Details

sample89.0ms

Algorithm

intervals

Results

21.0ms	121×	body	320	valid
16.0ms	529×	pre	80	true
14.0ms	273×	body	80	nan
9.0ms	93×	body	160	valid
3.0ms	15×	body	640	valid
1.0ms	27×	body	80	valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	87	16
5	95	16
done	95	16

prune9.0ms

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)
7.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series60.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
30.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
4.0ms	(* (* 3.0 a) c)
17.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify942.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	154	1460
1	400	1388
2	1573	1224
done	5001	1224

prune184.0ms

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

prune35.0ms

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))

rewrite26.0ms

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))
11.0ms	(/ (* -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))
6.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify970.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (203.0ms)

Iter	Nodes	Cost
0	123	1086
1	377	1045
2	1876	761
done	5000	761

prune128.0ms

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 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

70×	`times-frac`
52×	`add-exp-log` `add-cbrt-cube`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
26×	`associate-r`
22×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
11×	`associate-/r*` `div-inv`
7×	`associate-/l*`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/r/`
2×	`associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 146

Calls

4 calls:

5.0ms	(/ (* a c) b)
6.0ms	(/ a (/ (* a c) b))
12.0ms	(* 3.0 (/ a (/ (* a c) b)))
10.0ms	(/ -1.5 (* 3.0 (/ a (/ (* a c) b))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ (* a c) b)
4.0ms	(/ a (/ (* a c) b))
6.0ms	(* 3.0 (/ a (/ (* a c) b)))
5.0ms	(/ -1.5 (* 3.0 (/ a (/ (* a c) b))))

simplify853.0ms

Counts

158 → 158

Iterations

Useful iterations: done (849.0ms)

Iter	Nodes	Cost
0	210	1957
1	550	1871
2	1991	1325
done	5000	1323

prune146.0ms

Filtered

115 candidates to 158 candidates (-37.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	148	10	158
Fresh	4	10	14
Picked	1	0	1
Done	0	1	1
Total	153	21	174

Merged error: 2.2b

Counts

174 → 21

regimes477.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.6b 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

sample2.5s

Algorithm

intervals

Results

557.0ms	3643×	body	320	valid
467.0ms	16128×	pre	80	true
412.0ms	8128×	body	80	nan
306.0ms	2951×	body	160	valid
98.0ms	498×	body	640	valid
46.0ms	908×	body	80	valid

Details

sample89.0ms

simplify51.0ms

prune9.0ms

localize10.0ms

rewrite31.0ms

series60.0ms

simplify942.0ms

prune184.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune35.0ms

localize8.0ms

rewrite26.0ms

series17.0ms

simplify970.0ms

prune128.0ms

localize8.0ms

rewrite39.0ms

series23.0ms

simplify853.0ms

prune146.0ms

regimes477.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

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