Details

sample73.0ms

Algorithm

intervals

Results

36.0ms	271×	body	80	nan
21.0ms	256×	body	80	valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	42
4	42
3	41
2	32
1	21
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize29.0ms

Local error

Found 2 expressions with local error:

1.0b	(+ (* z y) (* (+ y z) x))
19.4b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 28

Calls

2 calls:

13.0ms	(+ (* z y) (* (+ y z) x))
10.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* z y) (* (+ y z) x))
159.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify781.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	2004
2	657
1	182
0	66

prune200.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.4b

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* z y) (* (+ y z) x))
1.0b	(+ (* z y) (* (+ y z) x))
19.4b	(sqrt (+ (* z y) (* (+ y z) x)))
19.4b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
2×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

19.0ms	(+ (* z y) (* (+ y z) x))
13.0ms	(+ (* z y) (* (+ y z) x))
9.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
10.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* z y) (* (+ y z) x))
31.0ms	(+ (* z y) (* (+ y z) x))
136.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
130.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify486.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	2004
2	657
1	182
0	66

prune373.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 19.4b

localize37.0ms

Local error

Found 4 expressions with local error:

19.4b	(sqrt (* (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))) (cbrt (+ (* z y) (* (+ y z) x)))))
20.1b	(cbrt (+ (* z y) (* (+ y z) x)))
20.1b	(cbrt (+ (* z y) (* (+ y z) x)))
20.1b	(cbrt (+ (* z y) (* (+ y z) x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 93

Calls

4 calls:

52.0ms	(sqrt (* (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))) (cbrt (+ (* z y) (* (+ y z) x)))))
10.0ms	(cbrt (+ (* z y) (* (+ y z) x)))
4.0ms	(cbrt (+ (* z y) (* (+ y z) x)))
4.0ms	(cbrt (+ (* z y) (* (+ y z) x)))

series929.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(sqrt (* (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))) (cbrt (+ (* z y) (* (+ y z) x)))))
263.0ms	(cbrt (+ (* z y) (* (+ y z) x)))
232.0ms	(cbrt (+ (* z y) (* (+ y z) x)))
288.0ms	(cbrt (+ (* z y) (* (+ y z) x)))

simplify513.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	2000
2	710
1	364
0	188

prune598.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.4b

localize72.0ms

Local error

Found 4 expressions with local error:

19.4b	(sqrt (+ (* z y) (* (+ y z) x)))
19.4b	(sqrt (* (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))) (* (cbrt (sqrt (+ (* z y) (* (+ y z) x)))) (cbrt (sqrt (+ (* z y) (* (+ y z) x)))))))
20.1b	(cbrt (+ (* z y) (* (+ y z) x)))
20.1b	(cbrt (+ (* z y) (* (+ y z) x)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

220×	`cbrt-div`
190×	`sqrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
44×	`associate-l/` `associate-r/`
34×	`pow1`
19×	`pow-prod-down`
15×	`sqrt-pow1`
14×	`pow1/3`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow-prod-up`
4×	`pow-plus` `add-cbrt-cube` `add-exp-log` `pow-sqr` `sqrt-prod` `insert-posit16` `add-log-exp`
2×	`pow2` `pow1/2`
1×	`rem-sqrt-square`

Counts

4 → 148

Calls

4 calls:

10.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
133.0ms	(sqrt (* (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))) (* (cbrt (sqrt (+ (* z y) (* (+ y z) x)))) (cbrt (sqrt (+ (* z y) (* (+ y z) x)))))))
4.0ms	(cbrt (+ (* z y) (* (+ y z) x)))
7.0ms	(cbrt (+ (* z y) (* (+ y z) x)))

series748.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
139.0ms	(sqrt (* (* (cbrt (+ (* z y) (* (+ y z) x))) (cbrt (+ (* z y) (* (+ y z) x)))) (* (cbrt (sqrt (+ (* z y) (* (+ y z) x)))) (cbrt (sqrt (+ (* z y) (* (+ y z) x)))))))
235.0ms	(cbrt (+ (* z y) (* (+ y z) x)))
224.0ms	(cbrt (+ (* z y) (* (+ y z) x)))

simplify965.0ms

Counts

160 → 160

Iterations

Iter	Nodes
done	2007
2	1605
1	877
0	382

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 19.4b

regimes157.0ms

Accuracy

0% (0.1b remaining)

Error of 18.6b against oracle of 18.5b and baseline of 18.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	8001×	body	80	valid
741.0ms	7788×	body	80	nan