Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify1.0s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

series92.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

92.0ms

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

simplify3.7s

Counts: 14 → 14

prune98.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

27.3b	(sqrt (fma (* x x) x (* x x)))
27.3b	(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))

rewrite20.0ms

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

14.0ms	(* (sqrt (fma (* x x) x (* x x))) (sqrt (fma (* x x) x (* x x))))
2.0ms	(sqrt (fma (* x x) x (* x x)))
2.0ms	(sqrt (fma (* x x) x (* x x)))
0.0ms	(fma (* x x) x (* x x))

series332.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

102.0ms	(* (sqrt (fma (* x x) x (* x x))) (sqrt (fma (* x x) x (* x x))))
102.0ms	(fma (* x x) x (* x x))
70.0ms	(sqrt (fma (* x x) x (* x x)))
58.0ms	(sqrt (fma (* x x) x (* x x)))

simplify2.5s

Counts: 107 → 107

prune742.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

27.3b	(sqrt (fma (* x x) x (* x x)))
27.3b	(sqrt (fma (* x x) x (* x x)))
7.3b	(log (exp (sqrt (fma (* x x) x (* x x)))))
0.0b	(* (sqrt (fma (* x x) x (* x x))) (log (exp (sqrt (fma (* x x) x (* x x))))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
14×	`log-pow`
12×	`exp-prod`
10×	`pow1` `associate-r`
9×	`log-prod`
6×	`add-cbrt-cube` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `unswap-sqr`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

Slowest

13.0ms	(* (sqrt (fma (* x x) x (* x x))) (log (exp (sqrt (fma (* x x) x (* x x))))))
6.0ms	(log (exp (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)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(* (sqrt (fma (* x x) x (* x x))) (log (exp (sqrt (fma (* x x) x (* x x))))))
54.0ms	(sqrt (fma (* x x) x (* x x)))
45.0ms	(sqrt (fma (* x x) x (* x x)))
42.0ms	(log (exp (sqrt (fma (* x x) x (* x x)))))

simplify1.7s

Counts: 103 → 103

prune747.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample776.0ms

Algorithm

intervals

Results

405.0ms	8000×	body	80	valid
235.0ms	8000×	pre	80	true