Details

sample33.0ms

Algorithm

intervals

Results

15.0ms	235×	body	80	valid
3.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	2×	body	2560	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify78.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	58
7	58
6	56
5	51
4	45
3	38
2	25
1	12
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 21

Calls

1 calls:

8.0ms

(- x (* (/ 3.0 8.0) y))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.8s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
4	4563
3	1312
2	361
1	109
0	46

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

28.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

376.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
364.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
380.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
346.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5004
3	1943
2	678
1	266
0	125

prune554.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 73

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.7s

Counts

4 → 12

Calls

4 calls:

454.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
435.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
477.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
382.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5006
3	1540
2	509
1	204
0	101

prune744.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
20×	`cbrt-prod`
14×	`flip3--` `flip--`
8×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 78

Calls

4 calls:

7.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
15.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
17.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

464.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
413.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
392.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
410.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify1.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5003
3	1563
2	542
1	234
0	131

prune699.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes299.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

522.0ms	219×	body	1280	valid
516.0ms	7386×	body	80	valid
42.0ms	175×	body	640	valid
33.0ms	94×	body	2560	valid
16.0ms	89×	body	320	valid
5.0ms	37×	body	160	valid