Details

sample23.0ms

Algorithm

intervals

Results

5.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	58	4
2	178	4
3	351	4
4	401	4
5	401	4
done	401	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ e d) c)
0.2b	(+ (+ (+ (+ e d) c) b) a)
0.3b	(+ (+ (+ e d) c) b)

rewrite836.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
31×	`add-log-exp`
29×	`distribute-lft-out`
19×	`sum-log`
15×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

3 → 72

Calls

3 calls:

28.0ms	(+ (+ e d) c)
491.0ms	(+ (+ (+ (+ e d) c) b) a)
314.0ms	(+ (+ (+ e d) c) b)

series102.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (+ e d) c)
55.0ms	(+ (+ (+ (+ e d) c) b) a)
32.0ms	(+ (+ (+ e d) c) b)

simplify30.0ms

Counts

81 → 81

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	249	295
1	1063	283
2	5002	283
done	5002	283

prune227.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (+ (+ e d) (+ c b)) a)
0.3b	(+ (+ e d) (+ c b))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
32×	`add-log-exp`
30×	`distribute-lft-out`
21×	`sum-log`
11×	`fma-def`
6×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `frac-add`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
1×	`associate-+r+`

Counts

2 → 60

Calls

2 calls:

184.0ms	(+ (+ (+ e d) (+ c b)) a)
52.0ms	(+ (+ e d) (+ c b))

series85.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (+ (+ e d) (+ c b)) a)
30.0ms	(+ (+ e d) (+ c b))

simplify45.0ms

Counts

66 → 66

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	363	326
1	1444	310
2	5001	310
done	5001	310

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ e (+ d c))
0.2b	(+ (+ (+ e (+ d c)) b) a)
0.3b	(+ (+ e (+ d c)) b)

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

15.0ms	(+ e (+ d c))
408.0ms	(+ (+ (+ e (+ d c)) b) a)
96.0ms	(+ (+ e (+ d c)) b)

series103.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ e (+ d c))
54.0ms	(+ (+ (+ e (+ d c)) b) a)
33.0ms	(+ (+ e (+ d c)) b)

simplify33.0ms

Counts

80 → 80

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	259	295
1	1077	283
2	5001	283
done	5001	283

prune161.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (+ e (+ d c)))
0.2b	(sqrt (+ e (+ d c)))
0.2b	(+ (fma (sqrt (+ e (+ d c))) (sqrt (+ e (+ d c))) b) a)
0.4b	(fma (sqrt (+ e (+ d c))) (sqrt (+ e (+ d c))) b)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`sqrt-prod`
7×	`add-cube-cbrt` `distribute-lft-out`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `sqrt-div` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def`
1×	`+-commutative` `associate-+l+` `sum-log`

Counts

4 → 68

Calls

4 calls:

27.0ms	(sqrt (+ e (+ d c)))
25.0ms	(sqrt (+ e (+ d c)))
5.0ms	(+ (fma (sqrt (+ e (+ d c))) (sqrt (+ e (+ d c))) b) a)
0.0ms	(fma (sqrt (+ e (+ d c))) (sqrt (+ e (+ d c))) b)

series1.5s

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (+ e (+ d c)))
52.0ms	(sqrt (+ e (+ d c)))
908.0ms	(+ (fma (sqrt (+ e (+ d c))) (sqrt (+ e (+ d c))) b) a)
527.0ms	(fma (sqrt (+ e (+ d c))) (sqrt (+ e (+ d c))) b)

simplify74.0ms

Counts

80 → 80

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	258	549
1	751	487
2	3298	454
3	5001	440
done	5001	440

prune202.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes270.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4
done	13	4

end0.0ms

sample629.0ms

Algorithm

intervals

Results

183.0ms	8000×	pre	80	true
142.0ms	8000×	body	80	valid