Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	68×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	5

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize11.0ms

Local error

Found 1 expressions with local error:

22.8b

(sqrt (fma x x y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(sqrt (fma x x y))

series70.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(sqrt (fma x x y))

simplify909.0ms

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
3	901
2	208
1	76
0	37

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ -1/2 (/ x y)) x)
0.7b	(/ -1/2 (/ x y))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

342×	`times-frac`
237×	`add-sqr-sqrt`
230×	`*-un-lft-identity`
228×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
21×	`div-inv`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `difference-of-squares`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

2 → 266

Calls

2 calls:

60.0ms	(- (/ -1/2 (/ x y)) x)
8.0ms	(/ -1/2 (/ x y))

series54.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (/ -1/2 (/ x y)) x)
19.0ms	(/ -1/2 (/ x y))

simplify1.8s

Counts

272 → 272

Iterations

Iter	Nodes
done	5000
2	2979
1	811
0	327

prune969.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (/ y x) 1/2 x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y x) 1/2 x)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma (/ y x) 1/2 x)

simplify4.4s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	4911
4	864
3	195
2	58
1	24
0	17

prune58.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.9b

bsearch65.0ms

Steps

Iters	Range		Point
9	8.908836475256392e+77	1.558026422899287e+83	1.4962754851117796e+83
7	-7.355508189375281e+154	-1.4655417278048526e+153	-1.3694996904889312e+154

simplify4.0ms

Iterations

Iter	Nodes
done	17
0	17

end0.0ms

sample716.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
102.0ms	2606×	body	80	nan