21.282 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.149 * * * [progress]: [2/2] Setting up program. 0.154 * [progress]: [Phase 2 of 3] Improving. 0.154 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.155 * [simplify]: Simplifying: (- (log (+ 1 (exp x))) (* x y)) 0.155 * * [simplify]: iteration 0: 8 enodes 0.158 * * [simplify]: iteration 1: 15 enodes 0.162 * * [simplify]: iteration 2: 22 enodes 0.169 * * [simplify]: iteration 3: 26 enodes 0.174 * * [simplify]: iteration complete: 26 enodes 0.174 * * [simplify]: Extracting #0: cost 1 inf + 0 0.174 * * [simplify]: Extracting #1: cost 8 inf + 0 0.174 * * [simplify]: Extracting #2: cost 5 inf + 167 0.174 * * [simplify]: Extracting #3: cost 4 inf + 279 0.174 * * [simplify]: Extracting #4: cost 1 inf + 683 0.174 * * [simplify]: Extracting #5: cost 0 inf + 795 0.174 * [simplify]: Simplified to: (- (log1p (exp x)) (* y x)) 0.178 * * [progress]: iteration 1 / 4 0.178 * * * [progress]: picking best candidate 0.181 * * * * [pick]: Picked # 0.181 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.216 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.226 * * * [progress]: generating series expansions 0.226 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.226 * [backup-simplify]: Simplify (log1p (exp x)) into (log1p (exp x)) 0.226 * [approximate]: Taking taylor expansion of (log1p (exp x)) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 0.226 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.226 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 0.226 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (exp x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (exp 0) into 1 0.227 * [backup-simplify]: Simplify (+ 1 1) into 2 0.228 * [backup-simplify]: Simplify (log 2) into (log 2) 0.228 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 0.228 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.228 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 0.228 * [taylor]: Taking taylor expansion of 1 in x 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (exp x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (exp 0) into 1 0.228 * [backup-simplify]: Simplify (+ 1 1) into 2 0.229 * [backup-simplify]: Simplify (log 2) into (log 2) 0.229 * [backup-simplify]: Simplify (log 2) into (log 2) 0.230 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.231 * [backup-simplify]: Simplify (+ 0 1) into 1 0.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 0.232 * [backup-simplify]: Simplify 1/2 into 1/2 0.233 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.233 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.235 * [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 0.235 * [backup-simplify]: Simplify 1/8 into 1/8 0.235 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 0.235 * [backup-simplify]: Simplify (log1p (exp (/ 1 x))) into (log1p (exp (/ 1 x))) 0.235 * [approximate]: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 0.235 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.235 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 0.235 * [taylor]: Taking taylor expansion of 1 in x 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.236 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.236 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.236 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 0.236 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.236 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of 1 in x 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.236 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.237 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.237 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [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 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [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 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [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 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [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 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1)) 0.257 * [backup-simplify]: Simplify (log1p (exp (/ 1 (- x)))) into (log1p (exp (/ -1 x))) 0.257 * [approximate]: Taking taylor expansion of (log1p (exp (/ -1 x))) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 0.257 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 0.257 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 0.257 * [taylor]: Taking taylor expansion of 1 in x 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.257 * [taylor]: Taking taylor expansion of -1 in x 0.257 * [backup-simplify]: Simplify -1 into -1 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ -1 1) into -1 0.257 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.257 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 0.257 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.257 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 0.257 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 0.257 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 0.257 * [taylor]: Taking taylor expansion of 1 in x 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.258 * [taylor]: Taking taylor expansion of -1 in x 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ -1 1) into -1 0.258 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.258 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 0.258 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.258 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [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 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [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 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [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 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [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 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [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 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1)) 0.278 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.278 * [backup-simplify]: Simplify (- (log1p (exp x)) (* y x)) into (- (log1p (exp x)) (* x y)) 0.278 * [approximate]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in y 0.278 * [taylor]: Taking taylor expansion of (log1p (exp x)) in y 0.278 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.278 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in y 0.278 * [taylor]: Taking taylor expansion of 1 in y 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [taylor]: Taking taylor expansion of (exp x) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [backup-simplify]: Simplify x into x 0.278 * [backup-simplify]: Simplify (exp x) into (exp x) 0.278 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1) 0.278 * [backup-simplify]: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) 0.278 * [taylor]: Taking taylor expansion of (* x y) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [backup-simplify]: Simplify x into x 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 0.279 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 0.279 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.279 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 0.279 * [taylor]: Taking taylor expansion of 1 in x 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of (exp x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (exp 0) into 1 0.279 * [backup-simplify]: Simplify (+ 1 1) into 2 0.279 * [backup-simplify]: Simplify (log 2) into (log 2) 0.279 * [taylor]: Taking taylor expansion of (* x y) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [backup-simplify]: Simplify y into y 0.279 * [taylor]: Taking taylor expansion of (- (log1p (exp x)) (* x y)) in x 0.279 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 0.279 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 0.279 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 0.279 * [taylor]: Taking taylor expansion of 1 in x 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of (exp x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (exp 0) into 1 0.280 * [backup-simplify]: Simplify (+ 1 1) into 2 0.280 * [backup-simplify]: Simplify (log 2) into (log 2) 0.280 * [taylor]: Taking taylor expansion of (* x y) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [backup-simplify]: Simplify y into y 0.280 * [backup-simplify]: Simplify (* 0 y) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 0.281 * [taylor]: Taking taylor expansion of (log 2) in y 0.281 * [taylor]: Taking taylor expansion of 2 in y 0.281 * [backup-simplify]: Simplify 2 into 2 0.281 * [backup-simplify]: Simplify (log 2) into (log 2) 0.282 * [backup-simplify]: Simplify (log 2) into (log 2) 0.282 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.283 * [backup-simplify]: Simplify (+ 0 1) into 1 0.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 0.284 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.284 * [backup-simplify]: Simplify (- y) into (- y) 0.284 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y) 0.284 * [taylor]: Taking taylor expansion of (- 1/2 y) in y 0.284 * [taylor]: Taking taylor expansion of 1/2 in y 0.284 * [backup-simplify]: Simplify 1/2 into 1/2 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.284 * [backup-simplify]: Simplify 1/2 into 1/2 0.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.286 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.288 * [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 0.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 0.289 * [taylor]: Taking taylor expansion of 1/8 in y 0.289 * [backup-simplify]: Simplify 1/8 into 1/8 0.289 * [backup-simplify]: Simplify 1/8 into 1/8 0.289 * [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)))) 0.290 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) into (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) 0.290 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in (x y) around 0 0.290 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in y 0.290 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in y 0.290 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.290 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y 0.290 * [taylor]: Taking taylor expansion of 1 in y 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [backup-simplify]: Simplify x into x 0.290 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.290 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.290 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.290 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.290 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.290 * [taylor]: Taking taylor expansion of (* x y) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [backup-simplify]: Simplify x into x 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* x 0) into 0 0.290 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.290 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.290 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 0.290 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 0.291 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.291 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of 1 in x 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.291 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.291 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.291 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.291 * [taylor]: Taking taylor expansion of (* x y) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [backup-simplify]: Simplify y into y 0.291 * [backup-simplify]: Simplify (* 0 y) into 0 0.291 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.292 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.292 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (/ 1 (* x y))) in x 0.292 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 0.292 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 0.292 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.292 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 0.292 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.292 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.292 * [taylor]: Taking taylor expansion of (* x y) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [backup-simplify]: Simplify y into y 0.292 * [backup-simplify]: Simplify (* 0 y) into 0 0.293 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.293 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.293 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.293 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [backup-simplify]: Simplify (- 1) into -1 0.704 * [backup-simplify]: Simplify -1 into -1 0.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.706 * [backup-simplify]: Simplify (- 0) into 0 0.706 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) 0.706 * [taylor]: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y 0.706 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y 0.706 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [backup-simplify]: Simplify x into x 0.706 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.706 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.706 * [taylor]: Taking taylor expansion of 1 in y 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 0.707 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (- 0) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 0.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.711 * [backup-simplify]: Simplify (- 0) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [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 0.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.719 * [backup-simplify]: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [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 0.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.728 * [backup-simplify]: Simplify (- 0) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y)) 0.729 * [backup-simplify]: Simplify (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) into (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) 0.729 * [approximate]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in y 0.729 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in y 0.729 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 0.729 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in y 0.729 * [taylor]: Taking taylor expansion of 1 in y 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.729 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.729 * [taylor]: Taking taylor expansion of -1 in y 0.729 * [backup-simplify]: Simplify -1 into -1 0.729 * [taylor]: Taking taylor expansion of x in y 0.730 * [backup-simplify]: Simplify x into x 0.730 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.730 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.730 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 0.730 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.730 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.730 * [taylor]: Taking taylor expansion of (* x y) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [backup-simplify]: Simplify x into x 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (* x 0) into 0 0.731 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.731 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.731 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 0.731 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 0.731 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 0.731 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 0.731 * [taylor]: Taking taylor expansion of 1 in x 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.731 * [taylor]: Taking taylor expansion of -1 in x 0.731 * [backup-simplify]: Simplify -1 into -1 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ -1 1) into -1 0.732 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.732 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 0.732 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.732 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.732 * [taylor]: Taking taylor expansion of (* x y) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of y in x 0.732 * [backup-simplify]: Simplify y into y 0.732 * [backup-simplify]: Simplify (* 0 y) into 0 0.732 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.733 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.733 * [taylor]: Taking taylor expansion of (- (log1p (exp (/ -1 x))) (/ 1 (* x y))) in x 0.733 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 0.733 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 0.733 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 0.733 * [taylor]: Taking taylor expansion of 1 in x 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.733 * [taylor]: Taking taylor expansion of -1 in x 0.733 * [backup-simplify]: Simplify -1 into -1 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ -1 1) into -1 0.734 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.734 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 0.734 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.734 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.734 * [taylor]: Taking taylor expansion of (* x y) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [backup-simplify]: Simplify y into y 0.734 * [backup-simplify]: Simplify (* 0 y) into 0 0.735 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.735 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.735 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.735 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [backup-simplify]: Simplify (- 1) into -1 0.736 * [backup-simplify]: Simplify -1 into -1 0.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.737 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) 0.738 * [taylor]: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y 0.738 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y 0.738 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.738 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.738 * [taylor]: Taking taylor expansion of -1 in y 0.738 * [backup-simplify]: Simplify -1 into -1 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [backup-simplify]: Simplify x into x 0.738 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.738 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.738 * [taylor]: Taking taylor expansion of 1 in y 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 0.738 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 0.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (- 0) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [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 0.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.750 * [backup-simplify]: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (- 0) into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [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 0.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) 0.761 * * * [progress]: simplifying candidates 0.761 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 12 / 40 ] simplifiying candidate #real (real->posit16 (log1p (exp x)))) (* y x)))> 0.762 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.762 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.763 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.764 * * * * [progress]: [ 34 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p (exp x)) (* y x)))))> 0.764 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.764 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.764 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 0.764 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.764 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.764 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.765 * [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)) 0.766 * * [simplify]: iteration 0: 61 enodes 0.789 * * [simplify]: iteration 1: 128 enodes 0.820 * * [simplify]: iteration 2: 320 enodes 0.984 * * [simplify]: iteration 3: 1021 enodes 1.687 * * [simplify]: iteration 4: 2002 enodes 2.085 * * [simplify]: iteration complete: 2002 enodes 2.085 * * [simplify]: Extracting #0: cost 27 inf + 0 2.086 * * [simplify]: Extracting #1: cost 197 inf + 0 2.091 * * [simplify]: Extracting #2: cost 390 inf + 5632 2.110 * * [simplify]: Extracting #3: cost 153 inf + 46726 2.139 * * [simplify]: Extracting #4: cost 49 inf + 77456 2.161 * * [simplify]: Extracting #5: cost 15 inf + 87935 2.189 * * [simplify]: Extracting #6: cost 2 inf + 91343 2.212 * * [simplify]: Extracting #7: cost 0 inf + 92169 2.242 * [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)) 2.244 * * * [progress]: adding candidates to table 2.416 * * [progress]: iteration 2 / 4 2.416 * * * [progress]: picking best candidate 2.430 * * * * [pick]: Picked # 2.431 * * * [progress]: localizing error 2.463 * * * [progress]: generating rewritten candidates 2.463 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.465 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.466 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.467 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.469 * * * [progress]: generating series expansions 2.469 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.469 * [backup-simplify]: Simplify (cbrt (log1p (exp x))) into (pow (log1p (exp x)) 1/3) 2.469 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in (x) around 0 2.469 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x 2.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x 2.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x 2.469 * [taylor]: Taking taylor expansion of 1/3 in x 2.469 * [backup-simplify]: Simplify 1/3 into 1/3 2.469 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x 2.469 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.469 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.469 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.469 * [taylor]: Taking taylor expansion of 1 in x 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of (exp x) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [backup-simplify]: Simplify (exp 0) into 1 2.470 * [backup-simplify]: Simplify (+ 1 1) into 2 2.470 * [backup-simplify]: Simplify (log 2) into (log 2) 2.471 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2)) 2.473 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2))) 2.475 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3) 2.475 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x 2.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x 2.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x 2.475 * [taylor]: Taking taylor expansion of 1/3 in x 2.475 * [backup-simplify]: Simplify 1/3 into 1/3 2.475 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x 2.475 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.475 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.475 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.475 * [taylor]: Taking taylor expansion of 1 in x 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [taylor]: Taking taylor expansion of (exp x) in x 2.475 * [taylor]: Taking taylor expansion of x in x 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [backup-simplify]: Simplify (exp 0) into 1 2.476 * [backup-simplify]: Simplify (+ 1 1) into 2 2.476 * [backup-simplify]: Simplify (log 2) into (log 2) 2.477 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2)) 2.478 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2))) 2.480 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3) 2.481 * [backup-simplify]: Simplify (pow (log 2) 1/3) into (pow (log 2) 1/3) 2.482 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.483 * [backup-simplify]: Simplify (+ 0 1) into 1 2.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 2.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2)) 2.494 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2))) 2.502 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) 2.505 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) 2.507 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.507 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.509 * [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 2.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) 2.538 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 2.564 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) 2.572 * [backup-simplify]: Simplify (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) 2.586 * [backup-simplify]: Simplify (+ (* (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow x 2)) (+ (* (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) x) (pow (log 2) 1/3))) into (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2)))) 2.586 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 1/3) 2.586 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in (x) around 0 2.586 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x 2.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x 2.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x 2.586 * [taylor]: Taking taylor expansion of 1/3 in x 2.586 * [backup-simplify]: Simplify 1/3 into 1/3 2.586 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x 2.586 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.586 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.586 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.586 * [taylor]: Taking taylor expansion of 1 in x 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [backup-simplify]: Simplify (/ 1 1) into 1 2.587 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.587 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.587 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.587 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) 2.588 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) 2.588 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3) 2.588 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x 2.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x 2.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x 2.588 * [taylor]: Taking taylor expansion of 1/3 in x 2.588 * [backup-simplify]: Simplify 1/3 into 1/3 2.588 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x 2.588 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.588 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.588 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.588 * [taylor]: Taking taylor expansion of 1 in x 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (/ 1 1) into 1 2.589 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.589 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.589 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.589 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) 2.589 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) 2.589 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3) 2.590 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 1/3) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3) 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 2.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0 2.592 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0 2.593 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify (+ 0 0) into 0 2.595 * [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 2.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0 2.598 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0 2.600 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.603 * [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 2.606 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0 2.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0 2.609 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (+ 0 0) into 0 2.612 * [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 2.615 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 24) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))) into 0 2.617 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (+ 0 0) into 0 2.622 * [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 2.627 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 120) into 0 2.629 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))))) into 0 2.632 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify (+ 0 0) into 0 2.643 * [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 2.651 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0 2.655 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))))) into 0 2.658 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3) 2.658 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 1/3) 2.658 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in (x) around 0 2.658 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x 2.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x 2.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x 2.659 * [taylor]: Taking taylor expansion of 1/3 in x 2.659 * [backup-simplify]: Simplify 1/3 into 1/3 2.659 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x 2.659 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.659 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.659 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.659 * [taylor]: Taking taylor expansion of 1 in x 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.659 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.659 * [taylor]: Taking taylor expansion of -1 in x 2.659 * [backup-simplify]: Simplify -1 into -1 2.659 * [taylor]: Taking taylor expansion of x in x 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify (/ -1 1) into -1 2.659 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.659 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.660 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.660 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) 2.660 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) 2.660 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3) 2.660 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x 2.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x 2.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x 2.660 * [taylor]: Taking taylor expansion of 1/3 in x 2.660 * [backup-simplify]: Simplify 1/3 into 1/3 2.660 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x 2.660 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.660 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.660 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.660 * [taylor]: Taking taylor expansion of 1 in x 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.660 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.660 * [taylor]: Taking taylor expansion of -1 in x 2.660 * [backup-simplify]: Simplify -1 into -1 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify (/ -1 1) into -1 2.661 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.661 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.661 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.661 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) 2.661 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) 2.661 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3) 2.661 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 1/3) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3) 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 2.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0 2.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0 2.663 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.663 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.665 * [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 2.666 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0 2.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0 2.667 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (+ 0 0) into 0 2.669 * [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 2.671 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0 2.672 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0 2.673 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (+ 0 0) into 0 2.676 * [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 2.679 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 24) into 0 2.680 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))) into 0 2.682 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (+ 0 0) into 0 2.689 * [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 2.695 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 120) into 0 2.696 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))))) into 0 2.699 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [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 2.717 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0 2.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))))) into 0 2.725 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3) 2.725 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.725 * [backup-simplify]: Simplify (cbrt (log1p (exp x))) into (pow (log1p (exp x)) 1/3) 2.725 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in (x) around 0 2.725 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x 2.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x 2.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x 2.725 * [taylor]: Taking taylor expansion of 1/3 in x 2.725 * [backup-simplify]: Simplify 1/3 into 1/3 2.725 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x 2.725 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.725 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.725 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.726 * [taylor]: Taking taylor expansion of 1 in x 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [taylor]: Taking taylor expansion of (exp x) in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (exp 0) into 1 2.726 * [backup-simplify]: Simplify (+ 1 1) into 2 2.726 * [backup-simplify]: Simplify (log 2) into (log 2) 2.727 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2)) 2.728 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2))) 2.729 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3) 2.729 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x 2.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x 2.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x 2.729 * [taylor]: Taking taylor expansion of 1/3 in x 2.729 * [backup-simplify]: Simplify 1/3 into 1/3 2.729 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x 2.729 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.729 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.729 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.729 * [taylor]: Taking taylor expansion of 1 in x 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [taylor]: Taking taylor expansion of (exp x) in x 2.729 * [taylor]: Taking taylor expansion of x in x 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (exp 0) into 1 2.729 * [backup-simplify]: Simplify (+ 1 1) into 2 2.730 * [backup-simplify]: Simplify (log 2) into (log 2) 2.730 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2)) 2.732 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2))) 2.734 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3) 2.735 * [backup-simplify]: Simplify (pow (log 2) 1/3) into (pow (log 2) 1/3) 2.736 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.736 * [backup-simplify]: Simplify (+ 0 1) into 1 2.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 2.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2)) 2.745 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2))) 2.751 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) 2.754 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) 2.755 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.755 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.757 * [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 2.765 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) 2.772 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 2.786 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) 2.791 * [backup-simplify]: Simplify (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) 2.801 * [backup-simplify]: Simplify (+ (* (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow x 2)) (+ (* (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) x) (pow (log 2) 1/3))) into (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2)))) 2.802 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 1/3) 2.802 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in (x) around 0 2.802 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x 2.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x 2.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x 2.802 * [taylor]: Taking taylor expansion of 1/3 in x 2.802 * [backup-simplify]: Simplify 1/3 into 1/3 2.802 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x 2.802 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.802 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.802 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.802 * [taylor]: Taking taylor expansion of 1 in x 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.802 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.802 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.802 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.802 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) 2.803 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) 2.803 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3) 2.803 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x 2.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x 2.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x 2.803 * [taylor]: Taking taylor expansion of 1/3 in x 2.803 * [backup-simplify]: Simplify 1/3 into 1/3 2.803 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x 2.803 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 2.803 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 2.803 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 2.803 * [taylor]: Taking taylor expansion of 1 in x 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (/ 1 1) into 1 2.803 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 2.803 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 2.803 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 2.803 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) 2.804 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) 2.804 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3) 2.804 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 1/3) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3) 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 2.805 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0 2.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0 2.806 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [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 2.810 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0 2.811 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0 2.812 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [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 2.817 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0 2.818 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0 2.820 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.824 * [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 2.828 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 24) into 0 2.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))) into 0 2.831 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [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 2.842 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 120) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))))) into 0 2.849 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.859 * [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 2.867 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))))) into 0 2.874 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3) 2.875 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 1/3) 2.875 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in (x) around 0 2.875 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x 2.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x 2.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x 2.875 * [taylor]: Taking taylor expansion of 1/3 in x 2.875 * [backup-simplify]: Simplify 1/3 into 1/3 2.875 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x 2.875 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.875 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.875 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.875 * [taylor]: Taking taylor expansion of 1 in x 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.875 * [taylor]: Taking taylor expansion of -1 in x 2.875 * [backup-simplify]: Simplify -1 into -1 2.875 * [taylor]: Taking taylor expansion of x in x 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ -1 1) into -1 2.876 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.876 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.876 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.876 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) 2.876 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) 2.876 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3) 2.876 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x 2.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x 2.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x 2.876 * [taylor]: Taking taylor expansion of 1/3 in x 2.876 * [backup-simplify]: Simplify 1/3 into 1/3 2.876 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x 2.876 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 2.876 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 2.876 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 2.876 * [taylor]: Taking taylor expansion of 1 in x 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.877 * [taylor]: Taking taylor expansion of -1 in x 2.877 * [backup-simplify]: Simplify -1 into -1 2.877 * [taylor]: Taking taylor expansion of x in x 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (/ -1 1) into -1 2.877 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 2.877 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 2.877 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 2.877 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) 2.878 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) 2.878 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3) 2.878 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 1/3) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3) 2.878 * [backup-simplify]: Simplify (+ 0 0) into 0 2.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 2.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0 2.881 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [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 2.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0 2.887 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify (+ 0 0) into 0 2.890 * [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 2.893 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0 2.895 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [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 2.905 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 24) into 0 2.906 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))) into 0 2.908 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.912 * [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 2.918 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 120) into 0 2.920 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))))) into 0 2.922 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [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 2.942 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))))) into 0 2.949 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3) 2.950 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.950 * [backup-simplify]: Simplify (cbrt (log1p (exp x))) into (pow (log1p (exp x)) 1/3) 2.950 * [approximate]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in (x) around 0 2.950 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x 2.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x 2.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x 2.950 * [taylor]: Taking taylor expansion of 1/3 in x 2.950 * [backup-simplify]: Simplify 1/3 into 1/3 2.950 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x 2.950 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.950 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.950 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.950 * [taylor]: Taking taylor expansion of 1 in x 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [taylor]: Taking taylor expansion of (exp x) in x 2.950 * [taylor]: Taking taylor expansion of x in x 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [backup-simplify]: Simplify (exp 0) into 1 2.951 * [backup-simplify]: Simplify (+ 1 1) into 2 2.951 * [backup-simplify]: Simplify (log 2) into (log 2) 2.952 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2)) 2.953 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2))) 2.955 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3) 2.955 * [taylor]: Taking taylor expansion of (pow (log1p (exp x)) 1/3) in x 2.955 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp x))))) in x 2.955 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp x)))) in x 2.955 * [taylor]: Taking taylor expansion of 1/3 in x 2.955 * [backup-simplify]: Simplify 1/3 into 1/3 2.955 * [taylor]: Taking taylor expansion of (log (log1p (exp x))) in x 2.955 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 2.955 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 2.955 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 2.955 * [taylor]: Taking taylor expansion of 1 in x 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of (exp x) in x 2.955 * [taylor]: Taking taylor expansion of x in x 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [backup-simplify]: Simplify (exp 0) into 1 2.955 * [backup-simplify]: Simplify (+ 1 1) into 2 2.956 * [backup-simplify]: Simplify (log 2) into (log 2) 2.957 * [backup-simplify]: Simplify (log (log 2)) into (log (log 2)) 2.960 * [backup-simplify]: Simplify (* 1/3 (log (log 2))) into (* 1/3 (log (log 2))) 2.962 * [backup-simplify]: Simplify (exp (* 1/3 (log (log 2)))) into (pow (log 2) 1/3) 2.963 * [backup-simplify]: Simplify (pow (log 2) 1/3) into (pow (log 2) 1/3) 2.964 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.964 * [backup-simplify]: Simplify (+ 0 1) into 1 2.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 2.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (log 2) 1)))) 1) into (/ 1/2 (log 2)) 2.974 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (log 2))) (* 0 (log (log 2)))) into (* 1/6 (/ 1 (log 2))) 2.981 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) 2.984 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) into (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) 2.985 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.986 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.988 * [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 2.996 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (log 2) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (log 2) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) 3.004 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))))) (+ (* 0 (/ 1/2 (log 2))) (* 0 (log (log 2))))) into (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 3.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log 2)))) (+ (* (/ (pow (* 1/6 (/ 1 (log 2))) 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (log 2))) (* 1/24 (/ 1 (pow (log 2) 2)))) 1) 1)))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) 3.025 * [backup-simplify]: Simplify (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) into (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) 3.032 * [backup-simplify]: Simplify (+ (* (* (pow (log 2) 1/3) (- (* 1/24 (/ 1 (log 2))) (* 1/36 (/ 1 (pow (log 2) 2))))) (pow x 2)) (+ (* (* 1/6 (pow (/ 1 (pow (log 2) 2)) 1/3)) x) (pow (log 2) 1/3))) into (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2)))) 3.032 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 x)))) into (pow (log1p (exp (/ 1 x))) 1/3) 3.032 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in (x) around 0 3.032 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x 3.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x 3.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x 3.032 * [taylor]: Taking taylor expansion of 1/3 in x 3.032 * [backup-simplify]: Simplify 1/3 into 1/3 3.032 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x 3.032 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 3.032 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 3.032 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 3.032 * [taylor]: Taking taylor expansion of 1 in x 3.032 * [backup-simplify]: Simplify 1 into 1 3.032 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.032 * [taylor]: Taking taylor expansion of x in x 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (/ 1 1) into 1 3.033 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.033 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 3.033 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 3.033 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) 3.033 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) 3.033 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3) 3.033 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ 1 x))) 1/3) in x 3.033 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ 1 x)))))) in x 3.033 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ 1 x))))) in x 3.033 * [taylor]: Taking taylor expansion of 1/3 in x 3.033 * [backup-simplify]: Simplify 1/3 into 1/3 3.033 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ 1 x)))) in x 3.033 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 3.033 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 3.033 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 3.033 * [taylor]: Taking taylor expansion of 1 in x 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.033 * [taylor]: Taking taylor expansion of x in x 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ 1 1) into 1 3.034 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.034 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 3.034 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 3.034 * [backup-simplify]: Simplify (log (log (+ (exp (/ 1 x)) 1))) into (log (log (+ (exp (/ 1 x)) 1))) 3.034 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ 1 x)) 1)))) 3.034 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3) 3.034 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 x)) 1)) 1/3) into (pow (log (+ (exp (/ 1 x)) 1)) 1/3) 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 3.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0 3.036 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))) into 0 3.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify (+ 0 0) into 0 3.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 3.039 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0 3.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))) into 0 3.041 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 3.047 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0 3.048 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))) into 0 3.050 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 3.063 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 24) into 0 3.064 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))) into 0 3.067 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 3.080 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 120) into 0 3.082 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1))))))))) into 0 3.085 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify (+ 0 0) into 0 3.096 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 3.106 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0 3.108 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ 1 x)) 1)))))))))) into 0 3.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (pow (log (+ (exp (/ 1 (/ 1 x))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3) 3.112 * [backup-simplify]: Simplify (cbrt (log1p (exp (/ 1 (- x))))) into (pow (log1p (exp (/ -1 x))) 1/3) 3.112 * [approximate]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in (x) around 0 3.112 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x 3.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x 3.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x 3.113 * [taylor]: Taking taylor expansion of 1/3 in x 3.113 * [backup-simplify]: Simplify 1/3 into 1/3 3.113 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x 3.113 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 3.113 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 3.113 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 3.113 * [taylor]: Taking taylor expansion of 1 in x 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.113 * [taylor]: Taking taylor expansion of -1 in x 3.113 * [backup-simplify]: Simplify -1 into -1 3.113 * [taylor]: Taking taylor expansion of x in x 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ -1 1) into -1 3.113 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.113 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 3.114 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 3.114 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) 3.114 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) 3.114 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3) 3.114 * [taylor]: Taking taylor expansion of (pow (log1p (exp (/ -1 x))) 1/3) in x 3.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log1p (exp (/ -1 x)))))) in x 3.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (log1p (exp (/ -1 x))))) in x 3.114 * [taylor]: Taking taylor expansion of 1/3 in x 3.114 * [backup-simplify]: Simplify 1/3 into 1/3 3.114 * [taylor]: Taking taylor expansion of (log (log1p (exp (/ -1 x)))) in x 3.114 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 3.114 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 3.114 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 3.114 * [taylor]: Taking taylor expansion of 1 in x 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.114 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.114 * [taylor]: Taking taylor expansion of -1 in x 3.114 * [backup-simplify]: Simplify -1 into -1 3.114 * [taylor]: Taking taylor expansion of x in x 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (/ -1 1) into -1 3.115 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.115 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 3.115 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 3.115 * [backup-simplify]: Simplify (log (log (+ (exp (/ -1 x)) 1))) into (log (log (+ (exp (/ -1 x)) 1))) 3.115 * [backup-simplify]: Simplify (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) into (* 1/3 (log (log (+ (exp (/ -1 x)) 1)))) 3.115 * [backup-simplify]: Simplify (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3) 3.115 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 x)) 1)) 1/3) into (pow (log (+ (exp (/ -1 x)) 1)) 1/3) 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 3.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0 3.117 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))) into 0 3.117 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 3.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0 3.121 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))) into 0 3.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.125 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 3.127 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0 3.128 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))) into 0 3.130 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 3.139 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 24) into 0 3.140 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))) into 0 3.142 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.142 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.149 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 3.155 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 120) into 0 3.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1))))))))) into 0 3.160 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 3.182 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (log (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (log (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0 3.184 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (log (+ (exp (/ -1 x)) 1)))))))))) into 0 3.189 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (log (+ (exp (/ -1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify (pow (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) 1/3) into (pow (log (+ (exp x) 1)) 1/3) 3.189 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.190 * [backup-simplify]: Simplify (log1p (exp x)) into (log1p (exp x)) 3.190 * [approximate]: Taking taylor expansion of (log1p (exp x)) in (x) around 0 3.190 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 3.190 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 3.190 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 3.190 * [taylor]: Taking taylor expansion of 1 in x 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [taylor]: Taking taylor expansion of (exp x) in x 3.190 * [taylor]: Taking taylor expansion of x in x 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (exp 0) into 1 3.190 * [backup-simplify]: Simplify (+ 1 1) into 2 3.191 * [backup-simplify]: Simplify (log 2) into (log 2) 3.191 * [taylor]: Taking taylor expansion of (log1p (exp x)) in x 3.191 * [taylor]: Rewrote expression to (log (+ 1 (exp x))) 3.191 * [taylor]: Taking taylor expansion of (+ 1 (exp x)) in x 3.191 * [taylor]: Taking taylor expansion of 1 in x 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [taylor]: Taking taylor expansion of (exp x) in x 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (exp 0) into 1 3.191 * [backup-simplify]: Simplify (+ 1 1) into 2 3.191 * [backup-simplify]: Simplify (log 2) into (log 2) 3.192 * [backup-simplify]: Simplify (log 2) into (log 2) 3.193 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.193 * [backup-simplify]: Simplify (+ 0 1) into 1 3.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 3.194 * [backup-simplify]: Simplify 1/2 into 1/2 3.195 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.196 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 3.199 * [backup-simplify]: Simplify 1/8 into 1/8 3.199 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 3.200 * [backup-simplify]: Simplify (log1p (exp (/ 1 x))) into (log1p (exp (/ 1 x))) 3.200 * [approximate]: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 3.200 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 3.200 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 3.200 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 3.200 * [taylor]: Taking taylor expansion of 1 in x 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.200 * [taylor]: Taking taylor expansion of x in x 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (/ 1 1) into 1 3.200 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.200 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 3.200 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 3.200 * [taylor]: Taking taylor expansion of (log1p (exp (/ 1 x))) in x 3.200 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) 3.201 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x 3.201 * [taylor]: Taking taylor expansion of 1 in x 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.201 * [taylor]: Taking taylor expansion of x in x 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.201 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 3.201 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 3.201 * [backup-simplify]: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) 3.202 * [backup-simplify]: Simplify (+ 0 0) into 0 3.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify (+ 0 0) into 0 3.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 3.204 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify (+ 0 0) into 0 3.206 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 3.206 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.217 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify (+ 0 0) into 0 3.227 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1)) 3.228 * [backup-simplify]: Simplify (log1p (exp (/ 1 (- x)))) into (log1p (exp (/ -1 x))) 3.228 * [approximate]: Taking taylor expansion of (log1p (exp (/ -1 x))) in (x) around 0 3.228 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 3.228 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 3.228 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 3.228 * [taylor]: Taking taylor expansion of 1 in x 3.228 * [backup-simplify]: Simplify 1 into 1 3.228 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.228 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.228 * [taylor]: Taking taylor expansion of -1 in x 3.228 * [backup-simplify]: Simplify -1 into -1 3.228 * [taylor]: Taking taylor expansion of x in x 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify 1 into 1 3.229 * [backup-simplify]: Simplify (/ -1 1) into -1 3.229 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.229 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 3.229 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 3.229 * [taylor]: Taking taylor expansion of (log1p (exp (/ -1 x))) in x 3.229 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -1 x)))) 3.229 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -1 x))) in x 3.229 * [taylor]: Taking taylor expansion of 1 in x 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.229 * [taylor]: Taking taylor expansion of -1 in x 3.229 * [backup-simplify]: Simplify -1 into -1 3.229 * [taylor]: Taking taylor expansion of x in x 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (/ -1 1) into -1 3.230 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.230 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 3.230 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 3.230 * [backup-simplify]: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) 3.230 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify (+ 0 0) into 0 3.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify (+ 0 0) into 0 3.236 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.240 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify (+ 0 0) into 0 3.247 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify (+ 0 0) into 0 3.257 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1)) 3.258 * * * [progress]: simplifying candidates 3.258 * * * * [progress]: [ 1 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 2 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 3 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 4 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 5 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 6 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 7 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 8 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 9 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 10 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 11 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 12 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 13 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 14 / 66 ] simplifiying candidate #real (real->posit16 (cbrt (log1p (exp x)))))) (* y x)))> 3.258 * * * * [progress]: [ 15 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 16 / 66 ] simplifiying candidate # 3.258 * * * * [progress]: [ 17 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 18 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 19 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 20 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 21 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 22 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 23 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 24 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 25 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 26 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 27 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 28 / 66 ] simplifiying candidate #real (real->posit16 (cbrt (log1p (exp x)))))) (cbrt (log1p (exp x)))) (* y x)))> 3.259 * * * * [progress]: [ 29 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 30 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 31 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 32 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 33 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 34 / 66 ] simplifiying candidate # 3.259 * * * * [progress]: [ 35 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 36 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 37 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 38 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 39 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 40 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 41 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 42 / 66 ] simplifiying candidate #real (real->posit16 (cbrt (log1p (exp x))))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (* y x)))> 3.260 * * * * [progress]: [ 43 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 44 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 45 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 46 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 47 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 48 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 49 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 50 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 51 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 52 / 66 ] simplifiying candidate # 3.260 * * * * [progress]: [ 53 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 54 / 66 ] simplifiying candidate #real (real->posit16 (log1p (exp x)))))) (* y x)))> 3.261 * * * * [progress]: [ 55 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 56 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 57 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 58 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 59 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 60 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 61 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 62 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 63 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 64 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 65 / 66 ] simplifiying candidate # 3.261 * * * * [progress]: [ 66 / 66 ] simplifiying candidate # 3.262 * [simplify]: Simplifying: (expm1 (cbrt (log1p (exp x)))) (log1p (cbrt (log1p (exp x)))) (log (cbrt (log1p (exp x)))) (exp (cbrt (log1p (exp x)))) (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) (cbrt 1) (cbrt (log1p (exp x))) (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))) (real->posit16 (cbrt (log1p (exp x)))) (expm1 (cbrt (log1p (exp x)))) (log1p (cbrt (log1p (exp x)))) (log (cbrt (log1p (exp x)))) (exp (cbrt (log1p (exp x)))) (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) (cbrt 1) (cbrt (log1p (exp x))) (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))) (real->posit16 (cbrt (log1p (exp x)))) (expm1 (cbrt (log1p (exp x)))) (log1p (cbrt (log1p (exp x)))) (log (cbrt (log1p (exp x)))) (exp (cbrt (log1p (exp x)))) (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) (cbrt 1) (cbrt (log1p (exp x))) (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (* (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))) (real->posit16 (cbrt (log1p (exp x)))) (+ 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))) (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2)))) (pow (log (+ (exp x) 1)) 1/3) (pow (log (+ (exp x) 1)) 1/3) (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2)))) (pow (log (+ (exp x) 1)) 1/3) (pow (log (+ (exp x) 1)) 1/3) (- (+ (* 1/6 (* (pow (/ 1 (pow (log 2) 2)) 1/3) x)) (+ (pow (log 2) 1/3) (* 1/24 (* (pow (/ 1 (pow (log 2) 2)) 1/3) (pow x 2))))) (* 1/36 (* (pow (/ 1 (pow (log 2) 5)) 1/3) (pow x 2)))) (pow (log (+ (exp x) 1)) 1/3) (pow (log (+ (exp x) 1)) 1/3) (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) (log (+ (exp x) 1)) (log (+ (exp x) 1)) 3.263 * * [simplify]: iteration 0: 60 enodes 3.279 * * [simplify]: iteration 1: 118 enodes 3.320 * * [simplify]: iteration 2: 298 enodes 3.446 * * [simplify]: iteration 3: 980 enodes 3.748 * * [simplify]: iteration 4: 2005 enodes 4.015 * * [simplify]: iteration complete: 2005 enodes 4.015 * * [simplify]: Extracting #0: cost 23 inf + 0 4.016 * * [simplify]: Extracting #1: cost 166 inf + 1 4.019 * * [simplify]: Extracting #2: cost 351 inf + 1602 4.024 * * [simplify]: Extracting #3: cost 346 inf + 13408 4.037 * * [simplify]: Extracting #4: cost 283 inf + 42373 4.054 * * [simplify]: Extracting #5: cost 191 inf + 76199 4.069 * * [simplify]: Extracting #6: cost 151 inf + 89263 4.088 * * [simplify]: Extracting #7: cost 132 inf + 95333 4.113 * * [simplify]: Extracting #8: cost 81 inf + 126447 4.159 * * [simplify]: Extracting #9: cost 13 inf + 171989 4.197 * * [simplify]: Extracting #10: cost 0 inf + 180568 4.238 * * [simplify]: Extracting #11: cost 0 inf + 180358 4.284 * * [simplify]: Extracting #12: cost 0 inf + 180343 4.337 * [simplify]: Simplified to: (expm1 (cbrt (log1p (exp x)))) (log1p (cbrt (log1p (exp x)))) (* 1/3 (log (log1p (exp x)))) (exp (cbrt (log1p (exp x)))) (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) 1 (cbrt (log1p (exp x))) (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (log1p (exp x)) (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))) (real->posit16 (cbrt (log1p (exp x)))) (expm1 (cbrt (log1p (exp x)))) (log1p (cbrt (log1p (exp x)))) (* 1/3 (log (log1p (exp x)))) (exp (cbrt (log1p (exp x)))) (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) 1 (cbrt (log1p (exp x))) (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (log1p (exp x)) (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))) (real->posit16 (cbrt (log1p (exp x)))) (expm1 (cbrt (log1p (exp x)))) (log1p (cbrt (log1p (exp x)))) (* 1/3 (log (log1p (exp x)))) (exp (cbrt (log1p (exp x)))) (cbrt (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) (cbrt (sqrt (log1p (exp x)))) 1 (cbrt (log1p (exp x))) (* (cbrt (cbrt (log1p (exp x)))) (cbrt (cbrt (log1p (exp x))))) (cbrt (cbrt (log1p (exp x)))) (log1p (exp x)) (sqrt (cbrt (log1p (exp x)))) (sqrt (cbrt (log1p (exp x)))) (real->posit16 (cbrt (log1p (exp x)))) (+ (exp x) 1) (exp x) (log1p (log1p (exp x))) (log (log1p (exp x))) (+ (exp x) 1) (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (* (log1p (exp x)) (* (log1p (exp x)) (log1p (exp x)))) (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (real->posit16 (log1p (exp x))) (+ (cbrt (log 2)) (* x (+ (* 1/6 (cbrt (/ (/ 1 (log 2)) (log 2)))) (* x (fma 1/24 (cbrt (/ (/ 1 (log 2)) (log 2))) (* (cbrt (/ 1 (pow (log 2) 5))) -1/36)))))) (cbrt (log1p (exp x))) (cbrt (log1p (exp x))) (+ (cbrt (log 2)) (* x (+ (* 1/6 (cbrt (/ (/ 1 (log 2)) (log 2)))) (* x (fma 1/24 (cbrt (/ (/ 1 (log 2)) (log 2))) (* (cbrt (/ 1 (pow (log 2) 5))) -1/36)))))) (cbrt (log1p (exp x))) (cbrt (log1p (exp x))) (+ (cbrt (log 2)) (* x (+ (* 1/6 (cbrt (/ (/ 1 (log 2)) (log 2)))) (* x (fma 1/24 (cbrt (/ (/ 1 (log 2)) (log 2))) (* (cbrt (/ 1 (pow (log 2) 5))) -1/36)))))) (cbrt (log1p (exp x))) (cbrt (log1p (exp x))) (fma x (fma 1/8 x 1/2) (log 2)) (log1p (exp x)) (log1p (exp x)) 4.342 * * * [progress]: adding candidates to table 4.662 * * [progress]: iteration 3 / 4 4.662 * * * [progress]: picking best candidate 4.669 * * * * [pick]: Picked # 4.669 * * * [progress]: localizing error 4.698 * * * [progress]: generating rewritten candidates 4.698 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 4.698 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.707 * * * [progress]: generating series expansions 4.707 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 4.707 * [backup-simplify]: Simplify (fma x (fma x 1/8 1/2) (log 2)) into (fma x (fma x 1/8 1/2) (log 2)) 4.707 * [approximate]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in (x) around 0 4.708 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 4.708 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.708 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 4.708 * [taylor]: Taking taylor expansion of x in x 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 4.708 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.708 * [taylor]: Taking taylor expansion of (* x 1/8) in x 4.708 * [taylor]: Taking taylor expansion of x in x 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [taylor]: Taking taylor expansion of 1/8 in x 4.708 * [backup-simplify]: Simplify 1/8 into 1/8 4.708 * [taylor]: Taking taylor expansion of 1/2 in x 4.708 * [backup-simplify]: Simplify 1/2 into 1/2 4.708 * [taylor]: Taking taylor expansion of (log 2) in x 4.708 * [taylor]: Taking taylor expansion of 2 in x 4.708 * [backup-simplify]: Simplify 2 into 2 4.708 * [backup-simplify]: Simplify (log 2) into (log 2) 4.708 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 4.708 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.708 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 4.708 * [taylor]: Taking taylor expansion of x in x 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 4.709 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.709 * [taylor]: Taking taylor expansion of (* x 1/8) in x 4.709 * [taylor]: Taking taylor expansion of x in x 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [taylor]: Taking taylor expansion of 1/8 in x 4.709 * [backup-simplify]: Simplify 1/8 into 1/8 4.709 * [taylor]: Taking taylor expansion of 1/2 in x 4.709 * [backup-simplify]: Simplify 1/2 into 1/2 4.709 * [taylor]: Taking taylor expansion of (log 2) in x 4.709 * [taylor]: Taking taylor expansion of 2 in x 4.709 * [backup-simplify]: Simplify 2 into 2 4.709 * [backup-simplify]: Simplify (log 2) into (log 2) 4.710 * [backup-simplify]: Simplify (* 0 1/8) into 0 4.710 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.710 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.711 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.711 * [backup-simplify]: Simplify (log 2) into (log 2) 4.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 4.712 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.713 * [backup-simplify]: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 4.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.715 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.715 * [backup-simplify]: Simplify 1/2 into 1/2 4.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 4.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 4.720 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.720 * [backup-simplify]: Simplify 1/8 into 1/8 4.720 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 4.721 * [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)) 4.721 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in (x) around 0 4.721 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 4.721 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.721 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 4.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.721 * [taylor]: Taking taylor expansion of x in x 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (/ 1 1) into 1 4.721 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 4.721 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.721 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 4.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.721 * [taylor]: Taking taylor expansion of x in x 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (/ 1 1) into 1 4.722 * [taylor]: Taking taylor expansion of 1/8 in x 4.722 * [backup-simplify]: Simplify 1/8 into 1/8 4.722 * [taylor]: Taking taylor expansion of 1/2 in x 4.722 * [backup-simplify]: Simplify 1/2 into 1/2 4.722 * [taylor]: Taking taylor expansion of (log 2) in x 4.722 * [taylor]: Taking taylor expansion of 2 in x 4.722 * [backup-simplify]: Simplify 2 into 2 4.722 * [backup-simplify]: Simplify (log 2) into (log 2) 4.722 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 4.722 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.722 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 4.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.722 * [taylor]: Taking taylor expansion of x in x 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 1 into 1 4.723 * [backup-simplify]: Simplify (/ 1 1) into 1 4.723 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 4.723 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.723 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 4.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.723 * [taylor]: Taking taylor expansion of x in x 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify 1 into 1 4.723 * [backup-simplify]: Simplify (/ 1 1) into 1 4.723 * [taylor]: Taking taylor expansion of 1/8 in x 4.723 * [backup-simplify]: Simplify 1/8 into 1/8 4.723 * [taylor]: Taking taylor expansion of 1/2 in x 4.723 * [backup-simplify]: Simplify 1/2 into 1/2 4.723 * [taylor]: Taking taylor expansion of (log 2) in x 4.723 * [taylor]: Taking taylor expansion of 2 in x 4.723 * [backup-simplify]: Simplify 2 into 2 4.724 * [backup-simplify]: Simplify (log 2) into (log 2) 4.724 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 4.725 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.725 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 4.725 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.725 * [backup-simplify]: Simplify 1/8 into 1/8 4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 4.727 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.728 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 4.729 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.729 * [backup-simplify]: Simplify 1/2 into 1/2 4.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 4.731 * [backup-simplify]: Simplify (+ 0 0) into 0 4.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 4.733 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.733 * [backup-simplify]: Simplify (log 2) into (log 2) 4.734 * [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)))) 4.734 * [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)) 4.734 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in (x) around 0 4.734 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 4.735 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.735 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 4.735 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.735 * [taylor]: Taking taylor expansion of -1 in x 4.735 * [backup-simplify]: Simplify -1 into -1 4.735 * [taylor]: Taking taylor expansion of x in x 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [backup-simplify]: Simplify (/ -1 1) into -1 4.735 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 4.735 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.735 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 4.735 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.735 * [taylor]: Taking taylor expansion of -1 in x 4.735 * [backup-simplify]: Simplify -1 into -1 4.735 * [taylor]: Taking taylor expansion of x in x 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.736 * [backup-simplify]: Simplify (/ -1 1) into -1 4.736 * [taylor]: Taking taylor expansion of 1/8 in x 4.736 * [backup-simplify]: Simplify 1/8 into 1/8 4.736 * [taylor]: Taking taylor expansion of 1/2 in x 4.736 * [backup-simplify]: Simplify 1/2 into 1/2 4.736 * [taylor]: Taking taylor expansion of (log 2) in x 4.736 * [taylor]: Taking taylor expansion of 2 in x 4.736 * [backup-simplify]: Simplify 2 into 2 4.736 * [backup-simplify]: Simplify (log 2) into (log 2) 4.736 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 4.736 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.736 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 4.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.736 * [taylor]: Taking taylor expansion of -1 in x 4.736 * [backup-simplify]: Simplify -1 into -1 4.736 * [taylor]: Taking taylor expansion of x in x 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (/ -1 1) into -1 4.737 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 4.737 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.737 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 4.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.737 * [taylor]: Taking taylor expansion of -1 in x 4.737 * [backup-simplify]: Simplify -1 into -1 4.737 * [taylor]: Taking taylor expansion of x in x 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (/ -1 1) into -1 4.737 * [taylor]: Taking taylor expansion of 1/8 in x 4.737 * [backup-simplify]: Simplify 1/8 into 1/8 4.738 * [taylor]: Taking taylor expansion of 1/2 in x 4.738 * [backup-simplify]: Simplify 1/2 into 1/2 4.738 * [taylor]: Taking taylor expansion of (log 2) in x 4.738 * [taylor]: Taking taylor expansion of 2 in x 4.738 * [backup-simplify]: Simplify 2 into 2 4.738 * [backup-simplify]: Simplify (log 2) into (log 2) 4.738 * [backup-simplify]: Simplify (* -1 1/8) into -1/8 4.739 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 4.739 * [backup-simplify]: Simplify (* -1 -1/8) into 1/8 4.739 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.739 * [backup-simplify]: Simplify 1/8 into 1/8 4.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.741 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/8)) into 0 4.741 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.743 * [backup-simplify]: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 4.743 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.743 * [backup-simplify]: Simplify -1/2 into -1/2 4.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 4.745 * [backup-simplify]: Simplify (+ 0 0) into 0 4.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 4.747 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.748 * [backup-simplify]: Simplify (log 2) into (log 2) 4.748 * [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)))) 4.748 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.749 * [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)) 4.749 * [approximate]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in (x y) around 0 4.749 * [taylor]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in y 4.749 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in y 4.749 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.749 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in y 4.749 * [taylor]: Taking taylor expansion of x in y 4.749 * [backup-simplify]: Simplify x into x 4.749 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in y 4.749 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.749 * [taylor]: Taking taylor expansion of (* x 1/8) in y 4.749 * [taylor]: Taking taylor expansion of x in y 4.749 * [backup-simplify]: Simplify x into x 4.749 * [taylor]: Taking taylor expansion of 1/8 in y 4.749 * [backup-simplify]: Simplify 1/8 into 1/8 4.749 * [taylor]: Taking taylor expansion of 1/2 in y 4.749 * [backup-simplify]: Simplify 1/2 into 1/2 4.749 * [taylor]: Taking taylor expansion of (log 2) in y 4.749 * [taylor]: Taking taylor expansion of 2 in y 4.749 * [backup-simplify]: Simplify 2 into 2 4.750 * [backup-simplify]: Simplify (log 2) into (log 2) 4.750 * [taylor]: Taking taylor expansion of (* x y) in y 4.750 * [taylor]: Taking taylor expansion of x in y 4.750 * [backup-simplify]: Simplify x into x 4.750 * [taylor]: Taking taylor expansion of y in y 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [taylor]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in x 4.750 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 4.750 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.750 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 4.750 * [taylor]: Taking taylor expansion of x in x 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 4.750 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.750 * [taylor]: Taking taylor expansion of (* x 1/8) in x 4.750 * [taylor]: Taking taylor expansion of x in x 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [taylor]: Taking taylor expansion of 1/8 in x 4.750 * [backup-simplify]: Simplify 1/8 into 1/8 4.750 * [taylor]: Taking taylor expansion of 1/2 in x 4.750 * [backup-simplify]: Simplify 1/2 into 1/2 4.750 * [taylor]: Taking taylor expansion of (log 2) in x 4.750 * [taylor]: Taking taylor expansion of 2 in x 4.750 * [backup-simplify]: Simplify 2 into 2 4.751 * [backup-simplify]: Simplify (log 2) into (log 2) 4.751 * [taylor]: Taking taylor expansion of (* x y) in x 4.751 * [taylor]: Taking taylor expansion of x in x 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 1 into 1 4.751 * [taylor]: Taking taylor expansion of y in x 4.751 * [backup-simplify]: Simplify y into y 4.751 * [taylor]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in x 4.751 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 4.751 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 4.751 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 4.751 * [taylor]: Taking taylor expansion of x in x 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 1 into 1 4.751 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 4.751 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 4.751 * [taylor]: Taking taylor expansion of (* x 1/8) in x 4.751 * [taylor]: Taking taylor expansion of x in x 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 1 into 1 4.751 * [taylor]: Taking taylor expansion of 1/8 in x 4.751 * [backup-simplify]: Simplify 1/8 into 1/8 4.751 * [taylor]: Taking taylor expansion of 1/2 in x 4.751 * [backup-simplify]: Simplify 1/2 into 1/2 4.751 * [taylor]: Taking taylor expansion of (log 2) in x 4.751 * [taylor]: Taking taylor expansion of 2 in x 4.751 * [backup-simplify]: Simplify 2 into 2 4.752 * [backup-simplify]: Simplify (log 2) into (log 2) 4.752 * [taylor]: Taking taylor expansion of (* x y) in x 4.752 * [taylor]: Taking taylor expansion of x in x 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 1 into 1 4.752 * [taylor]: Taking taylor expansion of y in x 4.752 * [backup-simplify]: Simplify y into y 4.752 * [backup-simplify]: Simplify (* 0 1/8) into 0 4.753 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.753 * [backup-simplify]: Simplify (* 0 1/2) into 0 4.754 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.754 * [backup-simplify]: Simplify (* 0 y) into 0 4.754 * [backup-simplify]: Simplify (- 0) into 0 4.755 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 4.755 * [taylor]: Taking taylor expansion of (log 2) in y 4.755 * [taylor]: Taking taylor expansion of 2 in y 4.755 * [backup-simplify]: Simplify 2 into 2 4.755 * [backup-simplify]: Simplify (log 2) into (log 2) 4.756 * [backup-simplify]: Simplify (log 2) into (log 2) 4.756 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 4.757 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.757 * [backup-simplify]: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 4.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.759 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.759 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.759 * [backup-simplify]: Simplify (- y) into (- y) 4.759 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y) 4.759 * [taylor]: Taking taylor expansion of (- 1/2 y) in y 4.759 * [taylor]: Taking taylor expansion of 1/2 in y 4.759 * [backup-simplify]: Simplify 1/2 into 1/2 4.759 * [taylor]: Taking taylor expansion of y in y 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.760 * [backup-simplify]: Simplify (- 0) into 0 4.760 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.760 * [backup-simplify]: Simplify 1/2 into 1/2 4.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.761 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 4.763 * [backup-simplify]: Simplify (+ 0 0) into 0 4.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 4.766 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 4.766 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.767 * [backup-simplify]: Simplify (- 0) into 0 4.768 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.768 * [taylor]: Taking taylor expansion of 1/8 in y 4.768 * [backup-simplify]: Simplify 1/8 into 1/8 4.768 * [backup-simplify]: Simplify 1/8 into 1/8 4.768 * [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)))) 4.769 * [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))) 4.769 * [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 4.769 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in y 4.769 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in y 4.769 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.769 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in y 4.769 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.769 * [taylor]: Taking taylor expansion of x in y 4.769 * [backup-simplify]: Simplify x into x 4.769 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.769 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in y 4.769 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.769 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in y 4.769 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.769 * [taylor]: Taking taylor expansion of x in y 4.769 * [backup-simplify]: Simplify x into x 4.770 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.770 * [taylor]: Taking taylor expansion of 1/8 in y 4.770 * [backup-simplify]: Simplify 1/8 into 1/8 4.770 * [taylor]: Taking taylor expansion of 1/2 in y 4.770 * [backup-simplify]: Simplify 1/2 into 1/2 4.770 * [taylor]: Taking taylor expansion of (log 2) in y 4.770 * [taylor]: Taking taylor expansion of 2 in y 4.770 * [backup-simplify]: Simplify 2 into 2 4.770 * [backup-simplify]: Simplify (log 2) into (log 2) 4.770 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.770 * [taylor]: Taking taylor expansion of (* x y) in y 4.770 * [taylor]: Taking taylor expansion of x in y 4.770 * [backup-simplify]: Simplify x into x 4.770 * [taylor]: Taking taylor expansion of y in y 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (* x 0) into 0 4.771 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.771 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.771 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 4.771 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 4.771 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.771 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 4.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.771 * [taylor]: Taking taylor expansion of x in x 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.771 * [backup-simplify]: Simplify (/ 1 1) into 1 4.771 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 4.771 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.771 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 4.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.771 * [taylor]: Taking taylor expansion of x in x 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (/ 1 1) into 1 4.772 * [taylor]: Taking taylor expansion of 1/8 in x 4.772 * [backup-simplify]: Simplify 1/8 into 1/8 4.772 * [taylor]: Taking taylor expansion of 1/2 in x 4.772 * [backup-simplify]: Simplify 1/2 into 1/2 4.772 * [taylor]: Taking taylor expansion of (log 2) in x 4.772 * [taylor]: Taking taylor expansion of 2 in x 4.772 * [backup-simplify]: Simplify 2 into 2 4.772 * [backup-simplify]: Simplify (log 2) into (log 2) 4.772 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.772 * [taylor]: Taking taylor expansion of (* x y) in x 4.772 * [taylor]: Taking taylor expansion of x in x 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.773 * [taylor]: Taking taylor expansion of y in x 4.773 * [backup-simplify]: Simplify y into y 4.773 * [backup-simplify]: Simplify (* 0 y) into 0 4.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.773 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.773 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 4.773 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 4.773 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 4.773 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 4.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (/ 1 1) into 1 4.774 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 4.774 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 4.774 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 4.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.774 * [taylor]: Taking taylor expansion of x in x 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (/ 1 1) into 1 4.774 * [taylor]: Taking taylor expansion of 1/8 in x 4.774 * [backup-simplify]: Simplify 1/8 into 1/8 4.774 * [taylor]: Taking taylor expansion of 1/2 in x 4.774 * [backup-simplify]: Simplify 1/2 into 1/2 4.774 * [taylor]: Taking taylor expansion of (log 2) in x 4.774 * [taylor]: Taking taylor expansion of 2 in x 4.774 * [backup-simplify]: Simplify 2 into 2 4.775 * [backup-simplify]: Simplify (log 2) into (log 2) 4.775 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.775 * [taylor]: Taking taylor expansion of (* x y) in x 4.775 * [taylor]: Taking taylor expansion of x in x 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.775 * [taylor]: Taking taylor expansion of y in x 4.775 * [backup-simplify]: Simplify y into y 4.775 * [backup-simplify]: Simplify (* 0 y) into 0 4.775 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.775 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.776 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 4.776 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.776 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 4.777 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.777 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.777 * [taylor]: Taking taylor expansion of 1/8 in y 4.777 * [backup-simplify]: Simplify 1/8 into 1/8 4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 4.779 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.781 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 4.782 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.782 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.782 * [backup-simplify]: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) 4.782 * [taylor]: Taking taylor expansion of (- 1/2 (/ 1 y)) in y 4.782 * [taylor]: Taking taylor expansion of 1/2 in y 4.782 * [backup-simplify]: Simplify 1/2 into 1/2 4.782 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.782 * [taylor]: Taking taylor expansion of y in y 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.782 * [backup-simplify]: Simplify (/ 1 1) into 1 4.783 * [backup-simplify]: Simplify (- 1) into -1 4.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.783 * [backup-simplify]: Simplify -1 into -1 4.783 * [backup-simplify]: Simplify 1/8 into 1/8 4.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 4.785 * [backup-simplify]: Simplify (+ 0 0) into 0 4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 4.788 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.789 * [backup-simplify]: Simplify (- 0) into 0 4.790 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 4.790 * [taylor]: Taking taylor expansion of (log 2) in y 4.790 * [taylor]: Taking taylor expansion of 2 in y 4.790 * [backup-simplify]: Simplify 2 into 2 4.790 * [backup-simplify]: Simplify (log 2) into (log 2) 4.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.791 * [backup-simplify]: Simplify (- 0) into 0 4.791 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.791 * [backup-simplify]: Simplify 1/2 into 1/2 4.792 * [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)) 4.792 * [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))) 4.792 * [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 4.792 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in y 4.792 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in y 4.792 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.792 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in y 4.793 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.793 * [taylor]: Taking taylor expansion of -1 in y 4.793 * [backup-simplify]: Simplify -1 into -1 4.793 * [taylor]: Taking taylor expansion of x in y 4.793 * [backup-simplify]: Simplify x into x 4.793 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.793 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in y 4.793 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.793 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in y 4.793 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.793 * [taylor]: Taking taylor expansion of -1 in y 4.793 * [backup-simplify]: Simplify -1 into -1 4.793 * [taylor]: Taking taylor expansion of x in y 4.793 * [backup-simplify]: Simplify x into x 4.793 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.793 * [taylor]: Taking taylor expansion of 1/8 in y 4.793 * [backup-simplify]: Simplify 1/8 into 1/8 4.793 * [taylor]: Taking taylor expansion of 1/2 in y 4.793 * [backup-simplify]: Simplify 1/2 into 1/2 4.793 * [taylor]: Taking taylor expansion of (log 2) in y 4.793 * [taylor]: Taking taylor expansion of 2 in y 4.793 * [backup-simplify]: Simplify 2 into 2 4.793 * [backup-simplify]: Simplify (log 2) into (log 2) 4.793 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.793 * [taylor]: Taking taylor expansion of (* x y) in y 4.793 * [taylor]: Taking taylor expansion of x in y 4.793 * [backup-simplify]: Simplify x into x 4.794 * [taylor]: Taking taylor expansion of y in y 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.794 * [backup-simplify]: Simplify (* x 0) into 0 4.794 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.794 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.794 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 4.794 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 4.794 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.794 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 4.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.794 * [taylor]: Taking taylor expansion of -1 in x 4.794 * [backup-simplify]: Simplify -1 into -1 4.794 * [taylor]: Taking taylor expansion of x in x 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (/ -1 1) into -1 4.795 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 4.795 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.795 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 4.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.795 * [taylor]: Taking taylor expansion of -1 in x 4.795 * [backup-simplify]: Simplify -1 into -1 4.795 * [taylor]: Taking taylor expansion of x in x 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (/ -1 1) into -1 4.795 * [taylor]: Taking taylor expansion of 1/8 in x 4.795 * [backup-simplify]: Simplify 1/8 into 1/8 4.795 * [taylor]: Taking taylor expansion of 1/2 in x 4.795 * [backup-simplify]: Simplify 1/2 into 1/2 4.795 * [taylor]: Taking taylor expansion of (log 2) in x 4.795 * [taylor]: Taking taylor expansion of 2 in x 4.795 * [backup-simplify]: Simplify 2 into 2 4.796 * [backup-simplify]: Simplify (log 2) into (log 2) 4.796 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.796 * [taylor]: Taking taylor expansion of (* x y) in x 4.796 * [taylor]: Taking taylor expansion of x in x 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.796 * [taylor]: Taking taylor expansion of y in x 4.796 * [backup-simplify]: Simplify y into y 4.796 * [backup-simplify]: Simplify (* 0 y) into 0 4.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.796 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.796 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 4.796 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 4.797 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 4.797 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 4.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.797 * [taylor]: Taking taylor expansion of -1 in x 4.797 * [backup-simplify]: Simplify -1 into -1 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (/ -1 1) into -1 4.797 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 4.797 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 4.797 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 4.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.797 * [taylor]: Taking taylor expansion of -1 in x 4.797 * [backup-simplify]: Simplify -1 into -1 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.798 * [backup-simplify]: Simplify (/ -1 1) into -1 4.798 * [taylor]: Taking taylor expansion of 1/8 in x 4.798 * [backup-simplify]: Simplify 1/8 into 1/8 4.798 * [taylor]: Taking taylor expansion of 1/2 in x 4.798 * [backup-simplify]: Simplify 1/2 into 1/2 4.798 * [taylor]: Taking taylor expansion of (log 2) in x 4.798 * [taylor]: Taking taylor expansion of 2 in x 4.798 * [backup-simplify]: Simplify 2 into 2 4.798 * [backup-simplify]: Simplify (log 2) into (log 2) 4.798 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.798 * [taylor]: Taking taylor expansion of (* x y) in x 4.798 * [taylor]: Taking taylor expansion of x in x 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.798 * [taylor]: Taking taylor expansion of y in x 4.798 * [backup-simplify]: Simplify y into y 4.798 * [backup-simplify]: Simplify (* 0 y) into 0 4.799 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.799 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.799 * [backup-simplify]: Simplify (* -1 1/8) into -1/8 4.800 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 4.800 * [backup-simplify]: Simplify (* -1 -1/8) into 1/8 4.800 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.801 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 4.801 * [taylor]: Taking taylor expansion of 1/8 in y 4.801 * [backup-simplify]: Simplify 1/8 into 1/8 4.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.802 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/8)) into 0 4.803 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.804 * [backup-simplify]: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 4.804 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.805 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.805 * [backup-simplify]: Simplify (+ -1/2 (- (/ 1 y))) into (- (+ 1/2 (/ 1 y))) 4.805 * [taylor]: Taking taylor expansion of (- (+ 1/2 (/ 1 y))) in y 4.805 * [taylor]: Taking taylor expansion of (+ 1/2 (/ 1 y)) in y 4.805 * [taylor]: Taking taylor expansion of 1/2 in y 4.805 * [backup-simplify]: Simplify 1/2 into 1/2 4.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.805 * [taylor]: Taking taylor expansion of y in y 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (/ 1 1) into 1 4.805 * [backup-simplify]: Simplify (+ 0 1) into 1 4.806 * [backup-simplify]: Simplify (- 1) into -1 4.806 * [backup-simplify]: Simplify -1 into -1 4.806 * [backup-simplify]: Simplify 1/8 into 1/8 4.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.808 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 4.808 * [backup-simplify]: Simplify (+ 0 0) into 0 4.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.810 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 4.810 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 4.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.812 * [backup-simplify]: Simplify (- 0) into 0 4.812 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 4.812 * [taylor]: Taking taylor expansion of (log 2) in y 4.812 * [taylor]: Taking taylor expansion of 2 in y 4.812 * [backup-simplify]: Simplify 2 into 2 4.813 * [backup-simplify]: Simplify (log 2) into (log 2) 4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.814 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.814 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.814 * [backup-simplify]: Simplify -1/2 into -1/2 4.815 * [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)) 4.815 * * * [progress]: simplifying candidates 4.815 * * * * [progress]: [ 1 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 2 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 3 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 4 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 5 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 6 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 7 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 8 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 9 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 10 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 11 / 39 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))> 4.815 * * * * [progress]: [ 12 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 13 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 14 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 15 / 39 ] simplifiying candidate # 4.815 * * * * [progress]: [ 16 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 17 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 18 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 19 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 20 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 21 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 22 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 23 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 24 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 25 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 26 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 27 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 28 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 29 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 30 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 31 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 32 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 33 / 39 ] simplifiying candidate #real (real->posit16 (- (fma x (fma x 1/8 1/2) (log 2)) (* y x)))))> 4.816 * * * * [progress]: [ 34 / 39 ] simplifiying candidate # 4.816 * * * * [progress]: [ 35 / 39 ] simplifiying candidate # 4.817 * * * * [progress]: [ 36 / 39 ] simplifiying candidate # 4.817 * * * * [progress]: [ 37 / 39 ] simplifiying candidate # 4.817 * * * * [progress]: [ 38 / 39 ] simplifiying candidate # 4.817 * * * * [progress]: [ 39 / 39 ] simplifiying candidate # 4.817 * [simplify]: Simplifying: (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))) (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))) (+ (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)))) (+ (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)) 4.818 * * [simplify]: iteration 0: 59 enodes 4.837 * * [simplify]: iteration 1: 132 enodes 4.885 * * [simplify]: iteration 2: 369 enodes 5.127 * * [simplify]: iteration 3: 1868 enodes 5.578 * * [simplify]: iteration 4: 2003 enodes 6.024 * * [simplify]: iteration complete: 2003 enodes 6.024 * * [simplify]: Extracting #0: cost 30 inf + 0 6.025 * * [simplify]: Extracting #1: cost 243 inf + 0 6.027 * * [simplify]: Extracting #2: cost 580 inf + 1137 6.050 * * [simplify]: Extracting #3: cost 243 inf + 80390 6.087 * * [simplify]: Extracting #4: cost 14 inf + 145981 6.129 * * [simplify]: Extracting #5: cost 0 inf + 151019 6.172 * [simplify]: Simplified to: (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))) (* (exp (* (fma 1/8 x 1/2) x)) 2) (* (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))) (- (* (* (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)))) (* x y)) (* (+ (- x) x) y) (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y)) (* (+ (- x) x) y) (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y)) (* (+ (- x) x) y) (expm1 (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (log1p (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (- (* x y)) (- (* x y)) (- (* x y)) (exp (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (log (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (exp (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (* (cbrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (cbrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y)))) (cbrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (* (* (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y)) (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (sqrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* x y))) (sqrt (- (fma x (fma 1/8 x 1/2) (log 2)) (* x 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)))) (* (* (* x y) (* x y)) (* x y))) (fma (fma x (fma 1/8 x 1/2) (log 2)) (fma x (fma 1/8 x 1/2) (log 2)) (* (* x y) (+ (fma x (fma 1/8 x 1/2) (log 2)) (* x y)))) (- (* x y)) (- (* (fma x (fma 1/8 x 1/2) (log 2)) (fma x (fma 1/8 x 1/2) (log 2))) (* (* x y) (* x y))) (fma y x (fma x (fma 1/8 x 1/2) (log 2))) (- (log 2) (* x y)) (- (* x y)) (real->posit16 (- (fma x (fma 1/8 x 1/2) (log 2)) (* x 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)) (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)) 6.175 * * * [progress]: adding candidates to table 6.376 * * [progress]: iteration 4 / 4 6.376 * * * [progress]: picking best candidate 6.383 * * * * [pick]: Picked #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))> 6.383 * * * [progress]: localizing error 6.435 * * * [progress]: generating rewritten candidates 6.435 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 6.435 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 1) 6.435 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 6.443 * * * [progress]: generating series expansions 6.443 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 6.444 * [backup-simplify]: Simplify (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) into (fma x (fma x 1/8 1/2) (log 2)) 6.444 * [approximate]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in (x) around 0 6.444 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 6.444 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 6.444 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 6.444 * [taylor]: Taking taylor expansion of x in x 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 6.444 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 6.444 * [taylor]: Taking taylor expansion of (* x 1/8) in x 6.444 * [taylor]: Taking taylor expansion of x in x 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [taylor]: Taking taylor expansion of 1/8 in x 6.444 * [backup-simplify]: Simplify 1/8 into 1/8 6.444 * [taylor]: Taking taylor expansion of 1/2 in x 6.444 * [backup-simplify]: Simplify 1/2 into 1/2 6.444 * [taylor]: Taking taylor expansion of (log 2) in x 6.444 * [taylor]: Taking taylor expansion of 2 in x 6.444 * [backup-simplify]: Simplify 2 into 2 6.445 * [backup-simplify]: Simplify (log 2) into (log 2) 6.445 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 6.445 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 6.445 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 6.445 * [taylor]: Taking taylor expansion of x in x 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 1 into 1 6.445 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 6.445 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 6.445 * [taylor]: Taking taylor expansion of (* x 1/8) in x 6.445 * [taylor]: Taking taylor expansion of x in x 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify 1 into 1 6.445 * [taylor]: Taking taylor expansion of 1/8 in x 6.445 * [backup-simplify]: Simplify 1/8 into 1/8 6.445 * [taylor]: Taking taylor expansion of 1/2 in x 6.445 * [backup-simplify]: Simplify 1/2 into 1/2 6.445 * [taylor]: Taking taylor expansion of (log 2) in x 6.445 * [taylor]: Taking taylor expansion of 2 in x 6.445 * [backup-simplify]: Simplify 2 into 2 6.446 * [backup-simplify]: Simplify (log 2) into (log 2) 6.446 * [backup-simplify]: Simplify (* 0 1/8) into 0 6.446 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.447 * [backup-simplify]: Simplify (* 0 1/2) into 0 6.448 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 6.448 * [backup-simplify]: Simplify (log 2) into (log 2) 6.449 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 6.449 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.450 * [backup-simplify]: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 6.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 6.451 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.451 * [backup-simplify]: Simplify 1/2 into 1/2 6.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 6.452 * [backup-simplify]: Simplify (+ 0 0) into 0 6.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 6.455 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 6.455 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.455 * [backup-simplify]: Simplify 1/8 into 1/8 6.456 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 6.456 * [backup-simplify]: Simplify (posit16->real (real->posit16 (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)) 6.456 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in (x) around 0 6.456 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 6.456 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 6.456 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 6.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.456 * [taylor]: Taking taylor expansion of x in x 6.456 * [backup-simplify]: Simplify 0 into 0 6.456 * [backup-simplify]: Simplify 1 into 1 6.457 * [backup-simplify]: Simplify (/ 1 1) into 1 6.457 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 6.457 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 6.457 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 6.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.457 * [taylor]: Taking taylor expansion of x in x 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 1 into 1 6.457 * [backup-simplify]: Simplify (/ 1 1) into 1 6.457 * [taylor]: Taking taylor expansion of 1/8 in x 6.457 * [backup-simplify]: Simplify 1/8 into 1/8 6.457 * [taylor]: Taking taylor expansion of 1/2 in x 6.457 * [backup-simplify]: Simplify 1/2 into 1/2 6.457 * [taylor]: Taking taylor expansion of (log 2) in x 6.457 * [taylor]: Taking taylor expansion of 2 in x 6.457 * [backup-simplify]: Simplify 2 into 2 6.458 * [backup-simplify]: Simplify (log 2) into (log 2) 6.458 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 6.458 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 6.458 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 6.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.458 * [taylor]: Taking taylor expansion of x in x 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.458 * [backup-simplify]: Simplify (/ 1 1) into 1 6.458 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 6.458 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 6.458 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 6.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.458 * [taylor]: Taking taylor expansion of x in x 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.459 * [backup-simplify]: Simplify (/ 1 1) into 1 6.459 * [taylor]: Taking taylor expansion of 1/8 in x 6.459 * [backup-simplify]: Simplify 1/8 into 1/8 6.459 * [taylor]: Taking taylor expansion of 1/2 in x 6.459 * [backup-simplify]: Simplify 1/2 into 1/2 6.459 * [taylor]: Taking taylor expansion of (log 2) in x 6.459 * [taylor]: Taking taylor expansion of 2 in x 6.459 * [backup-simplify]: Simplify 2 into 2 6.459 * [backup-simplify]: Simplify (log 2) into (log 2) 6.460 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 6.460 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.460 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 6.461 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.461 * [backup-simplify]: Simplify 1/8 into 1/8 6.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 6.462 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.464 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 6.464 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.464 * [backup-simplify]: Simplify 1/2 into 1/2 6.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 6.468 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 6.468 * [backup-simplify]: Simplify (log 2) into (log 2) 6.469 * [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)))) 6.469 * [backup-simplify]: Simplify (posit16->real (real->posit16 (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)) 6.469 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in (x) around 0 6.469 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 6.469 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 6.469 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 6.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.469 * [taylor]: Taking taylor expansion of -1 in x 6.469 * [backup-simplify]: Simplify -1 into -1 6.469 * [taylor]: Taking taylor expansion of x in x 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [backup-simplify]: Simplify (/ -1 1) into -1 6.469 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 6.469 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 6.469 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 6.469 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.469 * [taylor]: Taking taylor expansion of -1 in x 6.469 * [backup-simplify]: Simplify -1 into -1 6.470 * [taylor]: Taking taylor expansion of x in x 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (/ -1 1) into -1 6.470 * [taylor]: Taking taylor expansion of 1/8 in x 6.470 * [backup-simplify]: Simplify 1/8 into 1/8 6.470 * [taylor]: Taking taylor expansion of 1/2 in x 6.470 * [backup-simplify]: Simplify 1/2 into 1/2 6.470 * [taylor]: Taking taylor expansion of (log 2) in x 6.470 * [taylor]: Taking taylor expansion of 2 in x 6.470 * [backup-simplify]: Simplify 2 into 2 6.470 * [backup-simplify]: Simplify (log 2) into (log 2) 6.470 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 6.470 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 6.470 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 6.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.471 * [taylor]: Taking taylor expansion of -1 in x 6.471 * [backup-simplify]: Simplify -1 into -1 6.471 * [taylor]: Taking taylor expansion of x in x 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.471 * [backup-simplify]: Simplify (/ -1 1) into -1 6.471 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 6.471 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 6.471 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 6.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.471 * [taylor]: Taking taylor expansion of -1 in x 6.471 * [backup-simplify]: Simplify -1 into -1 6.471 * [taylor]: Taking taylor expansion of x in x 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.472 * [backup-simplify]: Simplify (/ -1 1) into -1 6.472 * [taylor]: Taking taylor expansion of 1/8 in x 6.472 * [backup-simplify]: Simplify 1/8 into 1/8 6.472 * [taylor]: Taking taylor expansion of 1/2 in x 6.472 * [backup-simplify]: Simplify 1/2 into 1/2 6.472 * [taylor]: Taking taylor expansion of (log 2) in x 6.472 * [taylor]: Taking taylor expansion of 2 in x 6.472 * [backup-simplify]: Simplify 2 into 2 6.472 * [backup-simplify]: Simplify (log 2) into (log 2) 6.473 * [backup-simplify]: Simplify (* -1 1/8) into -1/8 6.473 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 6.473 * [backup-simplify]: Simplify (* -1 -1/8) into 1/8 6.474 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.474 * [backup-simplify]: Simplify 1/8 into 1/8 6.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/8)) into 0 6.475 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.477 * [backup-simplify]: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 6.477 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.477 * [backup-simplify]: Simplify -1/2 into -1/2 6.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.479 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 6.482 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 6.482 * [backup-simplify]: Simplify (log 2) into (log 2) 6.482 * [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)))) 6.482 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 1) 6.483 * [backup-simplify]: Simplify (fma x (fma x 1/8 1/2) (log 2)) into (fma x (fma x 1/8 1/2) (log 2)) 6.483 * [approximate]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in (x) around 0 6.483 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 6.483 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 6.483 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 6.483 * [taylor]: Taking taylor expansion of x in x 6.483 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify 1 into 1 6.483 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 6.483 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 6.483 * [taylor]: Taking taylor expansion of (* x 1/8) in x 6.483 * [taylor]: Taking taylor expansion of x in x 6.483 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify 1 into 1 6.483 * [taylor]: Taking taylor expansion of 1/8 in x 6.483 * [backup-simplify]: Simplify 1/8 into 1/8 6.483 * [taylor]: Taking taylor expansion of 1/2 in x 6.483 * [backup-simplify]: Simplify 1/2 into 1/2 6.483 * [taylor]: Taking taylor expansion of (log 2) in x 6.483 * [taylor]: Taking taylor expansion of 2 in x 6.483 * [backup-simplify]: Simplify 2 into 2 6.483 * [backup-simplify]: Simplify (log 2) into (log 2) 6.483 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 6.483 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 6.483 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 6.484 * [taylor]: Taking taylor expansion of x in x 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.484 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 6.484 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 6.484 * [taylor]: Taking taylor expansion of (* x 1/8) in x 6.484 * [taylor]: Taking taylor expansion of x in x 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.484 * [taylor]: Taking taylor expansion of 1/8 in x 6.484 * [backup-simplify]: Simplify 1/8 into 1/8 6.484 * [taylor]: Taking taylor expansion of 1/2 in x 6.484 * [backup-simplify]: Simplify 1/2 into 1/2 6.484 * [taylor]: Taking taylor expansion of (log 2) in x 6.484 * [taylor]: Taking taylor expansion of 2 in x 6.484 * [backup-simplify]: Simplify 2 into 2 6.484 * [backup-simplify]: Simplify (log 2) into (log 2) 6.485 * [backup-simplify]: Simplify (* 0 1/8) into 0 6.485 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.485 * [backup-simplify]: Simplify (* 0 1/2) into 0 6.486 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 6.486 * [backup-simplify]: Simplify (log 2) into (log 2) 6.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 6.487 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.488 * [backup-simplify]: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 6.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 6.489 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.490 * [backup-simplify]: Simplify 1/2 into 1/2 6.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 6.491 * [backup-simplify]: Simplify (+ 0 0) into 0 6.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 6.494 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 6.494 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.494 * [backup-simplify]: Simplify 1/8 into 1/8 6.495 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 6.495 * [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)) 6.495 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in (x) around 0 6.495 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 6.495 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 6.495 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 6.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.495 * [taylor]: Taking taylor expansion of x in x 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.496 * [backup-simplify]: Simplify (/ 1 1) into 1 6.496 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 6.496 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 6.496 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 6.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.496 * [taylor]: Taking taylor expansion of x in x 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 1 into 1 6.496 * [backup-simplify]: Simplify (/ 1 1) into 1 6.496 * [taylor]: Taking taylor expansion of 1/8 in x 6.496 * [backup-simplify]: Simplify 1/8 into 1/8 6.496 * [taylor]: Taking taylor expansion of 1/2 in x 6.496 * [backup-simplify]: Simplify 1/2 into 1/2 6.496 * [taylor]: Taking taylor expansion of (log 2) in x 6.496 * [taylor]: Taking taylor expansion of 2 in x 6.496 * [backup-simplify]: Simplify 2 into 2 6.497 * [backup-simplify]: Simplify (log 2) into (log 2) 6.497 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 6.497 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 6.497 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 6.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.497 * [taylor]: Taking taylor expansion of x in x 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 1 into 1 6.497 * [backup-simplify]: Simplify (/ 1 1) into 1 6.497 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 6.497 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 6.497 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 6.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.497 * [taylor]: Taking taylor expansion of x in x 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 1 into 1 6.498 * [backup-simplify]: Simplify (/ 1 1) into 1 6.498 * [taylor]: Taking taylor expansion of 1/8 in x 6.498 * [backup-simplify]: Simplify 1/8 into 1/8 6.498 * [taylor]: Taking taylor expansion of 1/2 in x 6.498 * [backup-simplify]: Simplify 1/2 into 1/2 6.498 * [taylor]: Taking taylor expansion of (log 2) in x 6.498 * [taylor]: Taking taylor expansion of 2 in x 6.498 * [backup-simplify]: Simplify 2 into 2 6.498 * [backup-simplify]: Simplify (log 2) into (log 2) 6.499 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 6.499 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.499 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 6.499 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.499 * [backup-simplify]: Simplify 1/8 into 1/8 6.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 6.501 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.501 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 6.502 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.502 * [backup-simplify]: Simplify 1/2 into 1/2 6.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 6.503 * [backup-simplify]: Simplify (+ 0 0) into 0 6.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 6.505 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 6.505 * [backup-simplify]: Simplify (log 2) into (log 2) 6.506 * [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)))) 6.506 * [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)) 6.506 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in (x) around 0 6.506 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 6.507 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 6.507 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 6.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.507 * [taylor]: Taking taylor expansion of -1 in x 6.507 * [backup-simplify]: Simplify -1 into -1 6.507 * [taylor]: Taking taylor expansion of x in x 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 1 into 1 6.507 * [backup-simplify]: Simplify (/ -1 1) into -1 6.507 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 6.507 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 6.507 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 6.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.507 * [taylor]: Taking taylor expansion of -1 in x 6.507 * [backup-simplify]: Simplify -1 into -1 6.507 * [taylor]: Taking taylor expansion of x in x 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 1 into 1 6.508 * [backup-simplify]: Simplify (/ -1 1) into -1 6.508 * [taylor]: Taking taylor expansion of 1/8 in x 6.508 * [backup-simplify]: Simplify 1/8 into 1/8 6.508 * [taylor]: Taking taylor expansion of 1/2 in x 6.508 * [backup-simplify]: Simplify 1/2 into 1/2 6.508 * [taylor]: Taking taylor expansion of (log 2) in x 6.508 * [taylor]: Taking taylor expansion of 2 in x 6.508 * [backup-simplify]: Simplify 2 into 2 6.508 * [backup-simplify]: Simplify (log 2) into (log 2) 6.508 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 6.508 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 6.508 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 6.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.508 * [taylor]: Taking taylor expansion of -1 in x 6.508 * [backup-simplify]: Simplify -1 into -1 6.508 * [taylor]: Taking taylor expansion of x in x 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 1 into 1 6.509 * [backup-simplify]: Simplify (/ -1 1) into -1 6.509 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 6.509 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 6.509 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 6.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.509 * [taylor]: Taking taylor expansion of -1 in x 6.509 * [backup-simplify]: Simplify -1 into -1 6.509 * [taylor]: Taking taylor expansion of x in x 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [backup-simplify]: Simplify (/ -1 1) into -1 6.509 * [taylor]: Taking taylor expansion of 1/8 in x 6.510 * [backup-simplify]: Simplify 1/8 into 1/8 6.510 * [taylor]: Taking taylor expansion of 1/2 in x 6.510 * [backup-simplify]: Simplify 1/2 into 1/2 6.510 * [taylor]: Taking taylor expansion of (log 2) in x 6.510 * [taylor]: Taking taylor expansion of 2 in x 6.510 * [backup-simplify]: Simplify 2 into 2 6.510 * [backup-simplify]: Simplify (log 2) into (log 2) 6.510 * [backup-simplify]: Simplify (* -1 1/8) into -1/8 6.511 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 6.511 * [backup-simplify]: Simplify (* -1 -1/8) into 1/8 6.511 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.511 * [backup-simplify]: Simplify 1/8 into 1/8 6.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.513 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/8)) into 0 6.513 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 6.515 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.515 * [backup-simplify]: Simplify -1/2 into -1/2 6.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 6.517 * [backup-simplify]: Simplify (+ 0 0) into 0 6.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 6.519 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 6.520 * [backup-simplify]: Simplify (log 2) into (log 2) 6.520 * [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)))) 6.520 * * * * [progress]: [ 3 / 3 ] generating series at (2) 6.521 * [backup-simplify]: Simplify (- (posit16->real (real->posit16 (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)) 6.521 * [approximate]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in (x y) around 0 6.521 * [taylor]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in y 6.521 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in y 6.521 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 6.521 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in y 6.521 * [taylor]: Taking taylor expansion of x in y 6.521 * [backup-simplify]: Simplify x into x 6.521 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in y 6.521 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 6.521 * [taylor]: Taking taylor expansion of (* x 1/8) in y 6.521 * [taylor]: Taking taylor expansion of x in y 6.521 * [backup-simplify]: Simplify x into x 6.521 * [taylor]: Taking taylor expansion of 1/8 in y 6.521 * [backup-simplify]: Simplify 1/8 into 1/8 6.521 * [taylor]: Taking taylor expansion of 1/2 in y 6.521 * [backup-simplify]: Simplify 1/2 into 1/2 6.521 * [taylor]: Taking taylor expansion of (log 2) in y 6.521 * [taylor]: Taking taylor expansion of 2 in y 6.521 * [backup-simplify]: Simplify 2 into 2 6.522 * [backup-simplify]: Simplify (log 2) into (log 2) 6.522 * [taylor]: Taking taylor expansion of (* x y) in y 6.522 * [taylor]: Taking taylor expansion of x in y 6.522 * [backup-simplify]: Simplify x into x 6.522 * [taylor]: Taking taylor expansion of y in y 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in x 6.522 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 6.522 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 6.522 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 6.522 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 6.522 * [taylor]: Taking taylor expansion of (* x 1/8) in x 6.522 * [taylor]: Taking taylor expansion of x in x 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of 1/8 in x 6.522 * [backup-simplify]: Simplify 1/8 into 1/8 6.522 * [taylor]: Taking taylor expansion of 1/2 in x 6.522 * [backup-simplify]: Simplify 1/2 into 1/2 6.522 * [taylor]: Taking taylor expansion of (log 2) in x 6.522 * [taylor]: Taking taylor expansion of 2 in x 6.522 * [backup-simplify]: Simplify 2 into 2 6.522 * [backup-simplify]: Simplify (log 2) into (log 2) 6.523 * [taylor]: Taking taylor expansion of (* x y) in x 6.523 * [taylor]: Taking taylor expansion of x in x 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [taylor]: Taking taylor expansion of y in x 6.523 * [backup-simplify]: Simplify y into y 6.523 * [taylor]: Taking taylor expansion of (- (fma x (fma x 1/8 1/2) (log 2)) (* x y)) in x 6.523 * [taylor]: Taking taylor expansion of (fma x (fma x 1/8 1/2) (log 2)) in x 6.523 * [taylor]: Rewrote expression to (+ (* x (fma x 1/8 1/2)) (log 2)) 6.523 * [taylor]: Taking taylor expansion of (* x (fma x 1/8 1/2)) in x 6.523 * [taylor]: Taking taylor expansion of x in x 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [taylor]: Taking taylor expansion of (fma x 1/8 1/2) in x 6.523 * [taylor]: Rewrote expression to (+ (* x 1/8) 1/2) 6.523 * [taylor]: Taking taylor expansion of (* x 1/8) in x 6.523 * [taylor]: Taking taylor expansion of x in x 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [taylor]: Taking taylor expansion of 1/8 in x 6.523 * [backup-simplify]: Simplify 1/8 into 1/8 6.523 * [taylor]: Taking taylor expansion of 1/2 in x 6.523 * [backup-simplify]: Simplify 1/2 into 1/2 6.523 * [taylor]: Taking taylor expansion of (log 2) in x 6.523 * [taylor]: Taking taylor expansion of 2 in x 6.523 * [backup-simplify]: Simplify 2 into 2 6.523 * [backup-simplify]: Simplify (log 2) into (log 2) 6.523 * [taylor]: Taking taylor expansion of (* x y) in x 6.524 * [taylor]: Taking taylor expansion of x in x 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [taylor]: Taking taylor expansion of y in x 6.524 * [backup-simplify]: Simplify y into y 6.524 * [backup-simplify]: Simplify (* 0 1/8) into 0 6.524 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.525 * [backup-simplify]: Simplify (* 0 1/2) into 0 6.525 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 6.525 * [backup-simplify]: Simplify (* 0 y) into 0 6.526 * [backup-simplify]: Simplify (- 0) into 0 6.527 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 6.527 * [taylor]: Taking taylor expansion of (log 2) in y 6.527 * [taylor]: Taking taylor expansion of 2 in y 6.527 * [backup-simplify]: Simplify 2 into 2 6.527 * [backup-simplify]: Simplify (log 2) into (log 2) 6.527 * [backup-simplify]: Simplify (log 2) into (log 2) 6.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1/8)) into 1/8 6.528 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.532 * [backup-simplify]: Simplify (+ (* 0 1/8) (* 1 1/2)) into 1/2 6.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 6.533 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.534 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.534 * [backup-simplify]: Simplify (- y) into (- y) 6.534 * [backup-simplify]: Simplify (+ 1/2 (- y)) into (- 1/2 y) 6.534 * [taylor]: Taking taylor expansion of (- 1/2 y) in y 6.534 * [taylor]: Taking taylor expansion of 1/2 in y 6.534 * [backup-simplify]: Simplify 1/2 into 1/2 6.534 * [taylor]: Taking taylor expansion of y in y 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify (- 0) into 0 6.535 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.535 * [backup-simplify]: Simplify 1/2 into 1/2 6.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 6.536 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 6.537 * [backup-simplify]: Simplify (+ 0 0) into 0 6.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 1/2))) into 1/8 6.540 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 6.541 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.542 * [backup-simplify]: Simplify (- 0) into 0 6.542 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.542 * [taylor]: Taking taylor expansion of 1/8 in y 6.542 * [backup-simplify]: Simplify 1/8 into 1/8 6.542 * [backup-simplify]: Simplify 1/8 into 1/8 6.543 * [backup-simplify]: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) 6.543 * [backup-simplify]: Simplify (- (posit16->real (real->posit16 (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))) 6.543 * [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 6.543 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in y 6.543 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in y 6.543 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 6.543 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in y 6.543 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.543 * [taylor]: Taking taylor expansion of x in y 6.543 * [backup-simplify]: Simplify x into x 6.543 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.543 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in y 6.544 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 6.544 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in y 6.544 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.544 * [taylor]: Taking taylor expansion of x in y 6.544 * [backup-simplify]: Simplify x into x 6.544 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.544 * [taylor]: Taking taylor expansion of 1/8 in y 6.544 * [backup-simplify]: Simplify 1/8 into 1/8 6.544 * [taylor]: Taking taylor expansion of 1/2 in y 6.544 * [backup-simplify]: Simplify 1/2 into 1/2 6.544 * [taylor]: Taking taylor expansion of (log 2) in y 6.544 * [taylor]: Taking taylor expansion of 2 in y 6.544 * [backup-simplify]: Simplify 2 into 2 6.544 * [backup-simplify]: Simplify (log 2) into (log 2) 6.544 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.544 * [taylor]: Taking taylor expansion of (* x y) in y 6.544 * [taylor]: Taking taylor expansion of x in y 6.544 * [backup-simplify]: Simplify x into x 6.544 * [taylor]: Taking taylor expansion of y in y 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [backup-simplify]: Simplify (* x 0) into 0 6.545 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.545 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.545 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 6.545 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 6.545 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 6.545 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 6.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.545 * [taylor]: Taking taylor expansion of x in x 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 1 into 1 6.545 * [backup-simplify]: Simplify (/ 1 1) into 1 6.545 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 6.546 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 6.546 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 6.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.546 * [taylor]: Taking taylor expansion of x in x 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 1 into 1 6.546 * [backup-simplify]: Simplify (/ 1 1) into 1 6.546 * [taylor]: Taking taylor expansion of 1/8 in x 6.546 * [backup-simplify]: Simplify 1/8 into 1/8 6.546 * [taylor]: Taking taylor expansion of 1/2 in x 6.546 * [backup-simplify]: Simplify 1/2 into 1/2 6.546 * [taylor]: Taking taylor expansion of (log 2) in x 6.546 * [taylor]: Taking taylor expansion of 2 in x 6.546 * [backup-simplify]: Simplify 2 into 2 6.546 * [backup-simplify]: Simplify (log 2) into (log 2) 6.547 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.547 * [taylor]: Taking taylor expansion of (* x y) in x 6.547 * [taylor]: Taking taylor expansion of x in x 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.547 * [taylor]: Taking taylor expansion of y in x 6.547 * [backup-simplify]: Simplify y into y 6.547 * [backup-simplify]: Simplify (* 0 y) into 0 6.547 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.547 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.547 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 6.547 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 x) 1/8 1/2) (log 2)) in x 6.547 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) (log 2)) 6.547 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 1/2)) in x 6.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.547 * [taylor]: Taking taylor expansion of x in x 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.548 * [backup-simplify]: Simplify (/ 1 1) into 1 6.548 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1/8 1/2) in x 6.548 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1/8) 1/2) 6.548 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1/8) in x 6.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.548 * [taylor]: Taking taylor expansion of x in x 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify 1 into 1 6.548 * [backup-simplify]: Simplify (/ 1 1) into 1 6.548 * [taylor]: Taking taylor expansion of 1/8 in x 6.548 * [backup-simplify]: Simplify 1/8 into 1/8 6.548 * [taylor]: Taking taylor expansion of 1/2 in x 6.548 * [backup-simplify]: Simplify 1/2 into 1/2 6.548 * [taylor]: Taking taylor expansion of (log 2) in x 6.548 * [taylor]: Taking taylor expansion of 2 in x 6.548 * [backup-simplify]: Simplify 2 into 2 6.548 * [backup-simplify]: Simplify (log 2) into (log 2) 6.548 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.548 * [taylor]: Taking taylor expansion of (* x y) in x 6.548 * [taylor]: Taking taylor expansion of x in x 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify 1 into 1 6.548 * [taylor]: Taking taylor expansion of y in x 6.548 * [backup-simplify]: Simplify y into y 6.548 * [backup-simplify]: Simplify (* 0 y) into 0 6.549 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.549 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.549 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 6.549 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.550 * [backup-simplify]: Simplify (* 1 1/8) into 1/8 6.550 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.550 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.550 * [taylor]: Taking taylor expansion of 1/8 in y 6.550 * [backup-simplify]: Simplify 1/8 into 1/8 6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1/8)) into 0 6.552 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 0 1/8)) into 1/2 6.554 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.554 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.554 * [backup-simplify]: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) 6.554 * [taylor]: Taking taylor expansion of (- 1/2 (/ 1 y)) in y 6.554 * [taylor]: Taking taylor expansion of 1/2 in y 6.554 * [backup-simplify]: Simplify 1/2 into 1/2 6.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.554 * [taylor]: Taking taylor expansion of y in y 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [backup-simplify]: Simplify (/ 1 1) into 1 6.554 * [backup-simplify]: Simplify (- 1) into -1 6.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.555 * [backup-simplify]: Simplify -1 into -1 6.555 * [backup-simplify]: Simplify 1/8 into 1/8 6.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/8))) into 0 6.557 * [backup-simplify]: Simplify (+ 0 0) into 0 6.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (* 0 1/8))) into 0 6.559 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 6.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.560 * [backup-simplify]: Simplify (- 0) into 0 6.561 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 6.561 * [taylor]: Taking taylor expansion of (log 2) in y 6.561 * [taylor]: Taking taylor expansion of 2 in y 6.561 * [backup-simplify]: Simplify 2 into 2 6.562 * [backup-simplify]: Simplify (log 2) into (log 2) 6.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.562 * [backup-simplify]: Simplify (- 0) into 0 6.563 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.563 * [backup-simplify]: Simplify 1/2 into 1/2 6.563 * [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)) 6.564 * [backup-simplify]: Simplify (- (posit16->real (real->posit16 (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))) 6.564 * [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 6.564 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in y 6.564 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in y 6.564 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 6.564 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in y 6.564 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.564 * [taylor]: Taking taylor expansion of -1 in y 6.564 * [backup-simplify]: Simplify -1 into -1 6.564 * [taylor]: Taking taylor expansion of x in y 6.564 * [backup-simplify]: Simplify x into x 6.564 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.564 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in y 6.564 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 6.564 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in y 6.564 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.564 * [taylor]: Taking taylor expansion of -1 in y 6.564 * [backup-simplify]: Simplify -1 into -1 6.564 * [taylor]: Taking taylor expansion of x in y 6.564 * [backup-simplify]: Simplify x into x 6.564 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.564 * [taylor]: Taking taylor expansion of 1/8 in y 6.564 * [backup-simplify]: Simplify 1/8 into 1/8 6.565 * [taylor]: Taking taylor expansion of 1/2 in y 6.565 * [backup-simplify]: Simplify 1/2 into 1/2 6.565 * [taylor]: Taking taylor expansion of (log 2) in y 6.565 * [taylor]: Taking taylor expansion of 2 in y 6.565 * [backup-simplify]: Simplify 2 into 2 6.565 * [backup-simplify]: Simplify (log 2) into (log 2) 6.565 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 6.565 * [taylor]: Taking taylor expansion of (* x y) in y 6.565 * [taylor]: Taking taylor expansion of x in y 6.565 * [backup-simplify]: Simplify x into x 6.565 * [taylor]: Taking taylor expansion of y in y 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify (* x 0) into 0 6.565 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 6.566 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.566 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 6.566 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 6.566 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 6.566 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 6.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.566 * [taylor]: Taking taylor expansion of -1 in x 6.566 * [backup-simplify]: Simplify -1 into -1 6.566 * [taylor]: Taking taylor expansion of x in x 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify (/ -1 1) into -1 6.566 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 6.566 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 6.566 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 6.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.566 * [taylor]: Taking taylor expansion of -1 in x 6.566 * [backup-simplify]: Simplify -1 into -1 6.566 * [taylor]: Taking taylor expansion of x in x 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (/ -1 1) into -1 6.567 * [taylor]: Taking taylor expansion of 1/8 in x 6.567 * [backup-simplify]: Simplify 1/8 into 1/8 6.567 * [taylor]: Taking taylor expansion of 1/2 in x 6.567 * [backup-simplify]: Simplify 1/2 into 1/2 6.567 * [taylor]: Taking taylor expansion of (log 2) in x 6.567 * [taylor]: Taking taylor expansion of 2 in x 6.567 * [backup-simplify]: Simplify 2 into 2 6.567 * [backup-simplify]: Simplify (log 2) into (log 2) 6.567 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.567 * [taylor]: Taking taylor expansion of (* x y) in x 6.567 * [taylor]: Taking taylor expansion of x in x 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [taylor]: Taking taylor expansion of y in x 6.567 * [backup-simplify]: Simplify y into y 6.567 * [backup-simplify]: Simplify (* 0 y) into 0 6.568 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.568 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.568 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) (/ 1 (* x y))) in x 6.568 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 x) 1/8 1/2) (log 2)) in x 6.568 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) (log 2)) 6.568 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 x) 1/8 1/2)) in x 6.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.568 * [taylor]: Taking taylor expansion of -1 in x 6.568 * [backup-simplify]: Simplify -1 into -1 6.568 * [taylor]: Taking taylor expansion of x in x 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify 1 into 1 6.569 * [backup-simplify]: Simplify (/ -1 1) into -1 6.569 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1/8 1/2) in x 6.569 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1/8) 1/2) 6.569 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1/8) in x 6.569 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.569 * [taylor]: Taking taylor expansion of -1 in x 6.569 * [backup-simplify]: Simplify -1 into -1 6.569 * [taylor]: Taking taylor expansion of x in x 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 1 into 1 6.569 * [backup-simplify]: Simplify (/ -1 1) into -1 6.569 * [taylor]: Taking taylor expansion of 1/8 in x 6.569 * [backup-simplify]: Simplify 1/8 into 1/8 6.569 * [taylor]: Taking taylor expansion of 1/2 in x 6.569 * [backup-simplify]: Simplify 1/2 into 1/2 6.569 * [taylor]: Taking taylor expansion of (log 2) in x 6.569 * [taylor]: Taking taylor expansion of 2 in x 6.569 * [backup-simplify]: Simplify 2 into 2 6.570 * [backup-simplify]: Simplify (log 2) into (log 2) 6.570 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 6.570 * [taylor]: Taking taylor expansion of (* x y) in x 6.570 * [taylor]: Taking taylor expansion of x in x 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 1 into 1 6.570 * [taylor]: Taking taylor expansion of y in x 6.570 * [backup-simplify]: Simplify y into y 6.570 * [backup-simplify]: Simplify (* 0 y) into 0 6.570 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 6.570 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.571 * [backup-simplify]: Simplify (* -1 1/8) into -1/8 6.571 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 6.571 * [backup-simplify]: Simplify (* -1 -1/8) into 1/8 6.572 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.572 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.572 * [taylor]: Taking taylor expansion of 1/8 in y 6.572 * [backup-simplify]: Simplify 1/8 into 1/8 6.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.574 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1/8)) into 0 6.574 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.575 * [backup-simplify]: Simplify (+ (* -1 1/2) (* 0 -1/8)) into -1/2 6.576 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.576 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.576 * [backup-simplify]: Simplify (+ -1/2 (- (/ 1 y))) into (- (+ 1/2 (/ 1 y))) 6.576 * [taylor]: Taking taylor expansion of (- (+ 1/2 (/ 1 y))) in y 6.576 * [taylor]: Taking taylor expansion of (+ 1/2 (/ 1 y)) in y 6.576 * [taylor]: Taking taylor expansion of 1/2 in y 6.576 * [backup-simplify]: Simplify 1/2 into 1/2 6.576 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.576 * [taylor]: Taking taylor expansion of y in y 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [backup-simplify]: Simplify (/ 1 1) into 1 6.577 * [backup-simplify]: Simplify (+ 0 1) into 1 6.577 * [backup-simplify]: Simplify (- 1) into -1 6.577 * [backup-simplify]: Simplify -1 into -1 6.577 * [backup-simplify]: Simplify 1/8 into 1/8 6.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.579 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) into 0 6.579 * [backup-simplify]: Simplify (+ 0 0) into 0 6.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.581 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/8))) into 0 6.582 * [backup-simplify]: Simplify (+ 0 (log 2)) into (log 2) 6.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 6.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.583 * [backup-simplify]: Simplify (- 0) into 0 6.584 * [backup-simplify]: Simplify (+ (log 2) 0) into (log 2) 6.584 * [taylor]: Taking taylor expansion of (log 2) in y 6.584 * [taylor]: Taking taylor expansion of 2 in y 6.584 * [backup-simplify]: Simplify 2 into 2 6.584 * [backup-simplify]: Simplify (log 2) into (log 2) 6.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.585 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.585 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.585 * [backup-simplify]: Simplify -1/2 into -1/2 6.586 * [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)) 6.586 * * * [progress]: simplifying candidates 6.586 * * * * [progress]: [ 1 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.586 * * * * [progress]: [ 2 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.586 * * * * [progress]: [ 3 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) 1) (* y x)))> 6.586 * * * * [progress]: [ 4 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.586 * * * * [progress]: [ 5 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.586 * * * * [progress]: [ 6 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.586 * * * * [progress]: [ 7 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.586 * * * * [progress]: [ 8 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (sqrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.586 * * * * [progress]: [ 9 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (* y x)))> 6.587 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 6.587 * * * * [progress]: [ 11 / 52 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.587 * * * * [progress]: [ 12 / 52 ] simplifiying candidate #real (real->posit16 (log1p (expm1 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.587 * * * * [progress]: [ 13 / 52 ] simplifiying candidate #real (real->posit16 (expm1 (log1p (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.587 * * * * [progress]: [ 14 / 52 ] simplifiying candidate #real (real->posit16 (+ (* x (fma x 1/8 1/2)) (log 2)))) (* y x)))> 6.587 * * * * [progress]: [ 15 / 52 ] simplifiying candidate #real (real->posit16 (pow (fma x (fma x 1/8 1/2) (log 2)) 1))) (* y x)))> 6.587 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #real (real->posit16 (exp (log (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.587 * * * * [progress]: [ 17 / 52 ] simplifiying candidate #real (real->posit16 (log (exp (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.587 * * * * [progress]: [ 18 / 52 ] simplifiying candidate #real (real->posit16 (* (* (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)))))) (* y x)))> 6.587 * * * * [progress]: [ 19 / 52 ] simplifiying candidate #real (real->posit16 (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)))))) (* y x)))> 6.587 * * * * [progress]: [ 20 / 52 ] simplifiying candidate #real (real->posit16 (* (sqrt (fma x (fma x 1/8 1/2) (log 2))) (sqrt (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.587 * * * * [progress]: [ 21 / 52 ] simplifiying candidate #real (real->posit16 (* 1 (fma x (fma x 1/8 1/2) (log 2))))) (* y x)))> 6.587 * * * * [progress]: [ 22 / 52 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> 6.587 * * * * [progress]: [ 23 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (- (* x y))) (fma (- x) y (* x y))))> 6.587 * * * * [progress]: [ 24 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (sqrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (- (* x y))) (fma (- x) y (* x y))))> 6.587 * * * * [progress]: [ 25 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (- (* x y))) (fma (- x) y (* x y))))> 6.587 * * * * [progress]: [ 26 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))))> 6.587 * * * * [progress]: [ 27 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))))> 6.588 * * * * [progress]: [ 28 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (- (* y x))))> 6.588 * * * * [progress]: [ 29 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (sqrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (- (* y x))))> 6.588 * * * * [progress]: [ 30 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (- (* y x))))> 6.588 * * * * [progress]: [ 31 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (exp (* y x)))))> 6.588 * * * * [progress]: [ 32 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)) 1))> 6.588 * * * * [progress]: [ 33 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))))> 6.588 * * * * [progress]: [ 34 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))))> 6.588 * * * * [progress]: [ 35 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (cbrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))) (cbrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))))> 6.588 * * * * [progress]: [ 36 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)) (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))))> 6.588 * * * * [progress]: [ 37 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (sqrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))))> 6.588 * * * * [progress]: [ 38 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) 3) (pow (* y x) 3)) (+ (* (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (+ (* (* y x) (* y x)) (* (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))))))> 6.588 * * * * [progress]: [ 39 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (- (* y x))))> 6.588 * * * * [progress]: [ 40 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))))> 6.588 * * * * [progress]: [ 41 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (* (* y x) (* y x))) (+ (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))))> 6.588 * * * * [progress]: [ 42 / 52 ] simplifiying candidate #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (- (* y x))))> 6.588 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #real (real->posit16 (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))))> 6.588 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 6.588 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 6.588 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 6.588 * * * * [progress]: [ 47 / 52 ] simplifiying candidate #real (real->posit16 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))) (* y x)))> 6.588 * * * * [progress]: [ 48 / 52 ] simplifiying candidate #real (real->posit16 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))) (* y x)))> 6.588 * * * * [progress]: [ 49 / 52 ] simplifiying candidate #real (real->posit16 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))))) (* y x)))> 6.588 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 6.588 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 6.588 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 6.589 * [simplify]: Simplifying: (expm1 (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (log1p (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (log (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (exp (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (* (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (* (* (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (sqrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (sqrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (real->posit16 (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (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))) (fma (* (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (cbrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (- (* x y))) (fma (- x) y (* x y)) (fma (sqrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (sqrt (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (- (* x y))) (fma (- x) y (* x y)) (fma 1 (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (- (* x y))) (fma (- x) y (* x y)) (expm1 (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (log1p (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (- (* y x)) (- (* y x)) (- (* y x)) (/ (exp (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (exp (* y x))) (log (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (exp (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (* (cbrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (cbrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))) (cbrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (* (* (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)) (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (sqrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (sqrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (- (pow (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) 3) (pow (* y x) 3)) (+ (* (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (+ (* (* y x) (* y x)) (* (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))) (- (* y x)) (- (* (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))) (* (* y x) (* y x))) (+ (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)) (- (* y x)) (real->posit16 (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))) (+ (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)))) (+ (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)))) (+ (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)) 6.590 * * [simplify]: iteration 0: 69 enodes 6.609 * * [simplify]: iteration 1: 143 enodes 6.663 * * [simplify]: iteration 2: 398 enodes 6.893 * * [simplify]: iteration 3: 1828 enodes 7.353 * * [simplify]: iteration 4: 2002 enodes 7.852 * * [simplify]: iteration complete: 2002 enodes 7.852 * * [simplify]: Extracting #0: cost 29 inf + 0 7.858 * * [simplify]: Extracting #1: cost 224 inf + 0 7.863 * * [simplify]: Extracting #2: cost 528 inf + 2589 7.876 * * [simplify]: Extracting #3: cost 382 inf + 28536 7.907 * * [simplify]: Extracting #4: cost 145 inf + 93011 7.950 * * [simplify]: Extracting #5: cost 9 inf + 138044 7.996 * * [simplify]: Extracting #6: cost 0 inf + 141272 8.040 * [simplify]: Simplified to: (expm1 (fma (fma x 1/8 1/2) x (log 2))) (log1p (fma (fma x 1/8 1/2) x (log 2))) (log (fma (fma x 1/8 1/2) x (log 2))) (* (exp (* (fma x 1/8 1/2) x)) 2) (* (cbrt (fma (fma x 1/8 1/2) x (log 2))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) (cbrt (fma (fma x 1/8 1/2) x (log 2))) (* (* (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2))) (fma (fma x 1/8 1/2) x (log 2))) (sqrt (fma (fma x 1/8 1/2) x (log 2))) (sqrt (fma (fma x 1/8 1/2) x (log 2))) (real->posit16 (fma (fma x 1/8 1/2) x (log 2))) (expm1 (fma (fma x 1/8 1/2) x (log 2))) (log1p (fma (fma x 1/8 1/2) x (log 2))) (* (fma x 1/8 1/2) x) (log (fma (fma x 1/8 1/2) x (log 2))) (* (exp (* (fma x 1/8 1/2) x)) 2) (* (cbrt (fma (fma x 1/8 1/2) x (log 2))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) (cbrt (fma (fma x 1/8 1/2) x (log 2))) (* (* (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2))) (fma (fma x 1/8 1/2) x (log 2))) (sqrt (fma (fma x 1/8 1/2) x (log 2))) (sqrt (fma (fma x 1/8 1/2) x (log 2))) (real->posit16 (fma (fma x 1/8 1/2) x (log 2))) (- (* (* (cbrt (fma (fma x 1/8 1/2) x (log 2))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) (* y x)) (+ (* y x) (- (* y x))) (fma (fma x 1/8 1/2) x (- (log 2) (* y x))) (+ (* y x) (- (* y x))) (fma (fma x 1/8 1/2) x (- (log 2) (* y x))) (+ (* y x) (- (* y x))) (expm1 (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (log1p (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (- (* y x)) (- (* y x)) (- (* y x)) (exp (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (log (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (exp (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (* (cbrt (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (cbrt (fma (fma x 1/8 1/2) x (- (log 2) (* y x))))) (cbrt (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (* (fma (fma x 1/8 1/2) x (- (log 2) (* y x))) (* (fma (fma x 1/8 1/2) x (- (log 2) (* y x))) (fma (fma x 1/8 1/2) x (- (log 2) (* y x))))) (sqrt (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (sqrt (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (- (* (* (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2))) (fma (fma x 1/8 1/2) x (log 2))) (* (* y x) (* (* y x) (* y x)))) (fma (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2)) (* (* y x) (+ (* y x) (fma (fma x 1/8 1/2) x (log 2))))) (- (* y x)) (- (* (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2))) (* (* y x) (* y x))) (fma y x (fma (fma x 1/8 1/2) x (log 2))) (- (* y x)) (real->posit16 (fma (fma x 1/8 1/2) x (- (log 2) (* y x)))) (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2)) (fma (fma x 1/8 1/2) x (log 2)) (* x (- (fma x 1/8 1/2) y)) (* x (- (fma x 1/8 1/2) y)) 8.045 * * * [progress]: adding candidates to table 8.527 * [progress]: [Phase 3 of 3] Extracting. 8.527 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> #) 8.527 * * * [regime-changes]: Trying 2 branch expressions: (y x) 8.527 * * * * [regimes]: Trying to branch on y from (# #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> #) 8.571 * * * * [regimes]: Trying to branch on x from (# #real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))))) (* y x)))> #) 8.618 * * * [regime]: Found split indices: #