Details

sample175.0ms

Algorithm

intervals

Results

65.0ms	748×	body	80	nan
17.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify41.0ms

Counts: 1 → 1

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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×	`flip3--` `sqrt-unprod` `difference-of-sqr-1` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

Slowest

19.0ms

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

series98.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

98.0ms

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

simplify891.0ms

Counts: 40 → 40

prune337.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`add-sqr-sqrt`
2×	`diff-log` `distribute-lft-out--`
1×	`pow1` `sum-log` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

1 → 18

Calls

1 calls:

Slowest

27.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

26.0ms

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

simplify1.8s

Counts: 21 → 21

prune177.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

30.5b	(sqrt (- (* x x) x))
0.0b	(- (* x x) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `sqrt-prod`
4×	`add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`flip3--` `add-cbrt-cube` `distribute-rgt-out--` `sqrt-div` `add-exp-log` `insert-posit16` `flip--` `difference-of-squares`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

2 → 33

Calls

2 calls:

Slowest

17.0ms	(sqrt (- (* x x) x))
15.0ms	(- (* x x) x)

series110.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

59.0ms	(- (* x x) x)
51.0ms	(sqrt (- (* x x) x))

simplify849.0ms

Counts: 39 → 39

prune300.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.9s	24108×	body	80	nan
661.0ms	7985×	body	80	valid
2.0ms	15×	body	160	valid