Details

sample102.0ms

Algorithm

intervals

Results

40.0ms	252×	body	80	nan
20.0ms	256×	body	80	valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	70
5	70
4	69
3	64
2	44
1	22
0	11

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.8b	(fma (+ x y) z (* y x))
17.2b	(sqrt (fma (+ x y) z (* y x)))

rewrite3.0ms

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

series204.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(fma (+ x y) z (* y x))
159.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify1.1s

Counts

31 → 31

Iterations

Iter	Nodes
done	5002
3	1223
2	247
1	105
0	51

prune202.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma (+ x y) z (* y x))
0.8b	(fma (+ x y) z (* y x))
17.2b	(sqrt (fma (+ x y) z (* y x)))
17.2b	(sqrt (fma (+ x y) z (* y x)))

rewrite7.0ms

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))
1.0ms	(fma (+ x y) z (* y x))
2.0ms	(sqrt (fma (+ x y) z (* y x)))
3.0ms	(sqrt (fma (+ x y) z (* y x)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma (+ x y) z (* y x))
43.0ms	(fma (+ x y) z (* y x))
181.0ms	(sqrt (fma (+ x y) z (* y x)))
153.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify967.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5002
3	1223
2	247
1	105
0	51

prune985.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.1b

localize38.0ms

Local error

Found 4 expressions with local error:

4.4b	(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)))

series1.3s

Counts

4 → 12

Calls

4 calls:

351.0ms	(sqrt (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))))
293.0ms	(cbrt (fma (+ x y) z (* y x)))
295.0ms	(cbrt (fma (+ x y) z (* y x)))
312.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
4	1813
3	477
2	215
1	123
0	65

prune559.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 18.1b

localize71.0ms

Local error

Found 4 expressions with local error:

17.2b	(sqrt (fma (+ x y) z (* y x)))
17.2b	(sqrt (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

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `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` `pow1/3`

Counts

4 → 56

Calls

4 calls:

2.0ms	(sqrt (fma (+ x y) z (* y x)))
2.0ms	(sqrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

159.0ms	(sqrt (fma (+ x y) z (* y x)))
157.0ms	(sqrt (fma (+ x y) z (* y x)))
388.0ms	(cbrt (fma (+ x y) z (* y x)))
377.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify1.0s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1258
2	336
1	155
0	71

prune662.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 18.1b

regimes268.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

703.0ms	8000×	body	80	valid
607.0ms	7874×	body	80	nan