Details

sample55.0ms

Algorithm

intervals

Results

24.0ms	57×	body	1280	valid
12.0ms	58×	body	640	valid
3.0ms	27×	body	320	valid
3.0ms	98×	body	80	valid
2.0ms	84×	body	80	nan
1.0ms	16×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune2.0ms

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: 37.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.7b	(log (+ 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify641.0ms

Counts

18 → 18

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	60	182
1	129	173
2	352	151
3	882	151
4	2288	151
done	5000	151

prune52.0ms

Filtered

14 candidates to 18 candidates (-28.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	13	5	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	5	19

Merged error: 0.1b

Counts

19 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow x 2)
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
72×	`add-sqr-sqrt`
68×	`associate-r`
59×	`unpow-prod-down`
38×	`add-cube-cbrt` `*-un-lft-identity`
26×	`add-exp-log`
25×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
5×	`pow1`
3×	`pow-unpow` `associate-l`
2×	`cbrt-unprod` `add-log-exp`
1×	`cbrt-undiv` `pow-pow` `associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 128

Calls

2 calls:

2.0ms	(pow x 2)
26.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(pow x 2)
6.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify550.0ms

Counts

134 → 134

Iterations

Useful iterations: done (546.0ms)

Iter	Nodes	Cost
0	231	1591
1	557	1395
2	1751	1077
done	5000	1075

prune234.0ms

Filtered

82 candidates to 134 candidates (-63.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	134	5	139

Merged error: 0.1b

Counts

139 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
5.8b	(log (sqrt (+ 1.0 x)))
5.8b	(log (sqrt (+ 1.0 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
7.0ms	(log (sqrt (+ 1.0 x)))
7.0ms	(log (sqrt (+ 1.0 x)))

simplify669.0ms

Counts

84 → 84

Iterations

Useful iterations: 3 (216.0ms)

Iter	Nodes	Cost
0	119	1012
1	265	954
2	819	894
3	2651	878
done	5000	878

prune185.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.1b

Counts

89 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (log (sqrt (+ 1.0 x))) 3))
0.3b	(pow (log (sqrt (+ 1.0 x))) 3)
5.8b	(log (sqrt (+ 1.0 x)))
5.8b	(log (sqrt (+ 1.0 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod` `*-un-lft-identity` `log-pow`
17×	`pow1`
14×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
12×	`unpow-prod-down` `cube-prod`
8×	`sqrt-prod`
7×	`add-exp-log`
6×	`sqrt-pow1` `pow1/2`
5×	`add-cbrt-cube`
4×	`log-div` `sqrt-div` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `flip3-+` `unpow3` `rem-log-exp` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 96

Calls

4 calls:

4.0ms	(cbrt (pow (log (sqrt (+ 1.0 x))) 3))
4.0ms	(pow (log (sqrt (+ 1.0 x))) 3)
4.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (+ 1.0 x)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt (pow (log (sqrt (+ 1.0 x))) 3))
17.0ms	(pow (log (sqrt (+ 1.0 x))) 3)
6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

simplify659.0ms

Counts

108 → 108

Iterations

Useful iterations: done (656.0ms)

Iter	Nodes	Cost
0	189	1665
1	466	1471
2	1626	1314
done	5000	1309

prune219.0ms

Filtered

65 candidates to 108 candidates (-66.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Merged error: 0.1b

Counts

114 → 6

regimes167.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	33
1	23	33
done	23	33

end0.0ms

sample1.8s

Algorithm

intervals

Results

953.0ms	2302×	body	1280	valid
348.0ms	1663×	body	640	valid
90.0ms	818×	body	320	valid
77.0ms	2781×	body	80	valid
56.0ms	2671×	body	80	nan
30.0ms	436×	body	160	valid

Details

sample55.0ms

simplify2.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series3.0ms

simplify641.0ms

prune52.0ms

localize11.0ms

rewrite36.0ms

series9.0ms

simplify550.0ms

prune234.0ms

localize6.0ms

rewrite18.0ms

series21.0ms

simplify669.0ms

prune185.0ms

localize9.0ms

rewrite20.0ms

series37.0ms

simplify659.0ms

prune219.0ms

regimes167.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling