Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify964.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2037
8	2037
7	1178
6	421
5	190
4	93
3	48
2	30
1	14
0	4

prune4.0ms

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:

0.0ms

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

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

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

simplify1.1s

Counts

14 → 14

Iterations

Iter	Nodes
done	2026
5	2026
4	1279
3	275
2	85
1	31
0	19

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* x x) x (* x x))
0.0b	(* (sqrt (fma (* x x) x (* x x))) (sqrt (fma (* x x) x (* x x))))
27.0b	(sqrt (fma (* x x) x (* x x)))
27.0b	(sqrt (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:

0.0ms	(fma (* x x) x (* x x))
8.0ms	(* (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)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(fma (* x x) x (* x x))
113.0ms	(* (sqrt (fma (* x x) x (* x x))) (sqrt (fma (* x x) x (* x x))))
69.0ms	(sqrt (fma (* x x) x (* x x)))
54.0ms	(sqrt (fma (* x x) x (* x x)))

simplify1.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	2000
4	2000
3	1478
2	401
1	149
0	83

prune230.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

27.0b	(sqrt (fma (* x x) x (* x x)))
27.0b	(sqrt (fma (* x x) x (* x x)))
27.0b	(sqrt (fma (* x x) x (* x x)))
27.0b	(sqrt (fma (* x x) x (* x x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

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

series174.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (fma (* x x) x (* x x)))
44.0ms	(sqrt (fma (* x x) x (* x x)))
41.0ms	(sqrt (fma (* x x) x (* x x)))
47.0ms	(sqrt (fma (* x x) x (* x x)))

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	2007
5	2007
4	1475
3	489
2	192
1	78
0	40

prune391.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	3
0	3

end0.0ms

sample830.0ms

Algorithm

intervals

Results

438.0ms	8000×	body	80	valid
269.0ms	8000×	pre	80	true