Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
11.0ms	231×	body	80	nan

simplify42.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize15.0ms

Local error

Found 2 expressions with local error:

1.3b	(fma (+ x y) z (* y x))
17.3b	(sqrt (fma (+ x y) z (* y x)))

rewrite2.0ms

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

series177.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma (+ x y) z (* y x))
148.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify2.4s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
4	3724
3	729
2	230
1	105
0	51

prune219.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.1b

localize29.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma (+ x y) z (* y x))
1.3b	(fma (+ x y) z (* y x))
17.3b	(sqrt (fma (+ x y) z (* y x)))
17.3b	(sqrt (fma (+ x y) z (* y x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

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

series342.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (+ x y) z (* y x))
39.0ms	(fma (+ x y) z (* y x))
137.0ms	(sqrt (fma (+ x y) z (* y x)))
124.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify2.3s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
4	3724
3	729
2	230
1	105
0	51

prune459.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.1b

localize29.0ms

Local error

Found 4 expressions with local error:

17.3b	(sqrt (* (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))) (cbrt (fma (+ x y) z (* y x)))))
17.7b	(cbrt (fma (+ x y) z (* y x)))
17.7b	(cbrt (fma (+ x y) z (* y x)))
17.7b	(cbrt (fma (+ x y) z (* y x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 65

Calls

4 calls:

38.0ms	(sqrt (* (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))) (cbrt (fma (+ x y) z (* y x)))))
1.0ms	(cbrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

180.0ms	(sqrt (* (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))) (cbrt (fma (+ x y) z (* y x)))))
336.0ms	(cbrt (fma (+ x y) z (* y x)))
325.0ms	(cbrt (fma (+ x y) z (* y x)))
348.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify2.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
4	1976
3	789
2	347
1	185
0	89

prune598.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 18.1b

localize55.0ms

Local error

Found 4 expressions with local error:

4.6b	(sqrt (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))))
17.7b	(cbrt (fma (+ x y) z (* y x)))
17.7b	(cbrt (fma (+ x y) z (* y x)))
17.7b	(cbrt (fma (+ x y) z (* y x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
9×	`cbrt-prod` `sqrt-pow1` `pow1/3`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `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:

6.0ms	(sqrt (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))))
1.0ms	(cbrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))

series1.4s

Counts

4 → 12

Calls

4 calls:

342.0ms	(sqrt (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))))
323.0ms	(cbrt (fma (+ x y) z (* y x)))
367.0ms	(cbrt (fma (+ x y) z (* y x)))
347.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify2.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
5	2730
4	1096
3	528
2	244
1	121
0	65

prune570.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 18.1b

regimes344.0ms

Accuracy

0% (0.1b remaining)

Error of 20.3b against oracle of 20.2b and baseline of 20.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
597.0ms	8138×	body	80	nan