Details

sample138.0ms

Algorithm

intervals

Results

76.0ms	70×	body	10240	exit
32.0ms	274×	body	80	valid
6.0ms	9×	body	640	valid
4.0ms	3×	body	1280	valid
2.0ms	5×	body	320	valid
2.0ms	7×	body	160	valid

simplify62.0ms

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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:

Slowest

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

series157.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

81.0ms	(log1p (exp x))
76.0ms	(- (log1p (exp x)) (* y x))

simplify2.3s

Counts: 40 → 40

prune715.0ms

Pruning

3 alts after pruning (2 fresh and 1 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))

rewrite5.0ms

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:

Slowest

5.0ms	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))
0.0ms	(fma x (fma x 1/8 1/2) (log 2))

series116.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

63.0ms	(- (fma x (fma x 1/8 1/2) (log 2)) (* y x))
52.0ms	(fma x (fma x 1/8 1/2) (log 2))

simplify3.9s

Counts: 39 → 39

prune450.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 3 expressions with local error:

38.1b	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))
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))

rewrite10.0ms

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:

Slowest

9.0ms	(- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))
0.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))
0.0ms	(fma x (fma x 1/8 1/2) (log 2))

series156.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

78.0ms	(- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x))
41.0ms	(fma x (fma x 1/8 1/2) (log 2))
37.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))

simplify2.4s

Counts: 52 → 52

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

38.1b	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))
38.1b	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))
38.1b	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))
7.9b	(cbrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `remove-posit16`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 49

Calls

4 calls:

Slowest

3.0ms	(cbrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))
0.0ms	(posit16->real (real->posit16 (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))))
0.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

360.0ms	(cbrt (- (posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2)))) (* y x)))
59.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))
51.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))
45.0ms	(posit16->real (real->posit16 (fma x (fma x 1/8 1/2) (log 2))))

simplify1.5s

Counts: 61 → 61

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes100.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch1.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.7s	2526×	body	10240	exit
889.0ms	8408×	body	80	valid
141.0ms	241×	body	640	valid
127.0ms	141×	body	1280	valid
69.0ms	203×	body	320	valid
23.0ms	114×	body	160	valid