Details

sample102.0ms

Algorithm

intervals

Results

36.0ms	48×	body	640	valid
30.0ms	79×	body	1280	valid
7.0ms	17×	body	2560	valid
6.0ms	75×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	14×	body	160	valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
20	4822
19	4621
18	4420
17	4220
16	4001
15	3806
14	3601
13	3399
12	3187
11	2982
10	2768
9	2530
8	1937
7	1049
6	533
5	291
4	170
3	78
2	44
1	20
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.9b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
13×	`add-log-exp`
7×	`distribute-lft-out`
4×	`add-sqr-sqrt` `sum-log` `associate--r+` `distribute-lft-out--`
3×	`+-commutative` `diff-log`
2×	`pow1` `associate-+r+` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

2 → 38

Calls

2 calls:

38.0ms	(+ (* x y) z)
182.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x y) z)
59.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify2.4s

Counts

44 → 44

Iterations

Iter	Nodes
done	5002
3	3997
2	789
1	201
0	71

prune196.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 6.4b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
6.2b	(- (fma x y z) (+ (* x y) z))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
9×	`add-log-exp`
4×	`add-sqr-sqrt` `distribute-lft-out`
3×	`distribute-lft-out--`
2×	`pow1` `+-commutative` `sum-log` `add-cbrt-cube` `diff-log` `associate-l` `add-exp-log` `add-cube-cbrt` `insert-posit16` `associate--r+`
1×	`sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

2 → 34

Calls

2 calls:

26.0ms	(+ (* x y) z)
92.0ms	(- (fma x y z) (+ (* x y) z))

series100.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x y) z)
58.0ms	(- (fma x y z) (+ (* x y) z))

simplify2.6s

Counts

40 → 40

Iterations

Iter	Nodes
done	5002
4	4277
3	1240
2	430
1	152
0	57

prune192.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.2b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
6.2b	(- (fma x y z) (+ (* x y) z))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
9×	`add-log-exp`
4×	`add-sqr-sqrt` `distribute-lft-out`
3×	`distribute-lft-out--`
2×	`pow1` `+-commutative` `sum-log` `add-cbrt-cube` `diff-log` `associate-l` `add-exp-log` `add-cube-cbrt` `insert-posit16` `associate--r+`
1×	`sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

2 → 34

Calls

2 calls:

31.0ms	(+ (* x y) z)
64.0ms	(- (fma x y z) (+ (* x y) z))

series70.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* x y) z)
40.0ms	(- (fma x y z) (+ (* x y) z))

simplify3.2s

Counts

40 → 40

Iterations

Iter	Nodes
done	5002
4	4277
3	1240
2	430
1	152
0	57

prune408.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 6.2b

localize43.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (+ (* x y) z))
6.5b	(cbrt (+ (* x y) z))
6.5b	(cbrt (+ (* x y) z))
41.1b	(- (fma x y z) (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z))))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
36×	`cbrt-prod`
26×	`unswap-sqr`
25×	`*-un-lft-identity`
19×	`difference-of-squares`
7×	`add-cube-cbrt`
6×	`cbrt-div` `associate-l` `distribute-lft-out` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `swap-sqr` `add-exp-log` `insert-posit16`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out--`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 83

Calls

4 calls:

30.0ms	(cbrt (+ (* x y) z))
26.0ms	(cbrt (+ (* x y) z))
17.0ms	(cbrt (+ (* x y) z))
1.5s	(- (fma x y z) (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (+ (* x y) z))
154.0ms	(cbrt (+ (* x y) z))
176.0ms	(cbrt (+ (* x y) z))
58.0ms	(- (fma x y z) (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z))))

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
3	1730
2	682
1	310
0	130

prune470.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 6.2b

regimes144.0ms

Accuracy

0% (0.2b remaining)

Error of 7.8b against oracle of 7.6b and baseline of 7.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.8s	2621×	body	1280	valid
596.0ms	1562×	body	640	valid
339.0ms	549×	body	2560	valid
255.0ms	2194×	body	80	valid
232.0ms	740×	body	320	valid
83.0ms	334×	body	160	valid