Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	240×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	5×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

simplify137.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
7	54
6	51
5	48
4	42
3	35
2	25
1	12
0	7

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 21

Calls

1 calls:

8.0ms

(- x (* (/ 3.0 8.0) y))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.9s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
3	1216
2	340
1	110
0	46

prune309.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (/ 8.0 3.0)))
0.4b	(/ y (/ 8.0 3.0))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
203×	`add-sqr-sqrt`
196×	`*-un-lft-identity`
194×	`add-cube-cbrt`
132×	`prod-diff`
17×	`div-inv`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `fma-neg` `div-exp` `associate-/l*` `difference-of-squares`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

2 → 227

Calls

2 calls:

78.0ms	(- x (/ y (/ 8.0 3.0)))
25.0ms	(/ y (/ 8.0 3.0))

series91.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- x (/ y (/ 8.0 3.0)))
34.0ms	(/ y (/ 8.0 3.0))

simplify6.8s

Counts

233 → 233

Iterations

Iter	Nodes
done	5000
2	4865
1	1332
0	491

prune3.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize72.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ 1 (sqrt (/ 8.0 3.0))) (/ y (sqrt (/ 8.0 3.0)))))
0.0b	(/ y (sqrt (/ 8.0 3.0)))
0.5b	(* (/ 1 (sqrt (/ 8.0 3.0))) (/ y (sqrt (/ 8.0 3.0))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
240×	`add-sqr-sqrt`
160×	`sqrt-prod`
148×	`*-un-lft-identity`
136×	`add-cube-cbrt`
53×	`associate-r` `associate-l`
28×	`unswap-sqr`
27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-/r*`
13×	`div-inv`
9×	`div-exp`
8×	`prod-exp`
5×	`pow1` `cbrt-undiv` `add-log-exp`
4×	`cbrt-unprod`
3×	`expm1-log1p-u` `fma-neg` `sqrt-div` `prod-diff` `associate-/r/` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`rec-exp` `1-exp`
1×	`frac-times` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

3 → 265

Calls

3 calls:

15.0ms	(- x (* (/ 1 (sqrt (/ 8.0 3.0))) (/ y (sqrt (/ 8.0 3.0)))))
14.0ms	(/ y (sqrt (/ 8.0 3.0)))
171.0ms	(* (/ 1 (sqrt (/ 8.0 3.0))) (/ y (sqrt (/ 8.0 3.0))))

series359.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(- x (* (/ 1 (sqrt (/ 8.0 3.0))) (/ y (sqrt (/ 8.0 3.0)))))
88.0ms	(/ y (sqrt (/ 8.0 3.0)))
114.0ms	(* (/ 1 (sqrt (/ 8.0 3.0))) (/ y (sqrt (/ 8.0 3.0))))

simplify4.8s

Counts

274 → 274

Iterations

Iter	Nodes
done	5000
2	2619
1	1080
0	398

prune3.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ y (sqrt (/ (sqrt 8.0) 3.0)))
0.3b	(* (/ (/ 1 (sqrt (sqrt 8.0))) (sqrt (/ 8.0 3.0))) (/ y (sqrt (/ (sqrt 8.0) 3.0))))
1.0b	(/ (sqrt 8.0) 3.0)
1.0b	(sqrt (sqrt 8.0))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

1863×	`times-frac`
1322×	`sqrt-prod`
1263×	`add-sqr-sqrt`
769×	`*-un-lft-identity`
724×	`add-cube-cbrt`
501×	`associate-l`
110×	`unswap-sqr`
80×	`associate-r`
58×	`div-inv`
43×	`add-exp-log`
29×	`add-cbrt-cube`
28×	`associate-/r*`
19×	`div-exp`
11×	`cbrt-undiv`
10×	`prod-exp`
9×	`associate-/l*`
8×	`pow1`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-div` `associate-/r/`
2×	`rem-sqrt-square` `rec-exp` `clear-num` `frac-2neg` `pow1/2` `1-exp`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 905

Calls

4 calls:

37.0ms	(/ y (sqrt (/ (sqrt 8.0) 3.0)))
953.0ms	(* (/ (/ 1 (sqrt (sqrt 8.0))) (sqrt (/ 8.0 3.0))) (/ y (sqrt (/ (sqrt 8.0) 3.0))))
9.0ms	(/ (sqrt 8.0) 3.0)
4.0ms	(sqrt (sqrt 8.0))

series591.0ms

Counts

4 → 8

Calls

4 calls:

283.0ms	(/ y (sqrt (/ (sqrt 8.0) 3.0)))
308.0ms	(* (/ (/ 1 (sqrt (sqrt 8.0))) (sqrt (/ 8.0 3.0))) (/ y (sqrt (/ (sqrt 8.0) 3.0))))
0.0ms	(/ (sqrt 8.0) 3.0)
0.0ms	(sqrt (sqrt 8.0))

simplify4.6s

Counts

913 → 913

Iterations

Iter	Nodes
done	5002
1	2805
0	914

prune11.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes276.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify18.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample765.0ms

Algorithm

intervals

Results

364.0ms	7399×	body	80	valid
41.0ms	242×	body	1280	valid
21.0ms	94×	body	2560	valid
18.0ms	133×	body	640	valid
9.0ms	90×	body	320	valid
3.0ms	42×	body	160	valid