 2003 enodes
1.161 * * [simplify]: Extracting #0: cost 27 inf + 0
1.162 * * [simplify]: Extracting #1: cost 207 inf + 0
1.166 * * [simplify]: Extracting #2: cost 413 inf + 4575
1.175 * * [simplify]: Extracting #3: cost 262 inf + 24559
1.199 * * [simplify]: Extracting #4: cost 100 inf + 74526
1.230 * * [simplify]: Extracting #5: cost 15 inf + 102440
1.253 * * [simplify]: Extracting #6: cost 2 inf + 106160
1.273 * * [simplify]: Extracting #7: cost 0 inf + 106986
1.302 * [simplify]: Simplified to:
  (- (log1p (exp x)) (* y x))
  (+ (- (* 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))
  (/ (+ 1 (exp x)) (exp (* y x)))
  (/ (+ 1 (exp x)) (exp (* y x)))
  (log (- (log1p (exp x)) (* y x)))
  (/ (+ 1 (exp x)) (exp (* y x)))
  (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x))))
  (cbrt (- (log1p (exp x)) (* y x)))
  (* (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)))
  (sqrt (- (log1p (exp x)) (* y x)))
  (sqrt (- (log1p (exp x)) (* y x)))
  (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* y x) (* (* y x) (* y x))))
  (fma (log1p (exp x)) (log1p (exp x)) (fma (log1p (exp x)) (* y x) (* (* y x) (* y x))))
  (- (* y x))
  (- (* (log1p (exp x)) (log1p (exp x))) (* (* y x) (* y x)))
  (fma x y (log1p (exp x)))
  (- (* y x))
  (real->posit16 (- (log1p (exp x)) (* y 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 (fma x 1/8 1/2) (log 2))
  (- (log1p (exp x)) (* y x))
  (- (log1p (exp x)) (* y x))
  (fma x (fma x 1/8 1/2) (log 2))
  (log1p (exp x))
  (log1p (exp x))
1.305 * * * [progress]: adding candidates to table
1.618 * [progress]: [Phase 3 of 3] Extracting.
1.621 * [simplify]: Simplifying:
  (- (log1p (exp x)) (* y x))
1.621 * * [simplify]: iteration 0: 6 enodes
1.621 * * [simplify]: iteration 1: 7 enodes
1.621 * * [simplify]: iteration complete: 7 enodes
1.621 * * [simplify]: Extracting #0: cost 1 inf + 0
1.621 * * [simplify]: Extracting #1: cost 3 inf + 0
1.621 * * [simplify]: Extracting #2: cost 6 inf + 0
1.621 * * [simplify]: Extracting #3: cost 4 inf + 2
1.621 * * [simplify]: Extracting #4: cost 0 inf + 518
1.621 * [simplify]: Simplified to:
  (- (log1p (exp x)) (* y x))
5.526 * [regime-testing]: Baseline error score: 0.5022043686139291
5.528 * [regime-testing]: Oracle error score: 0.5022043686139291
5.528 * [regime-testing]: End program error score: 0.5022043686139291
5.598 * [regime-testing]: Target error score: 0.058200474674197845