Details

sample51.0ms

Algorithm

intervals

Results

14.0ms	78×	body	1280	valid
9.0ms	57×	body	640	valid
5.0ms	22×	body	2560	valid
3.0ms	65×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ 1.0 (+ (* x y) z))
9.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

6.0ms	(+ (* x y) z)
14.0ms	(+ 1.0 (+ (* x y) z))
53.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* x y) z)
31.0ms	(+ 1.0 (+ (* x y) z))
42.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	907
1	226
0	78

prune300.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 45.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
9.8b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

6.0ms	(+ (* x y) z)
54.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* x y) z)
54.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify1.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1232
1	282
0	92

prune236.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
7.7b	(- (fma x y z) (+ (* x y) z))

rewrite25.0ms

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:

11.0ms	(+ (* x y) z)
13.0ms	(- (fma x y z) (+ (* x y) z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x y) z)
46.0ms	(- (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

prune231.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 8.0b

localize13.0ms

Local error

Found 2 expressions with local error:

1.0b	(- (- (- (fma x y z) 1.0) (* x y)) z)
9.7b	(- (- (fma x y z) 1.0) (* x y))

rewrite235.0ms

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×	`associate--l-` `pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

190.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
43.0ms	(- (- (fma x y z) 1.0) (* x y))

series124.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
63.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify1.7s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	2767
2	554
1	166
0	68

prune195.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 8.0b

regimes148.0ms

Accuracy

0% (0.0b remaining)

Error of 7.7b against oracle of 7.7b and baseline of 7.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	2578×	body	1280	valid
479.0ms	1612×	body	640	valid
260.0ms	763×	body	320	valid
197.0ms	604×	body	2560	valid
122.0ms	2119×	body	80	valid
36.0ms	324×	body	160	valid