Details

sample48.0ms

Algorithm

intervals

Results

15.0ms	85×	body	1280	valid
6.0ms	45×	body	640	valid
5.0ms	26×	body	2560	valid
2.0ms	23×	body	320	valid
2.0ms	69×	body	80	valid
1.0ms	8×	body	160	valid

simplify861.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	43	12
3	87	12
4	181	12
5	297	12
6	389	12
7	459	12
8	521	12
done	521	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

8.0ms	(+ (* x y) z)
93.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* x y) z)
64.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.5s

Counts

35 → 35

Iterations

Useful iterations: 3 (552.0ms)

Iter	Nodes	Cost
0	65	500
1	176	483
2	564	449
3	2547	447
done	5000	447

prune105.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 44.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-log-exp`
19×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `sum-log`
9×	`diff-log`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 65

Calls

4 calls:

13.0ms	(+ (* x y) z)
70.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
71.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
83.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x y) z)
64.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
49.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
58.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.5s

Counts

77 → 77

Iterations

Useful iterations: 3 (514.0ms)

Iter	Nodes	Cost
0	65	1252
1	176	1207
2	564	1125
3	2547	1123
done	5000	1123

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 44.4b

localize12.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
34.2b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
10.0ms	(cbrt (+ (* x y) z))
23.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (+ (* x y) z))
166.0ms	(cbrt (+ (* x y) z))
155.0ms	(cbrt (+ (* x y) z))
53.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify1.3s

Counts

67 → 67

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	95	1308
1	240	1261
2	621	916
3	1739	835
done	5000	823

prune329.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 44.3b

localize38.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
34.7b	(- (fma x y z) (+ 1.0 (* (* (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

11.0ms	(cbrt (+ (* x y) z))
12.0ms	(cbrt (+ (* x y) z))
11.0ms	(cbrt (+ (* x y) z))
29.0ms	(- (fma x y z) (+ 1.0 (* (* (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series559.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (+ (* x y) z))
181.0ms	(cbrt (+ (* x y) z))
180.0ms	(cbrt (+ (* x y) z))
50.0ms	(- (fma x y z) (+ 1.0 (* (* (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	98	1692
1	249	1629
2	660	1504
3	2074	1486
done	5000	1474

prune425.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 44.3b

regimes571.0ms

Accuracy

0% (0.7b remaining)

Error of 45.1b against oracle of 44.4b and baseline of 45.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	41
1	16	41
done	16	41

end0.0ms

sample1.4s

Algorithm

intervals

Results

461.0ms	2632×	body	1280	valid
223.0ms	1614×	body	640	valid
133.0ms	618×	body	2560	valid
83.0ms	2119×	body	80	valid
72.0ms	688×	body	320	valid
23.0ms	329×	body	160	valid