Details

sample151.0ms

Algorithm

intervals

Results

87.0ms	84×	body	10240	exit
28.0ms	257×	body	80	valid
8.0ms	7×	body	1280	valid
7.0ms	11×	body	640	valid
3.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	22
1	15
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log1p (exp x)) (* y x))
0.7b	(log1p (exp x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `fma-neg` `prod-diff`
2×	`pow1` `log1p-udef` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `log1p-expm1` `flip--`

Counts

2 → 34

Calls

2 calls:

9.0ms	(- (log1p (exp x)) (* y x))
1.0ms	(log1p (exp x))

series535.0ms

Counts

2 → 6

Calls

2 calls:

483.0ms	(- (log1p (exp x)) (* y x))
52.0ms	(log1p (exp x))

simplify1.5s

Counts

40 → 40

Iterations

Iter	Nodes
done	2002
4	2002
3	1021
2	320
1	128
0	61

prune186.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b	(log1p (exp x))
1.3b	(cbrt (log1p (exp x)))
1.3b	(cbrt (log1p (exp x)))
1.3b	(cbrt (log1p (exp x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`expm1-log1p-u`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log1p-udef` `log1p-expm1`

Counts

4 → 54

Calls

4 calls:

1.0ms	(log1p (exp x))
1.0ms	(cbrt (log1p (exp x)))
1.0ms	(cbrt (log1p (exp x)))
2.0ms	(cbrt (log1p (exp x)))

series789.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(log1p (exp x))
240.0ms	(cbrt (log1p (exp x)))
224.0ms	(cbrt (log1p (exp x)))
257.0ms	(cbrt (log1p (exp x)))

simplify1.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	2005
4	2005
3	980
2	298
1	118
0	60

prune327.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))
0.0b	(fma x (fma x 1/8 1/2) (log 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 33

Calls

2 calls:

8.0ms	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))
0.0ms	(fma x (fma x 1/8 1/2) (log 2))

series108.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))
42.0ms	(fma x (fma x 1/8 1/2) (log 2))

simplify1.4s

Counts

39 → 39

Iterations

Iter	Nodes
done	2003
4	2003
3	1868
2	369
1	132
0	59

prune208.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))
0.0b	(fma x (fma x 1/8 1/2) (log 2))
35.8b	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `remove-posit16` `flip--`

Counts

3 → 43

Calls

3 calls:

7.0ms	(- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))
0.0ms	(fma x (fma x 1/8 1/2) (log 2))
0.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))

series143.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))
38.0ms	(fma x (fma x 1/8 1/2) (log 2))
39.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))

simplify1.5s

Counts

52 → 52

Iterations

Iter	Nodes
done	2002
4	2002
3	1828
2	398
1	143
0	69

prune482.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes92.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.1s	2372×	body	10240	exit
870.0ms	8449×	body	80	valid
488.0ms	269×	body	640	valid
103.0ms	120×	body	1280	valid
61.0ms	189×	body	320	valid
25.0ms	122×	body	160	valid