Details

sample49.0ms

Algorithm

intervals

Results

17.0ms	256×	pre	80	true
11.0ms	256×	body	80	valid

simplify523.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	17	9
2	53	9
3	150	9
4	295	9
5	366	9
6	368	9
done	368	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.7b	(+ a (+ b (+ c d)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-log-exp`
9×	`sum-log` `distribute-lft-out`
6×	`fma-def`
4×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

2 → 42

Calls

2 calls:

41.0ms	(+ b (+ c d))
66.0ms	(+ a (+ b (+ c d)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ b (+ c d))
59.0ms	(+ a (+ b (+ c d)))

simplify2.4s

Counts

48 → 48

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	60	378
1	177	347
2	704	333
3	4191	333
done	5000	333

prune168.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize16.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ a (+ (+ b c) d))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`sum-log` `distribute-lft-out`
3×	`fma-def`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 22

Calls

1 calls:

127.0ms

(+ a (+ (+ b c) d))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(+ a (+ (+ b c) d))

simplify1.9s

Counts

25 → 25

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	41	223
1	113	210
2	479	196
3	3094	196
done	5000	196

prune108.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (expm1 (+ a (+ (+ b c) d))))
0.1b	(expm1 (+ a (+ (+ b c) d)))
2.7b	(+ a (+ (+ b c) d))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-log-exp`
6×	`sum-log` `distribute-lft-out`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log1p-expm1-u`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube`
1×	`+-commutative` `associate-+r+` `log1p-udef` `expm1-log1p` `flip3-+` `log1p-expm1` `flip-+` `expm1-udef`

Counts

3 → 44

Calls

3 calls:

0.0ms	(log1p (expm1 (+ a (+ (+ b c) d))))
1.0ms	(expm1 (+ a (+ (+ b c) d)))
94.0ms	(+ a (+ (+ b c) d))

series187.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(log1p (expm1 (+ a (+ (+ b c) d))))
62.0ms	(expm1 (+ a (+ (+ b c) d)))
48.0ms	(+ a (+ (+ b c) d))

simplify2.1s

Counts

53 → 53

Iterations

Useful iterations: 3 (844.0ms)

Iter	Nodes	Cost
0	64	501
1	148	458
2	573	414
3	3898	412
done	5000	412

prune179.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.0b

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ a (+ (+ b c) d))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`sum-log` `distribute-lft-out`
3×	`fma-def`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 22

Calls

1 calls:

85.0ms

(+ a (+ (+ b c) d))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(+ a (+ (+ b c) d))

simplify1.8s

Counts

25 → 25

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	41	223
1	113	210
2	479	196
3	3094	196
done	5000	196

prune66.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.0b

regimes531.0ms

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
done	13	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

639.0ms	8000×	pre	80	true
302.0ms	8000×	body	80	valid