Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	243×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	3×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	640	valid

simplify65.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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:

12.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify2.5s

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
4	4576
3	1234
2	335
1	109
0	46

prune98.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 x (- (* y (/ 3.0 8.0))))
40.5b	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma 1 x (- (* y (/ 3.0 8.0))))
1.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(fma 1 x (- (* y (/ 3.0 8.0))))
57.0ms	(fma (- y) (/ 3.0 8.0) (* y (/ 3.0 8.0)))

simplify2.2s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
4	1307
3	284
2	98
1	54
0	37

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 3.0 (/ 8.0 y)))
0.3b	(/ 3.0 (/ 8.0 y))
0.3b	(/ 3.0 (/ 8.0 y))
0.3b	(/ 3.0 (/ 8.0 y))

rewrite114.0ms

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:

38.0ms	(- x (/ 3.0 (/ 8.0 y)))
14.0ms	(/ 3.0 (/ 8.0 y))
19.0ms	(/ 3.0 (/ 8.0 y))
10.0ms	(/ 3.0 (/ 8.0 y))

series115.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- x (/ 3.0 (/ 8.0 y)))
19.0ms	(/ 3.0 (/ 8.0 y))
23.0ms	(/ 3.0 (/ 8.0 y))
27.0ms	(/ 3.0 (/ 8.0 y))

simplify1.9s

Counts

385 → 385

Iterations

Iter	Nodes
done	5000
2	4795
1	1335
0	491

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 3.0 (/ 8.0 y))
0.3b	(/ 3.0 (/ 8.0 y))
0.3b	(* (cbrt 3.0) y)
27.3b	(- (/ 3.0 (/ 8.0 y)) (* (/ (* (cbrt 3.0) (cbrt 3.0)) 8.0) (* (cbrt 3.0) y)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

283×	`times-frac`
165×	`add-sqr-sqrt`
162×	`add-cube-cbrt`
161×	`*-un-lft-identity`
44×	`fma-neg` `prod-diff`
26×	`associate-/r*`
19×	`div-inv`
16×	`add-exp-log`
15×	`add-cbrt-cube`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-l` `associate-/l*` `add-log-exp`
4×	`cbrt-prod` `expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`associate-r`
2×	`clear-num` `frac-2neg` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

4 → 276

Calls

4 calls:

9.0ms	(/ 3.0 (/ 8.0 y))
8.0ms	(/ 3.0 (/ 8.0 y))
18.0ms	(* (cbrt 3.0) y)
70.0ms	(- (/ 3.0 (/ 8.0 y)) (* (/ (* (cbrt 3.0) (cbrt 3.0)) 8.0) (* (cbrt 3.0) y)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 3.0 (/ 8.0 y))
22.0ms	(/ 3.0 (/ 8.0 y))
60.0ms	(* (cbrt 3.0) y)
190.0ms	(- (/ 3.0 (/ 8.0 y)) (* (/ (* (cbrt 3.0) (cbrt 3.0)) 8.0) (* (cbrt 3.0) y)))

simplify2.8s

Counts

288 → 288

Iterations

Iter	Nodes
done	5000
2	2601
1	672
0	258

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	23
2	23
1	19
0	12

end0.0ms

sample643.0ms

Algorithm

intervals

Results

342.0ms	7435×	body	80	valid
53.0ms	76×	body	2560	valid
43.0ms	210×	body	1280	valid
24.0ms	148×	body	640	valid
10.0ms	85×	body	320	valid
3.0ms	46×	body	160	valid