19.101 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.113 * * * [progress]: [2/2] Setting up program. 0.119 * [progress]: [Phase 2 of 3] Improving. 0.119 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.120 * [simplify]: Simplifying: (- (log (+ 1 (exp x))) (* x y)) 0.120 * * [simplify]: iteration 0: 8 enodes 0.123 * * [simplify]: iteration 1: 15 enodes 0.127 * * [simplify]: iteration 2: 22 enodes 0.130 * * [simplify]: iteration 3: 26 enodes 0.133 * * [simplify]: iteration complete: 26 enodes 0.133 * * [simplify]: Extracting #0: cost 1 inf + 0 0.133 * * [simplify]: Extracting #1: cost 8 inf + 0 0.133 * * [simplify]: Extracting #2: cost 5 inf + 167 0.133 * * [simplify]: Extracting #3: cost 4 inf + 279 0.134 * * [simplify]: Extracting #4: cost 1 inf + 683 0.134 * * [simplify]: Extracting #5: cost 0 inf + 795 0.134 * [simplify]: Simplified to: (- (log1p (exp x)) (* y x)) 0.138 * * [progress]: iteration 1 / 4 0.138 * * * [progress]: picking best candidate 0.140 * * * * [pick]: Picked # 0.140 * * * [progress]: localizing error 0.151 * * * [progress]: generating rewritten candidates 0.151 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.152 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.158 * * * [progress]: generating series expansions 0.158 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.158 * [backup-simplify]: Simplify (log1p (exp x)) into (log1p (exp x)) 0.158 * [approximate]: Taking taylor expansion of (log1p (exp x)) in (x) around 0 0.158 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 0.158 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.158 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 0.159 * [taylor]: Taking taylor expansion of 1 in x 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of (exp x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (exp 0) into 1 0.159 * [backup-simplify]: Simplify (+ 1 1) into 2 0.160 * [backup-simplify]: Simplify (log 2) into (log 2) 0.160 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 0.160 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.160 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 0.160 * [taylor]: Taking taylor expansion of 1 in x 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of (exp x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (exp 0) into 1 0.161 * [backup-simplify]: Simplify (+ 1 1) into 2 0.161 * [backup-simplify]: Simplify (log 2) into (log 2) 0.181 * [backup-simplify]: Simplify (log 2) into (log 2) 0.181 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 0.183 * [backup-simplify]: Simplify 1/2 into 1/2 0.183 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.184 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.185 * [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 0.185 * [backup-simplify]: Simplify 1/8 into 1/8 0.186 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 0.186 * [backup-simplify]: Simplify (log1p (exp (/ 1 x))) into (log1p (exp (/ 1 x))) 0.186 * [approximate]: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 0.186 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 0.186 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.186 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of 1 in x 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.186 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.187 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.187 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 0.187 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.187 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 0.187 * [taylor]: Taking taylor expansion of 1 in x 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.187 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.187 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.187 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [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 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [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 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [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 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [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 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [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 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1)) 0.209 * [backup-simplify]: Simplify (log1p (exp (/ 1 (- x)))) into (log1p (exp (/ -1 x))) 0.209 * [approximate]: Taking taylor expansion of (log1p (exp (/ -1 x))) in (x) around 0 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 0.210 * [backup-simplify]: Simplify (/ -1 1) into -1 0.210 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.210 * [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 (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 0.210 * [backup-simplify]: Simplify -1 into -1 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 0.211 * [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 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [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 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [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 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [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 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [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 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [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 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1)) 0.252 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.252 * [backup-simplify]: Simplify (- (log1p (exp x)) (* y x)) into (- (log1p (exp x)) (* x y)) 0.252 * [approximate]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in y 0.252 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y 0.252 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.252 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y 0.252 * [taylor]: Taking taylor expansion of 1 in y 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (exp x) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [backup-simplify]: Simplify x into x 0.252 * [backup-simplify]: Simplify (exp x) into (exp x) 0.252 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1) 0.252 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) 0.252 * [taylor]: Taking taylor expansion of (* x y) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [backup-simplify]: Simplify x into x 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 0.252 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 0.253 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.253 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 0.253 * [taylor]: Taking taylor expansion of 1 in x 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (exp x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (exp 0) into 1 0.253 * [backup-simplify]: Simplify (+ 1 1) into 2 0.254 * [backup-simplify]: Simplify (log 2) into (log 2) 0.254 * [taylor]: Taking taylor expansion of (* x y) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [backup-simplify]: Simplify y into y 0.254 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 0.254 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 0.254 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.254 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 0.254 * [taylor]: Taking taylor expansion of 1 in x 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of (exp x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (exp 0) into 1 0.254 * [backup-simplify]: Simplify (+ 1 1) into 2 0.255 * [backup-simplify]: Simplify (log 2) into (log 2) 0.255 * [taylor]: Taking taylor expansion of (* x y) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [backup-simplify]: Simplify y into y 0.255 * [backup-simplify]: Simplify (* 0 y) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 0.257 * [taylor]: Taking taylor expansion of (log 2) in y 0.257 * [taylor]: Taking taylor expansion of 2 in y 0.257 * [backup-simplify]: Simplify 2 into 2 0.257 * [backup-simplify]: Simplify (log 2) into (log 2) 0.257 * [backup-simplify]: Simplify (log 2) into (log 2) 0.259 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.259 * [backup-simplify]: Simplify (+ 0 1) into 1 0.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.261 * [backup-simplify]: Simplify (- y) into (- y) 0.261 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y) 0.261 * [taylor]: Taking taylor expansion of (- 1/2 y) in y 0.261 * [taylor]: Taking taylor expansion of 1/2 in y 0.261 * [backup-simplify]: Simplify 1/2 into 1/2 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.262 * [backup-simplify]: Simplify 1/2 into 1/2 0.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.266 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.268 * [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 0.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 0.270 * [taylor]: Taking taylor expansion of 1/8 in y 0.270 * [backup-simplify]: Simplify 1/8 into 1/8 0.270 * [backup-simplify]: Simplify 1/8 into 1/8 0.270 * [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)))) 0.271 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) into (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) 0.271 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in y 0.271 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y 0.271 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.271 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [backup-simplify]: Simplify x into x 0.271 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.271 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.271 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.271 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.271 * [taylor]: Taking taylor expansion of (* x y) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [backup-simplify]: Simplify x into x 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* x 0) into 0 0.272 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.272 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.272 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 0.272 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 0.272 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.272 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 0.272 * [taylor]: Taking taylor expansion of 1 in x 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.273 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.273 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.273 * [taylor]: Taking taylor expansion of (* x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [backup-simplify]: Simplify y into y 0.273 * [backup-simplify]: Simplify (* 0 y) into 0 0.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.273 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.273 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 0.273 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 0.273 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.273 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.274 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.274 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.274 * [taylor]: Taking taylor expansion of (* x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [backup-simplify]: Simplify y into y 0.274 * [backup-simplify]: Simplify (* 0 y) into 0 0.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.275 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.275 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.275 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify -1 into -1 0.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) 0.277 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 0.277 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 0.277 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [backup-simplify]: Simplify x into x 0.277 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.277 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.277 * [taylor]: Taking taylor expansion of 1 in y 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 0.278 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 0.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [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 0.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.288 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [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 0.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y)) 0.299 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) into (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) 0.299 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in (x y) around 0 0.299 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in y 0.299 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y 0.299 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 0.299 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 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 (/ -1 x)) in y 0.299 * [taylor]: Taking taylor expansion of (/ -1 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 x in y 0.299 * [backup-simplify]: Simplify x into x 0.299 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.299 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.299 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 0.299 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 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 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* x 0) into 0 0.300 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.300 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.300 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 0.300 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 0.300 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 0.300 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 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 (/ -1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ -1 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 x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ -1 1) into -1 0.301 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.301 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 0.301 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 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 0) (* 1 y)) into y 0.301 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.301 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 0.301 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 0.301 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 0.301 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 0.301 * [taylor]: Taking taylor expansion of 1 in x 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.302 * [taylor]: Taking taylor expansion of -1 in x 0.302 * [backup-simplify]: Simplify -1 into -1 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ -1 1) into -1 0.302 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.302 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 0.302 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.302 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.302 * [taylor]: Taking taylor expansion of (* x y) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (* 0 y) into 0 0.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.302 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.303 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.303 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (- 1) into -1 0.303 * [backup-simplify]: Simplify -1 into -1 0.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) 0.304 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 0.304 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 0.304 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.304 * [taylor]: Taking taylor expansion of -1 in y 0.304 * [backup-simplify]: Simplify -1 into -1 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [backup-simplify]: Simplify x into x 0.304 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.304 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.304 * [taylor]: Taking taylor expansion of 1 in y 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 0.304 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 0.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 0.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.314 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [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 0.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) 0.320 * * * [progress]: simplifying candidates 0.320 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 12 / 40 ] simplifiying candidate #real (real->posit16 (log1p (exp x)))) (* y x)))> 0.320 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.320 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 34 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p (exp x)) (* y x)))))> 0.321 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.321 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.322 * [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)) 0.322 * * [simplify]: iteration 0: 61 enodes 0.339 * * [simplify]: iteration 1: 128 enodes 0.396 * * [simplify]: iteration 2: 320 enodes 0.573 * * [simplify]: iteration 3: 1021 enodes 1.135 * * [simplify]: iteration 4: 2002 enodes 1.524 * * [simplify]: iteration complete: 2002 enodes 1.525 * * [simplify]: Extracting #0: cost 27 inf + 0 1.525 * * [simplify]: Extracting #1: cost 197 inf + 0 1.528 * * [simplify]: Extracting #2: cost 390 inf + 5632 1.538 * * [simplify]: Extracting #3: cost 153 inf + 46726 1.553 * * [simplify]: Extracting #4: cost 49 inf + 77456 1.585 * * [simplify]: Extracting #5: cost 15 inf + 87935 1.618 * * [simplify]: Extracting #6: cost 2 inf + 91343 1.636 * * [simplify]: Extracting #7: cost 0 inf + 92169 1.653 * [simplify]: Simplified to: (+ (exp x) 1) (exp x) (log1p (log1p (exp x))) (log (log1p (exp x))) (+ (exp x) 1) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (real->posit16 (log1p (exp x))) (- (log1p (exp x)) (* y x)) (* (+ (- x) x) y) (- (log1p (exp x)) (* y x)) (* (+ (- x) x) y) (- (log1p (exp x)) (* y x)) (* (+ (- x) x) y) (expm1 (- (log1p (exp x)) (* y x))) (log1p (- (log1p (exp x)) (* y x))) (- (* y x)) (- (* y x)) (- (* y x)) (/ (+ (exp x) 1) (exp (* y x))) (/ (+ (exp x) 1) (exp (* y x))) (log (- (log1p (exp x)) (* y x))) (/ (+ (exp x) 1) (exp (* y x))) (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) (cbrt (- (log1p (exp x)) (* y x))) (* (- (log1p (exp x)) (* y x)) (* (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)))) (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x))) (- (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) (* (* y x) (* (* y x) (* y x)))) (fma (* y x) (log1p (exp x)) (fma (* y x) (* y x) (* (log1p (exp x)) (log1p (exp 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))) (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)) 1.654 * * * [progress]: adding candidates to table 1.807 * * [progress]: iteration 2 / 4 1.807 * * * [progress]: picking best candidate 1.812 * * * * [pick]: Picked # 1.813 * * * [progress]: localizing error 1.833 * * * [progress]: generating rewritten candidates 1.833 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.834 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.840 * * * [progress]: generating series expansions 1.840 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.840 * [backup-simplify]: Simplify (expm1 (log1p (- (log1p (exp x)) (* y x)))) into (expm1 (log1p (- (log1p (exp x)) (* x y)))) 1.840 * [approximate]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp x)) (* x y)))) in (x y) around 0 1.840 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp x)) (* x y)))) in y 1.840 * [taylor]: Rewrote expression to (- (exp (log1p (- (log1p (exp x)) (* x y)))) 1) 1.840 * [taylor]: Taking taylor expansion of (exp (log1p (- (log1p (exp x)) (* x y)))) in y 1.840 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp x)) (* x y))) in y 1.840 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* x y)))) 1.840 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* x y))) in y 1.840 * [taylor]: Taking taylor expansion of 1 in y 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in y 1.840 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y 1.840 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 1.840 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y 1.840 * [taylor]: Taking taylor expansion of 1 in y 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [taylor]: Taking taylor expansion of (exp x) in y 1.840 * [taylor]: Taking taylor expansion of x in y 1.840 * [backup-simplify]: Simplify x into x 1.840 * [backup-simplify]: Simplify (exp x) into (exp x) 1.840 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1) 1.840 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) 1.840 * [taylor]: Taking taylor expansion of (* x y) in y 1.840 * [taylor]: Taking taylor expansion of x in y 1.840 * [backup-simplify]: Simplify x into x 1.840 * [taylor]: Taking taylor expansion of y in y 1.840 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (* x 0) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ (log (+ (exp x) 1)) 0) into (log (+ (exp x) 1)) 1.841 * [backup-simplify]: Simplify (+ 1 (log (+ (exp x) 1))) into (+ (log (+ (exp x) 1)) 1) 1.841 * [backup-simplify]: Simplify (log (+ (log (+ (exp x) 1)) 1)) into (log (+ (log (+ (exp x) 1)) 1)) 1.842 * [backup-simplify]: Simplify (exp (log (+ (log (+ (exp x) 1)) 1))) into (+ (log (+ (exp x) 1)) 1) 1.842 * [taylor]: Taking taylor expansion of 1 in y 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp x)) (* x y)))) in x 1.842 * [taylor]: Rewrote expression to (- (exp (log1p (- (log1p (exp x)) (* x y)))) 1) 1.842 * [taylor]: Taking taylor expansion of (exp (log1p (- (log1p (exp x)) (* x y)))) in x 1.842 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp x)) (* x y))) in x 1.842 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* x y)))) 1.842 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* x y))) in x 1.842 * [taylor]: Taking taylor expansion of 1 in x 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 1.842 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 1.842 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 1.842 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 1.842 * [taylor]: Taking taylor expansion of 1 in x 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of (exp x) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (exp 0) into 1 1.842 * [backup-simplify]: Simplify (+ 1 1) into 2 1.842 * [backup-simplify]: Simplify (log 2) into (log 2) 1.842 * [taylor]: Taking taylor expansion of (* x y) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of y in x 1.843 * [backup-simplify]: Simplify y into y 1.843 * [backup-simplify]: Simplify (* 0 y) into 0 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 1.844 * [backup-simplify]: Simplify (+ 1 (log 2)) into (+ (log 2) 1) 1.845 * [backup-simplify]: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) 1.846 * [backup-simplify]: Simplify (exp (log (+ (log 2) 1))) into (+ (log 2) 1) 1.846 * [taylor]: Taking taylor expansion of 1 in x 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp x)) (* x y)))) in x 1.846 * [taylor]: Rewrote expression to (- (exp (log1p (- (log1p (exp x)) (* x y)))) 1) 1.846 * [taylor]: Taking taylor expansion of (exp (log1p (- (log1p (exp x)) (* x y)))) in x 1.846 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp x)) (* x y))) in x 1.846 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* x y)))) 1.846 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* x y))) in x 1.847 * [taylor]: Taking taylor expansion of 1 in x 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 1.847 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 1.847 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 1.847 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 1.847 * [taylor]: Taking taylor expansion of 1 in x 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of (exp x) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (exp 0) into 1 1.847 * [backup-simplify]: Simplify (+ 1 1) into 2 1.847 * [backup-simplify]: Simplify (log 2) into (log 2) 1.847 * [taylor]: Taking taylor expansion of (* x y) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of y in x 1.847 * [backup-simplify]: Simplify y into y 1.847 * [backup-simplify]: Simplify (* 0 y) into 0 1.848 * [backup-simplify]: Simplify (- 0) into 0 1.848 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 1.849 * [backup-simplify]: Simplify (+ 1 (log 2)) into (+ (log 2) 1) 1.850 * [backup-simplify]: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) 1.851 * [backup-simplify]: Simplify (exp (log (+ (log 2) 1))) into (+ (log 2) 1) 1.851 * [taylor]: Taking taylor expansion of 1 in x 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (- 1) into -1 1.852 * [backup-simplify]: Simplify (+ (+ (log 2) 1) -1) into (log 2) 1.852 * [taylor]: Taking taylor expansion of (log 2) in y 1.852 * [taylor]: Taking taylor expansion of 2 in y 1.852 * [backup-simplify]: Simplify 2 into 2 1.853 * [backup-simplify]: Simplify (log 2) into (log 2) 1.853 * [backup-simplify]: Simplify (log 2) into (log 2) 1.854 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.854 * [backup-simplify]: Simplify (+ 0 1) into 1 1.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 1.855 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.855 * [backup-simplify]: Simplify (- y) into (- y) 1.855 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y) 1.855 * [backup-simplify]: Simplify (+ 0 (- 1/2 y)) into (- 1/2 y) 1.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1/2 y)) 1)) (pow (+ (log 2) 1) 1)))) 1) into (- (* 1/2 (/ 1 (+ (log 2) 1))) (/ y (+ (log 2) 1))) 1.860 * [backup-simplify]: Simplify (* (exp (log (+ (log 2) 1))) (+ (* (/ (pow (- (* 1/2 (/ 1 (+ (log 2) 1))) (/ y (+ (log 2) 1))) 1) 1)))) into (* (+ (log 2) 1) (- (* 1/2 (/ 1 (+ (log 2) 1))) (/ y (+ (log 2) 1)))) 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.863 * [backup-simplify]: Simplify (+ (* (+ (log 2) 1) (- (* 1/2 (/ 1 (+ (log 2) 1))) (/ y (+ (log 2) 1)))) 0) into (- (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (* 1/2 (/ 1 (+ (log 2) 1)))) (+ (/ (* (log 2) y) (+ (log 2) 1)) (/ y (+ (log 2) 1)))) 1.863 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (* 1/2 (/ 1 (+ (log 2) 1)))) (+ (/ (* (log 2) y) (+ (log 2) 1)) (/ y (+ (log 2) 1)))) in y 1.863 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (* 1/2 (/ 1 (+ (log 2) 1)))) in y 1.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log 2) (+ (log 2) 1))) in y 1.863 * [taylor]: Taking taylor expansion of 1/2 in y 1.863 * [backup-simplify]: Simplify 1/2 into 1/2 1.863 * [taylor]: Taking taylor expansion of (/ (log 2) (+ (log 2) 1)) in y 1.863 * [taylor]: Taking taylor expansion of (log 2) in y 1.863 * [taylor]: Taking taylor expansion of 2 in y 1.863 * [backup-simplify]: Simplify 2 into 2 1.864 * [backup-simplify]: Simplify (log 2) into (log 2) 1.864 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 1.864 * [taylor]: Taking taylor expansion of (log 2) in y 1.864 * [taylor]: Taking taylor expansion of 2 in y 1.864 * [backup-simplify]: Simplify 2 into 2 1.864 * [backup-simplify]: Simplify (log 2) into (log 2) 1.864 * [taylor]: Taking taylor expansion of 1 in y 1.864 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 1.867 * [backup-simplify]: Simplify (/ (log 2) (+ (log 2) 1)) into (/ (log 2) (+ (log 2) 1)) 1.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (log 2) 1))) in y 1.867 * [taylor]: Taking taylor expansion of 1/2 in y 1.867 * [backup-simplify]: Simplify 1/2 into 1/2 1.867 * [taylor]: Taking taylor expansion of (/ 1 (+ (log 2) 1)) in y 1.867 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 1.867 * [taylor]: Taking taylor expansion of (log 2) in y 1.867 * [taylor]: Taking taylor expansion of 2 in y 1.867 * [backup-simplify]: Simplify 2 into 2 1.868 * [backup-simplify]: Simplify (log 2) into (log 2) 1.868 * [taylor]: Taking taylor expansion of 1 in y 1.868 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 1.870 * [backup-simplify]: Simplify (/ 1 (+ (log 2) 1)) into (/ 1 (+ (log 2) 1)) 1.870 * [taylor]: Taking taylor expansion of (+ (/ (* (log 2) y) (+ (log 2) 1)) (/ y (+ (log 2) 1))) in y 1.870 * [taylor]: Taking taylor expansion of (/ (* (log 2) y) (+ (log 2) 1)) in y 1.870 * [taylor]: Taking taylor expansion of (* (log 2) y) in y 1.870 * [taylor]: Taking taylor expansion of (log 2) in y 1.870 * [taylor]: Taking taylor expansion of 2 in y 1.870 * [backup-simplify]: Simplify 2 into 2 1.871 * [backup-simplify]: Simplify (log 2) into (log 2) 1.871 * [taylor]: Taking taylor expansion of y in y 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 1.871 * [taylor]: Taking taylor expansion of (log 2) in y 1.871 * [taylor]: Taking taylor expansion of 2 in y 1.871 * [backup-simplify]: Simplify 2 into 2 1.871 * [backup-simplify]: Simplify (log 2) into (log 2) 1.871 * [taylor]: Taking taylor expansion of 1 in y 1.871 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (* (log 2) 0) into 0 1.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1.875 * [backup-simplify]: Simplify (+ (* (log 2) 1) (* 0 0)) into (log 2) 1.876 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 1.878 * [backup-simplify]: Simplify (/ (log 2) (+ (log 2) 1)) into (/ (log 2) (+ (log 2) 1)) 1.878 * [taylor]: Taking taylor expansion of (/ y (+ (log 2) 1)) in y 1.878 * [taylor]: Taking taylor expansion of y in y 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 1.878 * [taylor]: Taking taylor expansion of (log 2) in y 1.879 * [taylor]: Taking taylor expansion of 2 in y 1.879 * [backup-simplify]: Simplify 2 into 2 1.879 * [backup-simplify]: Simplify (log 2) into (log 2) 1.879 * [taylor]: Taking taylor expansion of 1 in y 1.879 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 1.882 * [backup-simplify]: Simplify (/ 1 (+ (log 2) 1)) into (/ 1 (+ (log 2) 1)) 1.885 * [backup-simplify]: Simplify (* 1/2 (/ (log 2) (+ (log 2) 1))) into (* 1/2 (/ (log 2) (+ (log 2) 1))) 1.886 * [backup-simplify]: Simplify (* 1/2 (/ 1 (+ (log 2) 1))) into (/ 1/2 (+ (log 2) 1)) 1.890 * [backup-simplify]: Simplify (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (/ 1/2 (+ (log 2) 1))) into (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (* 1/2 (/ 1 (+ (log 2) 1)))) 1.894 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (* 1/2 (/ 1 (+ (log 2) 1)))) 0) into (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (* 1/2 (/ 1 (+ (log 2) 1)))) 1.898 * [backup-simplify]: Simplify (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (* 1/2 (/ 1 (+ (log 2) 1)))) into (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (* 1/2 (/ 1 (+ (log 2) 1)))) 1.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.900 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.902 * [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 1.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.903 * [backup-simplify]: Simplify (- 0) into 0 1.903 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.903 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 1.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1/2 y)) 2)) (pow (+ (log 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ (log 2) 1) 1)))) 2) into (* 1/2 (- (+ (/ y (pow (+ (log 2) 1) 2)) (* 1/4 (/ 1 (+ (log 2) 1)))) (+ (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))) (/ (pow y 2) (pow (+ (log 2) 1) 2))))) 1.919 * [backup-simplify]: Simplify (* (exp (log (+ (log 2) 1))) (+ (* (/ (pow (- (* 1/2 (/ 1 (+ (log 2) 1))) (/ y (+ (log 2) 1))) 2) 2)) (* (/ (pow (* 1/2 (- (+ (/ y (pow (+ (log 2) 1) 2)) (* 1/4 (/ 1 (+ (log 2) 1)))) (+ (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))) (/ (pow y 2) (pow (+ (log 2) 1) 2))))) 1) 1)))) into 1/8 1.919 * [backup-simplify]: Simplify (- 0) into 0 1.920 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 1.920 * [taylor]: Taking taylor expansion of 1/8 in y 1.920 * [backup-simplify]: Simplify 1/8 into 1/8 1.920 * [backup-simplify]: Simplify 1/8 into 1/8 1.925 * [backup-simplify]: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* (+ (* 1/2 (/ (log 2) (+ (log 2) 1))) (* 1/2 (/ 1 (+ (log 2) 1)))) (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/8 (pow x 2)) (+ (* 1/2 (/ (* (log 2) x) (+ (log 2) 1))) (* 1/2 (/ x (+ (log 2) 1)))))) 1.925 * [backup-simplify]: Simplify (expm1 (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))))) into (expm1 (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 1.925 * [approximate]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) in (x y) around 0 1.925 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) in y 1.925 * [taylor]: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 1) 1.925 * [taylor]: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) in y 1.925 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in y 1.925 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 1.925 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in y 1.925 * [taylor]: Taking taylor expansion of 1 in y 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in y 1.925 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y 1.925 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 1.925 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y 1.925 * [taylor]: Taking taylor expansion of 1 in y 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.925 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.925 * [taylor]: Taking taylor expansion of x in y 1.925 * [backup-simplify]: Simplify x into x 1.925 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.925 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.925 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 1.925 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 1.925 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.925 * [taylor]: Taking taylor expansion of (* x y) in y 1.925 * [taylor]: Taking taylor expansion of x in y 1.925 * [backup-simplify]: Simplify x into x 1.925 * [taylor]: Taking taylor expansion of y in y 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (* x 0) into 0 1.926 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.926 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.926 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 1.926 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 1.926 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 1.926 * [backup-simplify]: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) 1.926 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) 1.927 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) 1.927 * [backup-simplify]: Simplify (exp (- (log (- (/ 1 x))) (log y))) into (exp (- (log (- (/ 1 x))) (log y))) 1.927 * [taylor]: Taking taylor expansion of 1 in y 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) in x 1.927 * [taylor]: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 1) 1.927 * [taylor]: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) in x 1.927 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in x 1.927 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 1.927 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in x 1.927 * [taylor]: Taking taylor expansion of 1 in x 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 1.927 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 1.927 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 1.928 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of 1 in x 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.928 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.928 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 1.928 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 1.928 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.928 * [taylor]: Taking taylor expansion of (* x y) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of y in x 1.928 * [backup-simplify]: Simplify y into y 1.928 * [backup-simplify]: Simplify (* 0 y) into 0 1.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.929 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.929 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.929 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.929 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.929 * [backup-simplify]: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) 1.929 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 1.930 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 1.930 * [backup-simplify]: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) 1.930 * [taylor]: Taking taylor expansion of 1 in x 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) in x 1.930 * [taylor]: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 1) 1.930 * [taylor]: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) in x 1.930 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in x 1.930 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 1.930 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in x 1.930 * [taylor]: Taking taylor expansion of 1 in x 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 1.930 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 1.930 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 1.930 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 1.930 * [taylor]: Taking taylor expansion of 1 in x 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (/ 1 1) into 1 1.930 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.931 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 1.931 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 1.931 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.931 * [taylor]: Taking taylor expansion of (* x y) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [taylor]: Taking taylor expansion of y in x 1.931 * [backup-simplify]: Simplify y into y 1.931 * [backup-simplify]: Simplify (* 0 y) into 0 1.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.931 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.931 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.931 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.931 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.931 * [backup-simplify]: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) 1.932 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 1.932 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 1.932 * [backup-simplify]: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) 1.932 * [taylor]: Taking taylor expansion of 1 in x 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (- 1) into -1 1.932 * [backup-simplify]: Simplify (+ (exp (- (log (- (/ 1 y))) (log x))) -1) into (- (exp (- (log (- (/ 1 y))) (log x))) 1) 1.932 * [taylor]: Taking taylor expansion of (- (exp (- (log (- (/ 1 y))) (log x))) 1) in y 1.932 * [taylor]: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y 1.932 * [taylor]: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y 1.932 * [taylor]: Taking taylor expansion of (log (- (/ 1 y))) in y 1.932 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.933 * [taylor]: Taking taylor expansion of y in y 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify (- 1) into -1 1.933 * [backup-simplify]: Simplify (- 1) into -1 1.933 * [backup-simplify]: Simplify (log -1) into (log -1) 1.934 * [taylor]: Taking taylor expansion of (log x) in y 1.934 * [taylor]: Taking taylor expansion of x in y 1.934 * [backup-simplify]: Simplify x into x 1.934 * [backup-simplify]: Simplify (log x) into (log x) 1.934 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 1.934 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 1.934 * [backup-simplify]: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log x) (log y))) 1.935 * [backup-simplify]: Simplify (exp (- (log -1) (+ (log x) (log y)))) into (exp (- (log -1) (+ (log x) (log y)))) 1.935 * [taylor]: Taking taylor expansion of 1 in y 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (- 1) into -1 1.935 * [backup-simplify]: Simplify (+ (exp (- (log -1) (+ (log x) (log y)))) -1) into (- (exp (- (log -1) (+ (log x) (log y)))) 1) 1.936 * [backup-simplify]: Simplify (- (exp (- (log -1) (+ (log x) (log y)))) 1) into (- (exp (- (log -1) (+ (log x) (log y)))) 1) 1.936 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 1.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) 1.937 * [backup-simplify]: Simplify (+ 1 (log (+ (exp (/ 1 x)) 1))) into (+ 1 (log (+ (exp (/ 1 x)) 1))) 1.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) 1.937 * [backup-simplify]: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) 1) 1)))) into (* -1 (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* y (log (+ (exp (/ 1 x)) 1))) y))) 1.938 * [backup-simplify]: Simplify (- 0) into 0 1.938 * [backup-simplify]: Simplify (+ (* -1 (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* y (log (+ (exp (/ 1 x)) 1))) y))) 0) into (- (+ (* (exp (- (log (- (/ 1 y))) (log x))) y) (* (exp (- (log (- (/ 1 y))) (log x))) (* y (log (+ (exp (/ 1 x)) 1)))))) 1.938 * [taylor]: Taking taylor expansion of (- (+ (* (exp (- (log (- (/ 1 y))) (log x))) y) (* (exp (- (log (- (/ 1 y))) (log x))) (* y (log (+ (exp (/ 1 x)) 1)))))) in y 1.938 * [taylor]: Taking taylor expansion of (+ (* (exp (- (log (- (/ 1 y))) (log x))) y) (* (exp (- (log (- (/ 1 y))) (log x))) (* y (log (+ (exp (/ 1 x)) 1))))) in y 1.938 * [taylor]: Taking taylor expansion of (* (exp (- (log (- (/ 1 y))) (log x))) y) in y 1.938 * [taylor]: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y 1.938 * [taylor]: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y 1.938 * [taylor]: Taking taylor expansion of (log (- (/ 1 y))) in y 1.938 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.938 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.938 * [taylor]: Taking taylor expansion of y in y 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [backup-simplify]: Simplify (- 1) into -1 1.939 * [backup-simplify]: Simplify (- 1) into -1 1.939 * [backup-simplify]: Simplify (log -1) into (log -1) 1.939 * [taylor]: Taking taylor expansion of (log x) in y 1.939 * [taylor]: Taking taylor expansion of x in y 1.939 * [backup-simplify]: Simplify x into x 1.939 * [backup-simplify]: Simplify (log x) into (log x) 1.940 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 1.940 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 1.940 * [backup-simplify]: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log x) (log y))) 1.940 * [backup-simplify]: Simplify (exp (- (log -1) (+ (log x) (log y)))) into (exp (- (log -1) (+ (log x) (log y)))) 1.940 * [taylor]: Taking taylor expansion of y in y 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of (* (exp (- (log (- (/ 1 y))) (log x))) (* y (log (+ (exp (/ 1 x)) 1)))) in y 1.940 * [taylor]: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y 1.940 * [taylor]: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y 1.940 * [taylor]: Taking taylor expansion of (log (- (/ 1 y))) in y 1.940 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.940 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.940 * [taylor]: Taking taylor expansion of y in y 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [backup-simplify]: Simplify (- 1) into -1 1.941 * [backup-simplify]: Simplify (- 1) into -1 1.941 * [backup-simplify]: Simplify (log -1) into (log -1) 1.942 * [taylor]: Taking taylor expansion of (log x) in y 1.942 * [taylor]: Taking taylor expansion of x in y 1.942 * [backup-simplify]: Simplify x into x 1.942 * [backup-simplify]: Simplify (log x) into (log x) 1.942 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 1.942 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 1.942 * [backup-simplify]: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log x) (log y))) 1.943 * [backup-simplify]: Simplify (exp (- (log -1) (+ (log x) (log y)))) into (exp (- (log -1) (+ (log x) (log y)))) 1.943 * [taylor]: Taking taylor expansion of (* y (log (+ (exp (/ 1 x)) 1))) in y 1.943 * [taylor]: Taking taylor expansion of y in y 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 1.943 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 1.943 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.943 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.943 * [taylor]: Taking taylor expansion of x in y 1.943 * [backup-simplify]: Simplify x into x 1.943 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.943 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.943 * [taylor]: Taking taylor expansion of 1 in y 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 1.943 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 1.943 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) 0) into 0 1.944 * [backup-simplify]: Simplify (* 0 (log (+ (exp (/ 1 x)) 1))) into 0 1.944 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) 0) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.945 * [backup-simplify]: Simplify (- 1) into -1 1.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.947 * [backup-simplify]: Simplify (- 0) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 1.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.951 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (+ (pow y 2) (+ (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2))))) 1.953 * [backup-simplify]: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) 2) 2)) (* (/ (pow (* -1/2 (+ (pow y 2) (+ (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2))))) 1) 1)))) into 0 1.953 * [backup-simplify]: Simplify (- 0) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [taylor]: Taking taylor expansion of 0 in y 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (- 0) into 0 1.954 * [backup-simplify]: Simplify (- 1) into -1 1.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* (exp (- (log -1) (+ (log x) (log y)))) 1) (* 0 0)) into (exp (- (log -1) (+ (log x) (log y)))) 1.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.958 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 1.959 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (log (+ (exp (/ 1 x)) 1)))) into (log (+ (exp (/ 1 x)) 1)) 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (- 1) into -1 1.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.961 * [backup-simplify]: Simplify (- 0) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ 1 x)) 1))) (* 0 0)) into (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ 1 x)) 1))) 1.964 * [backup-simplify]: Simplify (+ (exp (- (log -1) (+ (log x) (log y)))) (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ 1 x)) 1)))) into (+ (exp (- (log -1) (+ (log x) (log y)))) (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ 1 x)) 1)))) 1.964 * [backup-simplify]: Simplify (- (+ (exp (- (log -1) (+ (log x) (log y)))) (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ 1 x)) 1))))) into (- (+ (exp (- (log -1) (+ (log x) (log y)))) (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ 1 x)) 1))))) 1.965 * [backup-simplify]: Simplify (- (+ (exp (- (log -1) (+ (log x) (log y)))) (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ 1 x)) 1))))) into (- (+ (exp (- (log -1) (+ (log x) (log y)))) (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ 1 x)) 1))))) 1.965 * [backup-simplify]: Simplify (- 0) into 0 1.966 * [backup-simplify]: Simplify (- 1) into -1 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (- 1) into -1 1.968 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.971 * [backup-simplify]: Simplify (- 0) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [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 1.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (log (+ (exp (/ 1 x)) 1)))) (* 6 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) 1.978 * [backup-simplify]: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) 3) 6)) (* (/ (pow (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) 1) 1) (/ (pow (* -1/2 (+ (pow y 2) (+ (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2))))) 1) 1)) (* (/ (pow (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (log (+ (exp (/ 1 x)) 1)))) (* 6 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) 1) 1)))) into 0 1.979 * [backup-simplify]: Simplify (- 0) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [taylor]: Taking taylor expansion of 0 in y 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify (- 1) into -1 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.981 * [backup-simplify]: Simplify (- 1) into -1 1.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* (exp (- (log -1) (+ (log x) (log y)))) 0) (+ (* 0 1) (* 0 0))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.987 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [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 1.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 1.989 * [backup-simplify]: Simplify (- 0) into 0 1.989 * [backup-simplify]: Simplify (- 1) into -1 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify (- 1) into -1 1.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* (exp (- (log -1) (+ (log x) (log y)))) 0) (+ (* 0 (log (+ (exp (/ 1 x)) 1))) (* 0 0))) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify (- 1) into -1 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify (- 1) into -1 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (- 1) into -1 2.001 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 2.004 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 2.005 * [backup-simplify]: Simplify (- 0) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.006 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [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 2.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.010 * [backup-simplify]: Simplify (- 0) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/24 (+ (* 6 (pow y 4)) (+ (* 6 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (+ (* 24 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 24 (* (pow y 4) (log (+ (exp (/ 1 x)) 1)))) (* 36 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2)))))))) 2.018 * [backup-simplify]: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) 4) 24)) (* (/ (pow (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) 2) 2) (/ (pow (* -1/2 (+ (pow y 2) (+ (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2))))) 1) 1)) (* (/ (pow (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) 1) 1) (/ (pow (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (log (+ (exp (/ 1 x)) 1)))) (* 6 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) 1) 1)) (* (/ (pow (* -1/2 (+ (pow y 2) (+ (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2))))) 2) 2)) (* (/ (pow (* -1/24 (+ (* 6 (pow y 4)) (+ (* 6 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (+ (* 24 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 24 (* (pow y 4) (log (+ (exp (/ 1 x)) 1)))) (* 36 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2)))))))) 1) 1)))) into 0 2.018 * [backup-simplify]: Simplify (- 0) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [taylor]: Taking taylor expansion of 0 in y 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (+ (* (- (+ (exp (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y))))) (* (exp (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y))))) (log (+ (exp (/ 1 (/ 1 x))) 1))))) (* (/ 1 y) (/ 1 x))) (- (exp (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y))))) 1)) into (- (exp (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y))))) (+ (/ (* (log (+ (exp x) 1)) (exp (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y)))))) (* x y)) (+ (/ (exp (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y))))) (* x y)) 1))) 2.020 * [backup-simplify]: Simplify (expm1 (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))))) into (expm1 (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 2.020 * [approximate]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) in (x y) around 0 2.020 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) in y 2.020 * [taylor]: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 1) 2.020 * [taylor]: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) in y 2.020 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in y 2.020 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 2.020 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in y 2.020 * [taylor]: Taking taylor expansion of 1 in y 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in y 2.020 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y 2.020 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.020 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y 2.020 * [taylor]: Taking taylor expansion of 1 in y 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.021 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.021 * [taylor]: Taking taylor expansion of -1 in y 2.021 * [backup-simplify]: Simplify -1 into -1 2.021 * [taylor]: Taking taylor expansion of x in y 2.021 * [backup-simplify]: Simplify x into x 2.021 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.021 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.021 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.021 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.021 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.021 * [taylor]: Taking taylor expansion of (* x y) in y 2.021 * [taylor]: Taking taylor expansion of x in y 2.021 * [backup-simplify]: Simplify x into x 2.021 * [taylor]: Taking taylor expansion of y in y 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* x 0) into 0 2.021 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.021 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.021 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 2.021 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 2.021 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 2.022 * [backup-simplify]: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) 2.022 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) 2.022 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log (- (/ 1 x)))) into (- (log (- (/ 1 x))) (log y)) 2.022 * [backup-simplify]: Simplify (exp (- (log (- (/ 1 x))) (log y))) into (exp (- (log (- (/ 1 x))) (log y))) 2.022 * [taylor]: Taking taylor expansion of 1 in y 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) in x 2.022 * [taylor]: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 1) 2.022 * [taylor]: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) in x 2.022 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in x 2.022 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 2.022 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in x 2.022 * [taylor]: Taking taylor expansion of 1 in x 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 2.023 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.023 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.023 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.023 * [taylor]: Taking taylor expansion of 1 in x 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.023 * [taylor]: Taking taylor expansion of -1 in x 2.023 * [backup-simplify]: Simplify -1 into -1 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (/ -1 1) into -1 2.023 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.023 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.023 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.023 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.023 * [taylor]: Taking taylor expansion of (* x y) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of y in x 2.023 * [backup-simplify]: Simplify y into y 2.023 * [backup-simplify]: Simplify (* 0 y) into 0 2.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.024 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.024 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.024 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.024 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.024 * [backup-simplify]: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) 2.024 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.025 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.025 * [backup-simplify]: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) 2.025 * [taylor]: Taking taylor expansion of 1 in x 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) in x 2.025 * [taylor]: Rewrote expression to (- (exp (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 1) 2.025 * [taylor]: Taking taylor expansion of (exp (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) in x 2.025 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in x 2.025 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 2.025 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in x 2.025 * [taylor]: Taking taylor expansion of 1 in x 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 2.025 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.025 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.025 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.025 * [taylor]: Taking taylor expansion of 1 in x 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.025 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.025 * [taylor]: Taking taylor expansion of -1 in x 2.025 * [backup-simplify]: Simplify -1 into -1 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (/ -1 1) into -1 2.026 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.026 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.026 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.026 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.026 * [taylor]: Taking taylor expansion of (* x y) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [backup-simplify]: Simplify y into y 2.026 * [backup-simplify]: Simplify (* 0 y) into 0 2.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.026 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.026 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.026 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.026 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.027 * [backup-simplify]: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) 2.027 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.027 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.027 * [backup-simplify]: Simplify (exp (- (log (- (/ 1 y))) (log x))) into (exp (- (log (- (/ 1 y))) (log x))) 2.027 * [taylor]: Taking taylor expansion of 1 in x 2.027 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (- 1) into -1 2.028 * [backup-simplify]: Simplify (+ (exp (- (log (- (/ 1 y))) (log x))) -1) into (- (exp (- (log (- (/ 1 y))) (log x))) 1) 2.028 * [taylor]: Taking taylor expansion of (- (exp (- (log (- (/ 1 y))) (log x))) 1) in y 2.028 * [taylor]: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y 2.028 * [taylor]: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y 2.028 * [taylor]: Taking taylor expansion of (log (- (/ 1 y))) in y 2.028 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.028 * [taylor]: Taking taylor expansion of y in y 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [backup-simplify]: Simplify (- 1) into -1 2.029 * [backup-simplify]: Simplify (- 1) into -1 2.029 * [backup-simplify]: Simplify (log -1) into (log -1) 2.029 * [taylor]: Taking taylor expansion of (log x) in y 2.029 * [taylor]: Taking taylor expansion of x in y 2.029 * [backup-simplify]: Simplify x into x 2.029 * [backup-simplify]: Simplify (log x) into (log x) 2.029 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 2.029 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 2.030 * [backup-simplify]: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log x) (log y))) 2.030 * [backup-simplify]: Simplify (exp (- (log -1) (+ (log x) (log y)))) into (exp (- (log -1) (+ (log x) (log y)))) 2.030 * [taylor]: Taking taylor expansion of 1 in y 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (- 1) into -1 2.031 * [backup-simplify]: Simplify (+ (exp (- (log -1) (+ (log x) (log y)))) -1) into (- (exp (- (log -1) (+ (log x) (log y)))) 1) 2.031 * [backup-simplify]: Simplify (- (exp (- (log -1) (+ (log x) (log y)))) 1) into (- (exp (- (log -1) (+ (log x) (log y)))) 1) 2.032 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.033 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) 2.033 * [backup-simplify]: Simplify (+ 1 (log (+ (exp (/ -1 x)) 1))) into (+ (log (+ (exp (/ -1 x)) 1)) 1) 2.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) 2.033 * [backup-simplify]: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) 1) 1)))) into (* -1 (* (+ (* (log (+ (exp (/ -1 x)) 1)) y) y) (exp (- (log (- (/ 1 y))) (log x))))) 2.033 * [backup-simplify]: Simplify (- 0) into 0 2.033 * [backup-simplify]: Simplify (+ (* -1 (* (+ (* (log (+ (exp (/ -1 x)) 1)) y) y) (exp (- (log (- (/ 1 y))) (log x))))) 0) into (- (+ (* (exp (- (log (- (/ 1 y))) (log x))) y) (* (exp (- (log (- (/ 1 y))) (log x))) (* (log (+ (exp (/ -1 x)) 1)) y)))) 2.034 * [taylor]: Taking taylor expansion of (- (+ (* (exp (- (log (- (/ 1 y))) (log x))) y) (* (exp (- (log (- (/ 1 y))) (log x))) (* (log (+ (exp (/ -1 x)) 1)) y)))) in y 2.034 * [taylor]: Taking taylor expansion of (+ (* (exp (- (log (- (/ 1 y))) (log x))) y) (* (exp (- (log (- (/ 1 y))) (log x))) (* (log (+ (exp (/ -1 x)) 1)) y))) in y 2.034 * [taylor]: Taking taylor expansion of (* (exp (- (log (- (/ 1 y))) (log x))) y) in y 2.034 * [taylor]: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y 2.034 * [taylor]: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y 2.034 * [taylor]: Taking taylor expansion of (log (- (/ 1 y))) in y 2.034 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.034 * [taylor]: Taking taylor expansion of y in y 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [backup-simplify]: Simplify (- 1) into -1 2.034 * [backup-simplify]: Simplify (- 1) into -1 2.035 * [backup-simplify]: Simplify (log -1) into (log -1) 2.035 * [taylor]: Taking taylor expansion of (log x) in y 2.035 * [taylor]: Taking taylor expansion of x in y 2.035 * [backup-simplify]: Simplify x into x 2.035 * [backup-simplify]: Simplify (log x) into (log x) 2.035 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 2.035 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 2.036 * [backup-simplify]: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log x) (log y))) 2.036 * [backup-simplify]: Simplify (exp (- (log -1) (+ (log x) (log y)))) into (exp (- (log -1) (+ (log x) (log y)))) 2.036 * [taylor]: Taking taylor expansion of y in y 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [taylor]: Taking taylor expansion of (* (exp (- (log (- (/ 1 y))) (log x))) (* (log (+ (exp (/ -1 x)) 1)) y)) in y 2.036 * [taylor]: Taking taylor expansion of (exp (- (log (- (/ 1 y))) (log x))) in y 2.036 * [taylor]: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y 2.036 * [taylor]: Taking taylor expansion of (log (- (/ 1 y))) in y 2.036 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.036 * [taylor]: Taking taylor expansion of y in y 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [backup-simplify]: Simplify (- 1) into -1 2.037 * [backup-simplify]: Simplify (- 1) into -1 2.037 * [backup-simplify]: Simplify (log -1) into (log -1) 2.037 * [taylor]: Taking taylor expansion of (log x) in y 2.037 * [taylor]: Taking taylor expansion of x in y 2.037 * [backup-simplify]: Simplify x into x 2.037 * [backup-simplify]: Simplify (log x) into (log x) 2.038 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 2.038 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 2.038 * [backup-simplify]: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log x) (log y))) 2.038 * [backup-simplify]: Simplify (exp (- (log -1) (+ (log x) (log y)))) into (exp (- (log -1) (+ (log x) (log y)))) 2.038 * [taylor]: Taking taylor expansion of (* (log (+ (exp (/ -1 x)) 1)) y) in y 2.038 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.038 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.038 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.038 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.038 * [taylor]: Taking taylor expansion of -1 in y 2.039 * [backup-simplify]: Simplify -1 into -1 2.039 * [taylor]: Taking taylor expansion of x in y 2.039 * [backup-simplify]: Simplify x into x 2.039 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.039 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.039 * [taylor]: Taking taylor expansion of 1 in y 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.039 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.039 * [taylor]: Taking taylor expansion of y in y 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) 0) into 0 2.039 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) 0) into 0 2.040 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) 0) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (- 0) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.041 * [backup-simplify]: Simplify (- 1) into -1 2.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.043 * [backup-simplify]: Simplify (- 0) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.044 * [backup-simplify]: Simplify (- 0) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 2.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.047 * [backup-simplify]: Simplify (- 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2)))))) 2.049 * [backup-simplify]: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) 2) 2)) (* (/ (pow (* -1/2 (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2)))))) 1) 1)))) into 0 2.049 * [backup-simplify]: Simplify (- 0) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [taylor]: Taking taylor expansion of 0 in y 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify (- 1) into -1 2.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.052 * [backup-simplify]: Simplify (- 0) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.054 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* (exp (- (log -1) (+ (log x) (log y)))) 1) (* 0 0)) into (exp (- (log -1) (+ (log x) (log y)))) 2.055 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.056 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 2.058 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 1) (* 0 0)) into (log (+ (exp (/ -1 x)) 1)) 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (- 0) into 0 2.059 * [backup-simplify]: Simplify (- 1) into -1 2.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.062 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.064 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ -1 x)) 1))) (* 0 0)) into (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ -1 x)) 1))) 2.067 * [backup-simplify]: Simplify (+ (exp (- (log -1) (+ (log x) (log y)))) (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ -1 x)) 1)))) into (+ (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ -1 x)) 1))) (exp (- (log -1) (+ (log x) (log y))))) 2.068 * [backup-simplify]: Simplify (- (+ (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ -1 x)) 1))) (exp (- (log -1) (+ (log x) (log y)))))) into (- (+ (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ -1 x)) 1))) (exp (- (log -1) (+ (log x) (log y)))))) 2.070 * [backup-simplify]: Simplify (- (+ (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ -1 x)) 1))) (exp (- (log -1) (+ (log x) (log y)))))) into (- (+ (* (exp (- (log -1) (+ (log x) (log y)))) (log (+ (exp (/ -1 x)) 1))) (exp (- (log -1) (+ (log x) (log y)))))) 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (- 1) into -1 2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify (- 1) into -1 2.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.077 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.077 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.080 * [backup-simplify]: Simplify (- 0) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.082 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [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 2.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.086 * [backup-simplify]: Simplify (- 0) into 0 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/6 (+ (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3))) (+ (* 6 (* (log (+ (exp (/ -1 x)) 1)) (pow y 3))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3))) (* 2 (pow y 3)))))) 2.093 * [backup-simplify]: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) 3) 6)) (* (/ (pow (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) 1) 1) (/ (pow (* -1/2 (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2)))))) 1) 1)) (* (/ (pow (* -1/6 (+ (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3))) (+ (* 6 (* (log (+ (exp (/ -1 x)) 1)) (pow y 3))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3))) (* 2 (pow y 3)))))) 1) 1)))) into 0 2.093 * [backup-simplify]: Simplify (- 0) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [taylor]: Taking taylor expansion of 0 in y 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (- 1) into -1 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (- 0) into 0 2.095 * [backup-simplify]: Simplify (- 1) into -1 2.096 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.098 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.100 * [backup-simplify]: Simplify (+ (* (exp (- (log -1) (+ (log x) (log y)))) 0) (+ (* 0 1) (* 0 0))) into 0 2.100 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.101 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.102 * [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 2.102 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 1) (* 0 0))) into 0 2.103 * [backup-simplify]: Simplify (- 0) into 0 2.103 * [backup-simplify]: Simplify (- 1) into -1 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify (- 1) into -1 2.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.108 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.108 * [backup-simplify]: Simplify (- 0) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ (* (exp (- (log -1) (+ (log x) (log y)))) 0) (+ (* 0 (log (+ (exp (/ -1 x)) 1))) (* 0 0))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (- 0) into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify (- 0) into 0 2.111 * [backup-simplify]: Simplify (- 1) into -1 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.112 * [backup-simplify]: Simplify (- 1) into -1 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (- 0) into 0 2.113 * [backup-simplify]: Simplify (- 1) into -1 2.116 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 2.118 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 2.118 * [backup-simplify]: Simplify (- 0) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [backup-simplify]: Simplify (* (exp (- (log -1) (+ (log x) (log y)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.120 * [backup-simplify]: Simplify (- 0) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.124 * [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 2.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.127 * [backup-simplify]: Simplify (- 0) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/24 (+ (* 6 (pow y 4)) (+ (* 24 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 4))) (+ (* 24 (* (log (+ (exp (/ -1 x)) 1)) (pow y 4))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) (* 36 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4)))))))) 2.140 * [backup-simplify]: Simplify (* (exp (- (log (- (/ 1 y))) (log x))) (+ (* (/ (pow (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) 4) 24)) (* (/ (pow (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) 2) 2) (/ (pow (* -1/2 (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2)))))) 1) 1)) (* (/ (pow (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) 1) 1) (/ (pow (* -1/6 (+ (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3))) (+ (* 6 (* (log (+ (exp (/ -1 x)) 1)) (pow y 3))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3))) (* 2 (pow y 3)))))) 1) 1)) (* (/ (pow (* -1/2 (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2)))))) 2) 2)) (* (/ (pow (* -1/24 (+ (* 6 (pow y 4)) (+ (* 24 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 4))) (+ (* 24 (* (log (+ (exp (/ -1 x)) 1)) (pow y 4))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) (* 36 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4)))))))) 1) 1)))) into 0 2.141 * [backup-simplify]: Simplify (- 0) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [taylor]: Taking taylor expansion of 0 in y 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify (+ (* (- (+ (* (exp (- (log -1) (+ (log (/ 1 (- x))) (log (/ 1 (- y)))))) (log (+ (exp (/ -1 (/ 1 (- x)))) 1))) (exp (- (log -1) (+ (log (/ 1 (- x))) (log (/ 1 (- y)))))))) (* (/ 1 (- y)) (/ 1 (- x)))) (- (exp (- (log -1) (+ (log (/ 1 (- x))) (log (/ 1 (- y)))))) 1)) into (- (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (+ (/ (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (* x y)) (+ 1 (/ (* (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (log (+ (exp x) 1))) (* x y))))) 2.144 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.144 * [backup-simplify]: Simplify (log1p (exp x)) into (log1p (exp x)) 2.144 * [approximate]: Taking taylor expansion of (log1p (exp x)) in (x) around 0 2.144 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.144 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.144 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.144 * [taylor]: Taking taylor expansion of 1 in x 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [taylor]: Taking taylor expansion of (exp x) in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (exp 0) into 1 2.145 * [backup-simplify]: Simplify (+ 1 1) into 2 2.145 * [backup-simplify]: Simplify (log 2) into (log 2) 2.145 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.145 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.145 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.145 * [taylor]: Taking taylor expansion of 1 in x 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [taylor]: Taking taylor expansion of (exp x) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (exp 0) into 1 2.146 * [backup-simplify]: Simplify (+ 1 1) into 2 2.146 * [backup-simplify]: Simplify (log 2) into (log 2) 2.147 * [backup-simplify]: Simplify (log 2) into (log 2) 2.148 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.148 * [backup-simplify]: Simplify (+ 0 1) into 1 2.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 2.149 * [backup-simplify]: Simplify 1/2 into 1/2 2.151 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.151 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.155 * [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 2.155 * [backup-simplify]: Simplify 1/8 into 1/8 2.155 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 2.156 * [backup-simplify]: Simplify (log1p (exp (/ 1 x))) into (log1p (exp (/ 1 x))) 2.156 * [approximate]: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 2.156 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.156 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.156 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.156 * [taylor]: Taking taylor expansion of 1 in x 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (/ 1 1) into 1 2.156 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.156 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.157 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.157 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.157 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.157 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.157 * [taylor]: Taking taylor expansion of 1 in x 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.157 * [taylor]: Taking taylor expansion of x in x 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (/ 1 1) into 1 2.157 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.157 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.157 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.158 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.158 * [backup-simplify]: Simplify (+ 0 0) into 0 2.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [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 2.161 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.165 * [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 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify (+ 0 0) into 0 2.170 * [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 2.170 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [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 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [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 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1)) 2.193 * [backup-simplify]: Simplify (log1p (exp (/ 1 (- x)))) into (log1p (exp (/ -1 x))) 2.193 * [approximate]: Taking taylor expansion of (log1p (exp (/ -1 x))) in (x) around 0 2.193 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.193 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.193 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.193 * [taylor]: Taking taylor expansion of 1 in x 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.193 * [taylor]: Taking taylor expansion of -1 in x 2.193 * [backup-simplify]: Simplify -1 into -1 2.193 * [taylor]: Taking taylor expansion of x in x 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ -1 1) into -1 2.194 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.194 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.194 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.194 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.194 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.194 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.194 * [taylor]: Taking taylor expansion of 1 in x 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.194 * [taylor]: Taking taylor expansion of -1 in x 2.194 * [backup-simplify]: Simplify -1 into -1 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (/ -1 1) into -1 2.195 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.195 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.195 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.195 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [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 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [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 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (+ 0 0) into 0 2.207 * [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 2.207 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.216 * [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 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [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 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1)) 2.229 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.229 * [backup-simplify]: Simplify (log1p (- (log1p (exp x)) (* y x))) into (log1p (- (log1p (exp x)) (* x y))) 2.229 * [approximate]: Taking taylor expansion of (log1p (- (log1p (exp x)) (* x y))) in (x y) around 0 2.229 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp x)) (* x y))) in y 2.229 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* x y)))) 2.229 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* x y))) in y 2.229 * [taylor]: Taking taylor expansion of 1 in y 2.229 * [backup-simplify]: Simplify 1 into 1 2.229 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in y 2.229 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y 2.229 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.229 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y 2.229 * [taylor]: Taking taylor expansion of 1 in y 2.229 * [backup-simplify]: Simplify 1 into 1 2.229 * [taylor]: Taking taylor expansion of (exp x) in y 2.229 * [taylor]: Taking taylor expansion of x in y 2.229 * [backup-simplify]: Simplify x into x 2.229 * [backup-simplify]: Simplify (exp x) into (exp x) 2.230 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1) 2.230 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) 2.230 * [taylor]: Taking taylor expansion of (* x y) in y 2.230 * [taylor]: Taking taylor expansion of x in y 2.230 * [backup-simplify]: Simplify x into x 2.230 * [taylor]: Taking taylor expansion of y in y 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (* x 0) into 0 2.230 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ (log (+ (exp x) 1)) 0) into (log (+ (exp x) 1)) 2.230 * [backup-simplify]: Simplify (+ 1 (log (+ (exp x) 1))) into (+ (log (+ (exp x) 1)) 1) 2.231 * [backup-simplify]: Simplify (log (+ (log (+ (exp x) 1)) 1)) into (log (+ (log (+ (exp x) 1)) 1)) 2.231 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp x)) (* x y))) in x 2.231 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* x y)))) 2.231 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* x y))) in x 2.231 * [taylor]: Taking taylor expansion of 1 in x 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 2.231 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.231 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.231 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.231 * [taylor]: Taking taylor expansion of 1 in x 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [taylor]: Taking taylor expansion of (exp x) in x 2.231 * [taylor]: Taking taylor expansion of x in x 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (exp 0) into 1 2.231 * [backup-simplify]: Simplify (+ 1 1) into 2 2.232 * [backup-simplify]: Simplify (log 2) into (log 2) 2.232 * [taylor]: Taking taylor expansion of (* x y) in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [taylor]: Taking taylor expansion of y in x 2.232 * [backup-simplify]: Simplify y into y 2.232 * [backup-simplify]: Simplify (* 0 y) into 0 2.233 * [backup-simplify]: Simplify (- 0) into 0 2.234 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 2.235 * [backup-simplify]: Simplify (+ 1 (log 2)) into (+ (log 2) 1) 2.236 * [backup-simplify]: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) 2.236 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp x)) (* x y))) in x 2.236 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp x)) (* x y)))) 2.236 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp x)) (* x y))) in x 2.236 * [taylor]: Taking taylor expansion of 1 in x 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 2.236 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.236 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.236 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.236 * [taylor]: Taking taylor expansion of 1 in x 2.236 * [backup-simplify]: Simplify 1 into 1 2.237 * [taylor]: Taking taylor expansion of (exp x) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.237 * [backup-simplify]: Simplify (exp 0) into 1 2.237 * [backup-simplify]: Simplify (+ 1 1) into 2 2.237 * [backup-simplify]: Simplify (log 2) into (log 2) 2.237 * [taylor]: Taking taylor expansion of (* x y) in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.237 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [taylor]: Taking taylor expansion of y in x 2.238 * [backup-simplify]: Simplify y into y 2.238 * [backup-simplify]: Simplify (* 0 y) into 0 2.238 * [backup-simplify]: Simplify (- 0) into 0 2.239 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 2.240 * [backup-simplify]: Simplify (+ 1 (log 2)) into (+ (log 2) 1) 2.241 * [backup-simplify]: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) 2.242 * [taylor]: Taking taylor expansion of (log (+ (log 2) 1)) in y 2.242 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 2.242 * [taylor]: Taking taylor expansion of (log 2) in y 2.242 * [taylor]: Taking taylor expansion of 2 in y 2.242 * [backup-simplify]: Simplify 2 into 2 2.244 * [backup-simplify]: Simplify (log 2) into (log 2) 2.244 * [taylor]: Taking taylor expansion of 1 in y 2.244 * [backup-simplify]: Simplify 1 into 1 2.245 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 2.247 * [backup-simplify]: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) 2.249 * [backup-simplify]: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) 2.250 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.250 * [backup-simplify]: Simplify (+ 0 1) into 1 2.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 2.252 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.252 * [backup-simplify]: Simplify (- y) into (- y) 2.252 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y) 2.252 * [backup-simplify]: Simplify (+ 0 (- 1/2 y)) into (- 1/2 y) 2.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1/2 y)) 1)) (pow (+ (log 2) 1) 1)))) 1) into (- (* 1/2 (/ 1 (+ (log 2) 1))) (/ y (+ (log 2) 1))) 2.253 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (log 2) 1))) (/ y (+ (log 2) 1))) in y 2.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (log 2) 1))) in y 2.253 * [taylor]: Taking taylor expansion of 1/2 in y 2.253 * [backup-simplify]: Simplify 1/2 into 1/2 2.253 * [taylor]: Taking taylor expansion of (/ 1 (+ (log 2) 1)) in y 2.253 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 2.253 * [taylor]: Taking taylor expansion of (log 2) in y 2.253 * [taylor]: Taking taylor expansion of 2 in y 2.254 * [backup-simplify]: Simplify 2 into 2 2.254 * [backup-simplify]: Simplify (log 2) into (log 2) 2.254 * [taylor]: Taking taylor expansion of 1 in y 2.254 * [backup-simplify]: Simplify 1 into 1 2.254 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 2.255 * [backup-simplify]: Simplify (/ 1 (+ (log 2) 1)) into (/ 1 (+ (log 2) 1)) 2.255 * [taylor]: Taking taylor expansion of (/ y (+ (log 2) 1)) in y 2.255 * [taylor]: Taking taylor expansion of y in y 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 2.255 * [taylor]: Taking taylor expansion of (log 2) in y 2.255 * [taylor]: Taking taylor expansion of 2 in y 2.255 * [backup-simplify]: Simplify 2 into 2 2.256 * [backup-simplify]: Simplify (log 2) into (log 2) 2.256 * [taylor]: Taking taylor expansion of 1 in y 2.256 * [backup-simplify]: Simplify 1 into 1 2.256 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 2.258 * [backup-simplify]: Simplify (/ 1 (+ (log 2) 1)) into (/ 1 (+ (log 2) 1)) 2.259 * [backup-simplify]: Simplify (* 1/2 (/ 1 (+ (log 2) 1))) into (/ 1/2 (+ (log 2) 1)) 2.261 * [backup-simplify]: Simplify (+ (/ 1/2 (+ (log 2) 1)) 0) into (* 1/2 (/ 1 (+ (log 2) 1))) 2.262 * [backup-simplify]: Simplify (* 1/2 (/ 1 (+ (log 2) 1))) into (/ 1/2 (+ (log 2) 1)) 2.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 2.263 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (log 2) 1) 1)))) 1) into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.266 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.267 * [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 2.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.268 * [backup-simplify]: Simplify (- 0) into 0 2.268 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 2.269 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 2.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1/2 y)) 2)) (pow (+ (log 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ (log 2) 1) 1)))) 2) into (* 1/2 (- (+ (/ y (pow (+ (log 2) 1) 2)) (* 1/4 (/ 1 (+ (log 2) 1)))) (+ (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))) (/ (pow y 2) (pow (+ (log 2) 1) 2))))) 2.273 * [taylor]: Taking taylor expansion of (* 1/2 (- (+ (/ y (pow (+ (log 2) 1) 2)) (* 1/4 (/ 1 (+ (log 2) 1)))) (+ (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))) (/ (pow y 2) (pow (+ (log 2) 1) 2))))) in y 2.273 * [taylor]: Taking taylor expansion of 1/2 in y 2.273 * [backup-simplify]: Simplify 1/2 into 1/2 2.273 * [taylor]: Taking taylor expansion of (- (+ (/ y (pow (+ (log 2) 1) 2)) (* 1/4 (/ 1 (+ (log 2) 1)))) (+ (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))) (/ (pow y 2) (pow (+ (log 2) 1) 2)))) in y 2.273 * [taylor]: Taking taylor expansion of (+ (/ y (pow (+ (log 2) 1) 2)) (* 1/4 (/ 1 (+ (log 2) 1)))) in y 2.273 * [taylor]: Taking taylor expansion of (/ y (pow (+ (log 2) 1) 2)) in y 2.273 * [taylor]: Taking taylor expansion of y in y 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [taylor]: Taking taylor expansion of (pow (+ (log 2) 1) 2) in y 2.273 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 2.273 * [taylor]: Taking taylor expansion of (log 2) in y 2.273 * [taylor]: Taking taylor expansion of 2 in y 2.273 * [backup-simplify]: Simplify 2 into 2 2.273 * [backup-simplify]: Simplify (log 2) into (log 2) 2.273 * [taylor]: Taking taylor expansion of 1 in y 2.273 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 2.275 * [backup-simplify]: Simplify (* (+ (log 2) 1) (+ (log 2) 1)) into (pow (+ (log 2) 1) 2) 2.277 * [backup-simplify]: Simplify (/ 1 (pow (+ (log 2) 1) 2)) into (/ 1 (pow (+ (log 2) 1) 2)) 2.277 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (+ (log 2) 1))) in y 2.277 * [taylor]: Taking taylor expansion of 1/4 in y 2.277 * [backup-simplify]: Simplify 1/4 into 1/4 2.277 * [taylor]: Taking taylor expansion of (/ 1 (+ (log 2) 1)) in y 2.277 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 2.277 * [taylor]: Taking taylor expansion of (log 2) in y 2.277 * [taylor]: Taking taylor expansion of 2 in y 2.277 * [backup-simplify]: Simplify 2 into 2 2.277 * [backup-simplify]: Simplify (log 2) into (log 2) 2.277 * [taylor]: Taking taylor expansion of 1 in y 2.277 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 2.279 * [backup-simplify]: Simplify (/ 1 (+ (log 2) 1)) into (/ 1 (+ (log 2) 1)) 2.279 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))) (/ (pow y 2) (pow (+ (log 2) 1) 2))) in y 2.279 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))) in y 2.279 * [taylor]: Taking taylor expansion of 1/4 in y 2.279 * [backup-simplify]: Simplify 1/4 into 1/4 2.279 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (log 2) 1) 2)) in y 2.279 * [taylor]: Taking taylor expansion of (pow (+ (log 2) 1) 2) in y 2.279 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 2.279 * [taylor]: Taking taylor expansion of (log 2) in y 2.279 * [taylor]: Taking taylor expansion of 2 in y 2.279 * [backup-simplify]: Simplify 2 into 2 2.279 * [backup-simplify]: Simplify (log 2) into (log 2) 2.279 * [taylor]: Taking taylor expansion of 1 in y 2.279 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 2.282 * [backup-simplify]: Simplify (* (+ (log 2) 1) (+ (log 2) 1)) into (pow (+ (log 2) 1) 2) 2.284 * [backup-simplify]: Simplify (/ 1 (pow (+ (log 2) 1) 2)) into (/ 1 (pow (+ (log 2) 1) 2)) 2.285 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow (+ (log 2) 1) 2)) in y 2.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.285 * [taylor]: Taking taylor expansion of y in y 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [taylor]: Taking taylor expansion of (pow (+ (log 2) 1) 2) in y 2.285 * [taylor]: Taking taylor expansion of (+ (log 2) 1) in y 2.285 * [taylor]: Taking taylor expansion of (log 2) in y 2.285 * [taylor]: Taking taylor expansion of 2 in y 2.285 * [backup-simplify]: Simplify 2 into 2 2.285 * [backup-simplify]: Simplify (log 2) into (log 2) 2.285 * [taylor]: Taking taylor expansion of 1 in y 2.285 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (+ (log 2) 1) into (+ (log 2) 1) 2.287 * [backup-simplify]: Simplify (* 1 1) into 1 2.289 * [backup-simplify]: Simplify (* (+ (log 2) 1) (+ (log 2) 1)) into (pow (+ (log 2) 1) 2) 2.292 * [backup-simplify]: Simplify (/ 1 (pow (+ (log 2) 1) 2)) into (/ 1 (pow (+ (log 2) 1) 2)) 2.295 * [backup-simplify]: Simplify (* 1/4 (/ 1 (+ (log 2) 1))) into (/ 1/4 (+ (log 2) 1)) 2.297 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (+ (log 2) 1))) into (* 1/4 (/ 1 (+ (log 2) 1))) 2.299 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))) into (/ 1/4 (pow (+ (log 2) 1) 2)) 2.301 * [backup-simplify]: Simplify (+ (/ 1/4 (pow (+ (log 2) 1) 2)) 0) into (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))) 2.304 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (pow (+ (log 2) 1) 2)))) into (- (* 1/4 (/ 1 (pow (+ (log 2) 1) 2)))) 2.309 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (+ (log 2) 1))) (- (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) into (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2)))) 2.314 * [backup-simplify]: Simplify (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) into (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) 2.319 * [backup-simplify]: Simplify (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) into (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) 2.327 * [backup-simplify]: Simplify (+ (* (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) (pow (* 1 x) 2)) (+ (* (/ 1/2 (+ (log 2) 1)) (* 1 x)) (log (+ (log 2) 1)))) into (- (+ (* 1/8 (/ (pow x 2) (+ (log 2) 1))) (+ (log (+ (log 2) 1)) (* 1/2 (/ x (+ (log 2) 1))))) (* 1/8 (/ (pow x 2) (pow (+ (log 2) 1) 2)))) 2.327 * [backup-simplify]: Simplify (log1p (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x)))) into (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) 2.327 * [approximate]: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in (x y) around 0 2.327 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in y 2.327 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 2.327 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in y 2.327 * [taylor]: Taking taylor expansion of 1 in y 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in y 2.327 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y 2.327 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.327 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y 2.327 * [taylor]: Taking taylor expansion of 1 in y 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.327 * [taylor]: Taking taylor expansion of x in y 2.327 * [backup-simplify]: Simplify x into x 2.327 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.327 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.327 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.327 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.327 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.327 * [taylor]: Taking taylor expansion of (* x y) in y 2.327 * [taylor]: Taking taylor expansion of x in y 2.327 * [backup-simplify]: Simplify x into x 2.327 * [taylor]: Taking taylor expansion of y in y 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (* x 0) into 0 2.328 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.328 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.328 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 2.328 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 2.328 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 2.328 * [backup-simplify]: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) 2.328 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in x 2.328 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 2.328 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in x 2.328 * [taylor]: Taking taylor expansion of 1 in x 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 2.328 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.328 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.328 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.328 * [taylor]: Taking taylor expansion of 1 in x 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.328 * [taylor]: Taking taylor expansion of x in x 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (/ 1 1) into 1 2.329 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.329 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.329 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.329 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.329 * [taylor]: Taking taylor expansion of (* x y) in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [taylor]: Taking taylor expansion of y in x 2.329 * [backup-simplify]: Simplify y into y 2.330 * [backup-simplify]: Simplify (* 0 y) into 0 2.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.330 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.331 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.331 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.331 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.331 * [backup-simplify]: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) 2.331 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in x 2.331 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y))))) 2.331 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ 1 x))) (/ 1 (* x y)))) in x 2.331 * [taylor]: Taking taylor expansion of 1 in x 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 2.331 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.331 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.331 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.331 * [taylor]: Taking taylor expansion of 1 in x 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.332 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.332 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.332 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.332 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.332 * [taylor]: Taking taylor expansion of (* x y) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [taylor]: Taking taylor expansion of y in x 2.333 * [backup-simplify]: Simplify y into y 2.333 * [backup-simplify]: Simplify (* 0 y) into 0 2.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.334 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.334 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.334 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.334 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.334 * [backup-simplify]: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) 2.335 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.335 * [taylor]: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y 2.335 * [taylor]: Taking taylor expansion of (log (- (/ 1 y))) in y 2.335 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.335 * [taylor]: Taking taylor expansion of y in y 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 1 into 1 2.335 * [backup-simplify]: Simplify (/ 1 1) into 1 2.335 * [backup-simplify]: Simplify (- 1) into -1 2.336 * [backup-simplify]: Simplify (- 1) into -1 2.336 * [backup-simplify]: Simplify (log -1) into (log -1) 2.336 * [taylor]: Taking taylor expansion of (log x) in y 2.336 * [taylor]: Taking taylor expansion of x in y 2.336 * [backup-simplify]: Simplify x into x 2.336 * [backup-simplify]: Simplify (log x) into (log x) 2.337 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 2.337 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 2.338 * [backup-simplify]: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log x) (log y))) 2.338 * [backup-simplify]: Simplify (- (log -1) (+ (log x) (log y))) into (- (log -1) (+ (log x) (log y))) 2.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.340 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) 2.340 * [backup-simplify]: Simplify (+ 1 (log (+ (exp (/ 1 x)) 1))) into (+ 1 (log (+ (exp (/ 1 x)) 1))) 2.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) 2.340 * [taylor]: Taking taylor expansion of (* -1 (+ (* y (log (+ (exp (/ 1 x)) 1))) y)) in y 2.340 * [taylor]: Taking taylor expansion of -1 in y 2.340 * [backup-simplify]: Simplify -1 into -1 2.340 * [taylor]: Taking taylor expansion of (+ (* y (log (+ (exp (/ 1 x)) 1))) y) in y 2.340 * [taylor]: Taking taylor expansion of (* y (log (+ (exp (/ 1 x)) 1))) in y 2.340 * [taylor]: Taking taylor expansion of y in y 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 1 into 1 2.341 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.341 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.341 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.341 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.341 * [taylor]: Taking taylor expansion of x in y 2.341 * [backup-simplify]: Simplify x into x 2.341 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.341 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.341 * [taylor]: Taking taylor expansion of 1 in y 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.341 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.341 * [taylor]: Taking taylor expansion of y in y 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (* 0 (log (+ (exp (/ 1 x)) 1))) into 0 2.342 * [backup-simplify]: Simplify (+ 0 0) into 0 2.342 * [backup-simplify]: Simplify (* -1 0) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (- 0) into 0 2.344 * [backup-simplify]: Simplify (- 1) into -1 2.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.346 * [backup-simplify]: Simplify (- 0) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.347 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (+ 0 0) into 0 2.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 2.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.352 * [backup-simplify]: Simplify (- 0) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (+ (pow y 2) (+ (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2))))) 2.354 * [taylor]: Taking taylor expansion of (* -1/2 (+ (pow y 2) (+ (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2))))) in y 2.354 * [taylor]: Taking taylor expansion of -1/2 in y 2.354 * [backup-simplify]: Simplify -1/2 into -1/2 2.355 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) in y 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.355 * [taylor]: Taking taylor expansion of y in y 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [taylor]: Taking taylor expansion of (+ (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2))) in y 2.355 * [taylor]: Taking taylor expansion of (* 2 (* (pow y 2) (log (+ (exp (/ 1 x)) 1)))) in y 2.355 * [taylor]: Taking taylor expansion of 2 in y 2.355 * [backup-simplify]: Simplify 2 into 2 2.355 * [taylor]: Taking taylor expansion of (* (pow y 2) (log (+ (exp (/ 1 x)) 1))) in y 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.355 * [taylor]: Taking taylor expansion of y in y 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.355 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.355 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.355 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.355 * [taylor]: Taking taylor expansion of x in y 2.355 * [backup-simplify]: Simplify x into x 2.355 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.355 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.355 * [taylor]: Taking taylor expansion of 1 in y 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.355 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.355 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.355 * [taylor]: Taking taylor expansion of y in y 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y 2.356 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.356 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.356 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.356 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.356 * [taylor]: Taking taylor expansion of x in y 2.356 * [backup-simplify]: Simplify x into x 2.356 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.356 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.356 * [taylor]: Taking taylor expansion of 1 in y 2.356 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.356 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.357 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 2.358 * [backup-simplify]: Simplify (+ 0 0) into 0 2.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 2.359 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (log (+ (exp (/ 1 x)) 1)))) into (log (+ (exp (/ 1 x)) 1)) 2.359 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 1) into (+ 1 (log (+ (exp (/ 1 x)) 1))) 2.360 * [backup-simplify]: Simplify (+ (* -1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) (* 0 0)) into (- (+ 1 (log (+ (exp (/ 1 x)) 1)))) 2.360 * [backup-simplify]: Simplify (- (+ 1 (log (+ (exp (/ 1 x)) 1)))) into (- (+ 1 (log (+ (exp (/ 1 x)) 1)))) 2.360 * [backup-simplify]: Simplify (- 0) into 0 2.361 * [backup-simplify]: Simplify (- 1) into -1 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify (- 1) into -1 2.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.367 * [backup-simplify]: Simplify (- 0) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.370 * [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 2.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.372 * [backup-simplify]: Simplify (- 0) into 0 2.372 * [backup-simplify]: Simplify (+ 0 0) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (log (+ (exp (/ 1 x)) 1)))) (* 6 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) 2.374 * [taylor]: Taking taylor expansion of (* -1/6 (+ (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (log (+ (exp (/ 1 x)) 1)))) (* 6 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) in y 2.374 * [taylor]: Taking taylor expansion of -1/6 in y 2.374 * [backup-simplify]: Simplify -1/6 into -1/6 2.374 * [taylor]: Taking taylor expansion of (+ (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (log (+ (exp (/ 1 x)) 1)))) (* 6 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2)))))) in y 2.374 * [taylor]: Taking taylor expansion of (* 2 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3))) in y 2.374 * [taylor]: Taking taylor expansion of 2 in y 2.374 * [backup-simplify]: Simplify 2 into 2 2.374 * [taylor]: Taking taylor expansion of (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 3)) in y 2.374 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.374 * [taylor]: Taking taylor expansion of y in y 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 3) in y 2.374 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.374 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.374 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.374 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.374 * [taylor]: Taking taylor expansion of x in y 2.374 * [backup-simplify]: Simplify x into x 2.374 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.374 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.374 * [taylor]: Taking taylor expansion of 1 in y 2.374 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.375 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.375 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 3)) (+ (* 6 (* (pow y 3) (log (+ (exp (/ 1 x)) 1)))) (* 6 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2))))) in y 2.375 * [taylor]: Taking taylor expansion of (* 2 (pow y 3)) in y 2.375 * [taylor]: Taking taylor expansion of 2 in y 2.375 * [backup-simplify]: Simplify 2 into 2 2.375 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.375 * [taylor]: Taking taylor expansion of y in y 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [taylor]: Taking taylor expansion of (+ (* 6 (* (pow y 3) (log (+ (exp (/ 1 x)) 1)))) (* 6 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) in y 2.375 * [taylor]: Taking taylor expansion of (* 6 (* (pow y 3) (log (+ (exp (/ 1 x)) 1)))) in y 2.375 * [taylor]: Taking taylor expansion of 6 in y 2.375 * [backup-simplify]: Simplify 6 into 6 2.375 * [taylor]: Taking taylor expansion of (* (pow y 3) (log (+ (exp (/ 1 x)) 1))) in y 2.375 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.375 * [taylor]: Taking taylor expansion of y in y 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.375 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.375 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.375 * [taylor]: Taking taylor expansion of x in y 2.375 * [backup-simplify]: Simplify x into x 2.375 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.375 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.375 * [taylor]: Taking taylor expansion of 1 in y 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.375 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.375 * [taylor]: Taking taylor expansion of (* 6 (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2))) in y 2.375 * [taylor]: Taking taylor expansion of 6 in y 2.375 * [backup-simplify]: Simplify 6 into 6 2.375 * [taylor]: Taking taylor expansion of (* (pow y 3) (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y 2.375 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.375 * [taylor]: Taking taylor expansion of y in y 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y 2.375 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.375 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.375 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.375 * [taylor]: Taking taylor expansion of x in y 2.375 * [backup-simplify]: Simplify x into x 2.375 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.375 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.375 * [taylor]: Taking taylor expansion of 1 in y 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.376 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.377 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.377 * [backup-simplify]: Simplify (+ 0 0) into 0 2.378 * [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 2.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log (+ (exp (/ 1 x)) 1))))) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (+ 1 (log (+ (exp (/ 1 x)) 1)))) (* 0 0))) into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.380 * [backup-simplify]: Simplify (- 1) into -1 2.380 * [backup-simplify]: Simplify (- 0) into 0 2.380 * [backup-simplify]: Simplify (- 0) into 0 2.380 * [backup-simplify]: Simplify (- 1) into -1 2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.381 * [backup-simplify]: Simplify (- 1) into -1 2.385 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 2.386 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 2.387 * [backup-simplify]: Simplify (- 0) into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.389 * [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 2.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.390 * [backup-simplify]: Simplify (- 0) into 0 2.391 * [backup-simplify]: Simplify (+ 0 0) into 0 2.391 * [backup-simplify]: Simplify (+ 0 0) into 0 2.393 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (+ 1 (log (+ (exp (/ 1 x)) 1)))) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/24 (+ (* 6 (pow y 4)) (+ (* 6 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (+ (* 24 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 24 (* (pow y 4) (log (+ (exp (/ 1 x)) 1)))) (* 36 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2)))))))) 2.394 * [taylor]: Taking taylor expansion of (* -1/24 (+ (* 6 (pow y 4)) (+ (* 6 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (+ (* 24 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 24 (* (pow y 4) (log (+ (exp (/ 1 x)) 1)))) (* 36 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2)))))))) in y 2.394 * [taylor]: Taking taylor expansion of -1/24 in y 2.394 * [backup-simplify]: Simplify -1/24 into -1/24 2.394 * [taylor]: Taking taylor expansion of (+ (* 6 (pow y 4)) (+ (* 6 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (+ (* 24 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 24 (* (pow y 4) (log (+ (exp (/ 1 x)) 1)))) (* 36 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2))))))) in y 2.394 * [taylor]: Taking taylor expansion of (* 6 (pow y 4)) in y 2.394 * [taylor]: Taking taylor expansion of 6 in y 2.394 * [backup-simplify]: Simplify 6 into 6 2.394 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.394 * [taylor]: Taking taylor expansion of y in y 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [taylor]: Taking taylor expansion of (+ (* 6 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (+ (* 24 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 24 (* (pow y 4) (log (+ (exp (/ 1 x)) 1)))) (* 36 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2)))))) in y 2.394 * [taylor]: Taking taylor expansion of (* 6 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4))) in y 2.394 * [taylor]: Taking taylor expansion of 6 in y 2.394 * [backup-simplify]: Simplify 6 into 6 2.394 * [taylor]: Taking taylor expansion of (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 4)) in y 2.394 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.394 * [taylor]: Taking taylor expansion of y in y 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 4) in y 2.394 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.394 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.394 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.394 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.394 * [taylor]: Taking taylor expansion of x in y 2.394 * [backup-simplify]: Simplify x into x 2.394 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.394 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.394 * [taylor]: Taking taylor expansion of 1 in y 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.394 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.394 * [taylor]: Taking taylor expansion of (+ (* 24 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (+ (* 24 (* (pow y 4) (log (+ (exp (/ 1 x)) 1)))) (* 36 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2))))) in y 2.394 * [taylor]: Taking taylor expansion of (* 24 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 3))) in y 2.394 * [taylor]: Taking taylor expansion of 24 in y 2.394 * [backup-simplify]: Simplify 24 into 24 2.394 * [taylor]: Taking taylor expansion of (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 3)) in y 2.394 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.394 * [taylor]: Taking taylor expansion of y in y 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 1 into 1 2.394 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 3) in y 2.394 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.394 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.395 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.395 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.395 * [taylor]: Taking taylor expansion of x in y 2.395 * [backup-simplify]: Simplify x into x 2.395 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.395 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.395 * [taylor]: Taking taylor expansion of 1 in y 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.395 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.395 * [taylor]: Taking taylor expansion of (+ (* 24 (* (pow y 4) (log (+ (exp (/ 1 x)) 1)))) (* 36 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2)))) in y 2.395 * [taylor]: Taking taylor expansion of (* 24 (* (pow y 4) (log (+ (exp (/ 1 x)) 1)))) in y 2.395 * [taylor]: Taking taylor expansion of 24 in y 2.395 * [backup-simplify]: Simplify 24 into 24 2.395 * [taylor]: Taking taylor expansion of (* (pow y 4) (log (+ (exp (/ 1 x)) 1))) in y 2.395 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.395 * [taylor]: Taking taylor expansion of y in y 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.395 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.395 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.395 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.395 * [taylor]: Taking taylor expansion of x in y 2.395 * [backup-simplify]: Simplify x into x 2.395 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.395 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.395 * [taylor]: Taking taylor expansion of 1 in y 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.395 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.395 * [taylor]: Taking taylor expansion of (* 36 (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2))) in y 2.395 * [taylor]: Taking taylor expansion of 36 in y 2.395 * [backup-simplify]: Simplify 36 into 36 2.395 * [taylor]: Taking taylor expansion of (* (pow y 4) (pow (log (+ (exp (/ 1 x)) 1)) 2)) in y 2.395 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.395 * [taylor]: Taking taylor expansion of y in y 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ 1 x)) 1)) 2) in y 2.395 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.395 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.395 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.395 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.395 * [taylor]: Taking taylor expansion of x in y 2.395 * [backup-simplify]: Simplify x into x 2.395 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.396 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.396 * [taylor]: Taking taylor expansion of 1 in y 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.396 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.396 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (* 1 (log (+ (exp (/ 1 x)) 1))) into (log (+ (exp (/ 1 x)) 1)) 2.397 * [backup-simplify]: Simplify (* 2 (log (+ (exp (/ 1 x)) 1))) into (* 2 (log (+ (exp (/ 1 x)) 1))) 2.397 * [backup-simplify]: Simplify (* 1 1) into 1 2.397 * [backup-simplify]: Simplify (* (log (+ (exp (/ 1 x)) 1)) (log (+ (exp (/ 1 x)) 1))) into (pow (log (+ (exp (/ 1 x)) 1)) 2) 2.398 * [backup-simplify]: Simplify (* 1 (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (pow (log (+ (exp (/ 1 x)) 1)) 2) 2.398 * [backup-simplify]: Simplify (+ (* 2 (log (+ (exp (/ 1 x)) 1))) (pow (log (+ (exp (/ 1 x)) 1)) 2)) into (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) (* 2 (log (+ (exp (/ 1 x)) 1)))) 2.398 * [backup-simplify]: Simplify (+ 1 (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) (* 2 (log (+ (exp (/ 1 x)) 1))))) into (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) (+ 1 (* 2 (log (+ (exp (/ 1 x)) 1))))) 2.399 * [backup-simplify]: Simplify (* -1/2 (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) (+ 1 (* 2 (log (+ (exp (/ 1 x)) 1)))))) into (* -1/2 (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) (+ 1 (* 2 (log (+ (exp (/ 1 x)) 1)))))) 2.399 * [backup-simplify]: Simplify (* -1/2 (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) (+ 1 (* 2 (log (+ (exp (/ 1 x)) 1)))))) into (* -1/2 (+ (pow (log (+ (exp (/ 1 x)) 1)) 2) (+ 1 (* 2 (log (+ (exp (/ 1 x)) 1)))))) 2.401 * [backup-simplify]: Simplify (+ (* (* -1/2 (+ (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 2) (+ 1 (* 2 (log (+ (exp (/ 1 (/ 1 x))) 1)))))) (pow (* (/ 1 y) (/ 1 x)) 2)) (+ (* (- (+ 1 (log (+ (exp (/ 1 (/ 1 x))) 1)))) (* (/ 1 y) (/ 1 x))) (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y)))))) into (- (log -1) (+ (log (/ 1 x)) (+ (/ 1 (* x y)) (+ (log (/ 1 y)) (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ (log (+ (exp x) 1)) (* x y)) (+ (* 1/2 (/ (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2)))) (/ (log (+ (exp x) 1)) (* (pow x 2) (pow y 2)))))))))) 2.401 * [backup-simplify]: Simplify (log1p (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x))))) into (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) 2.401 * [approximate]: Taking taylor expansion of (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in (x y) around 0 2.401 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in y 2.401 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 2.401 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in y 2.401 * [taylor]: Taking taylor expansion of 1 in y 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in y 2.401 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y 2.401 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.401 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y 2.401 * [taylor]: Taking taylor expansion of 1 in y 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.401 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.401 * [taylor]: Taking taylor expansion of -1 in y 2.401 * [backup-simplify]: Simplify -1 into -1 2.401 * [taylor]: Taking taylor expansion of x in y 2.402 * [backup-simplify]: Simplify x into x 2.402 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.402 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.402 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.402 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.402 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.402 * [taylor]: Taking taylor expansion of (* x y) in y 2.402 * [taylor]: Taking taylor expansion of x in y 2.402 * [backup-simplify]: Simplify x into x 2.402 * [taylor]: Taking taylor expansion of y in y 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [backup-simplify]: Simplify (* x 0) into 0 2.403 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.403 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.403 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 2.403 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 2.403 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 2.403 * [backup-simplify]: Simplify (log (- (/ 1 x))) into (log (- (/ 1 x))) 2.403 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in x 2.403 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 2.403 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in x 2.403 * [taylor]: Taking taylor expansion of 1 in x 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 2.403 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.403 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.403 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.403 * [taylor]: Taking taylor expansion of 1 in x 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.404 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.404 * [taylor]: Taking taylor expansion of -1 in x 2.404 * [backup-simplify]: Simplify -1 into -1 2.404 * [taylor]: Taking taylor expansion of x in x 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 1 into 1 2.404 * [backup-simplify]: Simplify (/ -1 1) into -1 2.404 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.404 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.404 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.404 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.404 * [taylor]: Taking taylor expansion of (* x y) in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [taylor]: Taking taylor expansion of y in x 2.405 * [backup-simplify]: Simplify y into y 2.405 * [backup-simplify]: Simplify (* 0 y) into 0 2.405 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.405 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.405 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.405 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.405 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.406 * [backup-simplify]: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) 2.406 * [taylor]: Taking taylor expansion of (log1p (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in x 2.406 * [taylor]: Rewrote expression to (log (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y))))) 2.406 * [taylor]: Taking taylor expansion of (+ 1 (- (log1p (exp (/ -1 x))) (/ 1 (* x y)))) in x 2.406 * [taylor]: Taking taylor expansion of 1 in x 2.406 * [backup-simplify]: Simplify 1 into 1 2.406 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 2.406 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.406 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.406 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.406 * [taylor]: Taking taylor expansion of 1 in x 2.406 * [backup-simplify]: Simplify 1 into 1 2.406 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.406 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.406 * [taylor]: Taking taylor expansion of -1 in x 2.406 * [backup-simplify]: Simplify -1 into -1 2.406 * [taylor]: Taking taylor expansion of x in x 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ -1 1) into -1 2.407 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.407 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.407 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.407 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.407 * [taylor]: Taking taylor expansion of (* x y) in x 2.407 * [taylor]: Taking taylor expansion of x in x 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [taylor]: Taking taylor expansion of y in x 2.407 * [backup-simplify]: Simplify y into y 2.407 * [backup-simplify]: Simplify (* 0 y) into 0 2.408 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.408 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.408 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.408 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.408 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.408 * [backup-simplify]: Simplify (log (- (/ 1 y))) into (log (- (/ 1 y))) 2.409 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log (- (/ 1 y)))) into (- (log (- (/ 1 y))) (log x)) 2.409 * [taylor]: Taking taylor expansion of (- (log (- (/ 1 y))) (log x)) in y 2.409 * [taylor]: Taking taylor expansion of (log (- (/ 1 y))) in y 2.409 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.409 * [taylor]: Taking taylor expansion of y in y 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (/ 1 1) into 1 2.410 * [backup-simplify]: Simplify (- 1) into -1 2.410 * [backup-simplify]: Simplify (- 1) into -1 2.410 * [backup-simplify]: Simplify (log -1) into (log -1) 2.410 * [taylor]: Taking taylor expansion of (log x) in y 2.410 * [taylor]: Taking taylor expansion of x in y 2.410 * [backup-simplify]: Simplify x into x 2.410 * [backup-simplify]: Simplify (log x) into (log x) 2.411 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 2.411 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 2.412 * [backup-simplify]: Simplify (+ (- (log -1) (log y)) (- (log x))) into (- (log -1) (+ (log x) (log y))) 2.412 * [backup-simplify]: Simplify (- (log -1) (+ (log x) (log y))) into (- (log -1) (+ (log x) (log y))) 2.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.414 * [backup-simplify]: Simplify (- 0) into 0 2.414 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) 2.414 * [backup-simplify]: Simplify (+ 1 (log (+ (exp (/ -1 x)) 1))) into (+ (log (+ (exp (/ -1 x)) 1)) 1) 2.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 1)) (pow (- (/ 1 y)) 1)))) 1) into (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) 2.414 * [taylor]: Taking taylor expansion of (* -1 (+ (* (log (+ (exp (/ -1 x)) 1)) y) y)) in y 2.415 * [taylor]: Taking taylor expansion of -1 in y 2.415 * [backup-simplify]: Simplify -1 into -1 2.415 * [taylor]: Taking taylor expansion of (+ (* (log (+ (exp (/ -1 x)) 1)) y) y) in y 2.415 * [taylor]: Taking taylor expansion of (* (log (+ (exp (/ -1 x)) 1)) y) in y 2.415 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.415 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.415 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.415 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.415 * [taylor]: Taking taylor expansion of -1 in y 2.415 * [backup-simplify]: Simplify -1 into -1 2.415 * [taylor]: Taking taylor expansion of x in y 2.415 * [backup-simplify]: Simplify x into x 2.415 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.415 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.415 * [taylor]: Taking taylor expansion of 1 in y 2.415 * [backup-simplify]: Simplify 1 into 1 2.415 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.415 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.415 * [taylor]: Taking taylor expansion of y in y 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.415 * [taylor]: Taking taylor expansion of y in y 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.416 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) 0) into 0 2.416 * [backup-simplify]: Simplify (+ 0 0) into 0 2.416 * [backup-simplify]: Simplify (* -1 0) into 0 2.416 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.418 * [backup-simplify]: Simplify (- 0) into 0 2.418 * [backup-simplify]: Simplify (- 1) into -1 2.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.421 * [backup-simplify]: Simplify (- 0) into 0 2.421 * [backup-simplify]: Simplify (+ 0 0) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (+ 0 0) into 0 2.423 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 2.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.424 * [backup-simplify]: Simplify (- 0) into 0 2.425 * [backup-simplify]: Simplify (+ 0 0) into 0 2.425 * [backup-simplify]: Simplify (+ 0 0) into 0 2.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 2)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (/ 1 y)) 1)))) 2) into (* -1/2 (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2)))))) 2.427 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2)))))) in y 2.427 * [taylor]: Taking taylor expansion of -1/2 in y 2.427 * [backup-simplify]: Simplify -1/2 into -1/2 2.427 * [taylor]: Taking taylor expansion of (+ (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) (+ (pow y 2) (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2))))) in y 2.427 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 2)) in y 2.427 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y 2.427 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.427 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.427 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.427 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.427 * [taylor]: Taking taylor expansion of -1 in y 2.427 * [backup-simplify]: Simplify -1 into -1 2.427 * [taylor]: Taking taylor expansion of x in y 2.427 * [backup-simplify]: Simplify x into x 2.427 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.427 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.427 * [taylor]: Taking taylor expansion of 1 in y 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.427 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.428 * [taylor]: Taking taylor expansion of y in y 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2)))) in y 2.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.428 * [taylor]: Taking taylor expansion of y in y 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [taylor]: Taking taylor expansion of (* 2 (* (log (+ (exp (/ -1 x)) 1)) (pow y 2))) in y 2.428 * [taylor]: Taking taylor expansion of 2 in y 2.428 * [backup-simplify]: Simplify 2 into 2 2.428 * [taylor]: Taking taylor expansion of (* (log (+ (exp (/ -1 x)) 1)) (pow y 2)) in y 2.428 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.428 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.428 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.428 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.428 * [taylor]: Taking taylor expansion of -1 in y 2.428 * [backup-simplify]: Simplify -1 into -1 2.428 * [taylor]: Taking taylor expansion of x in y 2.428 * [backup-simplify]: Simplify x into x 2.428 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.428 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.428 * [taylor]: Taking taylor expansion of 1 in y 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.428 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.428 * [taylor]: Taking taylor expansion of y in y 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.430 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 2.431 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 1) (* 0 0)) into (log (+ (exp (/ -1 x)) 1)) 2.431 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 1) into (+ (log (+ (exp (/ -1 x)) 1)) 1) 2.432 * [backup-simplify]: Simplify (+ (* -1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) (* 0 0)) into (- (+ (log (+ (exp (/ -1 x)) 1)) 1)) 2.432 * [backup-simplify]: Simplify (- (+ (log (+ (exp (/ -1 x)) 1)) 1)) into (- (+ (log (+ (exp (/ -1 x)) 1)) 1)) 2.432 * [backup-simplify]: Simplify (- 0) into 0 2.433 * [backup-simplify]: Simplify (- 1) into -1 2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (- 0) into 0 2.434 * [backup-simplify]: Simplify (- 1) into -1 2.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.439 * [backup-simplify]: Simplify (- 0) into 0 2.439 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.442 * [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 2.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.443 * [backup-simplify]: Simplify (- 0) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 3)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 1) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 1)))) 6) into (* -1/6 (+ (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3))) (+ (* 6 (* (log (+ (exp (/ -1 x)) 1)) (pow y 3))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3))) (* 2 (pow y 3)))))) 2.446 * [taylor]: Taking taylor expansion of (* -1/6 (+ (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3))) (+ (* 6 (* (log (+ (exp (/ -1 x)) 1)) (pow y 3))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3))) (* 2 (pow y 3)))))) in y 2.446 * [taylor]: Taking taylor expansion of -1/6 in y 2.446 * [backup-simplify]: Simplify -1/6 into -1/6 2.446 * [taylor]: Taking taylor expansion of (+ (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3))) (+ (* 6 (* (log (+ (exp (/ -1 x)) 1)) (pow y 3))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3))) (* 2 (pow y 3))))) in y 2.447 * [taylor]: Taking taylor expansion of (* 2 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3))) in y 2.447 * [taylor]: Taking taylor expansion of 2 in y 2.447 * [backup-simplify]: Simplify 2 into 2 2.447 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 3)) in y 2.447 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 3) in y 2.447 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.447 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.447 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.447 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.447 * [taylor]: Taking taylor expansion of -1 in y 2.447 * [backup-simplify]: Simplify -1 into -1 2.447 * [taylor]: Taking taylor expansion of x in y 2.447 * [backup-simplify]: Simplify x into x 2.447 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.447 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.447 * [taylor]: Taking taylor expansion of 1 in y 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.447 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.447 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.447 * [taylor]: Taking taylor expansion of y in y 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [taylor]: Taking taylor expansion of (+ (* 6 (* (log (+ (exp (/ -1 x)) 1)) (pow y 3))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3))) (* 2 (pow y 3)))) in y 2.447 * [taylor]: Taking taylor expansion of (* 6 (* (log (+ (exp (/ -1 x)) 1)) (pow y 3))) in y 2.447 * [taylor]: Taking taylor expansion of 6 in y 2.447 * [backup-simplify]: Simplify 6 into 6 2.447 * [taylor]: Taking taylor expansion of (* (log (+ (exp (/ -1 x)) 1)) (pow y 3)) in y 2.447 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.447 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.447 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.447 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.447 * [taylor]: Taking taylor expansion of -1 in y 2.447 * [backup-simplify]: Simplify -1 into -1 2.448 * [taylor]: Taking taylor expansion of x in y 2.448 * [backup-simplify]: Simplify x into x 2.448 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.448 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.448 * [taylor]: Taking taylor expansion of 1 in y 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.448 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.448 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.448 * [taylor]: Taking taylor expansion of y in y 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3))) (* 2 (pow y 3))) in y 2.448 * [taylor]: Taking taylor expansion of (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3))) in y 2.448 * [taylor]: Taking taylor expansion of 6 in y 2.448 * [backup-simplify]: Simplify 6 into 6 2.448 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 3)) in y 2.448 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y 2.448 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.448 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.448 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.448 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.448 * [taylor]: Taking taylor expansion of -1 in y 2.448 * [backup-simplify]: Simplify -1 into -1 2.448 * [taylor]: Taking taylor expansion of x in y 2.448 * [backup-simplify]: Simplify x into x 2.448 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.448 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.448 * [taylor]: Taking taylor expansion of 1 in y 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.449 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.449 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.449 * [taylor]: Taking taylor expansion of y in y 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [taylor]: Taking taylor expansion of (* 2 (pow y 3)) in y 2.449 * [taylor]: Taking taylor expansion of 2 in y 2.449 * [backup-simplify]: Simplify 2 into 2 2.449 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.449 * [taylor]: Taking taylor expansion of y in y 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.450 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.451 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [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 2.453 * [backup-simplify]: Simplify (+ (* (log (+ (exp (/ -1 x)) 1)) 0) (+ (* 0 1) (* 0 0))) into 0 2.454 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (+ (log (+ (exp (/ -1 x)) 1)) 1)) (* 0 0))) into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify (- 1) into -1 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.457 * [backup-simplify]: Simplify (- 1) into -1 2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (- 0) into 0 2.458 * [backup-simplify]: Simplify (- 1) into -1 2.464 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 2.467 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 2.468 * [backup-simplify]: Simplify (- 0) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [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 2.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.474 * [backup-simplify]: Simplify (- 0) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 4)) (pow (- (/ 1 y)) 4))) (* 12 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 2) (pow (* 2 0) 1)) (pow (- (/ 1 y)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (/ 1 y)) 2))) (* -4 (/ (* (pow (* 1 (+ (log (+ (exp (/ -1 x)) 1)) 1)) 1) 1 (pow (* 6 0) 1)) (pow (- (/ 1 y)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (/ 1 y)) 1)))) 24) into (* -1/24 (+ (* 6 (pow y 4)) (+ (* 24 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 4))) (+ (* 24 (* (log (+ (exp (/ -1 x)) 1)) (pow y 4))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) (* 36 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4)))))))) 2.480 * [taylor]: Taking taylor expansion of (* -1/24 (+ (* 6 (pow y 4)) (+ (* 24 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 4))) (+ (* 24 (* (log (+ (exp (/ -1 x)) 1)) (pow y 4))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) (* 36 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4)))))))) in y 2.480 * [taylor]: Taking taylor expansion of -1/24 in y 2.480 * [backup-simplify]: Simplify -1/24 into -1/24 2.480 * [taylor]: Taking taylor expansion of (+ (* 6 (pow y 4)) (+ (* 24 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 4))) (+ (* 24 (* (log (+ (exp (/ -1 x)) 1)) (pow y 4))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) (* 36 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4))))))) in y 2.480 * [taylor]: Taking taylor expansion of (* 6 (pow y 4)) in y 2.480 * [taylor]: Taking taylor expansion of 6 in y 2.480 * [backup-simplify]: Simplify 6 into 6 2.480 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.480 * [taylor]: Taking taylor expansion of y in y 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [taylor]: Taking taylor expansion of (+ (* 24 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 4))) (+ (* 24 (* (log (+ (exp (/ -1 x)) 1)) (pow y 4))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) (* 36 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4)))))) in y 2.480 * [taylor]: Taking taylor expansion of (* 24 (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 4))) in y 2.480 * [taylor]: Taking taylor expansion of 24 in y 2.480 * [backup-simplify]: Simplify 24 into 24 2.481 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 3) (pow y 4)) in y 2.481 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 3) in y 2.481 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.481 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.481 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.481 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.481 * [taylor]: Taking taylor expansion of -1 in y 2.481 * [backup-simplify]: Simplify -1 into -1 2.481 * [taylor]: Taking taylor expansion of x in y 2.481 * [backup-simplify]: Simplify x into x 2.481 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.481 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.481 * [taylor]: Taking taylor expansion of 1 in y 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.481 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.481 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.481 * [taylor]: Taking taylor expansion of y in y 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [taylor]: Taking taylor expansion of (+ (* 24 (* (log (+ (exp (/ -1 x)) 1)) (pow y 4))) (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) (* 36 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4))))) in y 2.481 * [taylor]: Taking taylor expansion of (* 24 (* (log (+ (exp (/ -1 x)) 1)) (pow y 4))) in y 2.481 * [taylor]: Taking taylor expansion of 24 in y 2.482 * [backup-simplify]: Simplify 24 into 24 2.482 * [taylor]: Taking taylor expansion of (* (log (+ (exp (/ -1 x)) 1)) (pow y 4)) in y 2.482 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.482 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.482 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.482 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.482 * [taylor]: Taking taylor expansion of -1 in y 2.482 * [backup-simplify]: Simplify -1 into -1 2.482 * [taylor]: Taking taylor expansion of x in y 2.482 * [backup-simplify]: Simplify x into x 2.482 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.482 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.482 * [taylor]: Taking taylor expansion of 1 in y 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.482 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.482 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.482 * [taylor]: Taking taylor expansion of y in y 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [taylor]: Taking taylor expansion of (+ (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) (* 36 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4)))) in y 2.482 * [taylor]: Taking taylor expansion of (* 6 (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4))) in y 2.482 * [taylor]: Taking taylor expansion of 6 in y 2.482 * [backup-simplify]: Simplify 6 into 6 2.482 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 4) (pow y 4)) in y 2.483 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 4) in y 2.483 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.483 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.483 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.483 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.483 * [taylor]: Taking taylor expansion of -1 in y 2.483 * [backup-simplify]: Simplify -1 into -1 2.483 * [taylor]: Taking taylor expansion of x in y 2.483 * [backup-simplify]: Simplify x into x 2.483 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.483 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.483 * [taylor]: Taking taylor expansion of 1 in y 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.483 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.483 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.483 * [taylor]: Taking taylor expansion of y in y 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.483 * [taylor]: Taking taylor expansion of (* 36 (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4))) in y 2.483 * [taylor]: Taking taylor expansion of 36 in y 2.483 * [backup-simplify]: Simplify 36 into 36 2.483 * [taylor]: Taking taylor expansion of (* (pow (log (+ (exp (/ -1 x)) 1)) 2) (pow y 4)) in y 2.483 * [taylor]: Taking taylor expansion of (pow (log (+ (exp (/ -1 x)) 1)) 2) in y 2.483 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.484 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.484 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.484 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.484 * [taylor]: Taking taylor expansion of -1 in y 2.484 * [backup-simplify]: Simplify -1 into -1 2.484 * [taylor]: Taking taylor expansion of x in y 2.484 * [backup-simplify]: Simplify x into x 2.484 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.484 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.484 * [taylor]: Taking taylor expansion of 1 in y 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.484 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.484 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.484 * [taylor]: Taking taylor expansion of y in y 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) (log (+ (exp (/ -1 x)) 1))) into (pow (log (+ (exp (/ -1 x)) 1)) 2) 2.488 * [backup-simplify]: Simplify (* 1 1) into 1 2.488 * [backup-simplify]: Simplify (* (pow (log (+ (exp (/ -1 x)) 1)) 2) 1) into (pow (log (+ (exp (/ -1 x)) 1)) 2) 2.489 * [backup-simplify]: Simplify (* 1 1) into 1 2.490 * [backup-simplify]: Simplify (* 1 1) into 1 2.490 * [backup-simplify]: Simplify (* (log (+ (exp (/ -1 x)) 1)) 1) into (log (+ (exp (/ -1 x)) 1)) 2.490 * [backup-simplify]: Simplify (* 2 (log (+ (exp (/ -1 x)) 1))) into (* 2 (log (+ (exp (/ -1 x)) 1))) 2.490 * [backup-simplify]: Simplify (+ 1 (* 2 (log (+ (exp (/ -1 x)) 1)))) into (+ (* 2 (log (+ (exp (/ -1 x)) 1))) 1) 2.490 * [backup-simplify]: Simplify (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) (+ (* 2 (log (+ (exp (/ -1 x)) 1))) 1)) into (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) (+ (* 2 (log (+ (exp (/ -1 x)) 1))) 1)) 2.491 * [backup-simplify]: Simplify (* -1/2 (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) (+ (* 2 (log (+ (exp (/ -1 x)) 1))) 1))) into (* -1/2 (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) (+ (* 2 (log (+ (exp (/ -1 x)) 1))) 1))) 2.491 * [backup-simplify]: Simplify (* -1/2 (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) (+ (* 2 (log (+ (exp (/ -1 x)) 1))) 1))) into (* -1/2 (+ (pow (log (+ (exp (/ -1 x)) 1)) 2) (+ (* 2 (log (+ (exp (/ -1 x)) 1))) 1))) 2.493 * [backup-simplify]: Simplify (+ (* (* -1/2 (+ (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 2) (+ (* 2 (log (+ (exp (/ -1 (/ 1 (- x)))) 1))) 1))) (pow (* (/ 1 (- y)) (/ 1 (- x))) 2)) (+ (* (- (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1)) (* (/ 1 (- y)) (/ 1 (- x)))) (- (log -1) (+ (log (/ 1 (- x))) (log (/ 1 (- y))))))) into (- (log -1) (+ (* 1/2 (/ (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2)))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ (log (+ (exp x) 1)) (* x y)) (+ (log (/ -1 x)) (+ (log (/ -1 y)) (+ (/ 1 (* x y)) (/ (log (+ (exp x) 1)) (* (pow x 2) (pow y 2)))))))))) 2.493 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.494 * [backup-simplify]: Simplify (- (log1p (exp x)) (* y x)) into (- (log1p (exp x)) (* x y)) 2.494 * [approximate]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in (x y) around 0 2.494 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in y 2.494 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y 2.494 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.494 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y 2.494 * [taylor]: Taking taylor expansion of 1 in y 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [taylor]: Taking taylor expansion of (exp x) in y 2.494 * [taylor]: Taking taylor expansion of x in y 2.494 * [backup-simplify]: Simplify x into x 2.494 * [backup-simplify]: Simplify (exp x) into (exp x) 2.494 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1) 2.494 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) 2.494 * [taylor]: Taking taylor expansion of (* x y) in y 2.494 * [taylor]: Taking taylor expansion of x in y 2.494 * [backup-simplify]: Simplify x into x 2.494 * [taylor]: Taking taylor expansion of y in y 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 2.494 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.495 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.495 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.495 * [taylor]: Taking taylor expansion of 1 in x 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [taylor]: Taking taylor expansion of (exp x) in x 2.495 * [taylor]: Taking taylor expansion of x in x 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (exp 0) into 1 2.495 * [backup-simplify]: Simplify (+ 1 1) into 2 2.496 * [backup-simplify]: Simplify (log 2) into (log 2) 2.496 * [taylor]: Taking taylor expansion of (* x y) in x 2.496 * [taylor]: Taking taylor expansion of x in x 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.496 * [taylor]: Taking taylor expansion of y in x 2.496 * [backup-simplify]: Simplify y into y 2.496 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 2.496 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.496 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.496 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.496 * [taylor]: Taking taylor expansion of 1 in x 2.496 * [backup-simplify]: Simplify 1 into 1 2.496 * [taylor]: Taking taylor expansion of (exp x) in x 2.496 * [taylor]: Taking taylor expansion of x in x 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (exp 0) into 1 2.497 * [backup-simplify]: Simplify (+ 1 1) into 2 2.497 * [backup-simplify]: Simplify (log 2) into (log 2) 2.497 * [taylor]: Taking taylor expansion of (* x y) in x 2.497 * [taylor]: Taking taylor expansion of x in x 2.497 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify 1 into 1 2.497 * [taylor]: Taking taylor expansion of y in x 2.497 * [backup-simplify]: Simplify y into y 2.497 * [backup-simplify]: Simplify (* 0 y) into 0 2.498 * [backup-simplify]: Simplify (- 0) into 0 2.499 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 2.499 * [taylor]: Taking taylor expansion of (log 2) in y 2.499 * [taylor]: Taking taylor expansion of 2 in y 2.499 * [backup-simplify]: Simplify 2 into 2 2.499 * [backup-simplify]: Simplify (log 2) into (log 2) 2.500 * [backup-simplify]: Simplify (log 2) into (log 2) 2.501 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.501 * [backup-simplify]: Simplify (+ 0 1) into 1 2.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 2.503 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.504 * [backup-simplify]: Simplify (- y) into (- y) 2.504 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y) 2.504 * [taylor]: Taking taylor expansion of (- 1/2 y) in y 2.504 * [taylor]: Taking taylor expansion of 1/2 in y 2.504 * [backup-simplify]: Simplify 1/2 into 1/2 2.504 * [taylor]: Taking taylor expansion of y in y 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 1 into 1 2.504 * [backup-simplify]: Simplify (- 0) into 0 2.505 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.505 * [backup-simplify]: Simplify 1/2 into 1/2 2.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.510 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.513 * [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 2.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.514 * [backup-simplify]: Simplify (- 0) into 0 2.514 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 2.514 * [taylor]: Taking taylor expansion of 1/8 in y 2.514 * [backup-simplify]: Simplify 1/8 into 1/8 2.514 * [backup-simplify]: Simplify 1/8 into 1/8 2.514 * [backup-simplify]: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 2.515 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) into (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) 2.515 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in (x y) around 0 2.515 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in y 2.515 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y 2.515 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.515 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y 2.515 * [taylor]: Taking taylor expansion of 1 in y 2.515 * [backup-simplify]: Simplify 1 into 1 2.515 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.515 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.515 * [taylor]: Taking taylor expansion of x in y 2.515 * [backup-simplify]: Simplify x into x 2.515 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.515 * [taylor]: Taking taylor expansion of (* x y) in y 2.515 * [taylor]: Taking taylor expansion of x in y 2.515 * [backup-simplify]: Simplify x into x 2.515 * [taylor]: Taking taylor expansion of y in y 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (* x 0) into 0 2.515 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.515 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.515 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 2.515 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.516 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.516 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.516 * [taylor]: Taking taylor expansion of 1 in x 2.516 * [backup-simplify]: Simplify 1 into 1 2.516 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (/ 1 1) into 1 2.516 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.516 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.516 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.516 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.516 * [taylor]: Taking taylor expansion of (* x y) in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 1 into 1 2.516 * [taylor]: Taking taylor expansion of y in x 2.516 * [backup-simplify]: Simplify y into y 2.516 * [backup-simplify]: Simplify (* 0 y) into 0 2.516 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.516 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.517 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 2.517 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.517 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.517 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.517 * [taylor]: Taking taylor expansion of 1 in x 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (/ 1 1) into 1 2.517 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.517 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.517 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.517 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.517 * [taylor]: Taking taylor expansion of (* x y) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [taylor]: Taking taylor expansion of y in x 2.517 * [backup-simplify]: Simplify y into y 2.517 * [backup-simplify]: Simplify (* 0 y) into 0 2.517 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.518 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.518 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.518 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.518 * [taylor]: Taking taylor expansion of y in y 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [backup-simplify]: Simplify (/ 1 1) into 1 2.518 * [backup-simplify]: Simplify (- 1) into -1 2.518 * [backup-simplify]: Simplify -1 into -1 2.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.519 * [backup-simplify]: Simplify (- 0) into 0 2.519 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) 2.519 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 2.519 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 2.519 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 2.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.519 * [taylor]: Taking taylor expansion of x in y 2.519 * [backup-simplify]: Simplify x into x 2.519 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.519 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.519 * [taylor]: Taking taylor expansion of 1 in y 2.519 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 2.519 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 2.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.522 * [backup-simplify]: Simplify (- 0) into 0 2.522 * [backup-simplify]: Simplify (+ 0 0) into 0 2.522 * [taylor]: Taking taylor expansion of 0 in y 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.523 * [backup-simplify]: Simplify (- 0) into 0 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [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 2.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.526 * [backup-simplify]: Simplify (- 0) into 0 2.526 * [backup-simplify]: Simplify (+ 0 0) into 0 2.526 * [taylor]: Taking taylor expansion of 0 in y 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.527 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (- 0) into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (+ 0 0) into 0 2.530 * [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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.532 * [backup-simplify]: Simplify (- 0) into 0 2.532 * [backup-simplify]: Simplify (+ 0 0) into 0 2.532 * [taylor]: Taking taylor expansion of 0 in y 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y)) 2.532 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) into (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) 2.532 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in (x y) around 0 2.532 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in y 2.532 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y 2.532 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.533 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y 2.533 * [taylor]: Taking taylor expansion of 1 in y 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.533 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.533 * [taylor]: Taking taylor expansion of -1 in y 2.533 * [backup-simplify]: Simplify -1 into -1 2.533 * [taylor]: Taking taylor expansion of x in y 2.533 * [backup-simplify]: Simplify x into x 2.533 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.533 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.533 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.533 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.533 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.533 * [taylor]: Taking taylor expansion of (* x y) in y 2.533 * [taylor]: Taking taylor expansion of x in y 2.533 * [backup-simplify]: Simplify x into x 2.533 * [taylor]: Taking taylor expansion of y in y 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (* x 0) into 0 2.533 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.533 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.533 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 2.533 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.533 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.533 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.533 * [taylor]: Taking taylor expansion of 1 in x 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.533 * [taylor]: Taking taylor expansion of -1 in x 2.533 * [backup-simplify]: Simplify -1 into -1 2.533 * [taylor]: Taking taylor expansion of x in x 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [backup-simplify]: Simplify (/ -1 1) into -1 2.534 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.534 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.534 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.534 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.534 * [taylor]: Taking taylor expansion of (* x y) in x 2.534 * [taylor]: Taking taylor expansion of x in x 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [taylor]: Taking taylor expansion of y in x 2.534 * [backup-simplify]: Simplify y into y 2.534 * [backup-simplify]: Simplify (* 0 y) into 0 2.535 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.535 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.535 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 2.535 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.535 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.535 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.535 * [taylor]: Taking taylor expansion of 1 in x 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.535 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.535 * [taylor]: Taking taylor expansion of -1 in x 2.535 * [backup-simplify]: Simplify -1 into -1 2.535 * [taylor]: Taking taylor expansion of x in x 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [backup-simplify]: Simplify (/ -1 1) into -1 2.535 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.535 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.535 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.535 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.535 * [taylor]: Taking taylor expansion of (* x y) in x 2.535 * [taylor]: Taking taylor expansion of x in x 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.535 * [taylor]: Taking taylor expansion of y in x 2.535 * [backup-simplify]: Simplify y into y 2.535 * [backup-simplify]: Simplify (* 0 y) into 0 2.536 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.536 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.536 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.536 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.536 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.536 * [taylor]: Taking taylor expansion of y in y 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 1 into 1 2.536 * [backup-simplify]: Simplify (/ 1 1) into 1 2.536 * [backup-simplify]: Simplify (- 1) into -1 2.536 * [backup-simplify]: Simplify -1 into -1 2.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.537 * [backup-simplify]: Simplify (- 0) into 0 2.537 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) 2.537 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 2.537 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 2.537 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 2.537 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.538 * [taylor]: Taking taylor expansion of -1 in y 2.538 * [backup-simplify]: Simplify -1 into -1 2.538 * [taylor]: Taking taylor expansion of x in y 2.538 * [backup-simplify]: Simplify x into x 2.538 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.538 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.538 * [taylor]: Taking taylor expansion of 1 in y 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 2.538 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (- 0) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 2.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.540 * [backup-simplify]: Simplify (- 0) into 0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.541 * [taylor]: Taking taylor expansion of 0 in y 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (- 0) into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify (+ 0 0) into 0 2.545 * [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 2.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.546 * [backup-simplify]: Simplify (- 0) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.546 * [taylor]: Taking taylor expansion of 0 in y 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.547 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 2.547 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (- 0) into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify (+ 0 0) into 0 2.550 * [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 2.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.552 * [backup-simplify]: Simplify (- 0) into 0 2.552 * [backup-simplify]: Simplify (+ 0 0) into 0 2.552 * [taylor]: Taking taylor expansion of 0 in y 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) 2.553 * * * [progress]: simplifying candidates 2.553 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 12 / 70 ] simplifiying candidate #real (real->posit16 (expm1 (log1p (- (log1p (exp x)) (* y x)))))))> 2.553 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 16 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 24 / 70 ] simplifiying candidate #real (real->posit16 (log1p (exp x)))) (* y x)))))> 2.553 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 2.553 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 32 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 36 / 70 ] simplifiying candidate #real (real->posit16 (log1p (- (log1p (exp x)) (* y x)))))))> 2.554 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 48 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 2.554 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (- (log1p (exp x)) (* y x)))))))> 2.555 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 2.555 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 2.556 * [simplify]: Simplifying: (exp (log1p (- (log1p (exp x)) (* y x)))) (expm1 (expm1 (log1p (- (log1p (exp x)) (* y x))))) (log1p (expm1 (log1p (- (log1p (exp x)) (* y x))))) (log (expm1 (log1p (- (log1p (exp x)) (* y x))))) (exp (expm1 (log1p (- (log1p (exp x)) (* y x))))) (* (cbrt (expm1 (log1p (- (log1p (exp x)) (* y x))))) (cbrt (expm1 (log1p (- (log1p (exp x)) (* y x)))))) (cbrt (expm1 (log1p (- (log1p (exp x)) (* y x))))) (* (* (expm1 (log1p (- (log1p (exp x)) (* y x)))) (expm1 (log1p (- (log1p (exp x)) (* y x))))) (expm1 (log1p (- (log1p (exp x)) (* y x))))) (sqrt (expm1 (log1p (- (log1p (exp x)) (* y x))))) (sqrt (expm1 (log1p (- (log1p (exp x)) (* y x))))) (real->posit16 (expm1 (log1p (- (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))) (+ 1 (- (log1p (exp x)) (* y x))) (expm1 (log1p (- (log1p (exp x)) (* y x)))) (log1p (log1p (- (log1p (exp x)) (* y x)))) (log (log1p (- (log1p (exp x)) (* y x)))) (exp (log1p (- (log1p (exp x)) (* y x)))) (* (cbrt (log1p (- (log1p (exp x)) (* y x)))) (cbrt (log1p (- (log1p (exp x)) (* y x))))) (cbrt (log1p (- (log1p (exp x)) (* y x)))) (* (* (log1p (- (log1p (exp x)) (* y x))) (log1p (- (log1p (exp x)) (* y x)))) (log1p (- (log1p (exp x)) (* y x)))) (sqrt (log1p (- (log1p (exp x)) (* y x)))) (sqrt (log1p (- (log1p (exp x)) (* y x)))) (real->posit16 (log1p (- (log1p (exp x)) (* y 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) (+ (* 1/8 (pow x 2)) (+ (* 1/2 (/ (* (log 2) x) (+ (log 2) 1))) (* 1/2 (/ x (+ (log 2) 1)))))) (- (exp (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y))))) (+ (/ (* (log (+ (exp x) 1)) (exp (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y)))))) (* x y)) (+ (/ (exp (- (log -1) (+ (log (/ 1 x)) (log (/ 1 y))))) (* x y)) 1))) (- (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (+ (/ (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 y))))) (* x y)) (+ 1 (/ (* (exp (- (log -1) (+ (log (/ -1 x)) (log (/ -1 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)) (- (+ (* 1/8 (/ (pow x 2) (+ (log 2) 1))) (+ (log (+ (log 2) 1)) (* 1/2 (/ x (+ (log 2) 1))))) (* 1/8 (/ (pow x 2) (pow (+ (log 2) 1) 2)))) (- (log -1) (+ (log (/ 1 x)) (+ (/ 1 (* x y)) (+ (log (/ 1 y)) (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ (log (+ (exp x) 1)) (* x y)) (+ (* 1/2 (/ (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2)))) (/ (log (+ (exp x) 1)) (* (pow x 2) (pow y 2)))))))))) (- (log -1) (+ (* 1/2 (/ (pow (log (+ (exp x) 1)) 2) (* (pow x 2) (pow y 2)))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ (log (+ (exp x) 1)) (* x y)) (+ (log (/ -1 x)) (+ (log (/ -1 y)) (+ (/ 1 (* x y)) (/ (log (+ (exp x) 1)) (* (pow x 2) (pow y 2)))))))))) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (- (log (+ (exp x) 1)) (* x y)) (- (log (+ (exp x) 1)) (* x y)) 2.557 * * [simplify]: iteration 0: 152 enodes 2.601 * * [simplify]: iteration 1: 385 enodes 2.759 * * [simplify]: iteration 2: 1231 enodes 3.053 * * [simplify]: iteration 3: 2006 enodes 3.463 * * [simplify]: iteration complete: 2006 enodes 3.463 * * [simplify]: Extracting #0: cost 45 inf + 0 3.464 * * [simplify]: Extracting #1: cost 202 inf + 0 3.468 * * [simplify]: Extracting #2: cost 528 inf + 1732 3.477 * * [simplify]: Extracting #3: cost 477 inf + 19566 3.506 * * [simplify]: Extracting #4: cost 199 inf + 94845 3.568 * * [simplify]: Extracting #5: cost 18 inf + 167644 3.630 * * [simplify]: Extracting #6: cost 0 inf + 179253 3.696 * * [simplify]: Extracting #7: cost 0 inf + 179228 3.736 * [simplify]: Simplified to: (exp (log1p (- (log1p (exp x)) (* y x)))) (expm1 (- (log1p (exp x)) (* y x))) (log1p (- (log1p (exp x)) (* 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))) (real->posit16 (- (log1p (exp x)) (* y x))) (+ 1 (exp x)) (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))) (+ 1 (- (log1p (exp x)) (* y x))) (- (log1p (exp x)) (* y x)) (log1p (log1p (- (log1p (exp x)) (* y x)))) (log (log1p (- (log1p (exp x)) (* y x)))) (exp (log1p (- (log1p (exp x)) (* y x)))) (* (cbrt (log1p (- (log1p (exp x)) (* y x)))) (cbrt (log1p (- (log1p (exp x)) (* y x))))) (cbrt (log1p (- (log1p (exp x)) (* y x)))) (* (log1p (- (log1p (exp x)) (* y x))) (* (log1p (- (log1p (exp x)) (* y x))) (log1p (- (log1p (exp x)) (* y x))))) (sqrt (log1p (- (log1p (exp x)) (* y x)))) (sqrt (log1p (- (log1p (exp x)) (* y x)))) (real->posit16 (log1p (- (log1p (exp x)) (* y x)))) (- (* (cbrt (log1p (exp x))) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (* y x)) (* x (+ (- y) y)) (- (log1p (exp x)) (* y x)) (* x (+ (- y) y)) (- (log1p (exp x)) (* y x)) (* x (+ (- y) y)) (expm1 (- (log1p (exp x)) (* y x))) (log1p (- (log1p (exp x)) (* y x))) (* (- x) y) (* (- x) y) (* (- x) y) (/ (+ 1 (exp x)) (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) (+ (log1p (exp x)) (* y x)) (* (log1p (exp x)) (log1p (exp x)))) (* (- x) y) (* (+ (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x))) (fma y x (log1p (exp x))) (* (- x) y) (real->posit16 (- (log1p (exp x)) (* y x))) (fma 1/8 (* x x) (fma 1/2 (fma (/ (log 2) (+ (log 2) 1)) x (/ x (+ (log 2) 1))) (log 2))) (- (/ -1 (* (/ 1 x) (/ 1 y))) (fma (/ (/ -1 (* (/ 1 x) (/ 1 y))) y) (/ (log1p (exp x)) x) (+ 1 (/ (/ -1 (* (/ 1 x) (/ 1 y))) (* y x))))) (- (/ -1 (* (/ -1 y) (/ -1 x))) (fma (/ (/ -1 (* (/ -1 y) (/ -1 x))) (* y x)) (log1p (exp x)) (+ 1 (/ (/ -1 (* (/ -1 y) (/ -1 x))) (* y x))))) (fma 1/2 x (fma 1/8 (* x x) (log 2))) (log1p (exp x)) (log1p (exp x)) (fma (* (/ x (+ (log 2) 1)) (/ x (+ (log 2) 1))) -1/8 (fma (/ x (+ (log 2) 1)) 1/2 (fma (/ x (/ (+ (log 2) 1) x)) 1/8 (log1p (log 2))))) (- (log -1) (- (+ (+ (- (/ 1 (* y x)) (log y)) (/ 1/2 (* (* y x) (* y x)))) (fma 1/2 (* (/ (/ (log1p (exp x)) x) y) (/ (/ (log1p (exp x)) x) y)) (+ (/ (log1p (exp x)) (* (* y x) (* y x))) (/ (/ (log1p (exp x)) x) y)))) (log x))) (- (log -1) (+ (fma 1/2 (* (/ (/ (log1p (exp x)) x) y) (/ (/ (log1p (exp x)) x) y)) (+ (/ 1/2 (* (* y x) (* y x))) (/ (/ (log1p (exp x)) x) y))) (+ (log (/ -1 x)) (+ (/ 1 (* y x)) (+ (/ (log1p (exp x)) (* (* y x) (* y x))) (log (/ -1 y))))))) (fma 1/2 x (fma 1/8 (* x x) (log 2))) (- (log1p (exp x)) (* y x)) (- (log1p (exp x)) (* y x)) 3.741 * * * [progress]: adding candidates to table 4.090 * * [progress]: iteration 3 / 4 4.090 * * * [progress]: picking best candidate 4.093 * * * * [pick]: Picked # 4.093 * * * [progress]: localizing error 4.110 * * * [progress]: generating rewritten candidates 4.110 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.120 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.121 * * * [progress]: generating series expansions 4.121 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.122 * [backup-simplify]: Simplify (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) into (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) 4.122 * [approximate]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in (x y) around 0 4.122 * [taylor]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in y 4.123 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in y 4.123 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.123 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in y 4.123 * [taylor]: Taking taylor expansion of x in y 4.123 * [backup-simplify]: Simplify x into x 4.123 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in y 4.123 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.123 * [taylor]: Taking taylor expansion of (* x 1/8) in y 4.123 * [taylor]: Taking taylor expansion of x in y 4.123 * [backup-simplify]: Simplify x into x 4.123 * [taylor]: Taking taylor expansion of 1/8 in y 4.123 * [backup-simplify]: Simplify 1/8 into 1/8 4.123 * [taylor]: Taking taylor expansion of 1/2 in y 4.123 * [backup-simplify]: Simplify 1/2 into 1/2 4.123 * [taylor]: Taking taylor expansion of (log 2) in y 4.123 * [taylor]: Taking taylor expansion of 2 in y 4.123 * [backup-simplify]: Simplify 2 into 2 4.123 * [backup-simplify]: Simplify (log 2) into (log 2) 4.124 * [taylor]: Taking taylor expansion of (* x y) in y 4.124 * [taylor]: Taking taylor expansion of x in y 4.124 * [backup-simplify]: Simplify x into x 4.124 * [taylor]: Taking taylor expansion of y in y 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [taylor]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in x 4.124 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 4.124 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.124 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 4.124 * [taylor]: Taking taylor expansion of x in x 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 4.124 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.124 * [taylor]: Taking taylor expansion of (* x 1/8) in x 4.124 * [taylor]: Taking taylor expansion of x in x 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [taylor]: Taking taylor expansion of 1/8 in x 4.124 * [backup-simplify]: Simplify 1/8 into 1/8 4.124 * [taylor]: Taking taylor expansion of 1/2 in x 4.124 * [backup-simplify]: Simplify 1/2 into 1/2 4.124 * [taylor]: Taking taylor expansion of (log 2) in x 4.124 * [taylor]: Taking taylor expansion of 2 in x 4.124 * [backup-simplify]: Simplify 2 into 2 4.125 * [backup-simplify]: Simplify (log 2) into (log 2) 4.125 * [taylor]: Taking taylor expansion of (* x y) in x 4.125 * [taylor]: Taking taylor expansion of x in x 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of y in x 4.125 * [backup-simplify]: Simplify y into y 4.125 * [taylor]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in x 4.125 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 4.125 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.125 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 4.125 * [taylor]: Taking taylor expansion of x in x 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 4.125 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.125 * [taylor]: Taking taylor expansion of (* x 1/8) in x 4.125 * [taylor]: Taking taylor expansion of x in x 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of 1/8 in x 4.126 * [backup-simplify]: Simplify 1/8 into 1/8 4.126 * [taylor]: Taking taylor expansion of 1/2 in x 4.126 * [backup-simplify]: Simplify 1/2 into 1/2 4.126 * [taylor]: Taking taylor expansion of (log 2) in x 4.126 * [taylor]: Taking taylor expansion of 2 in x 4.126 * [backup-simplify]: Simplify 2 into 2 4.126 * [backup-simplify]: Simplify (log 2) into (log 2) 4.126 * [taylor]: Taking taylor expansion of (* x y) in x 4.126 * [taylor]: Taking taylor expansion of x in x 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [taylor]: Taking taylor expansion of y in x 4.126 * [backup-simplify]: Simplify y into y 4.127 * [backup-simplify]: Simplify (* 0 1/8) into 0 4.127 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.128 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.129 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.129 * [backup-simplify]: Simplify (* 0 y) into 0 4.129 * [backup-simplify]: Simplify (- 0) into 0 4.130 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 4.130 * [taylor]: Taking taylor expansion of (log 2) in y 4.130 * [taylor]: Taking taylor expansion of 2 in y 4.130 * [backup-simplify]: Simplify 2 into 2 4.130 * [backup-simplify]: Simplify (log 2) into (log 2) 4.131 * [backup-simplify]: Simplify (log 2) into (log 2) 4.131 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 4.132 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.133 * [backup-simplify]: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 4.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.134 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.135 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.135 * [backup-simplify]: Simplify (- y) into (- y) 4.135 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y) 4.135 * [taylor]: Taking taylor expansion of (- 1/2 y) in y 4.135 * [taylor]: Taking taylor expansion of 1/2 in y 4.135 * [backup-simplify]: Simplify 1/2 into 1/2 4.135 * [taylor]: Taking taylor expansion of y in y 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (- 0) into 0 4.136 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.136 * [backup-simplify]: Simplify 1/2 into 1/2 4.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 4.139 * [backup-simplify]: Simplify (+ 0 0) into 0 4.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 4.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 4.143 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.144 * [backup-simplify]: Simplify (- 0) into 0 4.145 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.145 * [taylor]: Taking taylor expansion of 1/8 in y 4.145 * [backup-simplify]: Simplify 1/8 into 1/8 4.145 * [backup-simplify]: Simplify 1/8 into 1/8 4.146 * [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)))) 4.146 * [backup-simplify]: Simplify (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (* (/ 1 y) (/ 1 x))) into (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) 4.146 * [approximate]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in (x y) around 0 4.146 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in y 4.146 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in y 4.146 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.146 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in y 4.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.146 * [taylor]: Taking taylor expansion of x in y 4.147 * [backup-simplify]: Simplify x into x 4.147 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.147 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in y 4.147 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.147 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in y 4.147 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.147 * [taylor]: Taking taylor expansion of x in y 4.147 * [backup-simplify]: Simplify x into x 4.147 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.147 * [taylor]: Taking taylor expansion of 1/8 in y 4.147 * [backup-simplify]: Simplify 1/8 into 1/8 4.147 * [taylor]: Taking taylor expansion of 1/2 in y 4.147 * [backup-simplify]: Simplify 1/2 into 1/2 4.147 * [taylor]: Taking taylor expansion of (log 2) in y 4.147 * [taylor]: Taking taylor expansion of 2 in y 4.147 * [backup-simplify]: Simplify 2 into 2 4.147 * [backup-simplify]: Simplify (log 2) into (log 2) 4.147 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.148 * [taylor]: Taking taylor expansion of (* x y) in y 4.148 * [taylor]: Taking taylor expansion of x in y 4.148 * [backup-simplify]: Simplify x into x 4.148 * [taylor]: Taking taylor expansion of y in y 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [backup-simplify]: Simplify (* x 0) into 0 4.148 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.148 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.148 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 4.148 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 4.148 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.148 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 4.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.148 * [taylor]: Taking taylor expansion of x in x 4.148 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.149 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 4.149 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.149 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 4.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.149 * [taylor]: Taking taylor expansion of x in x 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.150 * [taylor]: Taking taylor expansion of 1/8 in x 4.150 * [backup-simplify]: Simplify 1/8 into 1/8 4.150 * [taylor]: Taking taylor expansion of 1/2 in x 4.150 * [backup-simplify]: Simplify 1/2 into 1/2 4.150 * [taylor]: Taking taylor expansion of (log 2) in x 4.150 * [taylor]: Taking taylor expansion of 2 in x 4.150 * [backup-simplify]: Simplify 2 into 2 4.150 * [backup-simplify]: Simplify (log 2) into (log 2) 4.150 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.150 * [taylor]: Taking taylor expansion of (* x y) in x 4.150 * [taylor]: Taking taylor expansion of x in x 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.151 * [taylor]: Taking taylor expansion of y in x 4.151 * [backup-simplify]: Simplify y into y 4.151 * [backup-simplify]: Simplify (* 0 y) into 0 4.151 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.151 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.151 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 4.151 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 4.151 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.151 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 4.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.151 * [taylor]: Taking taylor expansion of x in x 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ 1 1) into 1 4.152 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 4.152 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.152 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 4.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.152 * [taylor]: Taking taylor expansion of x in x 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ 1 1) into 1 4.152 * [taylor]: Taking taylor expansion of 1/8 in x 4.152 * [backup-simplify]: Simplify 1/8 into 1/8 4.152 * [taylor]: Taking taylor expansion of 1/2 in x 4.152 * [backup-simplify]: Simplify 1/2 into 1/2 4.152 * [taylor]: Taking taylor expansion of (log 2) in x 4.152 * [taylor]: Taking taylor expansion of 2 in x 4.152 * [backup-simplify]: Simplify 2 into 2 4.153 * [backup-simplify]: Simplify (log 2) into (log 2) 4.153 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.153 * [taylor]: Taking taylor expansion of (* x y) in x 4.153 * [taylor]: Taking taylor expansion of x in x 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [taylor]: Taking taylor expansion of y in x 4.153 * [backup-simplify]: Simplify y into y 4.153 * [backup-simplify]: Simplify (* 0 y) into 0 4.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.154 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 4.155 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.155 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 4.156 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.156 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.156 * [taylor]: Taking taylor expansion of 1/8 in y 4.156 * [backup-simplify]: Simplify 1/8 into 1/8 4.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 4.163 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 4.165 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.165 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.165 * [backup-simplify]: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) 4.166 * [taylor]: Taking taylor expansion of (- 1/2 (/ 1 y)) in y 4.166 * [taylor]: Taking taylor expansion of 1/2 in y 4.166 * [backup-simplify]: Simplify 1/2 into 1/2 4.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.166 * [taylor]: Taking taylor expansion of y in y 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ 1 1) into 1 4.166 * [backup-simplify]: Simplify (- 1) into -1 4.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.167 * [backup-simplify]: Simplify -1 into -1 4.167 * [backup-simplify]: Simplify 1/8 into 1/8 4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 4.172 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.173 * [backup-simplify]: Simplify (- 0) into 0 4.174 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 4.174 * [taylor]: Taking taylor expansion of (log 2) in y 4.174 * [taylor]: Taking taylor expansion of 2 in y 4.174 * [backup-simplify]: Simplify 2 into 2 4.175 * [backup-simplify]: Simplify (log 2) into (log 2) 4.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.176 * [backup-simplify]: Simplify (- 0) into 0 4.176 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.176 * [backup-simplify]: Simplify 1/2 into 1/2 4.177 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (/ 1 (/ 1 x)))) (+ (* 1/8 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) 4.177 * [backup-simplify]: Simplify (- (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) into (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) 4.177 * [approximate]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in (x y) around 0 4.178 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in y 4.178 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in y 4.178 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.178 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in y 4.178 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.178 * [taylor]: Taking taylor expansion of -1 in y 4.178 * [backup-simplify]: Simplify -1 into -1 4.178 * [taylor]: Taking taylor expansion of x in y 4.178 * [backup-simplify]: Simplify x into x 4.178 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.178 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in y 4.178 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.178 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in y 4.178 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.178 * [taylor]: Taking taylor expansion of -1 in y 4.178 * [backup-simplify]: Simplify -1 into -1 4.178 * [taylor]: Taking taylor expansion of x in y 4.178 * [backup-simplify]: Simplify x into x 4.178 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.178 * [taylor]: Taking taylor expansion of 1/8 in y 4.178 * [backup-simplify]: Simplify 1/8 into 1/8 4.178 * [taylor]: Taking taylor expansion of 1/2 in y 4.178 * [backup-simplify]: Simplify 1/2 into 1/2 4.178 * [taylor]: Taking taylor expansion of (log 2) in y 4.178 * [taylor]: Taking taylor expansion of 2 in y 4.178 * [backup-simplify]: Simplify 2 into 2 4.179 * [backup-simplify]: Simplify (log 2) into (log 2) 4.179 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.179 * [taylor]: Taking taylor expansion of (* x y) in y 4.179 * [taylor]: Taking taylor expansion of x in y 4.179 * [backup-simplify]: Simplify x into x 4.179 * [taylor]: Taking taylor expansion of y in y 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [backup-simplify]: Simplify (* x 0) into 0 4.179 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.179 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 4.180 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 4.180 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.180 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 4.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.180 * [taylor]: Taking taylor expansion of -1 in x 4.180 * [backup-simplify]: Simplify -1 into -1 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (/ -1 1) into -1 4.180 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 4.180 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.180 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 4.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.180 * [taylor]: Taking taylor expansion of -1 in x 4.180 * [backup-simplify]: Simplify -1 into -1 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (/ -1 1) into -1 4.181 * [taylor]: Taking taylor expansion of 1/8 in x 4.181 * [backup-simplify]: Simplify 1/8 into 1/8 4.181 * [taylor]: Taking taylor expansion of 1/2 in x 4.181 * [backup-simplify]: Simplify 1/2 into 1/2 4.181 * [taylor]: Taking taylor expansion of (log 2) in x 4.181 * [taylor]: Taking taylor expansion of 2 in x 4.181 * [backup-simplify]: Simplify 2 into 2 4.181 * [backup-simplify]: Simplify (log 2) into (log 2) 4.182 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.182 * [taylor]: Taking taylor expansion of (* x y) in x 4.182 * [taylor]: Taking taylor expansion of x in x 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify 1 into 1 4.182 * [taylor]: Taking taylor expansion of y in x 4.182 * [backup-simplify]: Simplify y into y 4.182 * [backup-simplify]: Simplify (* 0 y) into 0 4.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.182 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 4.182 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 4.182 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.182 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 4.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.182 * [taylor]: Taking taylor expansion of -1 in x 4.182 * [backup-simplify]: Simplify -1 into -1 4.182 * [taylor]: Taking taylor expansion of x in x 4.182 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [backup-simplify]: Simplify (/ -1 1) into -1 4.183 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 4.183 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.183 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 4.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.183 * [taylor]: Taking taylor expansion of -1 in x 4.183 * [backup-simplify]: Simplify -1 into -1 4.183 * [taylor]: Taking taylor expansion of x in x 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.184 * [backup-simplify]: Simplify (/ -1 1) into -1 4.184 * [taylor]: Taking taylor expansion of 1/8 in x 4.184 * [backup-simplify]: Simplify 1/8 into 1/8 4.184 * [taylor]: Taking taylor expansion of 1/2 in x 4.184 * [backup-simplify]: Simplify 1/2 into 1/2 4.184 * [taylor]: Taking taylor expansion of (log 2) in x 4.184 * [taylor]: Taking taylor expansion of 2 in x 4.184 * [backup-simplify]: Simplify 2 into 2 4.184 * [backup-simplify]: Simplify (log 2) into (log 2) 4.184 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.184 * [taylor]: Taking taylor expansion of (* x y) in x 4.184 * [taylor]: Taking taylor expansion of x in x 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.184 * [taylor]: Taking taylor expansion of y in x 4.184 * [backup-simplify]: Simplify y into y 4.184 * [backup-simplify]: Simplify (* 0 y) into 0 4.185 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.185 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.185 * [backup-simplify]: Simplify (* -1 1/8) into -1/8 4.186 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 4.186 * [backup-simplify]: Simplify (* -1 -1/8) into 1/8 4.187 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.187 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.187 * [taylor]: Taking taylor expansion of 1/8 in y 4.187 * [backup-simplify]: Simplify 1/8 into 1/8 4.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/8)) into 0 4.189 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 4.191 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.192 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.192 * [backup-simplify]: Simplify (+ -1/2 (- (/ 1 y))) into (- (+ 1/2 (/ 1 y))) 4.192 * [taylor]: Taking taylor expansion of (- (+ 1/2 (/ 1 y))) in y 4.192 * [taylor]: Taking taylor expansion of (+ 1/2 (/ 1 y)) in y 4.192 * [taylor]: Taking taylor expansion of 1/2 in y 4.192 * [backup-simplify]: Simplify 1/2 into 1/2 4.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.192 * [taylor]: Taking taylor expansion of y in y 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (/ 1 1) into 1 4.193 * [backup-simplify]: Simplify (+ 0 1) into 1 4.193 * [backup-simplify]: Simplify (- 1) into -1 4.193 * [backup-simplify]: Simplify -1 into -1 4.193 * [backup-simplify]: Simplify 1/8 into 1/8 4.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 4.196 * [backup-simplify]: Simplify (+ 0 0) into 0 4.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 4.199 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.200 * [backup-simplify]: Simplify (- 0) into 0 4.201 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 4.201 * [taylor]: Taking taylor expansion of (log 2) in y 4.201 * [taylor]: Taking taylor expansion of 2 in y 4.201 * [backup-simplify]: Simplify 2 into 2 4.202 * [backup-simplify]: Simplify (log 2) into (log 2) 4.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.203 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.203 * [backup-simplify]: Simplify -1/2 into -1/2 4.204 * [backup-simplify]: Simplify (+ (* -1/2 (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1/8 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) 4.204 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.205 * [backup-simplify]: Simplify (fma x (fma x 1/8 1/2) (log 2)) into (fma x (fma x 1/8 1/2) (log 2)) 4.205 * [approximate]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in (x) around 0 4.205 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 4.205 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.205 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 4.205 * [taylor]: Taking taylor expansion of x in x 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 4.205 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.205 * [taylor]: Taking taylor expansion of (* x 1/8) in x 4.205 * [taylor]: Taking taylor expansion of x in x 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [taylor]: Taking taylor expansion of 1/8 in x 4.205 * [backup-simplify]: Simplify 1/8 into 1/8 4.205 * [taylor]: Taking taylor expansion of 1/2 in x 4.205 * [backup-simplify]: Simplify 1/2 into 1/2 4.206 * [taylor]: Taking taylor expansion of (log 2) in x 4.206 * [taylor]: Taking taylor expansion of 2 in x 4.206 * [backup-simplify]: Simplify 2 into 2 4.206 * [backup-simplify]: Simplify (log 2) into (log 2) 4.206 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 4.206 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.206 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 4.206 * [taylor]: Taking taylor expansion of x in x 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 4.206 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.206 * [taylor]: Taking taylor expansion of (* x 1/8) in x 4.206 * [taylor]: Taking taylor expansion of x in x 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [taylor]: Taking taylor expansion of 1/8 in x 4.206 * [backup-simplify]: Simplify 1/8 into 1/8 4.206 * [taylor]: Taking taylor expansion of 1/2 in x 4.206 * [backup-simplify]: Simplify 1/2 into 1/2 4.206 * [taylor]: Taking taylor expansion of (log 2) in x 4.206 * [taylor]: Taking taylor expansion of 2 in x 4.207 * [backup-simplify]: Simplify 2 into 2 4.207 * [backup-simplify]: Simplify (log 2) into (log 2) 4.207 * [backup-simplify]: Simplify (* 0 1/8) into 0 4.208 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.208 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.209 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.210 * [backup-simplify]: Simplify (log 2) into (log 2) 4.210 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 4.211 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.212 * [backup-simplify]: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 4.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.213 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.213 * [backup-simplify]: Simplify 1/2 into 1/2 4.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 4.214 * [backup-simplify]: Simplify (+ 0 0) into 0 4.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 4.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 4.216 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.216 * [backup-simplify]: Simplify 1/8 into 1/8 4.217 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 4.217 * [backup-simplify]: Simplify (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) into (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) 4.217 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in (x) around 0 4.217 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 4.217 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.217 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 4.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.217 * [taylor]: Taking taylor expansion of x in x 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (/ 1 1) into 1 4.217 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 4.217 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.217 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 4.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.218 * [taylor]: Taking taylor expansion of x in x 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (/ 1 1) into 1 4.218 * [taylor]: Taking taylor expansion of 1/8 in x 4.218 * [backup-simplify]: Simplify 1/8 into 1/8 4.218 * [taylor]: Taking taylor expansion of 1/2 in x 4.218 * [backup-simplify]: Simplify 1/2 into 1/2 4.218 * [taylor]: Taking taylor expansion of (log 2) in x 4.218 * [taylor]: Taking taylor expansion of 2 in x 4.218 * [backup-simplify]: Simplify 2 into 2 4.218 * [backup-simplify]: Simplify (log 2) into (log 2) 4.218 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 4.218 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.218 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 4.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.218 * [taylor]: Taking taylor expansion of x in x 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1 1) into 1 4.219 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 4.219 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.219 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 4.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.219 * [taylor]: Taking taylor expansion of x in x 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1 1) into 1 4.219 * [taylor]: Taking taylor expansion of 1/8 in x 4.219 * [backup-simplify]: Simplify 1/8 into 1/8 4.219 * [taylor]: Taking taylor expansion of 1/2 in x 4.219 * [backup-simplify]: Simplify 1/2 into 1/2 4.219 * [taylor]: Taking taylor expansion of (log 2) in x 4.219 * [taylor]: Taking taylor expansion of 2 in x 4.219 * [backup-simplify]: Simplify 2 into 2 4.219 * [backup-simplify]: Simplify (log 2) into (log 2) 4.220 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 4.220 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.220 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 4.220 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.220 * [backup-simplify]: Simplify 1/8 into 1/8 4.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 4.222 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 4.223 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.223 * [backup-simplify]: Simplify 1/2 into 1/2 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 4.224 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 4.226 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.226 * [backup-simplify]: Simplify (log 2) into (log 2) 4.227 * [backup-simplify]: Simplify (+ (log 2) (+ (* 1/2 (/ 1 (/ 1 x))) (* 1/8 (pow (/ 1 (/ 1 x)) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 4.227 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 1/2) (log 2)) into (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) 4.227 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in (x) around 0 4.227 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 4.227 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.227 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 4.227 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.227 * [taylor]: Taking taylor expansion of -1 in x 4.227 * [backup-simplify]: Simplify -1 into -1 4.227 * [taylor]: Taking taylor expansion of x in x 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (/ -1 1) into -1 4.228 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 4.228 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.228 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 4.228 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.228 * [taylor]: Taking taylor expansion of -1 in x 4.228 * [backup-simplify]: Simplify -1 into -1 4.228 * [taylor]: Taking taylor expansion of x in x 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (/ -1 1) into -1 4.228 * [taylor]: Taking taylor expansion of 1/8 in x 4.228 * [backup-simplify]: Simplify 1/8 into 1/8 4.228 * [taylor]: Taking taylor expansion of 1/2 in x 4.228 * [backup-simplify]: Simplify 1/2 into 1/2 4.228 * [taylor]: Taking taylor expansion of (log 2) in x 4.228 * [taylor]: Taking taylor expansion of 2 in x 4.228 * [backup-simplify]: Simplify 2 into 2 4.228 * [backup-simplify]: Simplify (log 2) into (log 2) 4.228 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 4.228 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.228 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 4.228 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.228 * [taylor]: Taking taylor expansion of -1 in x 4.228 * [backup-simplify]: Simplify -1 into -1 4.229 * [taylor]: Taking taylor expansion of x in x 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (/ -1 1) into -1 4.229 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 4.229 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.229 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 4.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.229 * [taylor]: Taking taylor expansion of -1 in x 4.229 * [backup-simplify]: Simplify -1 into -1 4.229 * [taylor]: Taking taylor expansion of x in x 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (/ -1 1) into -1 4.229 * [taylor]: Taking taylor expansion of 1/8 in x 4.229 * [backup-simplify]: Simplify 1/8 into 1/8 4.229 * [taylor]: Taking taylor expansion of 1/2 in x 4.229 * [backup-simplify]: Simplify 1/2 into 1/2 4.229 * [taylor]: Taking taylor expansion of (log 2) in x 4.229 * [taylor]: Taking taylor expansion of 2 in x 4.229 * [backup-simplify]: Simplify 2 into 2 4.230 * [backup-simplify]: Simplify (log 2) into (log 2) 4.230 * [backup-simplify]: Simplify (* -1 1/8) into -1/8 4.230 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 4.231 * [backup-simplify]: Simplify (* -1 -1/8) into 1/8 4.231 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.231 * [backup-simplify]: Simplify 1/8 into 1/8 4.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/8)) into 0 4.232 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 4.233 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.233 * [backup-simplify]: Simplify -1/2 into -1/2 4.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.236 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 4.237 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.237 * [backup-simplify]: Simplify (log 2) into (log 2) 4.237 * [backup-simplify]: Simplify (+ (log 2) (+ (* -1/2 (/ 1 (/ 1 (- x)))) (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 4.237 * * * [progress]: simplifying candidates 4.237 * * * * [progress]: [ 1 / 39 ] simplifiying candidate # 4.237 * * * * [progress]: [ 2 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 3 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 4 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 5 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 6 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 7 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 8 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 9 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 10 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 11 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 12 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 13 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 14 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 15 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 16 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 17 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 18 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 19 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 20 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 21 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 22 / 39 ] simplifiying candidate #real (real->posit16 (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)))))> 4.238 * * * * [progress]: [ 23 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 24 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 25 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 26 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 27 / 39 ] simplifiying candidate # 4.238 * * * * [progress]: [ 28 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 29 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 30 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 31 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 32 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 33 / 39 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))> 4.239 * * * * [progress]: [ 34 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 35 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 36 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 37 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 38 / 39 ] simplifiying candidate # 4.239 * * * * [progress]: [ 39 / 39 ] simplifiying candidate # 4.239 * [simplify]: Simplifying: (fma (* (cbrt (fma x (fma x 1/8 1/2) (log 2))) (cbrt (fma x (fma x 1/8 1/2) (log 2)))) (cbrt (fma x (fma x 1/8 1/2) (log 2))) (- (* x y))) (fma (- x) y (* x y)) (fma (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (- (* x y))) (fma (- x) y (* x y)) (fma 1 (fma x (fma x 1/8 1/2) (log 2)) (- (* x y))) (fma (- x) y (* x y)) (expm1 (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (log1p (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (- (* y x)) (- (* y x)) (- (* y x)) (/ (exp (fma x (fma x 1/8 1/2) (log 2))) (exp (* y x))) (log (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (exp (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (* (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)))) (cbrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (* (* (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)) (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (sqrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (sqrt (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (- (pow (fma x (fma x 1/8 1/2) (log 2)) 3) (pow (* y x) 3)) (+ (* (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2))) (+ (* (* y x) (* y x)) (* (fma x (fma x 1/8 1/2) (log 2)) (* y x)))) (- (* y x)) (- (* (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2))) (* (* y x) (* y x))) (+ (fma x (fma x 1/8 1/2) (log 2)) (* y x)) (- (log 2) (* y x)) (- (* y x)) (real->posit16 (- (fma x (fma x 1/8 1/2) (log 2)) (* y x))) (expm1 (fma x (fma x 1/8 1/2) (log 2))) (log1p (fma x (fma x 1/8 1/2) (log 2))) (* x (fma x 1/8 1/2)) (log (fma x (fma x 1/8 1/2) (log 2))) (exp (fma x (fma x 1/8 1/2) (log 2))) (* (cbrt (fma x (fma x 1/8 1/2) (log 2))) (cbrt (fma x (fma x 1/8 1/2) (log 2)))) (cbrt (fma x (fma x 1/8 1/2) (log 2))) (* (* (fma x (fma x 1/8 1/2) (log 2)) (fma x (fma x 1/8 1/2) (log 2))) (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2))) (real->posit16 (fma x (fma x 1/8 1/2) (log 2))) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 4.240 * * [simplify]: iteration 0: 59 enodes 4.251 * * [simplify]: iteration 1: 131 enodes 4.288 * * [simplify]: iteration 2: 357 enodes 4.464 * * [simplify]: iteration 3: 1794 enodes 4.816 * * [simplify]: iteration 4: 2027 enodes 5.335 * * [simplify]: iteration complete: 2027 enodes 5.335 * * [simplify]: Extracting #0: cost 30 inf + 0 5.335 * * [simplify]: Extracting #1: cost 234 inf + 0 5.338 * * [simplify]: Extracting #2: cost 554 inf + 1821 5.347 * * [simplify]: Extracting #3: cost 348 inf + 48377 5.376 * * [simplify]: Extracting #4: cost 59 inf + 132673 5.432 * * [simplify]: Extracting #5: cost 0 inf + 147026 5.470 * * [simplify]: Extracting #6: cost 0 inf + 146138 5.516 * [simplify]: Simplified to: (- (* (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (* (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (cbrt (fma x (fma 1/8 x 1/2) (log 2))))) (* y x)) (* (+ (- x) x) y) (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) (* (+ (- x) x) y) (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) (* (+ (- x) x) y) (expm1 (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (log1p (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (- (* y x)) (- (* y x)) (- (* y x)) (exp (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (log (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (exp (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (* (cbrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (cbrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)))) (cbrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (* (* (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x)) (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (sqrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (sqrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (- (* (fma x (fma 1/8 x 1/2) (log 2)) (* (fma x (fma 1/8 x 1/2) (log 2)) (fma x (fma 1/8 x 1/2) (log 2)))) (* (* (* y x) (* y x)) (* y x))) (fma (fma x (fma 1/8 x 1/2) (log 2)) (fma x (fma 1/8 x 1/2) (log 2)) (* (* y x) (+ (* y x) (fma x (fma 1/8 x 1/2) (log 2))))) (- (* y x)) (- (* (fma x (fma 1/8 x 1/2) (log 2)) (fma x (fma 1/8 x 1/2) (log 2))) (* (* y x) (* y x))) (fma y x (fma x (fma 1/8 x 1/2) (log 2))) (- (log 2) (* y x)) (- (* y x)) (real->posit16 (- (fma x (fma 1/8 x 1/2) (log 2)) (* y x))) (expm1 (fma x (fma 1/8 x 1/2) (log 2))) (log1p (fma x (fma 1/8 x 1/2) (log 2))) (* (fma 1/8 x 1/2) x) (log (fma x (fma 1/8 x 1/2) (log 2))) (* 2 (exp (* (fma 1/8 x 1/2) x))) (* (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (cbrt (fma x (fma 1/8 x 1/2) (log 2)))) (cbrt (fma x (fma 1/8 x 1/2) (log 2))) (* (fma x (fma 1/8 x 1/2) (log 2)) (* (fma x (fma 1/8 x 1/2) (log 2)) (fma x (fma 1/8 x 1/2) (log 2)))) (sqrt (fma x (fma 1/8 x 1/2) (log 2))) (sqrt (fma x (fma 1/8 x 1/2) (log 2))) (real->posit16 (fma x (fma 1/8 x 1/2) (log 2))) (fma x (fma 1/8 x 1/2) (log 2)) (* x (- (fma 1/8 x 1/2) y)) (* x (- (fma 1/8 x 1/2) y)) (fma x (fma 1/8 x 1/2) (log 2)) (fma x (fma 1/8 x 1/2) (log 2)) (fma x (fma 1/8 x 1/2) (log 2)) 5.518 * * * [progress]: adding candidates to table 5.675 * [progress]: [Phase 3 of 3] Extracting. 5.675 * * [regime]: Finding splitpoints for: (# # #) 5.675 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.675 * * * * [regimes]: Trying to branch on y from (# # #) 5.700 * * * * [regimes]: Trying to branch on x from (# # #) 5.733 * * * [regime]: Found split indices: #