Details

sample98.0ms

Algorithm

intervals

Results

44.0ms	74×	body	1280	valid
12.0ms	52×	body	640	valid
10.0ms	28×	body	2560	valid
5.0ms	67×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	11×	body	160	valid

simplify974.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 45.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite92.0ms

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

series70.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x y) z)
45.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.7s

Counts

35 → 35

Iterations

Useful iterations: 3 (584.0ms)

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

prune155.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 44.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.1b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite83.0ms

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:

8.0ms	(+ (* x y) z)
73.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series109.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x y) z)
69.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify868.0ms

Counts

43 → 43

Iterations

Useful iterations: done (866.0ms)

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

prune202.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 44.4b

localize18.0ms

Local error

Found 2 expressions with local error:

1.0b	(- (- (- (fma x y z) 1.0) (* x y)) z)
12.9b	(- (- (fma x y z) 1.0) (* x y))

rewrite338.0ms

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:

278.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
58.0ms	(- (- (fma x y z) 1.0) (* x y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
43.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.5s

Counts

43 → 43

Iterations

Useful iterations: 3 (432.0ms)

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

prune215.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 44.3b

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (- (- (fma x y z) 1.0) (* x y)) z)
12.9b	(- (- (fma x y z) 1.0) (* x y))
12.9b	(- (- (fma x y z) 1.0) (* x y))
12.9b	(- (- (fma x y z) 1.0) (* x y))

rewrite402.0ms

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:

235.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
43.0ms	(- (- (fma x y z) 1.0) (* x y))
45.0ms	(- (- (fma x y z) 1.0) (* x y))
77.0ms	(- (- (fma x y z) 1.0) (* x y))

series228.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
67.0ms	(- (- (fma x y z) 1.0) (* x y))
57.0ms	(- (- (fma x y z) 1.0) (* x y))
44.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: 3 (392.0ms)

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

prune361.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 44.3b

regimes328.0ms

Accuracy

0% (0.7b remaining)

Error of 44.7b against oracle of 44.0b and baseline of 44.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	2580×	body	1280	valid
450.0ms	1578×	body	640	valid
250.0ms	614×	body	2560	valid
155.0ms	752×	body	320	valid
109.0ms	2138×	body	80	valid
84.0ms	338×	body	160	valid