Details

sample110.0ms

Algorithm

intervals

Results

27.0ms	255×	body	80	nan
24.0ms	256×	body	80	valid

simplify103.0ms

Counts

1 → 1

Iterations

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

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.6b

localize24.0ms

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)))

rewrite3.0ms

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:

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

series357.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma y (+ z x) (* z x))
288.0ms	(sqrt (fma y (+ z x) (* z x)))

simplify2.1s

Counts

31 → 31

Iterations

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

prune289.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 22.6b

localize52.0ms

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)))

rewrite10.0ms

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

series645.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma y (+ z x) (* z x))
55.0ms	(fma y (+ z x) (* z x))
259.0ms	(sqrt (fma y (+ z x) (* z x)))
277.0ms	(sqrt (fma y (+ z x) (* z x)))

simplify2.1s

Counts

62 → 62

Iterations

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

prune680.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 22.6b

localize151.0ms

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)))

rewrite12.0ms

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:

4.0ms	(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)))
2.0ms	(cbrt (fma y (+ z x) (* z x)))

series1.8s

Counts

4 → 12

Calls

4 calls:

271.0ms	(sqrt (fma y (+ z x) (* z x)))
516.0ms	(cbrt (fma y (+ z x) (* z x)))
517.0ms	(cbrt (fma y (+ z x) (* z x)))
504.0ms	(cbrt (fma y (+ z x) (* z x)))

simplify4.3s

Counts

66 → 66

Iterations

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

prune899.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.6b

localize87.0ms

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)))

rewrite20.0ms

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:

12.0ms	(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)))
2.0ms	(cbrt (fma y (+ z x) (* z x)))

series2.0s

Counts

4 → 12

Calls

4 calls:

510.0ms	(sqrt (* (cbrt (fma y (+ z x) (* z x))) (cbrt (fma y (+ z x) (* z x)))))
497.0ms	(cbrt (fma y (+ z x) (* z x)))
502.0ms	(cbrt (fma y (+ z x) (* z x)))
493.0ms	(cbrt (fma y (+ z x) (* z x)))

simplify3.6s

Counts

72 → 72

Iterations

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

prune786.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 22.5b

regimes436.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	7850×	body	80	nan
863.0ms	8000×	body	80	valid