Details

sample74.0ms

Algorithm

intervals

Results

24.0ms	87×	body	1280	valid
16.0ms	67×	body	640	valid
4.0ms	13×	body	2560	valid
4.0ms	25×	body	320	valid
3.0ms	51×	body	80	valid
1.0ms	13×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	43	12
3	88	12
4	196	12
5	340	12
6	1400	12
done	5000	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 48.6b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.4b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite107.0ms

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:

19.0ms	(+ (* x y) z)
86.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) z)
64.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify778.0ms

Counts

35 → 35

Iterations

Useful iterations: done (776.0ms)

Iter	Nodes	Cost
0	65	500
1	184	483
2	811	449
done	5001	447

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 48.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.4b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite120.0ms

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:

16.0ms	(+ (* x y) z)
102.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series103.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x y) z)
63.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify932.0ms

Counts

43 → 43

Iterations

Useful iterations: done (930.0ms)

Iter	Nodes	Cost
0	92	832
1	281	789
2	1231	765
done	5001	722

prune333.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 47.7b

localize33.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.0b	(- (- (fma x y z) 1.0) (* x y))

rewrite421.0ms

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:

341.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
78.0ms	(- (- (fma x y z) 1.0) (* x y))

series137.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
62.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify2.4s

Counts

43 → 43

Iterations

Useful iterations: 3 (713.0ms)

Iter	Nodes	Cost
0	69	646
1	166	611
2	562	587
3	2928	575
done	5001	575

prune349.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 47.6b

localize46.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.0b	(- (- (fma x y z) 1.0) (* x y))
10.0b	(- (- (fma x y z) 1.0) (* x y))
10.0b	(- (- (fma x y z) 1.0) (* x y))

rewrite577.0ms

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:

327.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
82.0ms	(- (- (fma x y z) 1.0) (* x y))
80.0ms	(- (- (fma x y z) 1.0) (* x y))
85.0ms	(- (- (fma x y z) 1.0) (* x y))

series270.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
58.0ms	(- (- (fma x y z) 1.0) (* x y))
70.0ms	(- (- (fma x y z) 1.0) (* x y))
67.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify2.5s

Counts

81 → 81

Iterations

Useful iterations: 3 (714.0ms)

Iter	Nodes	Cost
0	69	1180
1	166	1091
2	562	1067
3	2928	1049
done	5001	1049

prune550.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 47.6b

regimes602.0ms

Accuracy

0% (0.7b remaining)

Error of 45.3b against oracle of 44.6b and baseline of 45.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	41
1	14	41
done	14	41

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	2648×	body	1280	valid
675.0ms	2058×	body	80	valid
435.0ms	1600×	body	640	valid
343.0ms	610×	body	2560	valid
201.0ms	740×	body	320	valid
45.0ms	344×	body	160	valid