Details

sample99.0ms

Algorithm

intervals

Results

36.0ms

263×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
12	2008
11	1500
10	683
9	461
8	399
7	365
6	329
5	270
4	221
3	134
2	65
1	25
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.8b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-cbrt-cube` `add-exp-log`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`swap-sqr` `add-cube-cbrt` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `pow-prod-down` `distribute-frac-neg` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 76

Calls

2 calls:

31.0ms	(* (+ t1 u) (+ t1 u))
29.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ t1 u) (+ t1 u))
140.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify983.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
2	2000
1	427
0	118

prune699.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
0.8b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite82.0ms

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-cbrt-cube` `add-exp-log`
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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `distribute-frac-neg`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 201

Calls

3 calls:

10.0ms	(/ (- t1) (+ t1 u))
8.0ms	(/ v (+ t1 u))
61.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series277.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- t1) (+ t1 u))
40.0ms	(/ v (+ t1 u))
181.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.0s

Counts

210 → 210

Iterations

Iter	Nodes
done	2001
2	2001
1	656
0	222

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ (+ t1 u) v)
0.4b	(/ 1 (/ (+ t1 u) v))
0.8b	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

rewrite82.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
2×	`distribute-frac-neg` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 346

Calls

4 calls:

9.0ms	(/ (- t1) (+ t1 u))
15.0ms	(/ (+ t1 u) v)
14.0ms	(/ 1 (/ (+ t1 u) v))
38.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (- t1) (+ t1 u))
25.0ms	(/ (+ t1 u) v)
110.0ms	(/ 1 (/ (+ t1 u) v))
144.0ms	(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))

simplify1.2s

Counts

358 → 358

Iterations

Iter	Nodes
done	2004
2	2004
1	1159
0	372

prune3.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.3b	(/ (/ 1 (+ t1 u)) (/ 1 v))
0.8b	(* (/ (- t1) (+ t1 u)) (/ (/ 1 (+ t1 u)) (/ 1 v)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

1269×	`times-frac`
762×	`*-un-lft-identity`
618×	`add-sqr-sqrt`
538×	`add-cube-cbrt`
239×	`associate-r`
183×	`add-exp-log`
116×	`div-exp`
106×	`distribute-lft-out`
69×	`div-inv`
62×	`associate-/r/`
61×	`add-cbrt-cube`
46×	`associate-l`
34×	`prod-exp`
31×	`cbrt-undiv` `associate-/l*`
30×	`flip3-+` `flip-+`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
25×	`rec-exp` `1-exp`
21×	`associate-/r*`
20×	`unswap-sqr`
10×	`cbrt-unprod`
9×	`neg-mul-1`
7×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`distribute-frac-neg`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 778

Calls

4 calls:

16.0ms	(/ (- t1) (+ t1 u))
9.0ms	(/ 1 (+ t1 u))
19.0ms	(/ (/ 1 (+ t1 u)) (/ 1 v))
62.0ms	(* (/ (- t1) (+ t1 u)) (/ (/ 1 (+ t1 u)) (/ 1 v)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (- t1) (+ t1 u))
37.0ms	(/ 1 (+ t1 u))
76.0ms	(/ (/ 1 (+ t1 u)) (/ 1 v))
147.0ms	(* (/ (- t1) (+ t1 u)) (/ (/ 1 (+ t1 u)) (/ 1 v)))

simplify1.5s

Counts

790 → 790

Iterations

Iter	Nodes
done	2001
1	2001
0	816

prune8.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	29
5	29
4	26
3	24
2	21
1	17
0	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

794.0ms

8218×

body

valid