Details

sample215.0ms

Algorithm

intervals

Results

72.0ms	803×	body	80	nan
59.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

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:

60.0ms

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

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

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

simplify2.6s

Counts

42 → 42

Iterations

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

prune131.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 41

Calls

1 calls:

37.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify1.5s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
2	1421
1	348
0	127

prune155.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

31.2b

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
13×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-l*`
4×	`pow1` `add-cube-cbrt`
3×	`associate-r`
2×	`rem-sqrt-square` `sqrt-pow1` `sqrt-div` `associate-*l/` `difference-of-squares` `unswap-sqr`
1×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `pow1/2` `difference-of-sqr-1` `pow-prod-down` `add-exp-log` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

51.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify3.5s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	1792
3	721
2	338
1	172
0	88

prune120.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

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

sample4.2s

Algorithm

intervals

Results

3.2s	24555×	body	80	nan
522.0ms	7991×	body	80	valid
1.0ms	9×	body	160	valid