Details

sample456.0ms

Algorithm

intervals

Results

255.0ms	804×	body	80	nan
19.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	11
2	11
1	10
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1)) (sqrt x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`sqrt-prod`
10×	`associate-l`
8×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `sqrt-unprod` `difference-of-sqr-1` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

38.0ms

(* (sqrt (- x 1)) (sqrt x))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(* (sqrt (- x 1)) (sqrt x))

simplify1.6s

Counts

42 → 42

Iterations

Iter	Nodes
4	2318
3	969
2	413
1	192
0	87

prune333.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ -1/2 x) (/ -1/8 x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-log-exp`
4×	`fma-def` `distribute-lft-out`
3×	`sum-log`
2×	`add-sqr-sqrt` `flip3-+` `frac-add` `add-cube-cbrt` `flip-+`
1×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`

Counts

1 → 24

Calls

1 calls:

44.0ms

(+ (+ -1/2 x) (/ -1/8 x))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ (+ -1/2 x) (/ -1/8 x))

simplify764.0ms

Counts

27 → 27

Iterations

Iter	Nodes
3	2037
2	490
1	171
0	60

prune135.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

34.3b

(sqrt (* (- x 1) x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*l/`
1×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `pow1/2` `pow-prod-down` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

10.0ms

(sqrt (* (- x 1) x))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(sqrt (* (- x 1) x))

simplify7.7s

Counts

19 → 19

Iterations

Iter	Nodes
5	4200
4	1606
3	629
2	250
1	113
0	53

prune93.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	8
1	8
0	6

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.6s	24010×	body	80	nan
566.0ms	7991×	body	80	valid
1.0ms	9×	body	160	valid