Details

sample98.0ms

Algorithm

intervals

Results

34.0ms	257×	body	160	nan
28.0ms	491×	body	80	nan
18.0ms	256×	body	80	valid

simplify14.4s

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize13.0ms

Local error

Found 2 expressions with local error:

30.5b	(sqrt (fma x x -1))
0.0b	(+ x (sqrt (fma x x -1)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `add-log-exp`
3×	`pow1` `fma-def` `sqrt-prod`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`

Counts

2 → 34

Calls

2 calls:

Slowest

5.0ms	(+ x (sqrt (fma x x -1)))
1.0ms	(sqrt (fma x x -1))

series139.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

87.0ms	(+ x (sqrt (fma x x -1)))
52.0ms	(sqrt (fma x x -1))

simplify926.0ms

Counts: 40 → 40

prune377.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ 1/8 x) (* x x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
3×	`div-inv`
2×	`prod-exp` `cbrt-unprod`
1×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

1 → 49

Calls

1 calls:

Slowest

22.0ms

(/ (/ 1/8 x) (* x x))

series58.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

58.0ms

(/ (/ 1/8 x) (* x x))

simplify853.0ms

Counts: 52 → 52

prune520.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.7s	7724×	body	160	nan
1.3s	16384×	body	80	nan
821.0ms	8000×	body	80	valid