Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify215.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	17	9
2	51	9
3	130	9
4	221	9
5	291	9
6	293	9
done	293	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite33.0ms

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:

9.0ms	(+ b (+ c d))
22.0ms	(+ a (+ b (+ c d)))

series44.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ b (+ c d))
29.0ms	(+ a (+ b (+ c d)))

simplify999.0ms

Counts

48 → 48

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	60	378
1	181	347
2	615	333
3	3094	333
done	5001	333

prune122.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize6.0ms

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite36.0ms

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:

35.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify841.0ms

Counts

25 → 25

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	41	223
1	118	210
2	435	196
3	2306	196
done	5000	196

prune74.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.0b

localize7.0ms

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite36.0ms

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:

35.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify810.0ms

Counts

25 → 25

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	41	223
1	118	210
2	435	196
3	2306	196
done	5000	196

prune79.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod` `sum-log`
3×	`fma-def`
2×	`pow1` `add-exp-log` `cube-div` `expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 53

Calls

2 calls:

52.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
34.0ms	(+ a (+ (+ b c) d))

series85.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
32.0ms	(+ a (+ (+ b c) d))

simplify1.6s

Counts

59 → 59

Iterations

Useful iterations: 3 (425.0ms)

Iter	Nodes	Cost
0	86	805
1	220	614
2	771	577
3	4631	575
done	5000	575

prune107.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 1.9b

regimes424.0ms

Accuracy

0% (0.9b remaining)

Error of 2.8b against oracle of 1.9b and baseline of 2.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	17	9
done	17	9

end0.0ms

sample539.0ms

Algorithm

intervals

Results

178.0ms	8000×	pre	80	true
161.0ms	8000×	body	80	valid