Details

sample44.0ms

Algorithm

intervals

Results

14.0ms	82×	body	1280	valid
6.0ms	43×	body	640	valid
4.0ms	22×	body	2560	valid
3.0ms	69×	body	80	valid
3.0ms	28×	body	320	valid
1.0ms	12×	body	160	valid

simplify1.0s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite93.0ms

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:

13.0ms	(+ (* x y) z)
78.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) z)
50.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.7s

Counts

35 → 35

Iterations

Useful iterations: 3 (546.0ms)

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

prune109.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 44.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite79.0ms

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

series138.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* x y) z)
94.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.8s

Counts

35 → 35

Iterations

Useful iterations: 3 (617.0ms)

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

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 44.0b

localize25.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (+ (* x y) z))
8.0b	(cbrt (+ (* x y) z))
8.0b	(cbrt (+ (* x y) z))
32.2b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite47.0ms

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))
6.0ms	(cbrt (+ (* x y) z))
28.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series568.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (+ (* x y) z))
166.0ms	(cbrt (+ (* x y) z))
158.0ms	(cbrt (+ (* x y) z))
63.0ms	(- (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

prune401.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 43.8b

localize37.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (+ (* x y) z))
8.0b	(cbrt (+ (* x y) z))
8.0b	(cbrt (+ (* x y) z))
34.4b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite43.0ms

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:

9.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
19.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series697.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (+ (* x y) z))
189.0ms	(cbrt (+ (* x y) z))
166.0ms	(cbrt (+ (* x y) z))
85.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	97	1716
1	248	1652
2	673	1231
3	2069	835
done	5001	817

prune462.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 43.8b

regimes419.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	15	15
done	15	15

end0.0ms

sample2.8s

Algorithm

intervals

Results

899.0ms	2657×	body	1280	valid
530.0ms	2128×	body	80	valid
402.0ms	1541×	body	640	valid
275.0ms	599×	body	2560	valid
193.0ms	740×	body	320	valid
34.0ms	335×	body	160	valid