Details

sample92.0ms

Algorithm

intervals

Results

19.0ms	121×	body	320	valid
15.0ms	529×	pre	80	true
14.0ms	273×	body	80	nan
10.0ms	93×	body	160	valid
3.0ms	15×	body	640	valid
1.0ms	27×	body	80	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	90	16
5	98	16
done	98	16

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 53.9b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
26.7b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
11.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
8.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series61.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* b b) (* (* 3.0 a) c))
28.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
4.0ms	(* (* 3.0 a) c)
19.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify590.0ms

Counts

87 → 87

Iterations

Useful iterations: done (588.0ms)

Iter	Nodes	Cost
0	154	1460
1	406	1392
2	1706	1236
done	5000	1224

prune187.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	77	10	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	10	88

Merged error: 2.3b

Counts

88 → 10

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune36.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	9	9
Picked	1	1
Done	0	0
Total	10	10

Merged error: 2.3b

Counts

10 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

5.0ms	(/ (* a c) b)
7.0ms	(* -1.5 (/ (* a c) b))
10.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series17.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (* a c) b)
6.0ms	(* -1.5 (/ (* a c) b))
5.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify733.0ms

Counts

87 → 87

Iterations

Useful iterations: done (726.0ms)

Iter	Nodes	Cost
0	123	1086
1	388	1077
2	2169	822
done	5000	761

prune137.0ms

Filtered

48 candidates to 87 candidates (-81.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	81	16	97

Merged error: 2.2b

Counts

97 → 16

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -1.5 (* a (/ c b)))
0.3b	(* a (/ c b))
0.4b	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

3 → 83

Calls

3 calls:

7.0ms	(* -1.5 (* a (/ c b)))
7.0ms	(* a (/ c b))
11.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series17.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* -1.5 (* a (/ c b)))
5.0ms	(* a (/ c b))
5.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify702.0ms

Counts

92 → 92

Iterations

Useful iterations: done (699.0ms)

Iter	Nodes	Cost
0	139	1118
1	424	1098
2	2380	849
done	5000	811

prune77.0ms

Filtered

57 candidates to 92 candidates (-61.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	90	18	108

Merged error: 2.2b

Counts

108 → 18

regimes445.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.6s

Algorithm

intervals

Results

576.0ms	3643×	body	320	valid
475.0ms	16128×	pre	80	true
457.0ms	8128×	body	80	nan
311.0ms	2951×	body	160	valid
102.0ms	498×	body	640	valid
52.0ms	908×	body	80	valid

Details

sample92.0ms

simplify43.0ms

prune8.0ms

localize10.0ms

rewrite31.0ms

series61.0ms

simplify590.0ms

prune187.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune36.0ms

localize8.0ms

rewrite27.0ms

series17.0ms

simplify733.0ms

prune137.0ms

localize8.0ms

rewrite28.0ms

series17.0ms

simplify702.0ms

prune77.0ms

regimes445.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

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