Details

sample29.0ms

Algorithm

intervals

Results

12.0ms	235×	body	80	valid
2.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify61.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
7	54
6	51
5	48
4	42
3	35
2	25
1	12
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

5.0ms

(- x (* (/ 3.0 8.0) y))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.9s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
4	4576
3	1234
2	335
1	109
0	46

prune86.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 x (- (* y (/ 3.0 8.0))))
38.6b	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma 1 x (- (* y (/ 3.0 8.0))))
0.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma 1 x (- (* y (/ 3.0 8.0))))
59.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))

simplify2.5s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
4	1307
3	284
2	98
1	54
0	37

prune132.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1 x (- (* y (/ 3.0 8.0))))
38.6b	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))
38.6b	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))
38.6b	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(fma 1 x (- (* y (/ 3.0 8.0))))
0.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))
0.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))
0.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma 1 x (- (* y (/ 3.0 8.0))))
66.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))
78.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))
69.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))

simplify2.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	1307
3	284
2	98
1	54
0	37

prune389.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 3.0 (/ 8.0 y)))
0.7b	(/ 3.0 (/ 8.0 y))
0.7b	(/ 3.0 (/ 8.0 y))
0.7b	(/ 3.0 (/ 8.0 y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

426×	`times-frac`
289×	`add-sqr-sqrt`
282×	`*-un-lft-identity`
280×	`add-cube-cbrt`
132×	`prod-diff`
39×	`associate-/r*`
27×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `fma-neg` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 373

Calls

4 calls:

18.0ms	(- x (/ 3.0 (/ 8.0 y)))
15.0ms	(/ 3.0 (/ 8.0 y))
5.0ms	(/ 3.0 (/ 8.0 y))
5.0ms	(/ 3.0 (/ 8.0 y))

series137.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- x (/ 3.0 (/ 8.0 y)))
27.0ms	(/ 3.0 (/ 8.0 y))
27.0ms	(/ 3.0 (/ 8.0 y))
27.0ms	(/ 3.0 (/ 8.0 y))

simplify2.5s

Counts

385 → 385

Iterations

Iter	Nodes
done	5000
2	4795
1	1335
0	491

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	23
2	23
1	19
0	12

end0.0ms

sample623.0ms

Algorithm

intervals

Results

335.0ms	7386×	body	80	valid
67.0ms	219×	body	1280	valid
27.0ms	89×	body	320	valid
23.0ms	175×	body	640	valid
19.0ms	94×	body	2560	valid
2.0ms	37×	body	160	valid