Details

sample93.0ms

Algorithm

intervals

Results

36.0ms	47×	body	1280	valid
17.0ms	34×	body	640	valid
16.0ms	147×	body	80	valid
6.0ms	17×	body	320	valid
3.0ms	11×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (sin y) z (* x (cos y)))
0.1b	(* x (cos y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (sin y) z (* x (cos y)))
41.0ms	(* x (cos y))

series208.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(fma (sin y) z (* x (cos y)))
51.0ms	(* x (cos y))

simplify2.8s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
4	1829
3	567
2	199
1	91
0	52

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt x) (cbrt x))
299.0ms	(cbrt x)
300.0ms	(cbrt x)
257.0ms	(cbrt x)

simplify3.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5003
4	4334
3	1106
2	364
1	141
0	67

prune561.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite4.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.5s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt x)
293.0ms	(cbrt x)
638.0ms	(cbrt x)
327.0ms	(cbrt x)

simplify4.0s

Counts

68 → 68

Iterations

Iter	Nodes
done	5011
6	4856
5	1192
4	406
3	186
2	97
1	47
0	27

prune597.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite4.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt x)
262.0ms	(cbrt x)
269.0ms	(cbrt x)
245.0ms	(cbrt x)

simplify4.2s

Counts

68 → 68

Iterations

Iter	Nodes
done	5011
6	4856
5	1192
4	406
3	186
2	97
1	47
0	27

prune535.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes277.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	1523×	body	1280	valid
1.1s	4237×	body	80	valid
827.0ms	1261×	body	640	valid
335.0ms	645×	body	320	valid
135.0ms	334×	body	160	valid