0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.122 * * * [progress]: [2/2] Setting up program. 0.127 * [progress]: [Phase 2 of 3] Improving. 0.127 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.128 * [simplify]: Simplifying (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 0.128 * * [simplify]: iters left: 6 (9 enodes) 0.132 * * [simplify]: iters left: 5 (32 enodes) 0.143 * * [simplify]: iters left: 4 (40 enodes) 0.155 * * [simplify]: iters left: 3 (44 enodes) 0.162 * * [simplify]: Extracting #0: cost 1 inf + 0 0.162 * * [simplify]: Extracting #1: cost 3 inf + 0 0.162 * * [simplify]: Extracting #2: cost 6 inf + 0 0.162 * * [simplify]: Extracting #3: cost 11 inf + 0 0.162 * * [simplify]: Extracting #4: cost 11 inf + 2 0.162 * * [simplify]: Extracting #5: cost 13 inf + 86 0.162 * * [simplify]: Extracting #6: cost 11 inf + 483 0.162 * * [simplify]: Extracting #7: cost 3 inf + 1461 0.163 * * [simplify]: Extracting #8: cost 0 inf + 2297 0.163 * * [simplify]: Extracting #9: cost 0 inf + 2252 0.163 * [simplify]: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 0.163 * [simplify]: Simplified (2) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) 0.167 * * [progress]: iteration 1 / 4 0.167 * * * [progress]: picking best candidate 0.169 * * * * [pick]: Picked # 0.169 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2 1) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2 1) 0.217 * [backup-simplify]: Simplify (sqrt (- 1 (* x x))) into (sqrt (- 1 (pow x 2))) 0.217 * [approximate]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.217 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.218 * [taylor]: Taking taylor expansion of 1 in x 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify (sqrt 1) into 1 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.220 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.220 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of 1 in x 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ 1 0) into 1 0.221 * [backup-simplify]: Simplify (sqrt 1) into 1 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.223 * [backup-simplify]: Simplify (- 1) into -1 0.224 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.225 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.225 * [backup-simplify]: Simplify -1/2 into -1/2 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.231 * [backup-simplify]: Simplify -1/8 into -1/8 0.231 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) 0.231 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1 (/ 1 (pow x 2)))) 0.232 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.232 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (- 1) into -1 0.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.234 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.237 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.237 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.237 * [taylor]: Taking taylor expansion of 1 in x 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (- 1) into -1 0.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.239 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.242 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.249 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.261 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.264 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow (/ 1 x) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1)))) 0.265 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1 (/ 1 (pow x 2)))) 0.265 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.265 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.265 * [taylor]: Taking taylor expansion of 1 in x 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (- 1) into -1 0.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.267 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.270 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.270 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.270 * [taylor]: Taking taylor expansion of 1 in x 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (- 1) into -1 0.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.272 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.275 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.282 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.294 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.296 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))) 0.297 * * * [progress]: simplifying candidates 0.297 * * * * [progress]: [ 1 / 23 ] simplifiying candidate # 0.297 * * * * [progress]: [ 2 / 23 ] simplifiying candidate # 0.297 * * * * [progress]: [ 3 / 23 ] simplifiying candidate # 0.297 * * * * [progress]: [ 4 / 23 ] simplifiying candidate # 0.297 * * * * [progress]: [ 5 / 23 ] simplifiying candidate # 0.297 * * * * [progress]: [ 6 / 23 ] simplifiying candidate # 0.297 * * * * [progress]: [ 7 / 23 ] simplifiying candidate # 0.297 * * * * [progress]: [ 8 / 23 ] simplifiying candidate # 0.297 * * * * [progress]: [ 9 / 23 ] simplifiying candidate # 0.297 * [simplify]: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) 0.297 * * [simplify]: iters left: 6 (7 enodes) 0.299 * * [simplify]: iters left: 5 (26 enodes) 0.303 * * [simplify]: iters left: 4 (34 enodes) 0.308 * * [simplify]: iters left: 3 (38 enodes) 0.314 * * [simplify]: Extracting #0: cost 1 inf + 0 0.314 * * [simplify]: Extracting #1: cost 4 inf + 0 0.314 * * [simplify]: Extracting #2: cost 7 inf + 0 0.314 * * [simplify]: Extracting #3: cost 13 inf + 0 0.314 * * [simplify]: Extracting #4: cost 13 inf + 43 0.314 * * [simplify]: Extracting #5: cost 7 inf + 410 0.314 * * [simplify]: Extracting #6: cost 1 inf + 1422 0.315 * * [simplify]: Extracting #7: cost 0 inf + 1624 0.315 * [simplify]: Simplified to (fabs (cbrt (- 1 (* x x)))) 0.315 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (fabs (cbrt (- 1 (* x x)))) (sqrt (cbrt (- 1 (* x x))))) x)))) 0.315 * * * * [progress]: [ 10 / 23 ] simplifiying candidate # 0.315 * [simplify]: Simplifying (sqrt (sqrt (- 1 (* x x)))) 0.315 * * [simplify]: iters left: 6 (6 enodes) 0.320 * * [simplify]: iters left: 5 (22 enodes) 0.324 * * [simplify]: iters left: 4 (30 enodes) 0.329 * * [simplify]: iters left: 3 (34 enodes) 0.338 * * [simplify]: Extracting #0: cost 1 inf + 0 0.338 * * [simplify]: Extracting #1: cost 3 inf + 0 0.338 * * [simplify]: Extracting #2: cost 5 inf + 0 0.338 * * [simplify]: Extracting #3: cost 11 inf + 0 0.339 * * [simplify]: Extracting #4: cost 10 inf + 84 0.339 * * [simplify]: Extracting #5: cost 5 inf + 410 0.339 * * [simplify]: Extracting #6: cost 1 inf + 898 0.340 * * [simplify]: Extracting #7: cost 0 inf + 1060 0.340 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* x x)))) 0.340 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x))))) x)))) 0.340 * * * * [progress]: [ 11 / 23 ] simplifiying candidate # 0.340 * [simplify]: Simplifying (sqrt 1) 0.341 * * [simplify]: iters left: 1 (2 enodes) 0.343 * * [simplify]: Extracting #0: cost 1 inf + 0 0.344 * * [simplify]: Extracting #1: cost 0 inf + 1 0.344 * [simplify]: Simplified to 1 0.344 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* 1 (sqrt (- 1 (* x x)))) x)))) 0.344 * * * * [progress]: [ 12 / 23 ] simplifiying candidate # 0.344 * [simplify]: Simplifying (sqrt (+ (sqrt 1) x)) 0.344 * * [simplify]: iters left: 4 (5 enodes) 0.348 * * [simplify]: iters left: 3 (18 enodes) 0.353 * * [simplify]: iters left: 2 (20 enodes) 0.359 * * [simplify]: Extracting #0: cost 1 inf + 0 0.359 * * [simplify]: Extracting #1: cost 3 inf + 0 0.359 * * [simplify]: Extracting #2: cost 6 inf + 0 0.359 * * [simplify]: Extracting #3: cost 4 inf + 2 0.359 * * [simplify]: Extracting #4: cost 0 inf + 250 0.359 * [simplify]: Simplified to (sqrt (+ 1 x)) 0.360 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (sqrt (+ 1 x)) (sqrt (- (sqrt 1) x))) x)))) 0.360 * * * * [progress]: [ 13 / 23 ] simplifiying candidate # 0.360 * [simplify]: Simplifying (sqrt (+ 1 x)) 0.360 * * [simplify]: iters left: 3 (4 enodes) 0.362 * * [simplify]: iters left: 2 (15 enodes) 0.368 * * [simplify]: iters left: 1 (17 enodes) 0.372 * * [simplify]: Extracting #0: cost 1 inf + 0 0.373 * * [simplify]: Extracting #1: cost 3 inf + 0 0.373 * * [simplify]: Extracting #2: cost 6 inf + 0 0.373 * * [simplify]: Extracting #3: cost 2 inf + 86 0.373 * * [simplify]: Extracting #4: cost 1 inf + 168 0.373 * * [simplify]: Extracting #5: cost 0 inf + 250 0.373 * [simplify]: Simplified to (sqrt (+ x 1)) 0.373 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (sqrt (+ x 1)) (sqrt (- 1 x))) x)))) 0.373 * * * * [progress]: [ 14 / 23 ] simplifiying candidate # 0.374 * [simplify]: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) 0.374 * * [simplify]: iters left: 6 (8 enodes) 0.379 * * [simplify]: iters left: 5 (38 enodes) 0.392 * * [simplify]: iters left: 4 (87 enodes) 0.413 * * [simplify]: iters left: 3 (200 enodes) 0.475 * * [simplify]: iters left: 2 (388 enodes) 0.629 * * [simplify]: Extracting #0: cost 1 inf + 0 0.629 * * [simplify]: Extracting #1: cost 3 inf + 0 0.629 * * [simplify]: Extracting #2: cost 15 inf + 0 0.629 * * [simplify]: Extracting #3: cost 84 inf + 1 0.630 * * [simplify]: Extracting #4: cost 171 inf + 2007 0.632 * * [simplify]: Extracting #5: cost 123 inf + 12009 0.641 * * [simplify]: Extracting #6: cost 56 inf + 39765 0.656 * * [simplify]: Extracting #7: cost 2 inf + 63914 0.671 * * [simplify]: Extracting #8: cost 0 inf + 63741 0.687 * * [simplify]: Extracting #9: cost 0 inf + 63610 0.703 * [simplify]: Simplified to (sqrt (- 1 (* (* x (* x x)) (* x (* x x))))) 0.703 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (/ (sqrt (- 1 (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) x)))) 0.703 * * * * [progress]: [ 15 / 23 ] simplifiying candidate # 0.703 * [simplify]: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) 0.703 * * [simplify]: iters left: 6 (7 enodes) 0.708 * * [simplify]: iters left: 5 (28 enodes) 0.717 * * [simplify]: iters left: 4 (47 enodes) 0.734 * * [simplify]: iters left: 3 (79 enodes) 0.761 * * [simplify]: iters left: 2 (102 enodes) 0.778 * * [simplify]: iters left: 1 (153 enodes) 0.822 * * [simplify]: Extracting #0: cost 1 inf + 0 0.822 * * [simplify]: Extracting #1: cost 3 inf + 0 0.822 * * [simplify]: Extracting #2: cost 13 inf + 0 0.822 * * [simplify]: Extracting #3: cost 30 inf + 124 0.823 * * [simplify]: Extracting #4: cost 43 inf + 1029 0.824 * * [simplify]: Extracting #5: cost 28 inf + 4542 0.826 * * [simplify]: Extracting #6: cost 1 inf + 12714 0.828 * * [simplify]: Extracting #7: cost 0 inf + 13177 0.831 * [simplify]: Simplified to (sqrt (- 1 (* (* x x) (* x x)))) 0.831 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (/ (sqrt (- 1 (* (* x x) (* x x)))) (sqrt (+ 1 (* x x)))) x)))) 0.831 * * * * [progress]: [ 16 / 23 ] simplifiying candidate # 0.831 * [simplify]: Simplifying (- 1 (* x x)) 0.831 * * [simplify]: iters left: 4 (4 enodes) 0.833 * * [simplify]: iters left: 3 (16 enodes) 0.836 * * [simplify]: iters left: 2 (24 enodes) 0.840 * * [simplify]: iters left: 1 (28 enodes) 0.844 * * [simplify]: Extracting #0: cost 1 inf + 0 0.844 * * [simplify]: Extracting #1: cost 7 inf + 0 0.844 * * [simplify]: Extracting #2: cost 7 inf + 43 0.844 * * [simplify]: Extracting #3: cost 1 inf + 411 0.844 * * [simplify]: Extracting #4: cost 0 inf + 492 0.844 * [simplify]: Simplified to (- 1 (* x x)) 0.844 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (pow (- 1 (* x x)) (/ 1 2)) x)))) 0.844 * * * * [progress]: [ 17 / 23 ] simplifiying candidate # 0.844 * * * * [progress]: [ 18 / 23 ] simplifiying candidate # 0.845 * [simplify]: Simplifying (sqrt (- 1 (* x x))) 0.845 * * [simplify]: iters left: 5 (5 enodes) 0.846 * * [simplify]: iters left: 4 (19 enodes) 0.851 * * [simplify]: iters left: 3 (27 enodes) 0.856 * * [simplify]: iters left: 2 (31 enodes) 0.860 * * [simplify]: Extracting #0: cost 1 inf + 0 0.860 * * [simplify]: Extracting #1: cost 3 inf + 0 0.860 * * [simplify]: Extracting #2: cost 9 inf + 0 0.860 * * [simplify]: Extracting #3: cost 7 inf + 165 0.861 * * [simplify]: Extracting #4: cost 0 inf + 736 0.861 * [simplify]: Simplified to (sqrt (- 1 (* x x))) 0.861 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (fabs (sqrt (- 1 (* x x)))) x)))) 0.861 * * * * [progress]: [ 19 / 23 ] simplifiying candidate # 0.861 * * * * [progress]: [ 20 / 23 ] simplifiying candidate #real (real->posit16 (sqrt (- 1 (* x x))))) x))))> 0.861 * * * * [progress]: [ 21 / 23 ] simplifiying candidate # 0.861 * [simplify]: Simplifying (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) 0.861 * * [simplify]: iters left: 6 (12 enodes) 0.866 * * [simplify]: iters left: 5 (53 enodes) 0.878 * * [simplify]: iters left: 4 (77 enodes) 0.902 * * [simplify]: iters left: 3 (121 enodes) 0.927 * * [simplify]: iters left: 2 (206 enodes) 0.967 * * [simplify]: iters left: 1 (264 enodes) 1.015 * * [simplify]: Extracting #0: cost 1 inf + 0 1.015 * * [simplify]: Extracting #1: cost 29 inf + 0 1.016 * * [simplify]: Extracting #2: cost 54 inf + 1056 1.018 * * [simplify]: Extracting #3: cost 15 inf + 5573 1.022 * * [simplify]: Extracting #4: cost 1 inf + 7015 1.025 * * [simplify]: Extracting #5: cost 0 inf + 7153 1.027 * [simplify]: Simplified to (fma -1/2 (* x x) (fma (* (* x x) (* x x)) -1/8 1)) 1.027 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (fma -1/2 (* x x) (fma (* (* x x) (* x x)) -1/8 1)) x)))) 1.027 * * * * [progress]: [ 22 / 23 ] simplifiying candidate # 1.028 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1)))) 1.028 * * [simplify]: iters left: 6 (16 enodes) 1.036 * * [simplify]: iters left: 5 (76 enodes) 1.061 * * [simplify]: iters left: 4 (142 enodes) 1.089 * * [simplify]: iters left: 3 (244 enodes) 1.171 * * [simplify]: iters left: 2 (431 enodes) 1.319 * * [simplify]: Extracting #0: cost 1 inf + 0 1.319 * * [simplify]: Extracting #1: cost 14 inf + 0 1.324 * * [simplify]: Extracting #2: cost 115 inf + 3 1.326 * * [simplify]: Extracting #3: cost 231 inf + 951 1.332 * * [simplify]: Extracting #4: cost 183 inf + 10240 1.339 * * [simplify]: Extracting #5: cost 63 inf + 50391 1.350 * * [simplify]: Extracting #6: cost 4 inf + 75624 1.364 * * [simplify]: Extracting #7: cost 0 inf + 75899 1.387 * * [simplify]: Extracting #8: cost 0 inf + 75819 1.401 * [simplify]: Simplified to (+ (* (/ 1 (* (sqrt -1) x)) (+ (/ 1/8 (* x x)) 1/2)) (* (sqrt -1) x)) 1.401 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (+ (* (/ 1 (* (sqrt -1) x)) (+ (/ 1/8 (* x x)) 1/2)) (* (sqrt -1) x)) x)))) 1.401 * * * * [progress]: [ 23 / 23 ] simplifiying candidate # 1.401 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))) 1.401 * * [simplify]: iters left: 6 (17 enodes) 1.408 * * [simplify]: iters left: 5 (82 enodes) 1.430 * * [simplify]: iters left: 4 (169 enodes) 1.487 * * [simplify]: iters left: 3 (335 enodes) 1.585 * * [simplify]: Extracting #0: cost 1 inf + 0 1.585 * * [simplify]: Extracting #1: cost 29 inf + 0 1.586 * * [simplify]: Extracting #2: cost 90 inf + 46 1.587 * * [simplify]: Extracting #3: cost 135 inf + 1255 1.593 * * [simplify]: Extracting #4: cost 70 inf + 11408 1.603 * * [simplify]: Extracting #5: cost 18 inf + 26990 1.615 * * [simplify]: Extracting #6: cost 1 inf + 33491 1.621 * * [simplify]: Extracting #7: cost 0 inf + 33703 1.627 * [simplify]: Simplified to (- (/ (/ -1/2 x) (sqrt -1)) (fma (sqrt -1) x (/ (/ (/ 1/8 x) (* x x)) (sqrt -1)))) 1.627 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (- (/ (/ -1/2 x) (sqrt -1)) (fma (sqrt -1) x (/ (/ (/ 1/8 x) (* x x)) (sqrt -1)))) x)))) 1.627 * * * [progress]: adding candidates to table 1.833 * [progress]: [Phase 3 of 3] Extracting. 1.836 * [simplify]: Simplifying (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 1.836 * * [simplify]: iters left: 6 (9 enodes) 1.836 * * [simplify]: iters left: 5 (12 enodes) 1.837 * * [simplify]: Extracting #0: cost 1 inf + 0 1.837 * * [simplify]: Extracting #1: cost 2 inf + 0 1.837 * * [simplify]: Extracting #2: cost 4 inf + 0 1.837 * * [simplify]: Extracting #3: cost 7 inf + 0 1.837 * * [simplify]: Extracting #4: cost 6 inf + 2 1.837 * * [simplify]: Extracting #5: cost 6 inf + 44 1.837 * * [simplify]: Extracting #6: cost 0 inf + 1005 1.837 * [simplify]: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 6.559 * [regime-testing]: Baseline error score: 0.027019635038035054 6.561 * [regime-testing]: Oracle error score: 0.027019635038035054 6.562 * [regime-testing]: End program error score: 0.027019635038035054