Details

sample80.0ms

Algorithm

intervals

Results

34.0ms	316×	body	80	nan
24.0ms	277×	body	80	valid

simplify956.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1334
6	407
5	134
4	62
3	40
2	23
1	13
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-r`
4×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

9.0ms

(* y (sqrt x))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(* y (sqrt x))

simplify2.2s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	3438
2	536
1	158
0	64

prune138.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 92

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
11.0ms	(* y (sqrt (sqrt x)))
39.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(sqrt (sqrt x))
157.0ms	(sqrt (sqrt x))
81.0ms	(* y (sqrt (sqrt x)))
43.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify940.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1700
1	357
0	135

prune357.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt x)))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
0.4b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

69×	`sqrt-prod`
33×	`associate-r`
28×	`add-sqr-sqrt`
23×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
19×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`sqrt-pow1`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

2.0ms	(sqrt (sqrt (sqrt x)))
9.0ms	(* y (sqrt (sqrt x)))
85.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
26.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series522.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(sqrt (sqrt (sqrt x)))
116.0ms	(* y (sqrt (sqrt x)))
58.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
142.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify1.9s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2777
1	509
0	187

prune513.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
0.3b	(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
28×	`add-sqr-sqrt`
20×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`cbrt-prod` `pow-prod-down`
9×	`prod-exp` `cbrt-unprod`
8×	`unswap-sqr`
7×	`associate-l`
4×	`insert-posit16` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3` `*-commutative`
1×	`sqrt-unprod`

Counts

4 → 88

Calls

4 calls:

41.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
11.0ms	(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
405.0ms	(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
308.0ms	(cbrt x)
294.0ms	(cbrt x)

simplify1.8s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1711
1	378
0	160

prune565.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

509.0ms	8487×	body	80	nan
502.0ms	8565×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid