Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	91×	body	1280	valid
7.0ms	39×	body	640	valid
6.0ms	69×	body	80	valid
6.0ms	22×	body	2560	valid
4.0ms	26×	body	320	valid
1.0ms	9×	body	160	valid

simplify982.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite110.0ms

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)
102.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* x y) z)
67.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.6s

Counts

35 → 35

Iterations

Useful iterations: 3 (565.0ms)

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

prune145.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 44.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.3b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

15.0ms	(+ (* x y) z)
72.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* x y) z)
56.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify850.0ms

Counts

43 → 43

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	92	832
1	277	789
2	1173	765
done	5000	722

prune194.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 43.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (- (- (fma x y z) 1.0) (* x y)) z)
11.5b	(- (- (fma x y z) 1.0) (* x y))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`diff-log`
8×	`associate--l+`
5×	`sub-neg`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `associate--l-` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

216.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
65.0ms	(- (- (fma x y z) 1.0) (* x y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
41.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.5s

Counts

43 → 43

Iterations

Useful iterations: 3 (512.0ms)

Iter	Nodes	Cost
0	69	646
1	162	611
2	474	587
3	2088	575
done	5001	575

prune198.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 43.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (- (- (fma x y z) 1.0) (* x y)) z)
11.5b	(- (- (fma x y z) 1.0) (* x y))
11.5b	(- (- (fma x y z) 1.0) (* x y))
11.5b	(- (- (fma x y z) 1.0) (* x y))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-log-exp`
15×	`diff-log`
12×	`associate--l+`
9×	`sub-neg`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `associate--l-` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

204.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
53.0ms	(- (- (fma x y z) 1.0) (* x y))
43.0ms	(- (- (fma x y z) 1.0) (* x y))
54.0ms	(- (- (fma x y z) 1.0) (* x y))

series220.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
54.0ms	(- (- (fma x y z) 1.0) (* x y))
53.0ms	(- (- (fma x y z) 1.0) (* x y))
47.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.3s

Counts

81 → 81

Iterations

Useful iterations: 3 (439.0ms)

Iter	Nodes	Cost
0	69	1180
1	162	1091
2	474	1067
3	2088	1049
done	5001	1049

prune383.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 43.8b

regimes317.0ms

Accuracy

0% (0.7b remaining)

Error of 45.0b against oracle of 44.2b and baseline of 45.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	70
1	17	70
done	17	70

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	2658×	body	1280	valid
495.0ms	1527×	body	640	valid
199.0ms	766×	body	320	valid
198.0ms	581×	body	2560	valid
166.0ms	2103×	body	80	valid
61.0ms	365×	body	160	valid