Details

sample197.0ms

Algorithm

intervals

Results

49.0ms	703×	body	80	nan
16.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify37.0ms

Counts: 1 → 1

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:

Slowest

31.0ms

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

series151.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

150.0ms

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

simplify849.0ms

Counts: 45 → 42

prune449.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune10.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.4b	(* (fabs (cbrt x)) (sqrt (+ x -1)))
0.3b	(* (* (fabs (cbrt x)) (sqrt (+ x -1))) (sqrt (cbrt x)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

Slowest

39.0ms	(* (* (fabs (cbrt x)) (sqrt (+ x -1))) (sqrt (cbrt x)))
19.0ms	(* (fabs (cbrt x)) (sqrt (+ x -1)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series822.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

316.0ms	(cbrt x)
294.0ms	(cbrt x)
151.0ms	(* (* (fabs (cbrt x)) (sqrt (+ x -1))) (sqrt (cbrt x)))
61.0ms	(* (fabs (cbrt x)) (sqrt (+ x -1)))

simplify1.4s

Counts: 102 → 98

prune881.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

29.0b

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

rewrite8.0ms

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:

Slowest

8.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

41.0ms

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

simplify600.0ms

Counts: 21 → 19

prune131.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.7s	23656×	body	80	nan
570.0ms	7992×	body	80	valid
1.0ms	8×	body	160	valid