Details

sample61.0ms

Algorithm

intervals

Results

13.0ms	256×	pre	80	true
13.0ms	256×	body	80	valid

simplify647.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	565
7	565
6	558
5	483
4	348
3	169
2	58
1	19
0	9

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
1×	`associate-+l+`

Counts

2 → 43

Calls

2 calls:

24.0ms	(+ c (+ d e))
139.0ms	(+ (+ c (+ d e)) (+ b a))

series111.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ c (+ d e))
89.0ms	(+ (+ c (+ d e)) (+ b a))

simplify676.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	1569
1	310
0	92

prune212.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (+ (+ d e) c) (+ a b))
0.3b	(- (+ (+ d e) c) (+ a b))
0.3b	(/ (* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b))) (- (+ (+ d e) c) (+ a b)))
0.3b	(* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b)))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

138×	`flip3-+` `flip-+`
134×	`*-un-lft-identity`
72×	`frac-times`
68×	`frac-sub`
60×	`distribute-lft-out`
56×	`frac-add`
48×	`associate-/l/`
46×	`add-log-exp`
30×	`distribute-lft-out--`
20×	`add-sqr-sqrt`
18×	`sum-log`
17×	`flip3--` `flip--`
12×	`diff-log` `associate-l/` `associate-r/`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r` `times-frac` `associate-r*`
9×	`associate-l`
8×	`add-cube-cbrt`
6×	`pow1` `associate-/r/`
5×	`difference-of-squares`
4×	`sub-neg` `associate--l+`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate--r+`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 234

Calls

4 calls:

180.0ms	(- (+ (+ d e) c) (+ a b))
179.0ms	(- (+ (+ d e) c) (+ a b))
508.0ms	(/ (* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b))) (- (+ (+ d e) c) (+ a b)))
697.0ms	(* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b)))

series733.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (+ (+ d e) c) (+ a b))
80.0ms	(- (+ (+ d e) c) (+ a b))
78.0ms	(/ (* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b))) (- (+ (+ d e) c) (+ a b)))
505.0ms	(* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b)))

simplify478.0ms

Counts

246 → 246

Iterations

Iter	Nodes
done	5001
1	1238
0	346

prune2.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity` `add-log-exp`
18×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
1×	`associate-+r+`

Counts

2 → 43

Calls

2 calls:

30.0ms	(+ (+ c d) e)
137.0ms	(+ (+ (+ c d) e) (+ b a))

series87.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ c d) e)
69.0ms	(+ (+ (+ c d) e) (+ b a))

simplify746.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	1559
1	299
0	92

prune311.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite488.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
2×	`associate-+l+`
1×	`associate-+r+`

Counts

3 → 51

Calls

3 calls:

12.0ms	(+ b (+ c d))
86.0ms	(+ (+ b (+ c d)) e)
387.0ms	(+ (+ (+ b (+ c d)) e) a)

series129.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ b (+ c d))
41.0ms	(+ (+ b (+ c d)) e)
67.0ms	(+ (+ (+ b (+ c d)) e) a)

simplify414.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
2	908
1	237
0	81

prune247.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes459.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

646.0ms	8000×	pre	80	true
244.0ms	8000×	body	80	valid