21.411 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.085 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.087 * [simplify]: Simplifying: (log (+ 1 x)) 0.087 * * [simplify]: iteration 0: 4 enodes 0.088 * * [simplify]: iteration 1: 8 enodes 0.089 * * [simplify]: iteration complete: 8 enodes 0.089 * * [simplify]: Extracting #0: cost 1 inf + 0 0.089 * * [simplify]: Extracting #1: cost 3 inf + 0 0.089 * * [simplify]: Extracting #2: cost 2 inf + 92 0.089 * * [simplify]: Extracting #3: cost 1 inf + 93 0.089 * * [simplify]: Extracting #4: cost 0 inf + 135 0.089 * [simplify]: Simplified to: (log1p x) 0.104 * * [progress]: iteration 1 / 4 0.104 * * * [progress]: picking best candidate 0.111 * * * * [pick]: Picked # 0.111 * * * [progress]: localizing error 0.118 * * * [progress]: generating rewritten candidates 0.118 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.119 * * * [progress]: generating series expansions 0.119 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.119 * [backup-simplify]: Simplify (log1p x) into (log1p x) 0.120 * [approximate]: Taking taylor expansion of (log1p x) in (x) around 0 0.120 * [taylor]: Taking taylor expansion of (log1p x) in x 0.120 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.120 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of 1 in x 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (log 1) into 0 0.121 * [taylor]: Taking taylor expansion of (log1p x) in x 0.121 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.121 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of 1 in x 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.127 * [backup-simplify]: Simplify -1/2 into -1/2 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [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 0.133 * [backup-simplify]: Simplify 1/3 into 1/3 0.133 * [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))) 0.133 * [backup-simplify]: Simplify (log1p (/ 1 x)) into (log1p (/ 1 x)) 0.134 * [approximate]: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.134 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.134 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of 1 in x 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (+ 0 1) into 1 0.135 * [backup-simplify]: Simplify (log 1) into 0 0.135 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.135 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.135 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of 1 in x 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.137 * [backup-simplify]: Simplify (log 1) into 0 0.137 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.137 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.141 * [backup-simplify]: Simplify -1/2 into -1/2 0.141 * [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))))) 0.141 * [backup-simplify]: Simplify (log1p (/ 1 (- x))) into (log1p (/ -1 x)) 0.141 * [approximate]: Taking taylor expansion of (log1p (/ -1 x)) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.141 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.141 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1 in x 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.142 * [taylor]: Taking taylor expansion of -1 in x 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ -1 1) into -1 0.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.142 * [backup-simplify]: Simplify (log -1) into (log -1) 0.143 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.143 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.143 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.143 * [taylor]: Taking taylor expansion of 1 in x 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1 1) into -1 0.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.144 * [backup-simplify]: Simplify (log -1) into (log -1) 0.144 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.144 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.146 * [backup-simplify]: Simplify -1 into -1 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.149 * [backup-simplify]: Simplify -1/2 into -1/2 0.149 * [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))))) 0.149 * * * [progress]: simplifying candidates 0.149 * * * * [progress]: [ 1 / 15 ] simplifiying candidate # 0.149 * * * * [progress]: [ 2 / 15 ] simplifiying candidate # 0.149 * * * * [progress]: [ 3 / 15 ] simplifiying candidate # 0.149 * * * * [progress]: [ 4 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 5 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 6 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 7 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 8 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 9 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 10 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 11 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 12 / 15 ] simplifiying candidate #real (real->posit16 (log1p x))))> 0.150 * * * * [progress]: [ 13 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 14 / 15 ] simplifiying candidate # 0.150 * * * * [progress]: [ 15 / 15 ] simplifiying candidate # 0.150 * [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))))) 0.150 * * [simplify]: iteration 0: 37 enodes 0.159 * * [simplify]: iteration 1: 85 enodes 0.192 * * [simplify]: iteration 2: 234 enodes 0.308 * * [simplify]: iteration 3: 644 enodes 0.782 * * [simplify]: iteration 4: 1862 enodes 2.836 * * [simplify]: iteration 5: 4689 enodes 3.815 * * [simplify]: iteration complete: 5000 enodes 3.816 * * [simplify]: Extracting #0: cost 12 inf + 0 3.816 * * [simplify]: Extracting #1: cost 172 inf + 1 3.823 * * [simplify]: Extracting #2: cost 672 inf + 2891 3.848 * * [simplify]: Extracting #3: cost 396 inf + 43932 3.903 * * [simplify]: Extracting #4: cost 46 inf + 124475 3.959 * * [simplify]: Extracting #5: cost 3 inf + 138866 3.993 * * [simplify]: Extracting #6: cost 0 inf + 138938 4.048 * [simplify]: Simplified to: (+ x 1) 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 x) (/ -1/2 x) (+ (log x) (/ 1 x))) (fma (/ 1 x) (/ -1/2 x) (+ (log x) (/ 1 x))) 4.049 * * * [progress]: adding candidates to table 4.084 * * [progress]: iteration 2 / 4 4.084 * * * [progress]: picking best candidate 4.086 * * * * [pick]: Picked # 4.086 * * * [progress]: localizing error 4.095 * * * [progress]: generating rewritten candidates 4.095 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.113 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.116 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.118 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.121 * * * [progress]: generating series expansions 4.121 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.121 * [backup-simplify]: Simplify (* (sqrt (log1p x)) (sqrt (log1p x))) into (log1p x) 4.121 * [approximate]: Taking taylor expansion of (log1p x) in (x) around 0 4.121 * [taylor]: Taking taylor expansion of (log1p x) in x 4.121 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.121 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.121 * [taylor]: Taking taylor expansion of 1 in x 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [taylor]: Taking taylor expansion of x in x 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (+ 1 0) into 1 4.122 * [backup-simplify]: Simplify (log 1) into 0 4.122 * [taylor]: Taking taylor expansion of (log1p x) in x 4.122 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.122 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.122 * [taylor]: Taking taylor expansion of 1 in x 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [taylor]: Taking taylor expansion of x in x 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (+ 1 0) into 1 4.123 * [backup-simplify]: Simplify (log 1) into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (+ 0 1) into 1 4.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.126 * [backup-simplify]: Simplify -1/2 into -1/2 4.126 * [backup-simplify]: Simplify (+ 0 0) into 0 4.129 * [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 4.129 * [backup-simplify]: Simplify 1/3 into 1/3 4.129 * [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))) 4.129 * [backup-simplify]: Simplify (* (sqrt (log1p (/ 1 x))) (sqrt (log1p (/ 1 x)))) into (log1p (/ 1 x)) 4.129 * [approximate]: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 4.129 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.129 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.129 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.129 * [taylor]: Taking taylor expansion of 1 in x 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.129 * [taylor]: Taking taylor expansion of x in x 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (/ 1 1) into 1 4.130 * [backup-simplify]: Simplify (+ 0 1) into 1 4.130 * [backup-simplify]: Simplify (log 1) into 0 4.130 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.130 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.130 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.130 * [taylor]: Taking taylor expansion of 1 in x 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.130 * [taylor]: Taking taylor expansion of x in x 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.131 * [backup-simplify]: Simplify (/ 1 1) into 1 4.131 * [backup-simplify]: Simplify (+ 0 1) into 1 4.131 * [backup-simplify]: Simplify (log 1) into 0 4.132 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.132 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (+ 1 0) into 1 4.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.133 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (+ 0 0) into 0 4.136 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.136 * [backup-simplify]: Simplify -1/2 into -1/2 4.136 * [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))))) 4.136 * [backup-simplify]: Simplify (* (sqrt (log1p (/ 1 (- x)))) (sqrt (log1p (/ 1 (- x))))) into (log1p (/ -1 x)) 4.136 * [approximate]: Taking taylor expansion of (log1p (/ -1 x)) in (x) around 0 4.136 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.136 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.136 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.136 * [taylor]: Taking taylor expansion of 1 in x 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.136 * [taylor]: Taking taylor expansion of -1 in x 4.136 * [backup-simplify]: Simplify -1 into -1 4.136 * [taylor]: Taking taylor expansion of x in x 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (/ -1 1) into -1 4.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.137 * [backup-simplify]: Simplify (log -1) into (log -1) 4.137 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.137 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.137 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.137 * [taylor]: Taking taylor expansion of 1 in x 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.137 * [taylor]: Taking taylor expansion of -1 in x 4.137 * [backup-simplify]: Simplify -1 into -1 4.137 * [taylor]: Taking taylor expansion of x in x 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (/ -1 1) into -1 4.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.138 * [backup-simplify]: Simplify (log -1) into (log -1) 4.138 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.139 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 4.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ 1 0) into 1 4.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.140 * [backup-simplify]: Simplify -1 into -1 4.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ 0 0) into 0 4.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.143 * [backup-simplify]: Simplify -1/2 into -1/2 4.143 * [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))))) 4.143 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.143 * [backup-simplify]: Simplify (sqrt (log1p x)) into (sqrt (log1p x)) 4.143 * [approximate]: Taking taylor expansion of (sqrt (log1p x)) in (x) around 0 4.143 * [taylor]: Taking taylor expansion of (sqrt (log1p x)) in x 4.144 * [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 4.144 * [backup-simplify]: Simplify (log 1) into 0 4.145 * [backup-simplify]: Simplify (+ 0 1) into 1 4.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.146 * [backup-simplify]: Simplify (sqrt 0) into 0 4.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.147 * [taylor]: Taking taylor expansion of (sqrt (log1p x)) in x 4.147 * [taylor]: Taking taylor expansion of (log1p x) in x 4.147 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.147 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.147 * [taylor]: Taking taylor expansion of 1 in x 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [taylor]: Taking taylor expansion of x in x 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [backup-simplify]: Simplify (+ 1 0) into 1 4.147 * [backup-simplify]: Simplify (log 1) into 0 4.148 * [backup-simplify]: Simplify (+ 0 1) into 1 4.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.149 * [backup-simplify]: Simplify (sqrt 0) into 0 4.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.150 * [backup-simplify]: Simplify (+ 0 0) into 0 4.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.154 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.154 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.155 * [backup-simplify]: Simplify (+ 0 0) into 0 4.158 * [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 4.161 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.161 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.161 * [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))))))) 4.161 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 x))) into (sqrt (log1p (/ 1 x))) 4.161 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in (x) around 0 4.161 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in x 4.161 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.162 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.162 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.162 * [taylor]: Taking taylor expansion of 1 in x 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.162 * [taylor]: Taking taylor expansion of x in x 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [backup-simplify]: Simplify (/ 1 1) into 1 4.162 * [backup-simplify]: Simplify (+ 0 1) into 1 4.162 * [backup-simplify]: Simplify (log 1) into 0 4.163 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.163 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.163 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.164 * [backup-simplify]: Simplify (+ 1 0) into 1 4.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.165 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log x))))) into (/ 1/2 (sqrt (- (log x)))) 4.165 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in x 4.165 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.165 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.165 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.165 * [taylor]: Taking taylor expansion of 1 in x 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.165 * [taylor]: Taking taylor expansion of x in x 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (/ 1 1) into 1 4.166 * [backup-simplify]: Simplify (+ 0 1) into 1 4.166 * [backup-simplify]: Simplify (log 1) into 0 4.166 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.166 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.167 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ 1 0) into 1 4.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.168 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.168 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log x))))) into (/ 1/2 (sqrt (- (log x)))) 4.168 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.169 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log x)))) into (/ 1/2 (sqrt (- (log x)))) 4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.171 * [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))))) 4.171 * [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))))) 4.172 * [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)))))) 4.172 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- x)))) into (sqrt (log1p (/ -1 x))) 4.172 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in (x) around 0 4.172 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in x 4.172 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.172 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.172 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.172 * [taylor]: Taking taylor expansion of 1 in x 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.172 * [taylor]: Taking taylor expansion of -1 in x 4.172 * [backup-simplify]: Simplify -1 into -1 4.172 * [taylor]: Taking taylor expansion of x in x 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.173 * [backup-simplify]: Simplify (/ -1 1) into -1 4.173 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.173 * [backup-simplify]: Simplify (log -1) into (log -1) 4.174 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.174 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.174 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.175 * [backup-simplify]: Simplify (+ 1 0) into 1 4.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.177 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.177 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.177 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in x 4.177 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.177 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.177 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.177 * [taylor]: Taking taylor expansion of 1 in x 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.177 * [taylor]: Taking taylor expansion of -1 in x 4.177 * [backup-simplify]: Simplify -1 into -1 4.177 * [taylor]: Taking taylor expansion of x in x 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (/ -1 1) into -1 4.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.182 * [backup-simplify]: Simplify (log -1) into (log -1) 4.182 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.183 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.183 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.184 * [backup-simplify]: Simplify (+ 1 0) into 1 4.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.185 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.186 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.186 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.186 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (+ 0 0) into 0 4.189 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.190 * [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)))))) 4.191 * [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)))))) 4.192 * [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))))))))) 4.193 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.193 * [backup-simplify]: Simplify (sqrt (log1p x)) into (sqrt (log1p x)) 4.193 * [approximate]: Taking taylor expansion of (sqrt (log1p x)) in (x) around 0 4.193 * [taylor]: Taking taylor expansion of (sqrt (log1p x)) in x 4.193 * [taylor]: Taking taylor expansion of (log1p x) in x 4.193 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.193 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.193 * [taylor]: Taking taylor expansion of 1 in x 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [taylor]: Taking taylor expansion of x in x 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (+ 1 0) into 1 4.193 * [backup-simplify]: Simplify (log 1) into 0 4.194 * [backup-simplify]: Simplify (+ 0 1) into 1 4.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.195 * [backup-simplify]: Simplify (sqrt 0) into 0 4.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.196 * [taylor]: Taking taylor expansion of (sqrt (log1p x)) in x 4.196 * [taylor]: Taking taylor expansion of (log1p x) in x 4.196 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.196 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.196 * [taylor]: Taking taylor expansion of 1 in x 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [taylor]: Taking taylor expansion of x in x 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (+ 1 0) into 1 4.196 * [backup-simplify]: Simplify (log 1) into 0 4.197 * [backup-simplify]: Simplify (+ 0 1) into 1 4.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.198 * [backup-simplify]: Simplify (sqrt 0) into 0 4.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.199 * [backup-simplify]: Simplify (+ 0 0) into 0 4.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.203 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.203 * [backup-simplify]: Simplify (+ 0 0) into 0 4.206 * [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 4.208 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.208 * [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 4.209 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.209 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.209 * [taylor]: Taking taylor expansion of 1 in x 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.209 * [taylor]: Taking taylor expansion of x in x 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [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 4.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.212 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.212 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log x))))) into (/ 1/2 (sqrt (- (log x)))) 4.212 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 x))) in x 4.212 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.212 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.212 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.212 * [taylor]: Taking taylor expansion of 1 in x 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.212 * [taylor]: Taking taylor expansion of x in x 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.213 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [backup-simplify]: Simplify (+ 0 1) into 1 4.213 * [backup-simplify]: Simplify (log 1) into 0 4.213 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.214 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.214 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.215 * [backup-simplify]: Simplify (+ 1 0) into 1 4.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.216 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log x))))) into (/ 1/2 (sqrt (- (log x)))) 4.216 * [backup-simplify]: Simplify (sqrt (- (log x))) into (sqrt (- (log x))) 4.216 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log x)))) into (/ 1/2 (sqrt (- (log x)))) 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (+ 0 0) into 0 4.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.218 * [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))))) 4.219 * [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))))) 4.219 * [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)))))) 4.219 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- x)))) into (sqrt (log1p (/ -1 x))) 4.219 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in (x) around 0 4.219 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 x))) in x 4.219 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.219 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.219 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.219 * [taylor]: Taking taylor expansion of 1 in x 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.219 * [taylor]: Taking taylor expansion of -1 in x 4.219 * [backup-simplify]: Simplify -1 into -1 4.219 * [taylor]: Taking taylor expansion of x in x 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ -1 1) into -1 4.220 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.220 * [backup-simplify]: Simplify (log -1) into (log -1) 4.221 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.222 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.222 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (+ 1 0) into 1 4.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.225 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.226 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.226 * [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 4.230 * [backup-simplify]: Simplify (+ 1 0) into 1 4.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.232 * [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))))) 4.233 * [backup-simplify]: Simplify (sqrt (- (log -1) (log x))) into (sqrt (- (log -1) (log x))) 4.234 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log x))))) 4.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.239 * [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)))))) 4.240 * [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)))))) 4.243 * [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))))))))) 4.243 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.243 * [backup-simplify]: Simplify (log1p x) into (log1p x) 4.243 * [approximate]: Taking taylor expansion of (log1p x) in (x) around 0 4.243 * [taylor]: Taking taylor expansion of (log1p x) in x 4.243 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.243 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.243 * [taylor]: Taking taylor expansion of 1 in x 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [taylor]: Taking taylor expansion of x in x 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify (+ 1 0) into 1 4.244 * [backup-simplify]: Simplify (log 1) into 0 4.244 * [taylor]: Taking taylor expansion of (log1p x) in x 4.244 * [taylor]: Rewrote expression to (log (+ 1 x)) 4.244 * [taylor]: Taking taylor expansion of (+ 1 x) in x 4.244 * [taylor]: Taking taylor expansion of 1 in x 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [taylor]: Taking taylor expansion of x in x 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (+ 1 0) into 1 4.245 * [backup-simplify]: Simplify (log 1) into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify (+ 0 1) into 1 4.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.246 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (+ 0 0) into 0 4.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.249 * [backup-simplify]: Simplify -1/2 into -1/2 4.250 * [backup-simplify]: Simplify (+ 0 0) into 0 4.254 * [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 4.254 * [backup-simplify]: Simplify 1/3 into 1/3 4.255 * [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))) 4.255 * [backup-simplify]: Simplify (log1p (/ 1 x)) into (log1p (/ 1 x)) 4.255 * [approximate]: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 4.255 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.255 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.255 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.255 * [taylor]: Taking taylor expansion of 1 in x 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.255 * [taylor]: Taking taylor expansion of x in x 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (/ 1 1) into 1 4.256 * [backup-simplify]: Simplify (+ 0 1) into 1 4.256 * [backup-simplify]: Simplify (log 1) into 0 4.256 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 4.256 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 4.256 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 4.256 * [taylor]: Taking taylor expansion of 1 in x 4.256 * [backup-simplify]: Simplify 1 into 1 4.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.256 * [taylor]: Taking taylor expansion of x in x 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (/ 1 1) into 1 4.257 * [backup-simplify]: Simplify (+ 0 1) into 1 4.258 * [backup-simplify]: Simplify (log 1) into 0 4.258 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 4.258 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (+ 1 0) into 1 4.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.261 * [backup-simplify]: Simplify 1 into 1 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (+ 0 0) into 0 4.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.265 * [backup-simplify]: Simplify -1/2 into -1/2 4.265 * [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))))) 4.265 * [backup-simplify]: Simplify (log1p (/ 1 (- x))) into (log1p (/ -1 x)) 4.265 * [approximate]: Taking taylor expansion of (log1p (/ -1 x)) in (x) around 0 4.265 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.265 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.265 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.266 * [taylor]: Taking taylor expansion of 1 in x 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.266 * [taylor]: Taking taylor expansion of -1 in x 4.266 * [backup-simplify]: Simplify -1 into -1 4.266 * [taylor]: Taking taylor expansion of x in x 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [backup-simplify]: Simplify (/ -1 1) into -1 4.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.267 * [backup-simplify]: Simplify (log -1) into (log -1) 4.267 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 4.267 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 4.267 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 4.267 * [taylor]: Taking taylor expansion of 1 in x 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.267 * [taylor]: Taking taylor expansion of -1 in x 4.267 * [backup-simplify]: Simplify -1 into -1 4.267 * [taylor]: Taking taylor expansion of x in x 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (/ -1 1) into -1 4.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.268 * [backup-simplify]: Simplify (log -1) into (log -1) 4.269 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 4.270 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 4.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (+ 1 0) into 1 4.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.272 * [backup-simplify]: Simplify -1 into -1 4.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (+ 0 0) into 0 4.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.274 * [backup-simplify]: Simplify -1/2 into -1/2 4.275 * [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))))) 4.275 * * * [progress]: simplifying candidates 4.275 * * * * [progress]: [ 1 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 2 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 3 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 4 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 5 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 6 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 7 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 8 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 9 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 10 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 11 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 12 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 13 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 14 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 15 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 16 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 17 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 18 / 108 ] simplifiying candidate # 4.275 * * * * [progress]: [ 19 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 20 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 21 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 22 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 23 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 24 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 25 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 26 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 27 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 28 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 29 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 30 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 31 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 32 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 33 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 34 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 35 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 36 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 37 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 38 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 39 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 40 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 41 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 42 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 43 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 44 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 45 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 46 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 47 / 108 ] simplifiying candidate # 4.276 * * * * [progress]: [ 48 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 49 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 50 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 51 / 108 ] simplifiying candidate #real (real->posit16 (* (sqrt (log1p x)) (sqrt (log1p x))))))> 4.277 * * * * [progress]: [ 52 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 53 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 54 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 55 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 56 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 57 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 58 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 59 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 60 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 61 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 62 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 63 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 64 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 65 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 66 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 67 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 68 / 108 ] simplifiying candidate #real (real->posit16 (sqrt (log1p x))))))> 4.277 * * * * [progress]: [ 69 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 70 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 71 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 72 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 73 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 74 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 75 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 76 / 108 ] simplifiying candidate # 4.277 * * * * [progress]: [ 77 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 78 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 79 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 80 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 81 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 82 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 83 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 84 / 108 ] simplifiying candidate #real (real->posit16 (sqrt (log1p x)))) (sqrt (log1p x))))> 4.278 * * * * [progress]: [ 85 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 86 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 87 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 88 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 89 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 90 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 91 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 92 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 93 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 94 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 95 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 96 / 108 ] simplifiying candidate #real (real->posit16 (log1p x))))))> 4.278 * * * * [progress]: [ 97 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 98 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 99 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 100 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 101 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 102 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 103 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 104 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 105 / 108 ] simplifiying candidate # 4.278 * * * * [progress]: [ 106 / 108 ] simplifiying candidate # 4.279 * * * * [progress]: [ 107 / 108 ] simplifiying candidate # 4.279 * * * * [progress]: [ 108 / 108 ] simplifiying candidate # 4.279 * [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))))) 4.281 * * [simplify]: iteration 0: 127 enodes 4.325 * * [simplify]: iteration 1: 308 enodes 4.415 * * [simplify]: iteration 2: 922 enodes 4.937 * * [simplify]: iteration 3: 2914 enodes 5.503 * * [simplify]: iteration complete: 5033 enodes 5.503 * * [simplify]: Extracting #0: cost 37 inf + 0 5.504 * * [simplify]: Extracting #1: cost 292 inf + 4 5.509 * * [simplify]: Extracting #2: cost 874 inf + 6798 5.523 * * [simplify]: Extracting #3: cost 691 inf + 49602 5.560 * * [simplify]: Extracting #4: cost 303 inf + 139765 5.638 * * [simplify]: Extracting #5: cost 63 inf + 229849 5.740 * * [simplify]: Extracting #6: cost 0 inf + 251906 5.845 * [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)) (* (sqrt (log1p x)) (cbrt (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))) (* (sqrt (log1p x)) (cbrt (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)) (* (sqrt (log1p x)) (cbrt (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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(/ (/ 1/4 (* x x)) (sqrt (log x)))))) (fma -1/8 (/ (sqrt (/ (/ (/ 1 (+ 0 (log x))) (+ 0 (log x))) (+ 0 (log x)))) (* x x)) (fma -1/4 (/ (/ (sqrt (/ 1 (+ 0 (log x)))) x) x) (fma 1/2 (/ (sqrt (/ 1 (+ 0 (log x)))) x) (sqrt (+ 0 (log x)))))) (fma (- x) +nan.0 (* +nan.0 (- (* (* x x) x) (* x x)))) (+ (/ -1/8 (* (* x x) (* (log x) (sqrt (log x))))) (+ (sqrt (log x)) (- (/ (/ 1/2 x) (sqrt (log x))) (/ (/ 1/4 (* x x)) (sqrt (log x)))))) (fma -1/8 (/ (sqrt (/ (/ (/ 1 (+ 0 (log x))) (+ 0 (log x))) (+ 0 (log x)))) (* x x)) (fma -1/4 (/ (/ (sqrt (/ 1 (+ 0 (log x)))) x) x) (fma 1/2 (/ (sqrt (/ 1 (+ 0 (log x)))) x) (sqrt (+ 0 (log x)))))) (fma (* x x) (* 1/3 x) (fma (* x x) -1/2 x)) (- (+ (log x) (/ 1 x)) (/ (/ 1/2 x) x)) (+ (/ 1 x) (- (+ 0 (log x)) (/ (/ 1/2 x) x))) 5.851 * * * [progress]: adding candidates to table 6.135 * [progress]: [Phase 3 of 3] Extracting. 6.135 * * [regime]: Finding splitpoints for: (# #) 6.135 * * * [regime-changes]: Trying 1 branch expressions: (x) 6.135 * * * * [regimes]: Trying to branch on x from (# #) 6.152 * * * [regime]: Found split indices: #