Details

sample32.0ms

Algorithm

intervals

Results

18.0ms	238×	body	80	valid
2.0ms	7×	body	2560	valid
1.0ms	5×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify63.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

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))

rewrite12.0ms

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:

11.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify743.0ms

Counts

24 → 24

Iterations

Iter	Nodes
done	2007
3	1234
2	335
1	109
0	46

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

426×	`times-frac`
289×	`add-sqr-sqrt`
282×	`*-un-lft-identity`
280×	`add-cube-cbrt`
132×	`prod-diff`
39×	`associate-/r*`
27×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `fma-neg` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 373

Calls

4 calls:

17.0ms	(- x (/ 3.0 (/ 8.0 y)))
8.0ms	(/ 3.0 (/ 8.0 y))
8.0ms	(/ 3.0 (/ 8.0 y))
8.0ms	(/ 3.0 (/ 8.0 y))

series111.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- x (/ 3.0 (/ 8.0 y)))
19.0ms	(/ 3.0 (/ 8.0 y))
22.0ms	(/ 3.0 (/ 8.0 y))
23.0ms	(/ 3.0 (/ 8.0 y))

simplify721.0ms

Counts

385 → 385

Iterations

Iter	Nodes
done	2001
1	1335
0	491

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 3.0 (/ 8.0 y))
0.4b	(/ 3.0 (/ 8.0 y))
0.5b	(/ (* (cbrt 3.0) (cbrt 3.0)) (/ (/ 8.0 y) (cbrt 3.0)))
26.0b	(+ (/ (* (cbrt 3.0) (cbrt 3.0)) (/ (/ 8.0 y) (cbrt 3.0))) (- (/ 3.0 (/ 8.0 y))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

710×	`times-frac`
300×	`*-un-lft-identity`
296×	`add-sqr-sqrt` `add-cube-cbrt`
117×	`cbrt-prod`
108×	`associate-/r*`
87×	`fma-def`
35×	`add-exp-log`
33×	`div-inv`
25×	`add-cbrt-cube`
18×	`cbrt-undiv` `div-exp`
8×	`add-log-exp`
7×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
2×	`sum-log` `distribute-lft-out`
1×	`neg-sub0` `+-commutative` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `neg-log` `frac-add` `flip-+` `distribute-neg-frac`

Counts

4 → 445

Calls

4 calls:

5.0ms	(/ 3.0 (/ 8.0 y))
5.0ms	(/ 3.0 (/ 8.0 y))
14.0ms	(/ (* (cbrt 3.0) (cbrt 3.0)) (/ (/ 8.0 y) (cbrt 3.0)))
53.0ms	(+ (/ (* (cbrt 3.0) (cbrt 3.0)) (/ (/ 8.0 y) (cbrt 3.0))) (- (/ 3.0 (/ 8.0 y))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 3.0 (/ 8.0 y))
22.0ms	(/ 3.0 (/ 8.0 y))
117.0ms	(/ (* (cbrt 3.0) (cbrt 3.0)) (/ (/ 8.0 y) (cbrt 3.0)))
116.0ms	(+ (/ (* (cbrt 3.0) (cbrt 3.0)) (/ (/ 8.0 y) (cbrt 3.0))) (- (/ 3.0 (/ 8.0 y))))

simplify853.0ms

Counts

457 → 457

Iterations

Iter	Nodes
done	2001
1	1674
0	562

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 3.0 (/ 8.0 y))
0.4b	(/ 3.0 (/ 8.0 y))
0.5b	(/ 1 (/ (/ 8.0 y) (cbrt 3.0)))
29.4b	(+ (* (* (cbrt 3.0) (cbrt 3.0)) (/ 1 (/ (/ 8.0 y) (cbrt 3.0)))) (- (/ 3.0 (/ 8.0 y))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

924×	`times-frac`
447×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
156×	`cbrt-prod`
108×	`associate-/r*`
39×	`div-inv`
35×	`add-exp-log`
21×	`add-cbrt-cube` `div-exp`
12×	`cbrt-undiv`
9×	`associate-/l*`
8×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/r/`
2×	`sum-log` `frac-add` `distribute-neg-frac`
1×	`neg-sub0` `+-commutative` `associate-+r-` `fma-def` `flip3-+` `unsub-neg` `neg-log` `associate-*r/` `un-div-inv` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 526

Calls

4 calls:

7.0ms	(/ 3.0 (/ 8.0 y))
7.0ms	(/ 3.0 (/ 8.0 y))
16.0ms	(/ 1 (/ (/ 8.0 y) (cbrt 3.0)))
33.0ms	(+ (* (* (cbrt 3.0) (cbrt 3.0)) (/ 1 (/ (/ 8.0 y) (cbrt 3.0)))) (- (/ 3.0 (/ 8.0 y))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ 3.0 (/ 8.0 y))
24.0ms	(/ 3.0 (/ 8.0 y))
74.0ms	(/ 1 (/ (/ 8.0 y) (cbrt 3.0)))
141.0ms	(+ (* (* (cbrt 3.0) (cbrt 3.0)) (/ 1 (/ (/ 8.0 y) (cbrt 3.0)))) (- (/ 3.0 (/ 8.0 y))))

simplify697.0ms

Counts

538 → 538

Iterations

Iter	Nodes
done	2000
0	750

prune3.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample871.0ms

Algorithm

intervals

Results

505.0ms	7410×	body	80	valid
89.0ms	227×	body	1280	valid
55.0ms	95×	body	2560	valid
33.0ms	146×	body	640	valid
13.0ms	76×	body	320	valid
5.0ms	46×	body	160	valid