Details

sample85.0ms

Algorithm

intervals

Results

50.0ms	82×	body	1280	valid
13.0ms	46×	body	640	valid
4.0ms	28×	body	320	valid
3.0ms	88×	body	80	valid
2.0ms	99×	body	80	nan
2.0ms	12×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize5.0ms

Local error

Found 1 expressions with local error:

3.8b	(log (+ 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

4.0ms

(log (+ 1.0 x))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(log (+ 1.0 x))

simplify1.5s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	1662
2	419
1	131
0	60

prune134.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune13.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

3.8b	(log (+ x 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

8.0ms

(log (+ x 1.0))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(log (+ x 1.0))

simplify1.3s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	1711
2	430
1	131
0	61

prune95.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(sqrt (+ x 1.0))
3.8b	(log (sqrt (+ x 1.0)))
3.8b	(log (sqrt (+ x 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`log-prod`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp` `hypot-def`

Counts

4 → 82

Calls

4 calls:

11.0ms	(sqrt (+ x 1.0))
6.0ms	(sqrt (+ x 1.0))
5.0ms	(log (sqrt (+ x 1.0)))
5.0ms	(log (sqrt (+ x 1.0)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ x 1.0))
52.0ms	(sqrt (+ x 1.0))
126.0ms	(log (sqrt (+ x 1.0)))
125.0ms	(log (sqrt (+ x 1.0)))

simplify1.8s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	3480
2	651
1	191
0	93

prune315.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch56.0ms

Steps

Iters	Range		Point
11	3.4817375791661903e-26	4.9803363081918155	6.0212587856537e-06

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	2255×	body	1280	valid
454.0ms	1724×	body	640	valid
318.0ms	2657×	body	80	nan
175.0ms	835×	body	320	valid
84.0ms	2780×	body	80	valid
77.0ms	406×	body	160	valid