Details

sample122.0ms

Algorithm

intervals

Results

19.0ms

262×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	65	12
3	132	12
4	198	12
5	238	12
6	274	12
7	294	12
8	334	12
9	407	12
10	528	12
11	1310	12
done	5000	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
19.1b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

74.0ms	(* (+ t1 u) (+ t1 u))
32.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (+ t1 u) (+ t1 u))
138.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.4s

Counts

76 → 76

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	113	1078
1	365	990
2	1712	834
done	5000	831

prune211.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.5b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

15.0ms	(/ (- t1) (+ t1 u))
23.0ms	(/ v (+ t1 u))
130.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series326.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- t1) (+ t1 u))
47.0ms	(/ v (+ t1 u))
224.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.7s

Counts

201 → 201

Iterations

Useful iterations: 2 (423.0ms)

Iter	Nodes	Cost
0	213	2501
1	579	2385
2	1817	2231
done	5001	2231

prune628.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ (+ t1 u) v)
0.6b	(/ 1 (/ (+ t1 u) v))
1.5b	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

289×	`times-frac`
248×	`*-un-lft-identity`
185×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
64×	`add-exp-log`
53×	`associate-r`
46×	`associate-l` `distribute-lft-out`
34×	`add-cbrt-cube`
30×	`div-exp`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
23×	`associate-/r*`
17×	`associate-/l*`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
10×	`unswap-sqr`
9×	`neg-mul-1`
7×	`pow1`
6×	`rec-exp` `1-exp` `associate-/r/` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`distribute-frac-neg` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 334

Calls

4 calls:

22.0ms	(/ (- t1) (+ t1 u))
20.0ms	(/ (+ t1 u) v)
25.0ms	(/ 1 (/ (+ t1 u) v))
142.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (- t1) (+ t1 u))
33.0ms	(/ (+ t1 u) v)
107.0ms	(/ 1 (/ (+ t1 u) v))
181.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify1.8s

Counts

346 → 346

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	359	5113
1	975	4380
2	2720	3893
done	5000	3869

prune882.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ t1 u) v)
0.5b	(/ (/ (- t1) (/ (+ t1 u) v)) (+ t1 u))
5.5b	(/ (- t1) (/ (+ t1 u) v))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

2364×	`times-frac`
1668×	`*-un-lft-identity`
962×	`add-sqr-sqrt` `add-cube-cbrt`
353×	`distribute-lft-out`
291×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
179×	`associate-/l*`
97×	`neg-mul-1`
69×	`div-inv`
23×	`associate-/r*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
8×	`associate-/r/`
3×	`pow1` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`neg-sub0` `flip3-+` `flip-+`

Counts

3 → 1086

Calls

3 calls:

27.0ms	(/ (+ t1 u) v)
109.0ms	(/ (/ (- t1) (/ (+ t1 u) v)) (+ t1 u))
48.0ms	(/ (- t1) (/ (+ t1 u) v))

series283.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (+ t1 u) v)
154.0ms	(/ (/ (- t1) (/ (+ t1 u) v)) (+ t1 u))
95.0ms	(/ (- t1) (/ (+ t1 u) v))

simplify2.0s

Counts

1095 → 1095

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	1096	25923
1	2576	23821
done	5000	23141

prune2.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	32
1	21	30
done	21	30

end0.0ms

sample1.3s

Algorithm

intervals

Results

950.0ms

8278×

body

valid