Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	31
3	31
2	24
1	14
0	9

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.4b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z z (fma y y (* x x)))
32.7b	(sqrt (fma z z (fma y y (* x x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

0.0ms	(fma z z (fma y y (* x x)))
2.0ms	(sqrt (fma z z (fma y y (* x x))))

series275.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(fma z z (fma y y (* x x)))
202.0ms	(sqrt (fma z z (fma y y (* x x))))

simplify3.3s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
4	4450
3	590
2	151
1	60
0	38

prune243.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (cbrt (fma z z (fma y y (* x x)))))
0.3b	(* (fabs (cbrt (fma z z (fma y y (* x x))))) (sqrt (cbrt (fma z z (fma y y (* x x))))))
33.9b	(cbrt (fma z z (fma y y (* x x))))
33.9b	(cbrt (fma z z (fma y y (* x x))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
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:

4.0ms	(sqrt (cbrt (fma z z (fma y y (* x x)))))
22.0ms	(* (fabs (cbrt (fma z z (fma y y (* x x))))) (sqrt (cbrt (fma z z (fma y y (* x x))))))
1.0ms	(cbrt (fma z z (fma y y (* x x))))
1.0ms	(cbrt (fma z z (fma y y (* x x))))

series918.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(sqrt (cbrt (fma z z (fma y y (* x x)))))
289.0ms	(* (fabs (cbrt (fma z z (fma y y (* x x))))) (sqrt (cbrt (fma z z (fma y y (* x x))))))
206.0ms	(cbrt (fma z z (fma y y (* x x))))
194.0ms	(cbrt (fma z z (fma y y (* x x))))

simplify2.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4867
2	1013
1	267
0	124

prune669.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 18.1b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune8.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 18.1b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 18.1b

regimes352.0ms

Accuracy

63.7% (7.2b remaining)

Error of 25.7b against oracle of 18.5b and baseline of 38.2b

bsearch138.0ms

Steps

Iters	Range		Point
9	2.699479943071983e+113	1.2388519257666938e+120	2.299090396283016e+118
8	-3.535193227866466e+156	-9.216320023984552e+152	-1.5659897593589712e+153

simplify2.0ms

Iterations

Iter	Nodes
done	14
0	14

end0.0ms

sample977.0ms

Algorithm

intervals

Results

595.0ms

8000×

body

valid