Details

sample62.0ms

Algorithm

intervals

Results

18.0ms	83×	body	1280	valid
10.0ms	55×	body	640	valid
6.0ms	18×	body	2560	valid
5.0ms	34×	body	320	valid
3.0ms	59×	body	80	valid
1.0ms	7×	body	160	valid

simplify923.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 47.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.1b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite64.0ms

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:

9.0ms	(+ (* x y) z)
53.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series108.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x y) z)
67.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify689.0ms

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1232
1	282
0	92

prune242.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
8.9b	(- (fma x y z) (+ (* x y) z))
8.9b	(- (fma x y z) (+ (* x y) z))
8.9b	(- (fma x y z) (+ (* x y) z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

6.0ms	(+ (* x y) z)
13.0ms	(- (fma x y z) (+ (* x y) z))
24.0ms	(- (fma x y z) (+ (* x y) z))
14.0ms	(- (fma x y z) (+ (* x y) z))

series155.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x y) z)
37.0ms	(- (fma x y z) (+ (* x y) z))
48.0ms	(- (fma x y z) (+ (* x y) z))
40.0ms	(- (fma x y z) (+ (* x y) z))

simplify939.0ms

Counts

71 → 71

Iterations

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

prune475.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.3b

localize65.0ms

Local error

Found 4 expressions with local error:

8.9b	(- (fma x y z) (cbrt (pow (+ (* x y) z) 3)))
8.9b	(- (fma x y z) (+ (* x y) z))
8.9b	(- (fma x y z) (+ (* x y) z))
30.9b	(cbrt (pow (+ (* x y) z) 3))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod` `add-log-exp`
13×	`*-un-lft-identity`
7×	`add-cube-cbrt` `difference-of-squares`
5×	`diff-log`
4×	`pow1` `unpow-prod-down` `add-cbrt-cube` `cube-prod` `add-exp-log`
3×	`sub-neg` `flip3--` `flip--` `distribute-lft-out--`
2×	`cube-div` `cbrt-div` `sum-log` `associate--r+` `sqr-pow`
1×	`cube-mult` `flip3-+` `pow1/3` `unpow3` `rem-cbrt-cube` `flip-+`

Counts

4 → 73

Calls

4 calls:

41.0ms	(- (fma x y z) (cbrt (pow (+ (* x y) z) 3)))
30.0ms	(- (fma x y z) (+ (* x y) z))
13.0ms	(- (fma x y z) (+ (* x y) z))
9.0ms	(cbrt (pow (+ (* x y) z) 3))

series200.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (fma x y z) (cbrt (pow (+ (* x y) z) 3)))
55.0ms	(- (fma x y z) (+ (* x y) z))
56.0ms	(- (fma x y z) (+ (* x y) z))
33.0ms	(cbrt (pow (+ (* x y) z) 3))

simplify929.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1290
1	300
0	111

prune618.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.3b

localize100.0ms

Local error

Found 4 expressions with local error:

8.9b	(- (fma x y z) (cbrt (pow (+ (* x y) z) 3)))
9.1b	(cbrt (+ z (* x y)))
30.9b	(cbrt (pow (+ (* x y) z) 3))
35.3b	(- (pow (fma x y z) 3) (pow (+ z (* x y)) 3))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
21×	`difference-of-squares`
20×	`*-un-lft-identity`
19×	`cbrt-prod`
16×	`unpow-prod-down` `cube-prod`
10×	`sqr-pow`
8×	`add-cube-cbrt` `add-log-exp`
6×	`distribute-lft-out--`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log`
2×	`cube-div` `sub-neg` `flip3-+` `flip3--` `pow1/3` `diff-log` `flip-+` `flip--`
1×	`cube-mult` `difference-cubes` `unpow3` `rem-cbrt-cube`

Counts

4 → 88

Calls

4 calls:

35.0ms	(- (fma x y z) (cbrt (pow (+ (* x y) z) 3)))
2.0ms	(cbrt (+ z (* x y)))
12.0ms	(cbrt (pow (+ (* x y) z) 3))
45.0ms	(- (pow (fma x y z) 3) (pow (+ z (* x y)) 3))

series464.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (fma x y z) (cbrt (pow (+ (* x y) z) 3)))
145.0ms	(cbrt (+ z (* x y)))
32.0ms	(cbrt (pow (+ (* x y) z) 3))
239.0ms	(- (pow (fma x y z) 3) (pow (+ z (* x y)) 3))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	2786
1	552
0	208

prune975.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 9.3b

regimes195.0ms

Accuracy

0% (0.0b remaining)

Error of 7.8b against oracle of 7.8b and baseline of 7.8b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

809.0ms	1605×	body	640	valid
765.0ms	2577×	body	1280	valid
251.0ms	579×	body	2560	valid
190.0ms	2110×	body	80	valid
113.0ms	762×	body	320	valid
40.0ms	367×	body	160	valid