Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	90×	body	1280	valid
5.0ms	46×	body	640	valid
4.0ms	29×	body	2560	valid
2.0ms	60×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	13×	body	160	valid

simplify919.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	42	12
3	82	12
4	160	12
5	281	12
6	509	12
7	659	12
8	680	12
done	680	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
14.5b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite25.0ms

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:

3.0ms	(+ (* x y) z)
21.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* x y) z)
39.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify822.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (205.0ms)

Iter	Nodes	Cost
0	65	500
1	178	483
2	518	449
3	1954	447
done	5000	447

prune87.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 46.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
14.5b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
14.5b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
14.5b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite72.0ms

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:

3.0ms	(+ (* x y) z)
22.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
21.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
25.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* x y) z)
38.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
39.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
42.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify834.0ms

Counts

77 → 77

Iterations

Useful iterations: 3 (211.0ms)

Iter	Nodes	Cost
0	65	1252
1	178	1207
2	518	1125
3	1954	1123
done	5000	1123

prune205.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 46.8b

localize12.0ms

Local error

Found 4 expressions with local error:

11.7b	(cbrt (+ (* x y) z))
11.7b	(cbrt (+ (* x y) z))
11.7b	(cbrt (+ (* x y) z))
36.2b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite14.0ms

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:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
6.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series373.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (+ (* x y) z))
110.0ms	(cbrt (+ (* x y) z))
111.0ms	(cbrt (+ (* x y) z))
44.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify978.0ms

Counts

67 → 67

Iterations

Useful iterations: done (976.0ms)

Iter	Nodes	Cost
0	95	1308
1	240	1261
2	597	916
3	1594	835
done	5000	832

prune261.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 46.6b

localize20.0ms

Local error

Found 4 expressions with local error:

11.7b	(cbrt (+ (* x y) z))
11.7b	(cbrt (+ (* x y) z))
11.7b	(cbrt (+ (* x y) z))
38.2b	(- (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)))))))

rewrite14.0ms

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:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
6.0ms	(- (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)))))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (+ (* x y) z))
108.0ms	(cbrt (+ (* x y) z))
40.0ms	(- (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)))))))

simplify1.1s

Counts

67 → 67

Iterations

Useful iterations: 3 (293.0ms)

Iter	Nodes	Cost
0	97	1716
1	248	1652
2	649	1231
3	1948	835
done	5000	835

prune282.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 34.6b

regimes249.0ms

Accuracy

0% (0.4b remaining)

Error of 31.4b against oracle of 31.0b and baseline of 31.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	15	41
done	15	41

end0.0ms

sample947.0ms

Algorithm

intervals

Results

341.0ms	2618×	body	1280	valid
176.0ms	1615×	body	640	valid
99.0ms	617×	body	2560	valid
63.0ms	2093×	body	80	valid
59.0ms	719×	body	320	valid
20.0ms	338×	body	160	valid