Details

sample70.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
19.0ms	255×	body	80	nan

simplify103.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	65
4	65
3	61
2	43
1	22
0	11

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.6b

localize34.0ms

Local error

Found 2 expressions with local error:

0.8b	(fma y (+ z x) (* z x))
21.4b	(sqrt (fma y (+ z x) (* z x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

1.0ms	(fma y (+ z x) (* z x))
4.0ms	(sqrt (fma y (+ z x) (* z x)))

series280.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(fma y (+ z x) (* z x))
226.0ms	(sqrt (fma y (+ z x) (* z x)))

simplify2.3s

Counts

31 → 31

Iterations

Iter	Nodes
done	5006
3	1036
2	265
1	104
0	51

prune328.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 22.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma y (+ z x) (* z x))
0.8b	(fma y (+ z x) (* z x))
21.4b	(sqrt (fma y (+ z x) (* z x)))
21.4b	(sqrt (fma y (+ z x) (* z x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(fma y (+ z x) (* z x))
1.0ms	(fma y (+ z x) (* z x))
12.0ms	(sqrt (fma y (+ z x) (* z x)))
11.0ms	(sqrt (fma y (+ z x) (* z x)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma y (+ z x) (* z x))
87.0ms	(fma y (+ z x) (* z x))
232.0ms	(sqrt (fma y (+ z x) (* z x)))
278.0ms	(sqrt (fma y (+ z x) (* z x)))

simplify4.0s

Counts

62 → 62

Iterations

Iter	Nodes
done	5006
3	1036
2	265
1	104
0	51

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 22.6b

localize514.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (fma y (+ z x) (* z x)))
22.0b	(cbrt (fma y (+ z x) (* z x)))
22.0b	(cbrt (fma y (+ z x) (* z x)))
22.0b	(cbrt (fma y (+ z x) (* z x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

8.0ms	(sqrt (fma y (+ z x) (* z x)))
2.0ms	(cbrt (fma y (+ z x) (* z x)))
2.0ms	(cbrt (fma y (+ z x) (* z x)))
42.0ms	(cbrt (fma y (+ z x) (* z x)))

series2.1s

Counts

4 → 12

Calls

4 calls:

264.0ms	(sqrt (fma y (+ z x) (* z x)))
524.0ms	(cbrt (fma y (+ z x) (* z x)))
561.0ms	(cbrt (fma y (+ z x) (* z x)))
794.0ms	(cbrt (fma y (+ z x) (* z x)))

simplify8.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
4	2298
3	818
2	322
1	153
0	71

prune927.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.6b

localize75.0ms

Local error

Found 4 expressions with local error:

5.8b	(sqrt (* (cbrt (fma y (+ z x) (* z x))) (cbrt (fma y (+ z x) (* z x)))))
22.0b	(cbrt (fma y (+ z x) (* z x)))
22.0b	(cbrt (fma y (+ z x) (* z x)))
22.0b	(cbrt (fma y (+ z x) (* z x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
9×	`cbrt-prod` `sqrt-pow1` `pow1/3`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `rem-sqrt-square` `pow-plus` `pow1/2` `sqrt-prod`

Counts

4 → 60

Calls

4 calls:

14.0ms	(sqrt (* (cbrt (fma y (+ z x) (* z x))) (cbrt (fma y (+ z x) (* z x)))))
2.0ms	(cbrt (fma y (+ z x) (* z x)))
2.0ms	(cbrt (fma y (+ z x) (* z x)))
3.0ms	(cbrt (fma y (+ z x) (* z x)))

series2.1s

Counts

4 → 12

Calls

4 calls:

515.0ms	(sqrt (* (cbrt (fma y (+ z x) (* z x))) (cbrt (fma y (+ z x) (* z x)))))
514.0ms	(cbrt (fma y (+ z x) (* z x)))
532.0ms	(cbrt (fma y (+ z x) (* z x)))
574.0ms	(cbrt (fma y (+ z x) (* z x)))

simplify4.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
5	2755
4	1111
3	554
2	252
1	121
0	65

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 22.5b

regimes972.0ms

Accuracy

0% (0.1b remaining)

Error of 20.1b against oracle of 20.0b and baseline of 20.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.9s	7850×	body	80	nan
1.0s	8000×	body	80	valid