Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	232×	body	80	nan
12.0ms	256×	body	80	valid

simplify34.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.7b

localize28.0ms

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)))

rewrite3.0ms

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:

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

series175.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma (+ x y) z (* y x))
144.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify1.9s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
4	3328
3	709
2	230
1	107
0	53

prune208.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 19.7b

localize40.0ms

Local error

Found 2 expressions with local error:

1.5b	(fma (+ x y) z (* y x))
19.7b	(pow (fma (+ x y) z (* y x)) 1/2)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `pow-unpow` `unpow-prod-down` `add-exp-log`
2×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `pow-pow` `pow-exp` `fma-udef` `unpow1/2` `sqr-pow`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (+ x y) z (* y x))
3.0ms	(pow (fma (+ x y) z (* y x)) 1/2)

series310.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(fma (+ x y) z (* y x))
265.0ms	(pow (fma (+ x y) z (* y x)) 1/2)

simplify3.0s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
4	4879
3	1417
2	491
1	195
0	78

prune272.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 16.5b

localize57.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (+ x y) z (* y x))
1.5b	(fma (+ x y) z (* y x))
20.0b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
20.0b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow-unpow`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
6×	`pow1` `unpow-prod-down` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow-exp` `fma-udef` `div-inv` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma (+ x y) z (* y x))
0.0ms	(fma (+ x y) z (* y x))
4.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
5.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

series819.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (+ x y) z (* y x))
48.0ms	(fma (+ x y) z (* y x))
398.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
340.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))

simplify1.8s

Counts

94 → 94

Iterations

Iter	Nodes
done	5004
3	1725
2	595
1	242
0	98

prune702.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 16.5b

localize56.0ms

Local error

Found 4 expressions with local error:

20.0b	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
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

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`pow-unpow`
9×	`cbrt-prod` `times-frac`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

4.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
1.0ms	(cbrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))

series1.4s

Counts

4 → 12

Calls

4 calls:

326.0ms	(pow (fma (+ x y) z (* y x)) (/ 1/2 2))
375.0ms	(cbrt (fma (+ x y) z (* y x)))
345.0ms	(cbrt (fma (+ x y) z (* y x)))
333.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify2.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5004
3	1717
2	602
1	265
0	106

prune666.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 16.5b

regimes281.0ms

Accuracy

18.2% (2.8b remaining)

Error of 17.9b against oracle of 15.2b and baseline of 18.6b

bsearch181.0ms

Steps

Iters	Range		Point
7	8.939381356681108e+279	1.4540276775504438e+281	1.4416622308213284e+281
10	6.1177242570925486e+200	1.794884046088878e+214	5.899400734459858e+201

simplify7.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	8040×	body	80	nan
797.0ms	8000×	body	80	valid