Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify613.0ms

Counts

1 → 1

Iterations

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

prune20.0ms

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))

rewrite140.0ms

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:

13.0ms	(+ c (+ d e))
126.0ms	(+ (+ c (+ d e)) (+ b a))

series104.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ c (+ d e))
75.0ms	(+ (+ c (+ d e)) (+ b a))

simplify766.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	1569
1	310
0	92

prune282.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize36.0ms

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:

172.0ms	(- (+ (+ d e) c) (+ a b))
187.0ms	(- (+ (+ d e) c) (+ a b))
539.0ms	(/ (* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b))) (- (+ (+ d e) c) (+ a b)))
712.0ms	(* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b)))

series757.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (+ (+ d e) c) (+ a b))
86.0ms	(- (+ (+ d e) c) (+ a b))
103.0ms	(/ (* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b))) (- (+ (+ d e) c) (+ a b)))
487.0ms	(* (+ (+ a (+ b e)) (+ c d)) (- (+ (+ d e) c) (+ a b)))

simplify670.0ms

Counts

246 → 246

Iterations

Iter	Nodes
done	5001
1	1238
0	346

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite203.0ms

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:

22.0ms	(+ (+ c d) e)
179.0ms	(+ (+ (+ c d) e) (+ b a))

series105.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (+ c d) e)
76.0ms	(+ (+ (+ c d) e) (+ b a))

simplify553.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	1559
1	299
0	92

prune226.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite688.0ms

Algorithm

rewrite-expression-head

Rules

424×	`*-un-lft-identity`
285×	`distribute-lft-out`
135×	`sqrt-prod`
90×	`sqrt-div`
85×	`flip3-+` `flip-+`
68×	`frac-add`
56×	`swap-sqr`
46×	`add-log-exp`
36×	`frac-times`
30×	`sum-log`
26×	`add-sqr-sqrt`
20×	`pow1`
13×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
9×	`sqrt-pow1` `pow1/2`
6×	`add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-+r+`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 238

Calls

4 calls:

98.0ms	(sqrt (+ (+ c d) (+ e (+ a b))))
73.0ms	(+ (+ c d) (+ e (+ a b)))
61.0ms	(+ (+ c d) (+ e (+ a b)))
437.0ms	(* (sqrt (+ (+ c d) (+ e (+ a b)))) (sqrt (+ (+ c d) (+ e (+ a b)))))

series873.0ms

Counts

4 → 12

Calls

4 calls:

532.0ms	(sqrt (+ (+ c d) (+ e (+ a b))))
62.0ms	(+ (+ c d) (+ e (+ a b)))
76.0ms	(+ (+ c d) (+ e (+ a b)))
202.0ms	(* (sqrt (+ (+ c d) (+ e (+ a b)))) (sqrt (+ (+ c d) (+ e (+ a b)))))

simplify1.5s

Counts

250 → 250

Iterations

Iter	Nodes
done	5001
2	2630
1	581
0	255

prune829.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes376.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

337.0ms	8000×	body	80	valid
316.0ms	8000×	pre	80	true