Details

sample61.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
13.0ms	232×	body	80	nan

simplify101.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	65
4	65
3	61
2	43
1	22
0	11

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.9b

localize25.0ms

Local error

Found 2 expressions with local error:

1.5b	(fma (+ x y) z (* y x))
19.7b	(sqrt (fma (+ x y) z (* y x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

2 → 27

Calls

2 calls:

1.0ms	(fma (+ x y) z (* y x))
3.0ms	(sqrt (fma (+ x y) z (* y x)))

series299.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma (+ x y) z (* y x))
231.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify5.2s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
4	3305
3	707
2	230
1	107
0	53

prune551.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 20.8b

localize79.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (+ x y) z (* y x))
1.5b	(fma (+ x y) z (* y x))
19.7b	(sqrt (fma (+ x y) z (* y x)))
19.7b	(sqrt (fma (+ x y) z (* y x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 54

Calls

4 calls:

1.0ms	(fma (+ x y) z (* y x))
1.0ms	(fma (+ x y) z (* y x))
3.0ms	(sqrt (fma (+ x y) z (* y x)))
3.0ms	(sqrt (fma (+ x y) z (* y x)))

series627.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(fma (+ x y) z (* y x))
58.0ms	(fma (+ x y) z (* y x))
250.0ms	(sqrt (fma (+ x y) z (* y x)))
262.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify5.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
4	3305
3	707
2	230
1	107
0	53

prune974.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 20.8b

localize202.0ms

Local error

Found 4 expressions with local error:

19.7b	(sqrt (fma (+ x y) z (* y x)))
20.3b	(cbrt (fma (+ x y) z (* y x)))
20.3b	(cbrt (fma (+ x y) z (* y x)))
20.3b	(cbrt (fma (+ x y) z (* y x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt (fma (+ x y) z (* y x)))
4.0ms	(cbrt (fma (+ x y) z (* y x)))
4.0ms	(cbrt (fma (+ x y) z (* y x)))
4.0ms	(cbrt (fma (+ x y) z (* y x)))

series2.3s

Counts

4 → 12

Calls

4 calls:

220.0ms	(sqrt (fma (+ x y) z (* y x)))
708.0ms	(cbrt (fma (+ x y) z (* y x)))
742.0ms	(cbrt (fma (+ x y) z (* y x)))
627.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify4.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
4	1996
3	782
2	318
1	157
0	73

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 20.8b

localize255.0ms

Local error

Found 4 expressions with local error:

20.3b	(cbrt (fma (+ x y) z (* y x)))
20.3b	(cbrt (fma (+ x y) z (* y x)))
20.3b	(cbrt (fma (+ x y) z (* y x)))
20.3b	(cbrt (fma (+ x y) z (* y x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (fma (+ x y) z (* y x)))
2.0ms	(cbrt (fma (+ x y) z (* y x)))
2.0ms	(cbrt (fma (+ x y) z (* y x)))
2.0ms	(cbrt (fma (+ x y) z (* y x)))

series2.6s

Counts

4 → 12

Calls

4 calls:

595.0ms	(cbrt (fma (+ x y) z (* y x)))
684.0ms	(cbrt (fma (+ x y) z (* y x)))
611.0ms	(cbrt (fma (+ x y) z (* y x)))
704.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify4.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
5	2828
4	956
3	389
2	167
1	89
0	44

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 20.8b

regimes713.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.6b and baseline of 19.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	8040×	body	80	nan
614.0ms	8000×	body	80	valid