Details

sample29.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify1.4s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* x x) x (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

0.0ms

(fma (* x x) x (* x x))

series116.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

116.0ms

(fma (* x x) x (* x x))

simplify3.4s

Counts: 14 → 14

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

29.4b	(sqrt (fma (* x x) x (* x x)))
29.4b	(sqrt (fma (* x x) x (* x x)))
0.0b	(* (sqrt (fma (* x x) x (* x x))) (sqrt (fma (* x x) x (* x x))))
0.0b	(fma (* x x) x (* x x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 95

Calls

4 calls:

Slowest

9.0ms	(* (sqrt (fma (* x x) x (* x x))) (sqrt (fma (* x x) x (* x x))))
1.0ms	(sqrt (fma (* x x) x (* x x)))
1.0ms	(sqrt (fma (* x x) x (* x x)))
0.0ms	(fma (* x x) x (* x x))

series322.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(fma (* x x) x (* x x))
113.0ms	(* (sqrt (fma (* x x) x (* x x))) (sqrt (fma (* x x) x (* x x))))
49.0ms	(sqrt (fma (* x x) x (* x x)))
46.0ms	(sqrt (fma (* x x) x (* x x)))

simplify2.3s

Counts: 107 → 107

prune863.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

30.5b	(cbrt (fma (* x x) x (* x x)))
30.5b	(cbrt (fma (* x x) x (* x x)))
30.5b	(cbrt (fma (* x x) x (* x x)))
29.4b	(sqrt (fma (* x x) x (* x x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 58

Calls

4 calls:

Slowest

1.0ms	(sqrt (fma (* x x) x (* x x)))
1.0ms	(cbrt (fma (* x x) x (* x x)))
1.0ms	(cbrt (fma (* x x) x (* x x)))
1.0ms	(cbrt (fma (* x x) x (* x x)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(cbrt (fma (* x x) x (* x x)))
61.0ms	(cbrt (fma (* x x) x (* x x)))
51.0ms	(cbrt (fma (* x x) x (* x x)))
46.0ms	(sqrt (fma (* x x) x (* x x)))

simplify897.0ms

Counts: 70 → 70

prune753.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample694.0ms

Algorithm

intervals

Results

388.0ms	8000×	body	80	valid
192.0ms	8000×	pre	80	true