0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.117 * * * [progress]: [2/2] Setting up program. 0.121 * [progress]: [Phase 2 of 3] Improving. 0.121 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.121 * [simplify]: Simplifying (log (+ 1 x)) 0.121 * * [simplify]: iteration 1: (4 enodes) 0.124 * * [simplify]: iteration 2: (16 enodes) 0.129 * * [simplify]: iteration 3: (18 enodes) 0.135 * * [simplify]: Extracting #0: cost 1 inf + 0 0.135 * * [simplify]: Extracting #1: cost 4 inf + 0 0.135 * * [simplify]: Extracting #2: cost 3 inf + 183 0.135 * * [simplify]: Extracting #3: cost 2 inf + 184 0.135 * * [simplify]: Extracting #4: cost 0 inf + 268 0.136 * [simplify]: Simplified to (log1p x) 0.145 * * [progress]: iteration 1 / 4 0.146 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.156 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.157 * * * [progress]: generating series expansions 0.157 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.157 * [backup-simplify]: Simplify (log1p x) into (log1p x) 0.157 * [approximate]: Taking taylor expansion of (log1p x) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (log1p x) in x 0.157 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.157 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of 1 in x 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [backup-simplify]: Simplify (log 1) into 0 0.159 * [taylor]: Taking taylor expansion of (log1p x) in x 0.159 * [taylor]: Rewrote expression to (log (+ 1 x)) 0.159 * [taylor]: Taking taylor expansion of (+ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of 1 in x 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ 0 1) into 1 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.165 * [backup-simplify]: Simplify -1/2 into -1/2 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [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 0.168 * [backup-simplify]: Simplify 1/3 into 1/3 0.168 * [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))) 0.168 * [backup-simplify]: Simplify (log1p (/ 1 x)) into (log1p (/ 1 x)) 0.168 * [approximate]: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.168 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.168 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of 1 in x 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ 0 1) into 1 0.169 * [backup-simplify]: Simplify (log 1) into 0 0.169 * [taylor]: Taking taylor expansion of (log1p (/ 1 x)) in x 0.169 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 x))) 0.169 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of 1 in x 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (+ 0 1) into 1 0.170 * [backup-simplify]: Simplify (log 1) into 0 0.171 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.171 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.175 * [backup-simplify]: Simplify -1/2 into -1/2 0.175 * [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))))) 0.175 * [backup-simplify]: Simplify (log1p (/ 1 (- x))) into (log1p (/ -1 x)) 0.175 * [approximate]: Taking taylor expansion of (log1p (/ -1 x)) in (x) around 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 -1 in x 0.175 * [backup-simplify]: Simplify -1 into -1 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 (log -1) 0.176 * [taylor]: Taking taylor expansion of (log1p (/ -1 x)) in x 0.176 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 x))) 0.176 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 1 in x 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.176 * [taylor]: Taking taylor expansion of -1 in x 0.176 * [backup-simplify]: Simplify -1 into -1 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ -1 1) into -1 0.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.185 * [backup-simplify]: Simplify (log -1) into (log -1) 0.186 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.186 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.188 * [backup-simplify]: Simplify -1 into -1 0.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.191 * [backup-simplify]: Simplify -1/2 into -1/2 0.191 * [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))))) 0.191 * * * [progress]: simplifying candidates 0.191 * * * * [progress]: [ 1 / 15 ] simplifiying candidate # 0.191 * * * * [progress]: [ 2 / 15 ] simplifiying candidate # 0.191 * * * * [progress]: [ 3 / 15 ] simplifiying candidate # 0.191 * * * * [progress]: [ 4 / 15 ] simplifiying candidate # 0.191 * * * * [progress]: [ 5 / 15 ] simplifiying candidate # 0.191 * * * * [progress]: [ 6 / 15 ] simplifiying candidate # 0.191 * * * * [progress]: [ 7 / 15 ] simplifiying candidate # 0.191 * * * * [progress]: [ 8 / 15 ] simplifiying candidate # 0.191 * * * * [progress]: [ 9 / 15 ] simplifiying candidate # 0.192 * * * * [progress]: [ 10 / 15 ] simplifiying candidate # 0.192 * * * * [progress]: [ 11 / 15 ] simplifiying candidate # 0.192 * * * * [progress]: [ 12 / 15 ] simplifiying candidate #real (real->posit16 (log1p x))))> 0.192 * * * * [progress]: [ 13 / 15 ] simplifiying candidate # 0.192 * * * * [progress]: [ 14 / 15 ] simplifiying candidate # 0.192 * * * * [progress]: [ 15 / 15 ] simplifiying candidate # 0.192 * [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))))) 0.192 * * [simplify]: iteration 1: (37 enodes) 0.205 * * [simplify]: iteration 2: (148 enodes) 0.251 * * [simplify]: iteration 3: (262 enodes) 0.339 * * [simplify]: iteration 4: (517 enodes) 0.585 * * [simplify]: iteration 5: (1076 enodes) 1.656 * * [simplify]: Extracting #0: cost 12 inf + 0 1.657 * * [simplify]: Extracting #1: cost 159 inf + 1 1.661 * * [simplify]: Extracting #2: cost 498 inf + 3081 1.671 * * [simplify]: Extracting #3: cost 428 inf + 14018 1.689 * * [simplify]: Extracting #4: cost 297 inf + 40844 1.737 * * [simplify]: Extracting #5: cost 50 inf + 115271 1.788 * * [simplify]: Extracting #6: cost 0 inf + 131646 1.814 * [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))) 1.815 * * * [progress]: adding candidates to table 1.913 * [progress]: [Phase 3 of 3] Extracting. 1.916 * [simplify]: Simplifying (log1p x) 1.916 * * [simplify]: iteration 1: (2 enodes) 1.916 * * [simplify]: Extracting #0: cost 1 inf + 0 1.916 * * [simplify]: Extracting #1: cost 2 inf + 0 1.917 * * [simplify]: Extracting #2: cost 1 inf + 1 1.917 * * [simplify]: Extracting #3: cost 0 inf + 92 1.917 * [simplify]: Simplified to (log1p x) 5.345 * [regime-testing]: Baseline error score: 0.0007500937617202151 5.350 * [regime-testing]: Oracle error score: 0.0007500937617202151 5.350 * [regime-testing]: End program error score: 0.0007500937617202151 5.397 * [regime-testing]: Target error score: 0.19674139843235217