Details

sample69.0ms

Algorithm

intervals

Results

26.0ms	80×	body	1280	valid
10.0ms	57×	body	640	valid
9.0ms	28×	body	2560	valid
3.0ms	62×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	9×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1409
5	341
4	191
3	90
2	43
1	18
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.7b

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)))

rewrite55.0ms

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-cbrt-cube` `add-exp-log` `add-cube-cbrt` `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:

6.0ms	(+ (* x y) z)
49.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x y) z)
59.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.1s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	828
1	182
0	65

prune196.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 46.1b

localize41.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
9.6b	(cbrt (+ (* x y) z))
34.0b	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite29.0ms

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-cbrt-cube` `add-exp-log`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`diff-log`
1×	`sum-log` `sub-neg` `flip3--` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

8.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
10.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series547.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (+ (* x y) z))
152.0ms	(cbrt (+ (* x y) z))
146.0ms	(cbrt (+ (* x y) z))
59.0ms	(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify1.9s

Counts

67 → 67

Iterations

Iter	Nodes
done	5002
3	2561
2	712
1	241
0	95

prune512.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 10.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

10.0ms	(+ (* x y) z)
13.0ms	(- (fma x y z) (+ (* x y) z))

series87.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* x y) z)
51.0ms	(- (fma x y z) (+ (* x y) z))

simplify1.4s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
3	1467
2	440
1	149
0	54

prune188.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 10.0b

localize29.0ms

Local error

Found 1 expressions with local error:

11.3b

(- (fma x y z) (* x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 12

Calls

1 calls:

8.0ms

(- (fma x y z) (* x y))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- (fma x y z) (* x y))

simplify1.8s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	2009
3	663
2	203
1	72
0	28

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 10.0b

regimes157.0ms

Accuracy

0% (0.0b remaining)

Error of 8.5b against oracle of 8.5b and baseline of 8.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
2	17
1	16
0	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	2603×	body	1280	valid
421.0ms	1579×	body	640	valid
285.0ms	2111×	body	80	valid
235.0ms	655×	body	2560	valid
110.0ms	717×	body	320	valid
33.0ms	335×	body	160	valid