Details

sample48.0ms

Algorithm

intervals

Results

18.0ms

362×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	17
1	34	17
2	80	17
3	208	17
4	385	17
5	480	17
6	564	17
7	709	17
8	929	17
9	1482	17
10	2101	17
11	3196	17
12	4099	17
done	5001	17

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 4.7b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.4b	(* (* y 9.0) z)
7.2b	(* (* (* y 9.0) z) t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
5.0ms	(* (* a 27.0) b)
13.0ms	(* (* y 9.0) z)
8.0ms	(* (* (* y 9.0) z) t)

series54.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
4.0ms	(* (* a 27.0) b)
4.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

simplify637.0ms

Counts

84 → 84

Iterations

Useful iterations: done (635.0ms)

Iter	Nodes	Cost
0	140	981
1	390	964
2	1783	815
done	5000	802

prune144.0ms

Filtered

50 candidates to 84 candidates (-68.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 x) (* 27.0 (* a b)))
0.3b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
7.0b	(* t (* z y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 68

Calls

4 calls:

4.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
7.0ms	(* 9.0 (* t (* z y)))
5.0ms	(* 27.0 (* a b))
10.0ms	(* t (* z y))

series28.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
7.0ms	(* 9.0 (* t (* z y)))
4.0ms	(* 27.0 (* a b))
7.0ms	(* t (* z y))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	117	747
1	317	723
2	1154	594
3	4870	594
done	5000	594

prune121.0ms

Filtered

46 candidates to 80 candidates (-73.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 x) (* 27.0 (* a b)))
0.3b	(* 9.0 (* (* t z) y))
0.3b	(* 27.0 (* a b))
5.7b	(* (* t z) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 68

Calls

4 calls:

4.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
7.0ms	(* 9.0 (* (* t z) y))
5.0ms	(* 27.0 (* a b))
5.0ms	(* (* t z) y)

series32.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
8.0ms	(* 9.0 (* (* t z) y))
8.0ms	(* 27.0 (* a b))
6.0ms	(* (* t z) y)

simplify515.0ms

Counts

80 → 80

Iterations

Useful iterations: done (513.0ms)

Iter	Nodes	Cost
0	122	752
1	336	728
2	1380	603
done	5001	599

prune108.0ms

Filtered

47 candidates to 80 candidates (-70.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 x) (* 27.0 (* a b)))
0.2b	(* 9.0 (* t z))
0.3b	(* 27.0 (* a b))
5.7b	(* (* 9.0 (* t z)) y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 68

Calls

4 calls:

4.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
6.0ms	(* 9.0 (* t z))
5.0ms	(* 27.0 (* a b))
11.0ms	(* (* 9.0 (* t z)) y)

series24.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* 2.0 x) (* 27.0 (* a b)))
4.0ms	(* 9.0 (* t z))
4.0ms	(* 27.0 (* a b))
7.0ms	(* (* 9.0 (* t z)) y)

simplify551.0ms

Counts

80 → 80

Iterations

Useful iterations: done (549.0ms)

Iter	Nodes	Cost
0	123	756
1	337	731
2	1320	610
done	5000	601

prune76.0ms

Filtered

45 candidates to 80 candidates (-77.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 0b

Counts

88 → 8

regimes1.8s

Accuracy

80.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	27	63
1	40	47
done	40	47

end0.0ms

sample1.4s

Algorithm

intervals

Results

586.0ms

11163×

body

valid

Details

sample48.0ms

simplify3.0s

prune4.0ms

localize13.0ms

rewrite34.0ms

series54.0ms

simplify637.0ms

prune144.0ms

localize13.0ms

rewrite28.0ms

series28.0ms

simplify1.5s

prune121.0ms

localize13.0ms

rewrite24.0ms

series32.0ms

simplify515.0ms

prune108.0ms

localize13.0ms

rewrite28.0ms

series24.0ms

simplify551.0ms

prune76.0ms

regimes1.8s

bsearch1.0ms

simplify3.0ms

end0.0ms

sample1.4s

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