Details

sample52.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
15.0ms	252×	body	80	nan

simplify66.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	70
5	70
4	69
3	64
2	44
1	22
0	11

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.8b	(fma (+ x y) z (* y x))
17.2b	(sqrt (fma (+ x y) z (* y x)))

rewrite2.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

2 → 25

Calls

2 calls:

0.0ms	(fma (+ x y) z (* y x))
1.0ms	(sqrt (fma (+ x y) z (* y x)))

series215.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma (+ x y) z (* y x))
164.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify717.0ms

Counts

31 → 31

Iterations

Iter	Nodes
done	5002
3	1223
2	247
1	105
0	51

prune215.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma z (+ x y) (* y x))
0.8b	(fma z (+ x y) (* y x))
17.2b	(sqrt (fma z (+ x y) (* y x)))
17.2b	(sqrt (fma z (+ x y) (* y x)))

rewrite5.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(fma z (+ x y) (* y x))
0.0ms	(fma z (+ x y) (* y x))
1.0ms	(sqrt (fma z (+ x y) (* y x)))
2.0ms	(sqrt (fma z (+ x y) (* y x)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma z (+ x y) (* y x))
31.0ms	(fma z (+ x y) (* y x))
183.0ms	(sqrt (fma z (+ x y) (* y x)))
185.0ms	(sqrt (fma z (+ x y) (* y x)))

simplify811.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	1440
2	269
1	114
0	53

prune570.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma z (+ x y) (* y x))
0.8b	(fma z (+ x y) (* y x))
17.7b	(cbrt (fma z (+ x y) (* y x)))
17.7b	(cbrt (fma z (+ x y) (* y x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

0.0ms	(fma z (+ x y) (* y x))
0.0ms	(fma z (+ x y) (* y x))
1.0ms	(cbrt (fma z (+ x y) (* y x)))
1.0ms	(cbrt (fma z (+ x y) (* y x)))

series809.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma z (+ x y) (* y x))
41.0ms	(fma z (+ x y) (* y x))
363.0ms	(cbrt (fma z (+ x y) (* y x)))
365.0ms	(cbrt (fma z (+ x y) (* y x)))

simplify753.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	1072
2	258
1	120
0	57

prune595.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 18.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma z (+ x y) (* y x))
17.2b	(sqrt (fma y z (* x (+ z y))))
17.2b	(sqrt (fma y z (* x (+ z y))))
17.7b	(cbrt (fma z (+ x y) (* y x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

0.0ms	(fma z (+ x y) (* y x))
2.0ms	(sqrt (fma y z (* x (+ z y))))
2.0ms	(sqrt (fma y z (* x (+ z y))))
1.0ms	(cbrt (fma z (+ x y) (* y x)))

series580.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma z (+ x y) (* y x))
135.0ms	(sqrt (fma y z (* x (+ z y))))
129.0ms	(sqrt (fma y z (* x (+ z y))))
291.0ms	(cbrt (fma z (+ x y) (* y x)))

simplify1.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	1842
2	443
1	194
0	92

prune692.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 18.1b

regimes323.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
770.0ms	7874×	body	80	nan