0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.164 * * * [progress]: [2/2] Setting up program. 0.169 * [progress]: [Phase 2 of 3] Improving. 0.169 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.169 * [simplify]: Simplifying (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 0.169 * * [simplify]: iters left: 6 (9 enodes) 0.174 * * [simplify]: iters left: 5 (32 enodes) 0.184 * * [simplify]: iters left: 4 (40 enodes) 0.195 * * [simplify]: iters left: 3 (42 enodes) 0.207 * * [simplify]: Extracting #0: cost 1 inf + 0 0.207 * * [simplify]: Extracting #1: cost 3 inf + 0 0.207 * * [simplify]: Extracting #2: cost 6 inf + 0 0.207 * * [simplify]: Extracting #3: cost 11 inf + 0 0.207 * * [simplify]: Extracting #4: cost 11 inf + 2 0.207 * * [simplify]: Extracting #5: cost 12 inf + 86 0.208 * * [simplify]: Extracting #6: cost 13 inf + 208 0.208 * * [simplify]: Extracting #7: cost 9 inf + 575 0.208 * * [simplify]: Extracting #8: cost 3 inf + 1386 0.209 * * [simplify]: Extracting #9: cost 0 inf + 2252 0.210 * [simplify]: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 0.210 * [simplify]: Simplified (2) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) 0.215 * * [progress]: iteration 1 / 4 0.215 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.234 * * * [progress]: generating rewritten candidates 0.234 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2 1) 0.238 * * * [progress]: generating series expansions 0.239 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2 1) 0.239 * [backup-simplify]: Simplify (sqrt (- 1 (* x x))) into (sqrt (- 1 (pow x 2))) 0.239 * [approximate]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in (x) around 0 0.239 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.239 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of 1 in x 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [backup-simplify]: Simplify (sqrt 1) into 1 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.240 * [taylor]: Taking taylor expansion of (sqrt (- 1 (pow x 2))) in x 0.240 * [taylor]: Taking taylor expansion of (- 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (+ 1 0) into 1 0.241 * [backup-simplify]: Simplify (sqrt 1) into 1 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (- 1) into -1 0.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.252 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 0.252 * [backup-simplify]: Simplify -1/2 into -1/2 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.257 * [backup-simplify]: Simplify -1/8 into -1/8 0.257 * [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)))) 0.257 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1 (/ 1 (pow x 2)))) 0.257 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.257 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.257 * [taylor]: Taking taylor expansion of 1 in x 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (- 1) into -1 0.259 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.259 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.262 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.262 * [taylor]: Taking taylor expansion of 1 in x 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (- 1) into -1 0.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.264 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.268 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.274 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.286 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.288 * [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)))) 0.289 * [backup-simplify]: Simplify (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1 (/ 1 (pow x 2)))) 0.289 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.291 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.294 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 (pow x 2)))) in x 0.294 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow x 2))) in x 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (- 1) into -1 0.296 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.296 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.300 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 0.307 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 0.322 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 0.325 * [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))))) 0.325 * * * [progress]: simplifying candidates 0.325 * * * * [progress]: [ 1 / 21 ] simplifiying candidate # 0.325 * * * * [progress]: [ 2 / 21 ] simplifiying candidate # 0.325 * * * * [progress]: [ 3 / 21 ] simplifiying candidate # 0.325 * * * * [progress]: [ 4 / 21 ] simplifiying candidate # 0.325 * * * * [progress]: [ 5 / 21 ] simplifiying candidate # 0.325 * * * * [progress]: [ 6 / 21 ] simplifiying candidate # 0.326 * * * * [progress]: [ 7 / 21 ] simplifiying candidate # 0.326 * [simplify]: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) 0.326 * * [simplify]: iters left: 6 (7 enodes) 0.330 * * [simplify]: iters left: 5 (26 enodes) 0.338 * * [simplify]: iters left: 4 (34 enodes) 0.346 * * [simplify]: iters left: 3 (36 enodes) 0.351 * * [simplify]: Extracting #0: cost 1 inf + 0 0.351 * * [simplify]: Extracting #1: cost 4 inf + 0 0.351 * * [simplify]: Extracting #2: cost 7 inf + 0 0.351 * * [simplify]: Extracting #3: cost 11 inf + 0 0.351 * * [simplify]: Extracting #4: cost 14 inf + 1 0.351 * * [simplify]: Extracting #5: cost 13 inf + 43 0.351 * * [simplify]: Extracting #6: cost 7 inf + 410 0.352 * * [simplify]: Extracting #7: cost 1 inf + 1422 0.352 * * [simplify]: Extracting #8: cost 0 inf + 1624 0.352 * [simplify]: Simplified to (fabs (cbrt (- 1 (* x x)))) 0.352 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (fabs (cbrt (- 1 (* x x)))) (sqrt (cbrt (- 1 (* x x))))) x)))) 0.352 * * * * [progress]: [ 8 / 21 ] simplifiying candidate # 0.353 * [simplify]: Simplifying (sqrt (sqrt (- 1 (* x x)))) 0.353 * * [simplify]: iters left: 6 (6 enodes) 0.354 * * [simplify]: iters left: 5 (22 enodes) 0.358 * * [simplify]: iters left: 4 (30 enodes) 0.363 * * [simplify]: iters left: 3 (32 enodes) 0.368 * * [simplify]: Extracting #0: cost 1 inf + 0 0.368 * * [simplify]: Extracting #1: cost 3 inf + 0 0.368 * * [simplify]: Extracting #2: cost 5 inf + 0 0.368 * * [simplify]: Extracting #3: cost 9 inf + 0 0.369 * * [simplify]: Extracting #4: cost 12 inf + 1 0.369 * * [simplify]: Extracting #5: cost 11 inf + 43 0.369 * * [simplify]: Extracting #6: cost 5 inf + 410 0.369 * * [simplify]: Extracting #7: cost 1 inf + 898 0.369 * * [simplify]: Extracting #8: cost 0 inf + 1060 0.369 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* x x)))) 0.369 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x))))) x)))) 0.369 * * * * [progress]: [ 9 / 21 ] simplifiying candidate # 0.370 * [simplify]: Simplifying (sqrt 1) 0.370 * * [simplify]: iters left: 1 (2 enodes) 0.372 * * [simplify]: Extracting #0: cost 1 inf + 0 0.372 * * [simplify]: Extracting #1: cost 0 inf + 1 0.372 * [simplify]: Simplified to 1 0.372 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* 1 (sqrt (- 1 (* x x)))) x)))) 0.372 * * * * [progress]: [ 10 / 21 ] simplifiying candidate # 0.372 * [simplify]: Simplifying (sqrt (+ (sqrt 1) x)) 0.372 * * [simplify]: iters left: 4 (5 enodes) 0.377 * * [simplify]: iters left: 3 (18 enodes) 0.381 * * [simplify]: iters left: 2 (20 enodes) 0.384 * * [simplify]: Extracting #0: cost 1 inf + 0 0.384 * * [simplify]: Extracting #1: cost 3 inf + 0 0.384 * * [simplify]: Extracting #2: cost 6 inf + 0 0.384 * * [simplify]: Extracting #3: cost 4 inf + 2 0.384 * * [simplify]: Extracting #4: cost 0 inf + 250 0.384 * [simplify]: Simplified to (sqrt (+ 1 x)) 0.384 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (sqrt (+ 1 x)) (sqrt (- (sqrt 1) x))) x)))) 0.384 * * * * [progress]: [ 11 / 21 ] simplifiying candidate # 0.385 * [simplify]: Simplifying (sqrt (+ 1 x)) 0.385 * * [simplify]: iters left: 3 (4 enodes) 0.386 * * [simplify]: iters left: 2 (15 enodes) 0.389 * * [simplify]: iters left: 1 (17 enodes) 0.392 * * [simplify]: Extracting #0: cost 1 inf + 0 0.392 * * [simplify]: Extracting #1: cost 3 inf + 0 0.392 * * [simplify]: Extracting #2: cost 6 inf + 0 0.392 * * [simplify]: Extracting #3: cost 2 inf + 86 0.392 * * [simplify]: Extracting #4: cost 1 inf + 168 0.392 * * [simplify]: Extracting #5: cost 0 inf + 250 0.392 * [simplify]: Simplified to (sqrt (+ x 1)) 0.392 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (sqrt (+ x 1)) (sqrt (- 1 x))) x)))) 0.392 * * * * [progress]: [ 12 / 21 ] simplifiying candidate # 0.392 * [simplify]: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) 0.392 * * [simplify]: iters left: 6 (8 enodes) 0.397 * * [simplify]: iters left: 5 (38 enodes) 0.406 * * [simplify]: iters left: 4 (87 enodes) 0.427 * * [simplify]: iters left: 3 (192 enodes) 0.486 * * [simplify]: iters left: 2 (383 enodes) 0.636 * * [simplify]: Extracting #0: cost 1 inf + 0 0.636 * * [simplify]: Extracting #1: cost 3 inf + 0 0.637 * * [simplify]: Extracting #2: cost 7 inf + 0 0.637 * * [simplify]: Extracting #3: cost 57 inf + 1 0.638 * * [simplify]: Extracting #4: cost 161 inf + 1380 0.641 * * [simplify]: Extracting #5: cost 136 inf + 7916 0.651 * * [simplify]: Extracting #6: cost 79 inf + 25372 0.662 * * [simplify]: Extracting #7: cost 10 inf + 57998 0.675 * * [simplify]: Extracting #8: cost 0 inf + 63039 0.688 * [simplify]: Simplified to (sqrt (- 1 (* (* x (* x x)) (* x (* x x))))) 0.688 * [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)))) 0.688 * * * * [progress]: [ 13 / 21 ] simplifiying candidate # 0.688 * [simplify]: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) 0.688 * * [simplify]: iters left: 6 (7 enodes) 0.693 * * [simplify]: iters left: 5 (27 enodes) 0.699 * * [simplify]: iters left: 4 (47 enodes) 0.708 * * [simplify]: iters left: 3 (73 enodes) 0.721 * * [simplify]: iters left: 2 (96 enodes) 0.742 * * [simplify]: iters left: 1 (147 enodes) 0.796 * * [simplify]: Extracting #0: cost 1 inf + 0 0.797 * * [simplify]: Extracting #1: cost 3 inf + 0 0.797 * * [simplify]: Extracting #2: cost 7 inf + 0 0.797 * * [simplify]: Extracting #3: cost 22 inf + 1 0.797 * * [simplify]: Extracting #4: cost 45 inf + 448 0.798 * * [simplify]: Extracting #5: cost 29 inf + 3031 0.800 * * [simplify]: Extracting #6: cost 8 inf + 10819 0.803 * * [simplify]: Extracting #7: cost 1 inf + 12965 0.806 * * [simplify]: Extracting #8: cost 0 inf + 13177 0.808 * [simplify]: Simplified to (sqrt (- 1 (* (* x x) (* x x)))) 0.808 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (/ (sqrt (- 1 (* (* x x) (* x x)))) (sqrt (+ 1 (* x x)))) x)))) 0.809 * * * * [progress]: [ 14 / 21 ] simplifiying candidate # 0.809 * [simplify]: Simplifying (- 1 (* x x)) 0.809 * * [simplify]: iters left: 4 (4 enodes) 0.812 * * [simplify]: iters left: 3 (16 enodes) 0.817 * * [simplify]: iters left: 2 (24 enodes) 0.825 * * [simplify]: iters left: 1 (26 enodes) 0.832 * * [simplify]: Extracting #0: cost 1 inf + 0 0.832 * * [simplify]: Extracting #1: cost 5 inf + 0 0.832 * * [simplify]: Extracting #2: cost 8 inf + 1 0.833 * * [simplify]: Extracting #3: cost 2 inf + 370 0.833 * * [simplify]: Extracting #4: cost 0 inf + 492 0.833 * [simplify]: Simplified to (- 1 (* x x)) 0.833 * [simplify]: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (pow (- 1 (* x x)) (/ 1 2)) x)))) 0.833 * * * * [progress]: [ 15 / 21 ] simplifiying candidate # 0.833 * * * * [progress]: [ 16 / 21 ] simplifiying candidate # 0.834 * [simplify]: Simplifying (sqrt (- 1 (* x x))) 0.834 * * [simplify]: iters left: 5 (5 enodes) 0.837 * * [simplify]: iters left: 4 (19 enodes) 0.843 * * [simplify]: iters left: 3 (27 enodes) 0.852 * * [simplify]: iters left: 2 (29 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 7 inf + 0 0.860 * * [simplify]: Extracting #3: cost 10 inf + 1 0.860 * * [simplify]: Extracting #4: cost 1 inf + 695 0.861 * * [simplify]: Extracting #5: 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]: [ 17 / 21 ] simplifiying candidate # 0.861 * * * * [progress]: [ 18 / 21 ] simplifiying candidate #real (real->posit16 (sqrt (- 1 (* x x))))) x))))> 0.861 * * * * [progress]: [ 19 / 21 ] simplifiying candidate # 0.862 * [simplify]: Simplifying (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) 0.862 * * [simplify]: iters left: 6 (12 enodes) 0.870 * * [simplify]: iters left: 5 (52 enodes) 0.888 * * [simplify]: iters left: 4 (73 enodes) 0.911 * * [simplify]: iters left: 3 (118 enodes) 0.949 * * [simplify]: iters left: 2 (157 enodes) 0.994 * * [simplify]: iters left: 1 (195 enodes) 1.057 * * [simplify]: Extracting #0: cost 1 inf + 0 1.057 * * [simplify]: Extracting #1: cost 16 inf + 0 1.057 * * [simplify]: Extracting #2: cost 51 inf + 2 1.058 * * [simplify]: Extracting #3: cost 42 inf + 1636 1.061 * * [simplify]: Extracting #4: cost 5 inf + 6193 1.064 * * [simplify]: Extracting #5: cost 0 inf + 6727 1.068 * [simplify]: Simplified to (+ (* -1/2 (* x x)) (- 1 (* 1/8 (* (* x x) (* x x))))) 1.068 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (+ (* -1/2 (* x x)) (- 1 (* 1/8 (* (* x x) (* x x))))) x)))) 1.068 * * * * [progress]: [ 20 / 21 ] simplifiying candidate # 1.069 * [simplify]: Simplifying (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1)))) 1.069 * * [simplify]: iters left: 6 (16 enodes) 1.080 * * [simplify]: iters left: 5 (74 enodes) 1.107 * * [simplify]: iters left: 4 (134 enodes) 1.143 * * [simplify]: iters left: 3 (229 enodes) 1.207 * * [simplify]: iters left: 2 (414 enodes) 1.365 * * [simplify]: Extracting #0: cost 1 inf + 0 1.365 * * [simplify]: Extracting #1: cost 8 inf + 0 1.365 * * [simplify]: Extracting #2: cost 116 inf + 0 1.366 * * [simplify]: Extracting #3: cost 251 inf + 46 1.371 * * [simplify]: Extracting #4: cost 227 inf + 5852 1.377 * * [simplify]: Extracting #5: cost 132 inf + 29302 1.393 * * [simplify]: Extracting #6: cost 30 inf + 75712 1.413 * * [simplify]: Extracting #7: cost 0 inf + 90936 1.433 * * [simplify]: Extracting #8: cost 0 inf + 90252 1.452 * [simplify]: Simplified to (+ (* (/ 1 (* (sqrt -1) x)) (+ 1/2 (/ 1/8 (* x x)))) (* (sqrt -1) x)) 1.452 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (+ (* (/ 1 (* (sqrt -1) x)) (+ 1/2 (/ 1/8 (* x x)))) (* (sqrt -1) x)) x)))) 1.452 * * * * [progress]: [ 21 / 21 ] simplifiying candidate # 1.452 * [simplify]: Simplifying (- (+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))) 1.452 * * [simplify]: iters left: 6 (17 enodes) 1.459 * * [simplify]: iters left: 5 (80 enodes) 1.475 * * [simplify]: iters left: 4 (161 enodes) 1.522 * * [simplify]: iters left: 3 (309 enodes) 1.592 * * [simplify]: Extracting #0: cost 1 inf + 0 1.592 * * [simplify]: Extracting #1: cost 17 inf + 0 1.593 * * [simplify]: Extracting #2: cost 85 inf + 0 1.593 * * [simplify]: Extracting #3: cost 146 inf + 172 1.594 * * [simplify]: Extracting #4: cost 114 inf + 4007 1.597 * * [simplify]: Extracting #5: cost 35 inf + 21833 1.605 * * [simplify]: Extracting #6: cost 2 inf + 32855 1.616 * * [simplify]: Extracting #7: cost 0 inf + 33391 1.627 * [simplify]: Simplified to (- (/ -1/2 (* (sqrt -1) x)) (+ (/ (/ 1/8 (* (sqrt -1) x)) (* x x)) (* (sqrt -1) x))) 1.627 * [simplify]: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (- (/ -1/2 (* (sqrt -1) x)) (+ (/ (/ 1/8 (* (sqrt -1) x)) (* x x)) (* (sqrt -1) x))) x)))) 1.627 * * * [progress]: adding candidates to table 1.817 * [progress]: [Phase 3 of 3] Extracting. 1.822 * [simplify]: Simplifying (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 1.822 * * [simplify]: iters left: 6 (9 enodes) 1.823 * * [simplify]: iters left: 5 (12 enodes) 1.824 * * [simplify]: Extracting #0: cost 1 inf + 0 1.824 * * [simplify]: Extracting #1: cost 2 inf + 0 1.824 * * [simplify]: Extracting #2: cost 4 inf + 0 1.824 * * [simplify]: Extracting #3: cost 7 inf + 0 1.824 * * [simplify]: Extracting #4: cost 6 inf + 2 1.824 * * [simplify]: Extracting #5: cost 6 inf + 44 1.824 * * [simplify]: Extracting #6: cost 0 inf + 1005 1.824 * [simplify]: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 6.954 * [regime-testing]: Baseline error score: 0.027019635038035054 6.956 * [regime-testing]: Oracle error score: 0.027019635038035054 6.956 * [regime-testing]: End program error score: 0.027019635038035054