Details

sample117.0ms

Algorithm

intervals

Results

57.0ms	60×	body	10240	exit
26.0ms	261×	body	80	valid
9.0ms	8×	body	1280	valid
6.0ms	9×	body	640	valid
2.0ms	6×	body	320	valid
1.0ms	4×	body	160	valid

simplify15.0ms

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: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log1p (exp x)) (* y x))
0.2b	(log1p (exp x))

rewrite7.0ms

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:

6.0ms	(- (log1p (exp x)) (* y x))
0.0ms	(log1p (exp x))

series162.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(- (log1p (exp x)) (* y x))
93.0ms	(log1p (exp x))

simplify1.3s

Counts

40 → 40

Iterations

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

prune158.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log1p (exp x)) (* y x))
0.0b	(log1p (- (log1p (exp x)) (* y x)))
0.2b	(log1p (exp x))
1.0b	(expm1 (log1p (- (log1p (exp x)) (* y x))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(- (log1p (exp x)) (* y x))
0.0ms	(log1p (- (log1p (exp x)) (* y x)))
0.0ms	(log1p (exp x))
0.0ms	(expm1 (log1p (- (log1p (exp x)) (* y x))))

series713.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (log1p (exp x)) (* y x))
265.0ms	(log1p (- (log1p (exp x)) (* y x)))
85.0ms	(log1p (exp x))
304.0ms	(expm1 (log1p (- (log1p (exp x)) (* y x))))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	2006
3	2006
2	1231
1	385
0	152

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

0.0ms	(fma x (fma x 1/8 1/2) (log 2))
10.0ms	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))

series116.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma x (fma x 1/8 1/2) (log 2))
83.0ms	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))

simplify1.3s

Counts

39 → 39

Iterations

Iter	Nodes
done	2027
4	2027
3	1794
2	357
1	131
0	59

prune157.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

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

sample3.8s

Algorithm

intervals

Results

2.4s	2465×	body	10240	exit
817.0ms	8375×	body	80	valid
160.0ms	279×	body	640	valid
99.0ms	126×	body	1280	valid
54.0ms	173×	body	320	valid
22.0ms	112×	body	160	valid