Details

sample98.0ms

Algorithm

intervals

Results

32.0ms	47×	body	1280	valid
14.0ms	147×	body	80	valid
13.0ms	34×	body	640	valid
5.0ms	17×	body	320	valid
2.0ms	11×	body	160	valid

simplify58.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	8

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

2.0ms	(fma (sin y) z (* x (cos y)))
24.0ms	(* x (cos y))

series256.0ms

Counts

2 → 6

Calls

2 calls:

166.0ms	(fma (sin y) z (* x (cos y)))
90.0ms	(* x (cos y))

simplify4.9s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
4	1733
3	560
2	194
1	91
0	52

prune496.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize108.0ms

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)

rewrite26.0ms

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:

16.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (cbrt x) (cbrt x))
348.0ms	(cbrt x)
292.0ms	(cbrt x)
393.0ms	(cbrt x)

simplify9.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5006
4	4197
3	1088
2	378
1	142
0	67

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize172.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:

3.0ms	(cbrt x)
3.0ms	(cbrt x)
3.0ms	(cbrt x)
3.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt x)
301.0ms	(cbrt x)
295.0ms	(cbrt x)
296.0ms	(cbrt x)

simplify4.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
5	1244
4	406
3	186
2	97
1	47
0	27

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize186.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:

3.0ms	(cbrt x)
3.0ms	(cbrt x)
3.0ms	(cbrt x)
3.0ms	(cbrt x)

series1.6s

Counts

4 → 12

Calls

4 calls:

704.0ms	(cbrt x)
279.0ms	(cbrt x)
283.0ms	(cbrt x)
305.0ms	(cbrt x)

simplify4.2s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
5	1244
4	406
3	186
2	97
1	47
0	27

prune985.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes782.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	1523×	body	1280	valid
1.1s	4237×	body	80	valid
690.0ms	1261×	body	640	valid
207.0ms	645×	body	320	valid
73.0ms	334×	body	160	valid