34.387 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.125 * * * [progress]: [2/2] Setting up program. 0.129 * [progress]: [Phase 2 of 3] Improving. 0.129 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.129 * [simplify]: Simplifying: (log (+ 1 x)) 0.129 * * [simplify]: iteration 0: 4 enodes 0.130 * * [simplify]: iteration 1: 8 enodes 0.132 * * [simplify]: iteration complete: 8 enodes 0.132 * * [simplify]: Extracting #0: cost 1 inf + 0 0.132 * * [simplify]: Extracting #1: cost 3 inf + 0 0.132 * * [simplify]: Extracting #2: cost 2 inf + 92 0.132 * * [simplify]: Extracting #3: cost 1 inf + 93 0.132 * * [simplify]: Extracting #4: cost 0 inf + 135 0.132 * [simplify]: Simplified to: (log1p x) 0.140 * * [progress]: iteration 1 / 4 0.140 * * * [progress]: picking best candidate 0.148 * * * * [pick]: Picked # 0.148 * * * [progress]: localizing error 0.155 * * * [progress]: generating rewritten candidates 0.155 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.156 * * * [progress]: generating series expansions 0.156 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.156 * [backup-simplify]: Simplify (log1p x) into (log1p x) 0.156 * [approximate]: Taking taylor expansion of (log1p x) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (log1p x) in x 0.156 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.156 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of 1 in x 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.158 * [backup-simplify]: Simplify (log 1) into 0 0.158 * [taylor]: Taking taylor expansion of (log1p x) in x 0.158 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.158 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of 1 in x 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [backup-simplify]: Simplify (log 1) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ 0 1) into 1 0.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.166 * [backup-simplify]: Simplify -1/2 into -1/2 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.172 * [backup-simplify]: Simplify 1/3 into 1/3 0.172 * [backup-simplify]: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2))) 0.173 * [backup-simplify]: Simplify (log1p (/ 1 x)) into (log1p (/ 1 x)) 0.173 * [approximate]: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 0.173 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.173 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.173 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of 1 in x 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify (+ 0 1) into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.175 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.175 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of 1 in x 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify (+ 0 1) into 1 0.176 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.177 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.183 * [backup-simplify]: Simplify -1/2 into -1/2 0.184 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) 0.184 * [backup-simplify]: Simplify (log1p (/ 1 (- x))) into (log1p (/ -1 x)) 0.184 * [approximate]: Taking taylor expansion of (log1p (/ -1 x)) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.184 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.184 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.184 * [taylor]: Taking taylor expansion of 1 in x 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.184 * [taylor]: Taking taylor expansion of -1 in x 0.184 * [backup-simplify]: Simplify -1 into -1 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ -1 1) into -1 0.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.186 * [backup-simplify]: Simplify (log -1) into (log -1) 0.186 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.186 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.186 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.186 * [taylor]: Taking taylor expansion of 1 in x 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ -1 1) into -1 0.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.187 * [backup-simplify]: Simplify (log -1) into (log -1) 0.188 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.188 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.191 * [backup-simplify]: Simplify -1 into -1 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.195 * [backup-simplify]: Simplify -1/2 into -1/2 0.196 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) 0.196 * * * [progress]: simplifying candidates 0.196 * * * * [progress]: [ 1 / 15 ] simplifiying candidate # 0.196 * * * * [progress]: [ 2 / 15 ] simplifiying candidate # 0.196 * * * * [progress]: [ 3 / 15 ] simplifiying candidate # 0.196 * * * * [progress]: [ 4 / 15 ] simplifiying candidate # 0.196 * * * * [progress]: [ 5 / 15 ] simplifiying candidate # 0.196 * * * * [progress]: [ 6 / 15 ] simplifiying candidate # 0.196 * * * * [progress]: [ 7 / 15 ] simplifiying candidate # 0.196 * * * * [progress]: [ 8 / 15 ] simplifiying candidate # 0.197 * * * * [progress]: [ 9 / 15 ] simplifiying candidate # 0.197 * * * * [progress]: [ 10 / 15 ] simplifiying candidate # 0.197 * * * * [progress]: [ 11 / 15 ] simplifiying candidate # 0.197 * * * * [progress]: [ 12 / 15 ] simplifiying candidate #real (real->posit16 (log1p x))))> 0.197 * * * * [progress]: [ 13 / 15 ] simplifiying candidate # 0.197 * * * * [progress]: [ 14 / 15 ] simplifiying candidate # 0.197 * * * * [progress]: [ 15 / 15 ] simplifiying candidate # 0.197 * [simplify]: Simplifying: (+ 1 x) (expm1 (log1p x)) (log1p (log1p x)) (log (log1p x)) (exp (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))) (cbrt (log1p x)) (* (* (log1p x) (log1p x)) (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (real->posit16 (log1p x)) (- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2))) (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) 0.198 * * [simplify]: iteration 0: 37 enodes 0.211 * * [simplify]: iteration 1: 85 enodes 0.249 * * [simplify]: iteration 2: 249 enodes 0.410 * * [simplify]: iteration 3: 698 enodes 1.016 * * [simplify]: iteration 4: 2135 enodes 2.987 * * [simplify]: iteration 5: 4980 enodes 3.788 * * [simplify]: iteration complete: 5000 enodes 3.789 * * [simplify]: Extracting #0: cost 12 inf + 0 3.789 * * [simplify]: Extracting #1: cost 192 inf + 1 3.807 * * [simplify]: Extracting #2: cost 665 inf + 6565 3.838 * * [simplify]: Extracting #3: cost 309 inf + 83785 3.878 * * [simplify]: Extracting #4: cost 42 inf + 154864 3.942 * * [simplify]: Extracting #5: cost 0 inf + 173857 3.994 * * [simplify]: Extracting #6: cost 0 inf + 172973 4.048 * [simplify]: Simplified to: (+ 1 x) x (log1p (log1p x)) (log (log1p x)) (exp (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))) (cbrt (log1p x)) (* (* (log1p x) (log1p x)) (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (real->posit16 (log1p x)) (fma (* x x) (fma x 1/3 -1/2) x) (fma (+ (/ -1/2 x) 1) (/ 1 x) (log x)) (fma (+ (/ -1/2 x) 1) (/ 1 x) (log x)) 4.049 * * * [progress]: adding candidates to table 4.085 * * [progress]: iteration 2 / 4 4.086 * * * [progress]: picking best candidate 4.090 * * * * [pick]: Picked # 4.090 * * * [progress]: localizing error 4.110 * * * [progress]: generating rewritten candidates 4.110 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.134 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.136 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.139 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.141 * * * [progress]: generating series expansions 4.141 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.142 * [backup-simplify]: Simplify (* (sqrt (log1p x)) (sqrt (log1p x))) into (log1p x) 4.142 * [approximate]: Taking taylor expansion of (log1p x) in (x) around 0 4.142 * [taylor]: Taking taylor expansion of (log1p x) in x 4.142 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.142 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.142 * [taylor]: Taking taylor expansion of 1 in x 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [taylor]: Taking taylor expansion of x in x 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (+ 1 0) into 1 4.143 * [backup-simplify]: Simplify (log 1) into 0 4.143 * [taylor]: Taking taylor expansion of (log1p x) in x 4.144 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.144 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.144 * [taylor]: Taking taylor expansion of 1 in x 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [taylor]: Taking taylor expansion of x in x 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (+ 1 0) into 1 4.145 * [backup-simplify]: Simplify (log 1) into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (+ 0 1) into 1 4.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.150 * [backup-simplify]: Simplify -1/2 into -1/2 4.151 * [backup-simplify]: Simplify (+ 0 0) into 0 4.156 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 4.157 * [backup-simplify]: Simplify 1/3 into 1/3 4.157 * [backup-simplify]: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2))) 4.157 * [backup-simplify]: Simplify (* (sqrt (log1p (/ 1 x))) (sqrt (log1p (/ 1 x)))) into (log1p (/ 1 x)) 4.157 * [approximate]: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 4.157 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.157 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.157 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.157 * [taylor]: Taking taylor expansion of 1 in x 4.157 * [backup-simplify]: Simplify 1 into 1 4.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.157 * [taylor]: Taking taylor expansion of x in x 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify (/ 1 1) into 1 4.158 * [backup-simplify]: Simplify (+ 0 1) into 1 4.159 * [backup-simplify]: Simplify (log 1) into 0 4.159 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.159 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.159 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.159 * [taylor]: Taking taylor expansion of 1 in x 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.159 * [taylor]: Taking taylor expansion of x in x 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.160 * [backup-simplify]: Simplify (/ 1 1) into 1 4.160 * [backup-simplify]: Simplify (+ 0 1) into 1 4.160 * [backup-simplify]: Simplify (log 1) into 0 4.161 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.161 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (+ 1 0) into 1 4.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.164 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ 0 0) into 0 4.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.168 * [backup-simplify]: Simplify -1/2 into -1/2 4.168 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) 4.168 * [backup-simplify]: Simplify (* (sqrt (log1p (/ 1 (- x)))) (sqrt (log1p (/ 1 (- x))))) into (log1p (/ -1 x)) 4.168 * [approximate]: Taking taylor expansion of (log1p (/ -1 x)) in (x) around 0 4.168 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.168 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.168 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.168 * [taylor]: Taking taylor expansion of 1 in x 4.168 * [backup-simplify]: Simplify 1 into 1 4.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.169 * [taylor]: Taking taylor expansion of -1 in x 4.169 * [backup-simplify]: Simplify -1 into -1 4.169 * [taylor]: Taking taylor expansion of x in x 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (/ -1 1) into -1 4.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.170 * [backup-simplify]: Simplify (log -1) into (log -1) 4.170 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.170 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.170 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.170 * [taylor]: Taking taylor expansion of 1 in x 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.170 * [taylor]: Taking taylor expansion of -1 in x 4.170 * [backup-simplify]: Simplify -1 into -1 4.170 * [taylor]: Taking taylor expansion of x in x 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (/ -1 1) into -1 4.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.171 * [backup-simplify]: Simplify (log -1) into (log -1) 4.172 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.173 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 4.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify (+ 1 0) into 1 4.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.175 * [backup-simplify]: Simplify -1 into -1 4.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ 0 0) into 0 4.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.179 * [backup-simplify]: Simplify -1/2 into -1/2 4.180 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) 4.180 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.180 * [backup-simplify]: Simplify (sqrt (log1p x)) into (sqrt (log1p x)) 4.180 * [approximate]: Taking taylor expansion of (sqrt (log1p x)) in (x) around 0 4.180 * [taylor]: Taking taylor expansion of (sqrt (log1p x)) in x 4.180 * [taylor]: Taking taylor expansion of (log1p x) in x 4.180 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.181 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.181 * [taylor]: Taking taylor expansion of 1 in x 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [taylor]: Taking taylor expansion of x in x 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (+ 1 0) into 1 4.181 * [backup-simplify]: Simplify (log 1) into 0 4.182 * [backup-simplify]: Simplify (+ 0 1) into 1 4.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.184 * [backup-simplify]: Simplify (sqrt 0) into 0 4.185 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.185 * [taylor]: Taking taylor expansion of (sqrt (log1p x)) in x 4.185 * [taylor]: Taking taylor expansion of (log1p x) in x 4.185 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.186 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.186 * [taylor]: Taking taylor expansion of 1 in x 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [taylor]: Taking taylor expansion of x in x 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (+ 1 0) into 1 4.186 * [backup-simplify]: Simplify (log 1) into 0 4.187 * [backup-simplify]: Simplify (+ 0 1) into 1 4.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.188 * [backup-simplify]: Simplify (sqrt 0) into 0 4.189 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.190 * [backup-simplify]: Simplify (+ 0 0) into 0 4.193 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.197 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.197 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.197 * [backup-simplify]: Simplify (+ 0 0) into 0 4.203 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 4.207 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.207 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.208 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 4.208 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 x))) into (sqrt (log1p (/ 1 x))) 4.208 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in (x) around 0 4.208 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in x 4.208 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.208 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.208 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.208 * [taylor]: Taking taylor expansion of 1 in x 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.208 * [taylor]: Taking taylor expansion of x in x 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ 1 1) into 1 4.209 * [backup-simplify]: Simplify (+ 0 1) into 1 4.209 * [backup-simplify]: Simplify (log 1) into 0 4.210 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.210 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.210 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ 1 0) into 1 4.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.213 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.213 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log x))))) into (/ 1/2 (sqrt (- (log x)))) 4.213 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in x 4.213 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.213 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.213 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.213 * [taylor]: Taking taylor expansion of 1 in x 4.213 * [backup-simplify]: Simplify 1 into 1 4.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.213 * [taylor]: Taking taylor expansion of x in x 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (/ 1 1) into 1 4.214 * [backup-simplify]: Simplify (+ 0 1) into 1 4.215 * [backup-simplify]: Simplify (log 1) into 0 4.215 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.216 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.216 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (+ 1 0) into 1 4.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.219 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log x))))) into (/ 1/2 (sqrt (- (log x)))) 4.219 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.219 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log x)))) into (/ 1/2 (sqrt (- (log x)))) 4.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.220 * [backup-simplify]: Simplify (+ 0 0) into 0 4.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.224 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log x)))) 2) (+)) (* 2 (sqrt (- (log x))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log x))) 2))) 1/2) (sqrt (- (log x))))) 4.224 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log x))) 2))) 1/2) (sqrt (- (log x))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log x))) 2))) 1/2) (sqrt (- (log x))))) 4.225 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log (/ 1 x)))) 2))) 1/2) (sqrt (- (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (/ 1/2 (sqrt (- (log (/ 1 x))))) (/ 1 x)) (sqrt (- (log (/ 1 x)))))) into (- (+ (* 1/2 (/ 1 (* x (sqrt (- (log (/ 1 x))))))) (sqrt (- (log (/ 1 x))))) (+ (* 1/4 (/ 1 (* (pow x 2) (sqrt (- (log (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (- (log (/ 1 x)))) 3)))))) 4.225 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- x)))) into (sqrt (log1p (/ -1 x))) 4.225 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in (x) around 0 4.225 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in x 4.226 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.226 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.226 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.226 * [taylor]: Taking taylor expansion of 1 in x 4.226 * [backup-simplify]: Simplify 1 into 1 4.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.226 * [taylor]: Taking taylor expansion of -1 in x 4.226 * [backup-simplify]: Simplify -1 into -1 4.226 * [taylor]: Taking taylor expansion of x in x 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 1 into 1 4.226 * [backup-simplify]: Simplify (/ -1 1) into -1 4.227 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.227 * [backup-simplify]: Simplify (log -1) into (log -1) 4.228 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.229 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.229 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.231 * [backup-simplify]: Simplify (+ 1 0) into 1 4.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.233 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.233 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.234 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in x 4.234 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.234 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.234 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.234 * [taylor]: Taking taylor expansion of 1 in x 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.234 * [taylor]: Taking taylor expansion of -1 in x 4.234 * [backup-simplify]: Simplify -1 into -1 4.234 * [taylor]: Taking taylor expansion of x in x 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify (/ -1 1) into -1 4.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.235 * [backup-simplify]: Simplify (log -1) into (log -1) 4.236 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.237 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.237 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (+ 1 0) into 1 4.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.241 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.241 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.242 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.242 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (+ 0 0) into 0 4.246 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.248 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 2) (+)) (* 2 (sqrt (- (log -1) (log x))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log x)))) 1/2) (sqrt (/ 1 (- (log -1) (log x)))))) 4.249 * [backup-simplify]: Simplify (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log x)))) 1/2) (sqrt (/ 1 (- (log -1) (log x)))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log x)))) 1/2) (sqrt (/ 1 (- (log -1) (log x)))))) 4.252 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log (/ 1 (- x)))))) 1/2) (sqrt (/ 1 (- (log -1) (log (/ 1 (- x)))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (sqrt (- (log -1) (log (/ 1 (- x))))))) into (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))) (sqrt (- (log -1) (log (/ -1 x))))) (+ (* 1/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 3))))) (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))))) 4.252 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.252 * [backup-simplify]: Simplify (sqrt (log1p x)) into (sqrt (log1p x)) 4.252 * [approximate]: Taking taylor expansion of (sqrt (log1p x)) in (x) around 0 4.252 * [taylor]: Taking taylor expansion of (sqrt (log1p x)) in x 4.252 * [taylor]: Taking taylor expansion of (log1p x) in x 4.252 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.252 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.252 * [taylor]: Taking taylor expansion of 1 in x 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [taylor]: Taking taylor expansion of x in x 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (+ 1 0) into 1 4.254 * [backup-simplify]: Simplify (log 1) into 0 4.254 * [backup-simplify]: Simplify (+ 0 1) into 1 4.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.256 * [backup-simplify]: Simplify (sqrt 0) into 0 4.258 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.258 * [taylor]: Taking taylor expansion of (sqrt (log1p x)) in x 4.258 * [taylor]: Taking taylor expansion of (log1p x) in x 4.258 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.258 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.258 * [taylor]: Taking taylor expansion of 1 in x 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [taylor]: Taking taylor expansion of x in x 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (+ 1 0) into 1 4.259 * [backup-simplify]: Simplify (log 1) into 0 4.259 * [backup-simplify]: Simplify (+ 0 1) into 1 4.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.261 * [backup-simplify]: Simplify (sqrt 0) into 0 4.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.263 * [backup-simplify]: Simplify (+ 0 0) into 0 4.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.270 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.270 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.270 * [backup-simplify]: Simplify (+ 0 0) into 0 4.275 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 4.281 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.282 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.282 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) 4.282 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 x))) into (sqrt (log1p (/ 1 x))) 4.282 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in (x) around 0 4.282 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in x 4.282 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.282 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.282 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.282 * [taylor]: Taking taylor expansion of 1 in x 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.282 * [taylor]: Taking taylor expansion of x in x 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [backup-simplify]: Simplify (/ 1 1) into 1 4.283 * [backup-simplify]: Simplify (+ 0 1) into 1 4.283 * [backup-simplify]: Simplify (log 1) into 0 4.283 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.284 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.284 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.284 * [backup-simplify]: Simplify (+ 1 0) into 1 4.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.285 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.285 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log x))))) into (/ 1/2 (sqrt (- (log x)))) 4.285 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in x 4.285 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.285 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.286 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.286 * [taylor]: Taking taylor expansion of 1 in x 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.286 * [taylor]: Taking taylor expansion of x in x 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify (/ 1 1) into 1 4.286 * [backup-simplify]: Simplify (+ 0 1) into 1 4.286 * [backup-simplify]: Simplify (log 1) into 0 4.287 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.287 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.287 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.288 * [backup-simplify]: Simplify (+ 1 0) into 1 4.288 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.289 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.289 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log x))))) into (/ 1/2 (sqrt (- (log x)))) 4.289 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.289 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log x)))) into (/ 1/2 (sqrt (- (log x)))) 4.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (+ 0 0) into 0 4.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.292 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log x)))) 2) (+)) (* 2 (sqrt (- (log x))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log x))) 2))) 1/2) (sqrt (- (log x))))) 4.292 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log x))) 2))) 1/2) (sqrt (- (log x))))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log x))) 2))) 1/2) (sqrt (- (log x))))) 4.292 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sqrt (- (log (/ 1 x)))) 2))) 1/2) (sqrt (- (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (/ 1/2 (sqrt (- (log (/ 1 x))))) (/ 1 x)) (sqrt (- (log (/ 1 x)))))) into (- (+ (* 1/2 (/ 1 (* x (sqrt (- (log (/ 1 x))))))) (sqrt (- (log (/ 1 x))))) (+ (* 1/4 (/ 1 (* (pow x 2) (sqrt (- (log (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (- (log (/ 1 x)))) 3)))))) 4.292 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- x)))) into (sqrt (log1p (/ -1 x))) 4.292 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in (x) around 0 4.292 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in x 4.292 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.292 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.293 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.293 * [taylor]: Taking taylor expansion of 1 in x 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.293 * [taylor]: Taking taylor expansion of -1 in x 4.293 * [backup-simplify]: Simplify -1 into -1 4.293 * [taylor]: Taking taylor expansion of x in x 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (/ -1 1) into -1 4.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.293 * [backup-simplify]: Simplify (log -1) into (log -1) 4.294 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.294 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.295 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.296 * [backup-simplify]: Simplify (+ 1 0) into 1 4.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.297 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.297 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.297 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in x 4.297 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.297 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.297 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.297 * [taylor]: Taking taylor expansion of 1 in x 4.297 * [backup-simplify]: Simplify 1 into 1 4.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.297 * [taylor]: Taking taylor expansion of -1 in x 4.297 * [backup-simplify]: Simplify -1 into -1 4.297 * [taylor]: Taking taylor expansion of x in x 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 1 into 1 4.298 * [backup-simplify]: Simplify (/ -1 1) into -1 4.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.298 * [backup-simplify]: Simplify (log -1) into (log -1) 4.299 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.299 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.299 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ 1 0) into 1 4.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.301 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.302 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.302 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.302 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.308 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 2) (+)) (* 2 (sqrt (- (log -1) (log x))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log x)))) 1/2) (sqrt (/ 1 (- (log -1) (log x)))))) 4.309 * [backup-simplify]: Simplify (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log x)))) 1/2) (sqrt (/ 1 (- (log -1) (log x)))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log x)))) 1/2) (sqrt (/ 1 (- (log -1) (log x)))))) 4.312 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log (/ 1 (- x)))))) 1/2) (sqrt (/ 1 (- (log -1) (log (/ 1 (- x)))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (sqrt (- (log -1) (log (/ 1 (- x))))))) into (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))) (sqrt (- (log -1) (log (/ -1 x))))) (+ (* 1/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 3))))) (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))))) 4.312 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.312 * [backup-simplify]: Simplify (log1p x) into (log1p x) 4.312 * [approximate]: Taking taylor expansion of (log1p x) in (x) around 0 4.312 * [taylor]: Taking taylor expansion of (log1p x) in x 4.312 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.312 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.312 * [taylor]: Taking taylor expansion of 1 in x 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [taylor]: Taking taylor expansion of x in x 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (+ 1 0) into 1 4.313 * [backup-simplify]: Simplify (log 1) into 0 4.313 * [taylor]: Taking taylor expansion of (log1p x) in x 4.313 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.313 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.313 * [taylor]: Taking taylor expansion of 1 in x 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (+ 1 0) into 1 4.314 * [backup-simplify]: Simplify (log 1) into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify (+ 0 1) into 1 4.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.316 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (+ 0 0) into 0 4.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.319 * [backup-simplify]: Simplify -1/2 into -1/2 4.319 * [backup-simplify]: Simplify (+ 0 0) into 0 4.325 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 4.325 * [backup-simplify]: Simplify 1/3 into 1/3 4.325 * [backup-simplify]: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2))) 4.325 * [backup-simplify]: Simplify (log1p (/ 1 x)) into (log1p (/ 1 x)) 4.325 * [approximate]: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 4.325 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.325 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.325 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.325 * [taylor]: Taking taylor expansion of 1 in x 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.325 * [taylor]: Taking taylor expansion of x in x 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.326 * [backup-simplify]: Simplify (/ 1 1) into 1 4.326 * [backup-simplify]: Simplify (+ 0 1) into 1 4.327 * [backup-simplify]: Simplify (log 1) into 0 4.327 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.327 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.327 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.327 * [taylor]: Taking taylor expansion of 1 in x 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.327 * [taylor]: Taking taylor expansion of x in x 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [backup-simplify]: Simplify (+ 0 1) into 1 4.328 * [backup-simplify]: Simplify (log 1) into 0 4.329 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.329 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (+ 1 0) into 1 4.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.331 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (+ 0 0) into 0 4.335 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.335 * [backup-simplify]: Simplify -1/2 into -1/2 4.336 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) 4.336 * [backup-simplify]: Simplify (log1p (/ 1 (- x))) into (log1p (/ -1 x)) 4.336 * [approximate]: Taking taylor expansion of (log1p (/ -1 x)) in (x) around 0 4.336 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.336 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.336 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.336 * [taylor]: Taking taylor expansion of 1 in x 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.336 * [taylor]: Taking taylor expansion of -1 in x 4.336 * [backup-simplify]: Simplify -1 into -1 4.336 * [taylor]: Taking taylor expansion of x in x 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (/ -1 1) into -1 4.337 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.338 * [backup-simplify]: Simplify (log -1) into (log -1) 4.338 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.338 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.338 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.338 * [taylor]: Taking taylor expansion of 1 in x 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.338 * [taylor]: Taking taylor expansion of -1 in x 4.338 * [backup-simplify]: Simplify -1 into -1 4.338 * [taylor]: Taking taylor expansion of x in x 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (/ -1 1) into -1 4.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.339 * [backup-simplify]: Simplify (log -1) into (log -1) 4.340 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.340 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 4.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ 1 0) into 1 4.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.342 * [backup-simplify]: Simplify -1 into -1 4.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (+ 0 0) into 0 4.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.344 * [backup-simplify]: Simplify -1/2 into -1/2 4.345 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) 4.345 * * * [progress]: simplifying candidates 4.345 * * * * [progress]: [ 1 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 2 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 3 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 4 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 5 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 6 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 7 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 8 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 9 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 10 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 11 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 12 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 13 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 14 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 15 / 108 ] simplifiying candidate # 4.345 * * * * [progress]: [ 16 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 17 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 18 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 19 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 20 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 21 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 22 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 23 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 24 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 25 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 26 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 27 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 28 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 29 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 30 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 31 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 32 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 33 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 34 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 35 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 36 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 37 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 38 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 39 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 40 / 108 ] simplifiying candidate # 4.346 * * * * [progress]: [ 41 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 42 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 43 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 44 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 45 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 46 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 47 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 48 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 49 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 50 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 51 / 108 ] simplifiying candidate #real (real->posit16 (* (sqrt (log1p x)) (sqrt (log1p x))))))> 4.347 * * * * [progress]: [ 52 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 53 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 54 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 55 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 56 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 57 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 58 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 59 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 60 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 61 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 62 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 63 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 64 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 65 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 66 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 67 / 108 ] simplifiying candidate # 4.347 * * * * [progress]: [ 68 / 108 ] simplifiying candidate #real (real->posit16 (sqrt (log1p x))))))> 4.348 * * * * [progress]: [ 69 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 70 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 71 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 72 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 73 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 74 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 75 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 76 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 77 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 78 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 79 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 80 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 81 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 82 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 83 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 84 / 108 ] simplifiying candidate #real (real->posit16 (sqrt (log1p x)))) (sqrt (log1p x))))> 4.348 * * * * [progress]: [ 85 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 86 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 87 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 88 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 89 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 90 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 91 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 92 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 93 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 94 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 95 / 108 ] simplifiying candidate # 4.348 * * * * [progress]: [ 96 / 108 ] simplifiying candidate #real (real->posit16 (log1p x))))))> 4.348 * * * * [progress]: [ 97 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 98 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 99 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 100 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 101 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 102 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 103 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 104 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 105 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 106 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 107 / 108 ] simplifiying candidate # 4.349 * * * * [progress]: [ 108 / 108 ] simplifiying candidate # 4.350 * [simplify]: Simplifying: (expm1 (* (sqrt (log1p x)) (sqrt (log1p x)))) (log1p (* (sqrt (log1p x)) (sqrt (log1p x)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (log1p x) (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x))) (* (log1p x) (log1p x)) (+ 1 1) (+ (log (sqrt (log1p x))) (log (sqrt (log1p x)))) (log (* (sqrt (log1p x)) (sqrt (log1p x)))) (exp (* (sqrt (log1p x)) (sqrt (log1p x)))) (* (* (* (sqrt (log1p x)) (sqrt (log1p x))) (sqrt (log1p x))) (* (* (sqrt (log1p x)) (sqrt (log1p x))) (sqrt (log1p x)))) (* (cbrt (* (sqrt (log1p x)) (sqrt (log1p x)))) (cbrt (* (sqrt (log1p x)) (sqrt (log1p x))))) (cbrt (* (sqrt (log1p x)) (sqrt (log1p x)))) (* (* (* (sqrt (log1p x)) (sqrt (log1p x))) (* (sqrt (log1p x)) (sqrt (log1p x)))) (* (sqrt (log1p x)) (sqrt (log1p x)))) (* (log1p x) (log1p x)) (sqrt (* (sqrt (log1p x)) (sqrt (log1p x)))) (sqrt (* (sqrt (log1p x)) (sqrt (log1p x)))) (* (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x)))) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x))))) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x)))) (* (sqrt (* (cbrt (log1p x)) (cbrt (log1p x)))) (sqrt (* (cbrt (log1p x)) (cbrt (log1p x))))) (* (sqrt (cbrt (log1p x))) (sqrt (cbrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log1p x)) (sqrt (log1p x))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* 1 1) (* (sqrt (log1p x)) (sqrt (log1p x))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (log1p x)) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x))))) (* (sqrt (log1p x)) (sqrt (* (cbrt (log1p x)) (cbrt (log1p x))))) (* (sqrt (log1p x)) (sqrt (sqrt (log1p x)))) (* (sqrt (log1p x)) (sqrt 1)) (* (sqrt (log1p x)) (sqrt (sqrt (log1p x)))) (* (sqrt (log1p x)) 1) (* (cbrt (sqrt (log1p x))) (sqrt (log1p x))) (* (sqrt (cbrt (log1p x))) (sqrt (log1p x))) (* (sqrt (sqrt (log1p x))) (sqrt (log1p x))) (* (sqrt (log1p x)) (sqrt (log1p x))) (* (sqrt (sqrt (log1p x))) (sqrt (log1p x))) (* (sqrt (log1p x)) (sqrt (log1p x))) (real->posit16 (* (sqrt (log1p x)) (sqrt (log1p x)))) (expm1 (sqrt (log1p x))) (log1p (sqrt (log1p x))) (log (sqrt (log1p x))) (exp (sqrt (log1p x))) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x)))) (cbrt (sqrt (log1p x))) (* (* (sqrt (log1p x)) (sqrt (log1p x))) (sqrt (log1p x))) (sqrt (* (cbrt (log1p x)) (cbrt (log1p x)))) (sqrt (cbrt (log1p x))) (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x))) (sqrt 1) (sqrt (log1p x)) (/ 1 2) (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x))) (real->posit16 (sqrt (log1p x))) (expm1 (sqrt (log1p x))) (log1p (sqrt (log1p x))) (log (sqrt (log1p x))) (exp (sqrt (log1p x))) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x)))) (cbrt (sqrt (log1p x))) (* (* (sqrt (log1p x)) (sqrt (log1p x))) (sqrt (log1p x))) (sqrt (* (cbrt (log1p x)) (cbrt (log1p x)))) (sqrt (cbrt (log1p x))) (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x))) (sqrt 1) (sqrt (log1p x)) (/ 1 2) (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x))) (real->posit16 (sqrt (log1p x))) (+ 1 x) (expm1 (log1p x)) (log1p (log1p x)) (log (log1p x)) (exp (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))) (cbrt (log1p x)) (* (* (log1p x) (log1p x)) (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (real->posit16 (log1p x)) (- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2))) (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- (+ (* 1/2 (/ 1 (* x (sqrt (- (log (/ 1 x))))))) (sqrt (- (log (/ 1 x))))) (+ (* 1/4 (/ 1 (* (pow x 2) (sqrt (- (log (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (- (log (/ 1 x)))) 3)))))) (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))) (sqrt (- (log -1) (log (/ -1 x))))) (+ (* 1/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 3))))) (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))))) (- (+ (* 1/2 (/ 1 (* x (sqrt (- (log (/ 1 x))))))) (sqrt (- (log (/ 1 x))))) (+ (* 1/4 (/ 1 (* (pow x 2) (sqrt (- (log (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (- (log (/ 1 x)))) 3)))))) (- (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))) (sqrt (- (log -1) (log (/ -1 x))))) (+ (* 1/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (log -1) (log (/ -1 x))) 3))))) (* 1/4 (* (/ 1 (pow x 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 x))))))))) (- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2))) (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) 4.351 * * [simplify]: iteration 0: 127 enodes 4.394 * * [simplify]: iteration 1: 308 enodes 4.494 * * [simplify]: iteration 2: 978 enodes 5.076 * * [simplify]: iteration 3: 3235 enodes 5.850 * * [simplify]: iteration complete: 5000 enodes 5.850 * * [simplify]: Extracting #0: cost 37 inf + 0 5.852 * * [simplify]: Extracting #1: cost 338 inf + 4 5.861 * * [simplify]: Extracting #2: cost 765 inf + 4706 5.879 * * [simplify]: Extracting #3: cost 456 inf + 56097 5.942 * * [simplify]: Extracting #4: cost 175 inf + 133895 6.048 * * [simplify]: Extracting #5: cost 45 inf + 188529 6.169 * * [simplify]: Extracting #6: cost 0 inf + 203694 6.258 * [simplify]: Simplified to: x (log1p (log1p x)) 1 1 2 1 1 (* (log1p x) (log1p x)) (log1p x) (* (log1p x) (log1p x)) 2 (log (log1p x)) (log (log1p x)) (exp (log1p x)) (* (* (log1p x) (log1p x)) (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))) (cbrt (log1p x)) (* (* (log1p x) (log1p x)) (log1p x)) (* (log1p x) (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (* (cbrt (sqrt (log1p x))) (sqrt (log1p x))) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x)))) (* (cbrt (log1p x)) (cbrt (log1p x))) (cbrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) 1 (log1p x) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) 1 (log1p x) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) (sqrt (log1p x)) 1 2 1 (* (cbrt (sqrt (log1p x))) (* (cbrt (sqrt (log1p x))) (sqrt (log1p x)))) (* (sqrt (log1p x)) (fabs (cbrt (log1p x)))) (* (sqrt (log1p x)) (sqrt (sqrt (log1p x)))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (sqrt (log1p x)))) (sqrt (log1p x)) (* (cbrt (sqrt (log1p x))) (sqrt (log1p x))) (* (sqrt (log1p x)) (sqrt (cbrt (log1p x)))) (* (sqrt (log1p x)) (sqrt (sqrt (log1p x)))) (log1p x) (* (sqrt (log1p x)) (sqrt (sqrt (log1p x)))) (log1p x) (real->posit16 (log1p x)) (expm1 (sqrt (log1p x))) (log1p (sqrt (log1p x))) (log (sqrt (log1p x))) (exp (sqrt (log1p x))) (* (cbrt (sqrt (log1p x))) (cbrt (sqrt (log1p x)))) (cbrt (sqrt (log1p x))) (* (log1p x) (sqrt (log1p x))) (fabs (cbrt (log1p x))) (sqrt (cbrt (log1p x))) (sqrt (sqrt (log1p x))) (sqrt (sqrt (log1p x))) 1 (sqrt 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x))) (+ (sqrt (log x)) (/ 1/2 (* (sqrt (log x)) x))))) (fma -1/8 (/ (sqrt (/ (/ (/ 1 (+ 0 (log x))) (+ 0 (log x))) (+ 0 (log x)))) (* x x)) (fma (/ (sqrt (/ 1 (+ 0 (log x)))) (* x x)) -1/4 (fma (sqrt (/ 1 (+ 0 (log x)))) (/ 1/2 x) (sqrt (+ 0 (log x)))))) (fma x (fma x (* x +nan.0) (- (* x +nan.0))) (- (* x +nan.0))) (+ (/ -1/4 (* (sqrt (log x)) (* x x))) (+ (/ -1/8 (* (* (sqrt (log x)) (* x x)) (log x))) (+ (sqrt (log x)) (/ 1/2 (* (sqrt (log x)) x))))) (fma -1/8 (/ (sqrt (/ (/ (/ 1 (+ 0 (log x))) (+ 0 (log x))) (+ 0 (log x)))) (* x x)) (fma (/ (sqrt (/ 1 (+ 0 (log x)))) (* x x)) -1/4 (fma (sqrt (/ 1 (+ 0 (log x)))) (/ 1/2 x) (sqrt (+ 0 (log x)))))) (fma -1/2 (* x x) (fma (* 1/3 x) (* x x) x)) (fma -1/2 (/ (/ 1 x) x) (+ (/ 1 x) (log x))) (fma -1/2 (/ (/ 1 x) x) (+ (/ 1 x) (+ 0 (log x)))) 6.265 * * * [progress]: adding candidates to table 6.577 * [progress]: [Phase 3 of 3] Extracting. 6.578 * * [regime]: Finding splitpoints for: (# #) 6.578 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.578 * * * * [regimes]: Trying to branch on x from (# #) 6.594 * * * [regime]: Found split indices: #