Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	12
1	14	11
2	24	10
3	30	10
done	30	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.3b

localize9.0ms

Local error

Found 1 expressions with local error:

33.8b

(sqrt (fma z z (fma x x (* y y))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

2.0ms

(sqrt (fma z z (fma x x (* y y))))

series136.0ms

Counts

1 → 3

Calls

1 calls:

136.0ms

(sqrt (fma z z (fma x x (* y y))))

simplify1.7s

Counts

18 → 18

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	26	207
1	37	180
2	50	172
3	82	172
4	139	172
5	189	172
6	210	172
7	278	172
8	551	172
9	1963	172
done	5001	172

prune65.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (fma z z (fma x x (* y y)))))
0.3b	(* (fabs (cbrt (fma z z (fma x x (* y y))))) (sqrt (cbrt (fma z z (fma x x (* y y))))))
34.9b	(cbrt (fma z z (fma x x (* y y))))
34.9b	(cbrt (fma z z (fma x x (* y y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

3.0ms	(sqrt (cbrt (fma z z (fma x x (* y y)))))
16.0ms	(* (fabs (cbrt (fma z z (fma x x (* y y))))) (sqrt (cbrt (fma z z (fma x x (* y y))))))
1.0ms	(cbrt (fma z z (fma x x (* y y))))
1.0ms	(cbrt (fma z z (fma x x (* y y))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (cbrt (fma z z (fma x x (* y y)))))
171.0ms	(* (fabs (cbrt (fma z z (fma x x (* y y))))) (sqrt (cbrt (fma z z (fma x x (* y y))))))
138.0ms	(cbrt (fma z z (fma x x (* y y))))
139.0ms	(cbrt (fma z z (fma x x (* y y))))

simplify1.9s

Counts

86 → 86

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	124	1771
1	264	1665
2	744	1498
3	2069	1456
done	5001	1454

prune310.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 18.8b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 18.8b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 18.8b

regimes130.0ms

Accuracy

60.9% (7.4b remaining)

Error of 25.9b against oracle of 18.5b and baseline of 37.4b

bsearch60.0ms

Steps

Iters	Range		Point
7	1.6359635431875576e+36	2.1715594768763905e+38	2.1247336605333076e+38
9	-1.4024819724340995e+124	-1.7611434359108513e+116	-7.292754604329646e+123

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	21
done	14	21

end0.0ms

sample491.0ms

Algorithm

intervals

Results

242.0ms

8000×

body

valid