Details

sample30.0ms

Algorithm

intervals

Results

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

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	39	7
3	66	7
4	85	7
5	87	7
done	87	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.0b	(* a (+ (+ b c) d))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

56.0ms	(+ (+ b c) d)
140.0ms	(* a (+ (+ b c) d))

series61.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (+ b c) d)
32.0ms	(* a (+ (+ b c) d))

simplify702.0ms

Counts

45 → 45

Iterations

Useful iterations: done (700.0ms)

Iter	Nodes	Cost
0	66	400
1	197	384
2	937	344
done	5000	342

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ b c) a) (* a d))
0.0b	(* (+ b c) a)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

17.0ms	(+ (* (+ b c) a) (* a d))
31.0ms	(* (+ b c) a)

series81.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* (+ b c) a) (* a d))
43.0ms	(* (+ b c) a)

simplify737.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	68	382
1	190	356
2	935	298
done	5002	298

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* a d))
0.1b	(sqrt (* (+ b c) a))
0.1b	(sqrt (* (+ b c) a))
0.5b	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*l/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

102.0ms	(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* a d))
8.0ms	(sqrt (* (+ b c) a))
7.0ms	(sqrt (* (+ b c) a))
90.0ms	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a))) (* a d))
173.0ms	(sqrt (* (+ b c) a))
140.0ms	(sqrt (* (+ b c) a))
28.0ms	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify1.0s

Counts

106 → 106

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	123	1518
1	321	1020
2	1475	936
done	5000	916

prune314.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ b c) a)
0.1b	(sqrt (* (+ b c) a))
0.4b	(* (sqrt a) (sqrt (* (+ b c) a)))
0.4b	(* (sqrt (+ b c)) (* (sqrt a) (sqrt (* (+ b c) a))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
17×	`add-sqr-sqrt` `associate-l` `pow-prod-down`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`sqrt-pow1`
11×	`add-cube-cbrt`
10×	`associate-*r/` `sqrt-prod`
9×	`flip3-+` `flip-+`
8×	`associate-r`
6×	`pow1/2`
5×	`prod-exp` `cbrt-unprod`
4×	`frac-times` `add-log-exp`
3×	`sqrt-unprod` `*-commutative` `unswap-sqr`
2×	`distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

28.0ms	(* (+ b c) a)
8.0ms	(sqrt (* (+ b c) a))
57.0ms	(* (sqrt a) (sqrt (* (+ b c) a)))
142.0ms	(* (sqrt (+ b c)) (* (sqrt a) (sqrt (* (+ b c) a))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ b c) a)
155.0ms	(sqrt (* (+ b c) a))
88.0ms	(* (sqrt a) (sqrt (* (+ b c) a)))
193.0ms	(* (sqrt (+ b c)) (* (sqrt a) (sqrt (* (+ b c) a))))

simplify1.5s

Counts

109 → 109

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	180	1478
1	484	1345
2	2571	1261
done	5001	1251

prune453.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

335.0ms	8000×	pre	80	true
253.0ms	8000×	body	80	valid