Details

sample92.0ms

Algorithm

intervals

Results

22.0ms	121×	body	320	valid
16.0ms	529×	pre	80	true
15.0ms	273×	body	80	nan
10.0ms	93×	body	160	valid
3.0ms	15×	body	640	valid
1.0ms	27×	body	80	valid

simplify40.0ms

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

prune10.0ms

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)

rewrite32.0ms

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))
12.0ms	(/ (- (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)

series60.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (* 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)
16.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify481.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	154	1460
1	406	1388
2	1613	1224
done	5001	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))

rewrite25.0ms

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))

series20.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (* a c) b)
9.0ms	(* -1.5 (/ (* a c) b))
5.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify662.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	123	1086
1	388	1045
2	2139	761
done	5000	761

prune135.0ms

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))))

rewrite43.0ms

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)
7.0ms	(/ a (/ (* a c) b))
13.0ms	(* 3.0 (/ a (/ (* a c) b)))
12.0ms	(/ -1.5 (* 3.0 (/ a (/ (* a c) b))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (* 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))))

simplify492.0ms

Counts

158 → 158

Iterations

Useful iterations: done (489.0ms)

Iter	Nodes	Cost
0	210	1957
1	560	1871
2	2336	1325
done	5001	1323

prune147.0ms

Filtered

113 candidates to 158 candidates (-39.8%)

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

regimes487.0ms

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

sample2.6s

Algorithm

intervals

Results

583.0ms	3643×	body	320	valid
479.0ms	16128×	pre	80	true
460.0ms	8128×	body	80	nan
321.0ms	2951×	body	160	valid
104.0ms	498×	body	640	valid
52.0ms	908×	body	80	valid

Details

sample92.0ms

simplify40.0ms

prune10.0ms

localize10.0ms

rewrite32.0ms

series60.0ms

simplify481.0ms

prune187.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune36.0ms

localize8.0ms

rewrite25.0ms

series20.0ms

simplify662.0ms

prune135.0ms

localize8.0ms

rewrite43.0ms

series21.0ms

simplify492.0ms

prune147.0ms

regimes487.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

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