Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify1.1s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

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))

series81.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

81.0ms

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

simplify277.0ms

Counts: 14 → 14

prune93.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

29.1b	(sqrt (fma (* x x) x (* x x)))
29.1b	(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))

rewrite12.0ms

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

8.0ms	(* (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))

series308.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(* (sqrt (fma (* x x) x (* x x))) (sqrt (fma (* x x) x (* x x))))
101.0ms	(fma (* x x) x (* x x))
49.0ms	(sqrt (fma (* x x) x (* x x)))
45.0ms	(sqrt (fma (* x x) x (* x x)))

simplify388.0ms

Counts: 118 → 107

prune623.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

29.1b	(sqrt (fma (* x x) x (* x x)))
0.1b	(* x (* x x))
0.0b	(* (fma -1/8 (* x (* x x)) (fma 1/2 (* x x) x)) (sqrt (fma (* x x) x (* x x))))
0.0b	(fma -1/8 (* x (* x x)) (fma 1/2 (* x x) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

Slowest

18.0ms	(* x (* x x))
7.0ms	(* (fma -1/8 (* x (* x x)) (fma 1/2 (* x x) x)) (sqrt (fma (* x x) x (* x x))))
2.0ms	(sqrt (fma (* x x) x (* x x)))
0.0ms	(fma -1/8 (* x (* x x)) (fma 1/2 (* x x) x))

series277.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(* (fma -1/8 (* x (* x x)) (fma 1/2 (* x x) x)) (sqrt (fma (* x x) x (* x x))))
60.0ms	(sqrt (fma (* x x) x (* x x)))
57.0ms	(* x (* x x))
32.0ms	(fma -1/8 (* x (* x x)) (fma 1/2 (* x x) x))

simplify1.0s

Counts: 92 → 91

prune705.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

720.0ms	8000×	body	80	valid
264.0ms	8000×	pre	80	true