Details

sample245.0ms

Algorithm

intervals

Results

107.0ms	803×	body	80	nan
18.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt (- x 1)) (sqrt x))

rewrite28.0ms

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:

26.0ms

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

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

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

simplify2.8s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
4	4046
3	1266
2	469
1	199
0	87

prune149.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:

51.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify2.9s

Counts

27 → 27

Iterations

Iter	Nodes
done	5001
3	2700
2	532
1	174
0	60

prune70.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

31.2b

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

rewrite9.0ms

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:

9.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify3.4s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
4	1841
3	669
2	265
1	119
0	53

prune88.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.6s	24555×	body	80	nan
652.0ms	7991×	body	80	valid
1.0ms	9×	body	160	valid