Details

sample89.0ms

Algorithm

intervals

Results

20.0ms	297×	body	80	nan
17.0ms	156×	body	160	valid
16.0ms	553×	pre	80	true
8.0ms	53×	body	320	valid
3.0ms	47×	body	80	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	17
1	24	17
2	44	16
3	79	16
4	92	16
5	100	16
done	100	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: 44.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.1b	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
39.4b	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/l*`
16×	`sqrt-prod`
13×	`distribute-lft-out--`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `div-inv`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r*` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `div-sub`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 149

Calls

4 calls:

4.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms	(- (* b b) (* (* 4.0 a) c))
13.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
8.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series69.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms	(- (* b b) (* (* 4.0 a) c))
28.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
17.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify583.0ms

Counts

161 → 161

Iterations

Useful iterations: done (576.0ms)

Iter	Nodes	Cost
0	277	4079
1	660	3918
2	2223	3764
done	5001	3756

prune381.0ms

Filtered

115 candidates to 161 candidates (-40.0%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	147	14	161
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	14	162

Merged error: 5.4b

Counts

162 → 14

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

prune55.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Merged error: 5.4b

Counts

14 → 14

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
0.3b	(/ (* a c) b)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
27×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
6×	`associate-/r*` `div-inv`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 73

Calls

2 calls:

10.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
5.0ms	(/ (* a c) b)

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
5.0ms	(/ (* a c) b)

simplify622.0ms

Counts

79 → 79

Iterations

Useful iterations: done (620.0ms)

Iter	Nodes	Cost
0	167	1164
1	455	1136
2	2101	997
done	5000	956

prune193.0ms

Filtered

54 candidates to 79 candidates (-46.3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	65	14	79
Fresh	0	12	12
Picked	1	0	1
Done	0	1	1
Total	66	27	93

Merged error: 5.3b

Counts

93 → 27

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
0.3b	(* a (/ c b))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 84

Calls

2 calls:

11.0ms	(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
7.0ms	(* a (/ c b))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
5.0ms	(* a (/ c b))

simplify700.0ms

Counts

90 → 90

Iterations

Useful iterations: done (697.0ms)

Iter	Nodes	Cost
0	185	1255
1	503	1219
2	2322	1080
done	5001	1050

prune106.0ms

Filtered

66 candidates to 90 candidates (-36.4%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	7	18	25
Picked	1	0	1
Done	0	1	1
Total	88	29	117

Merged error: 5.3b

Counts

117 → 29

regimes513.0ms

Accuracy

16.8% (5.8b remaining)

Error of 10.9b against oracle of 5.2b and baseline of 12.1b

bsearch30.0ms

Steps

Iters	Range		Point
5	0.0025558239715015338	0.00766766169891012	0.0026063104070945574

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	39
1	27	39
done	27	39

end0.0ms

sample2.4s

Algorithm

intervals

Results

526.0ms	4835×	body	160	valid
470.0ms	16232×	pre	80	true
444.0ms	8232×	body	80	nan
215.0ms	1353×	body	320	valid
98.0ms	1812×	body	80	valid

Details

sample89.0ms

simplify44.0ms

prune8.0ms

localize11.0ms

rewrite40.0ms

series69.0ms

simplify583.0ms

prune381.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune55.0ms

localize8.0ms

rewrite19.0ms

series13.0ms

simplify622.0ms

prune193.0ms

localize8.0ms

rewrite21.0ms

series11.0ms

simplify700.0ms

prune106.0ms

regimes513.0ms

bsearch30.0ms

simplify2.0ms

end0.0ms

sample2.4s

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