1.219 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.149 * * * [progress]: [2/2] Setting up program. 0.157 * [progress]: [Phase 2 of 3] Improving. 0.160 * [simplify]: Simplifying: (* 0.5 (- (* x x) y)) 0.161 * * [simplify]: iteration 0: 6 enodes 0.167 * * [simplify]: iteration 1: 9 enodes 0.169 * * [simplify]: iteration 2: 16 enodes 0.175 * * [simplify]: iteration 3: 26 enodes 0.183 * * [simplify]: iteration 4: 33 enodes 0.190 * * [simplify]: iteration complete: 33 enodes 0.191 * * [simplify]: Extracting #0: cost 1 inf + 0 0.191 * * [simplify]: Extracting #1: cost 6 inf + 0 0.191 * * [simplify]: Extracting #2: cost 11 inf + 1 0.192 * * [simplify]: Extracting #3: cost 4 inf + 18 0.192 * * [simplify]: Extracting #4: cost 0 inf + 37 0.192 * [simplify]: Simplified to: (* (- (* x x) y) 0.5) 0.234 * * [progress]: iteration 1 / 4 0.234 * * * [progress]: picking best candidate 0.237 * * * * [pick]: Picked # 0.237 * * * [progress]: localizing error 0.256 * * * [progress]: generating rewritten candidates 0.256 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.275 * * * [progress]: generating series expansions 0.275 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.283 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 0.283 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [backup-simplify]: Simplify x into x 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.285 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.285 * [backup-simplify]: Simplify (- y) into (- y) 0.286 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.286 * [taylor]: Taking taylor expansion of (- y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify -1 into -1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 0.292 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.292 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [backup-simplify]: Simplify x into x 0.292 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.292 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [backup-simplify]: Simplify y into y 0.293 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [taylor]: Taking taylor expansion of 1 in y 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.297 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.297 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (- 1) into -1 0.298 * [backup-simplify]: Simplify -1 into -1 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 0.307 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.307 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [backup-simplify]: Simplify x into x 0.307 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.307 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [backup-simplify]: Simplify y into y 0.310 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [taylor]: Taking taylor expansion of 1 in y 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 0.322 * * * [progress]: simplifying candidates 0.323 * [simplify]: Simplifying: (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.323 * * [simplify]: iteration 0: 32 enodes 0.333 * * [simplify]: iteration 1: 87 enodes 0.383 * * [simplify]: iteration 2: 309 enodes 0.881 * * [simplify]: iteration 3: 1610 enodes 1.337 * * [simplify]: iteration complete: 5002 enodes 1.338 * * [simplify]: Extracting #0: cost 14 inf + 0 1.338 * * [simplify]: Extracting #1: cost 100 inf + 0 1.340 * * [simplify]: Extracting #2: cost 1587 inf + 13 1.346 * * [simplify]: Extracting #3: cost 1256 inf + 4386 1.353 * * [simplify]: Extracting #4: cost 271 inf + 9850 1.366 * * [simplify]: Extracting #5: cost 135 inf + 10825 1.372 * * [simplify]: Extracting #6: cost 28 inf + 11350 1.379 * * [simplify]: Extracting #7: cost 0 inf + 11512 1.385 * [simplify]: Simplified to: (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow x 6) (pow y 3)) (+ (pow x 4) (* y (+ (* x x) y))) (- y) (- (pow x 4) (* y y)) (+ (* x x) y) (+ (sqrt y) x) (- x (sqrt y)) (- y) (- (* x x) y) (- (* x x) y) (- (* x x) y) 1.385 * * * [progress]: adding candidates to table 1.441 * [progress]: [Phase 3 of 3] Extracting. 1.444 * [simplify]: Simplifying: (* (- (* x x) y) 0.5) 1.444 * * [simplify]: iteration 0: 6 enodes 1.445 * * [simplify]: iteration 1: 7 enodes 1.445 * * [simplify]: iteration complete: 7 enodes 1.445 * * [simplify]: Extracting #0: cost 1 inf + 0 1.445 * * [simplify]: Extracting #1: cost 3 inf + 0 1.445 * * [simplify]: Extracting #2: cost 4 inf + 1 1.445 * * [simplify]: Extracting #3: cost 4 inf + 2 1.445 * * [simplify]: Extracting #4: cost 3 inf + 3 1.445 * * [simplify]: Extracting #5: cost 0 inf + 18 1.445 * [simplify]: Simplified to: (* (- (* x x) y) 0.5) 2.619 * [regime-testing]: Baseline error score: 0.021380468535195457 2.623 * [regime-testing]: Oracle error score: 0.021380468535195457 2.624 * [regime-testing]: End program error score: 0.021380468535195457