0.559 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.243 * * * [progress]: [2/2] Setting up program. 0.251 * [progress]: [Phase 2 of 3] Improving. 0.287 * [simplify]: Simplifying: (* 0.5 (- (* x x) y)) 0.289 * * [simplify]: iteration 0: 6 enodes 0.298 * * [simplify]: iteration 1: 10 enodes 0.302 * * [simplify]: iteration 2: 17 enodes 0.309 * * [simplify]: iteration 3: 29 enodes 0.319 * * [simplify]: iteration 4: 40 enodes 0.331 * * [simplify]: iteration 5: 42 enodes 0.375 * * [simplify]: iteration complete: 42 enodes 0.376 * * [simplify]: Extracting #0: cost 1 inf + 0 0.376 * * [simplify]: Extracting #1: cost 12 inf + 0 0.377 * * [simplify]: Extracting #2: cost 8 inf + 44 0.378 * * [simplify]: Extracting #3: cost 0 inf + 579 0.379 * [simplify]: Simplified to: (* (- (* x x) y) 0.5) 0.382 * * [progress]: iteration 1 / 4 0.383 * * * [progress]: picking best candidate 0.392 * * * * [pick]: Picked # 0.392 * * * [progress]: localizing error 0.436 * * * [progress]: generating rewritten candidates 0.436 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.449 * * * [progress]: generating series expansions 0.449 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.455 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 0.456 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.457 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [backup-simplify]: Simplify x into x 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [backup-simplify]: Simplify y into y 0.458 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [backup-simplify]: Simplify y into y 0.459 * [backup-simplify]: Simplify (- y) into (- y) 0.459 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.459 * [taylor]: Taking taylor expansion of (- y) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.462 * [backup-simplify]: Simplify -1 into -1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 1 0) into 1 0.463 * [taylor]: Taking taylor expansion of 1 in y 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 0.467 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.467 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [backup-simplify]: Simplify x into x 0.468 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.468 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.470 * [backup-simplify]: Simplify y into y 0.470 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [backup-simplify]: Simplify y into y 0.471 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.471 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [taylor]: Taking taylor expansion of 1 in y 0.471 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.476 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (- 1) into -1 0.477 * [backup-simplify]: Simplify -1 into -1 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 0.488 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.488 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [backup-simplify]: Simplify x into x 0.488 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.489 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [backup-simplify]: Simplify y into y 0.490 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [backup-simplify]: Simplify y into y 0.491 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [taylor]: Taking taylor expansion of 1 in y 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 0.502 * * * [progress]: simplifying candidates 0.504 * [simplify]: Simplifying: (fma x x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma x x (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma x x (- (* y 1))) (fma (- y) 1 (* y 1)) (expm1 (- (* x x) y)) (log1p (- (* x x) y)) (- y) (/ (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) 0.504 * * [simplify]: iteration 0: 51 enodes 0.528 * * [simplify]: iteration 1: 136 enodes 0.633 * * [simplify]: iteration 2: 567 enodes 1.946 * * [simplify]: iteration 3: 4365 enodes 3.724 * * [simplify]: iteration complete: 5000 enodes 3.724 * * [simplify]: Extracting #0: cost 17 inf + 0 3.725 * * [simplify]: Extracting #1: cost 622 inf + 0 3.732 * * [simplify]: Extracting #2: cost 1125 inf + 25144 3.764 * * [simplify]: Extracting #3: cost 212 inf + 147263 3.818 * * [simplify]: Extracting #4: cost 43 inf + 174388 3.879 * * [simplify]: Extracting #5: cost 3 inf + 187622 3.926 * * [simplify]: Extracting #6: cost 0 inf + 188528 4.000 * [simplify]: Simplified to: (- (* x x) y) (- y y) (- (* x x) y) (- y y) (- (* x x) y) (- y y) (expm1 (- (* x x) y)) (log1p (- (* x x) y)) (- y) (exp (- (* x x) 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)) (- (* (* (* x x) (* x x)) (* x x)) (* (* y y) y)) (fma y (+ (* x x) y) (* (* x x) (* x x))) (- y) (* (+ (* x x) y) (- (* x x) y)) (fma x x y) (+ (sqrt y) x) (- x (sqrt y)) (- y) (- (* x x) y) (- (* x x) y) (- (* x x) y) 4.003 * * * [progress]: adding candidates to table 4.106 * * [progress]: iteration 2 / 4 4.106 * * * [progress]: picking best candidate 4.109 * * * * [pick]: Picked # 4.109 * * * [progress]: localizing error 4.117 * * * [progress]: generating rewritten candidates 4.117 * * * [progress]: generating series expansions 4.117 * * * [progress]: simplifying candidates 4.117 * [simplify]: Simplifying: 4.117 * * [simplify]: iteration 0: 0 enodes 4.117 * * [simplify]: iteration complete: 0 enodes 4.117 * * [simplify]: Extracting #0: cost 0 inf + 0 4.117 * [simplify]: Simplified to: 4.117 * * * [progress]: adding candidates to table 4.118 * [progress]: [Phase 3 of 3] Extracting. 4.123 * [simplify]: Simplifying: (* 0.5 (fma x x (- y))) 4.123 * * [simplify]: iteration 0: 6 enodes 4.124 * * [simplify]: iteration 1: 7 enodes 4.124 * * [simplify]: iteration complete: 7 enodes 4.124 * * [simplify]: Extracting #0: cost 1 inf + 0 4.124 * * [simplify]: Extracting #1: cost 3 inf + 0 4.124 * * [simplify]: Extracting #2: cost 4 inf + 1 4.124 * * [simplify]: Extracting #3: cost 4 inf + 2 4.125 * * [simplify]: Extracting #4: cost 0 inf + 279 4.125 * [simplify]: Simplified to: (* (fma x x (- y)) 0.5) 5.433 * [regime-testing]: Baseline error score: 0.008126015751968996 5.450 * [regime-testing]: Oracle error score: 0.008126015751968996 5.450 * [regime-testing]: End program error score: 0.008126015751968996