Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	281×	body	80	valid
9.0ms	263×	body	80	nan

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	40	8
4	62	8
5	134	8
6	407	8
7	1347	8
done	5000	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

46.0ms	(+ (- 1.0 x) (* y (sqrt x)))
15.0ms	(* y (sqrt x))

series123.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (- 1.0 x) (* y (sqrt x)))
57.0ms	(* y (sqrt x))

simplify698.0ms

Counts

43 → 43

Iterations

Useful iterations: done (696.0ms)

Iter	Nodes	Cost
0	96	442
1	253	398
2	905	366
done	5001	355

prune143.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

5.0ms	(sqrt (sqrt x))
5.0ms	(sqrt (sqrt x))
29.0ms	(* y (sqrt (sqrt x)))
55.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(sqrt (sqrt x))
226.0ms	(sqrt (sqrt x))
104.0ms	(* y (sqrt (sqrt x)))
64.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.3s

Counts

100 → 100

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	132	915
1	355	716
2	1762	661
done	5000	640

prune295.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
13×	`associate-r`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
4×	`add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 73

Calls

4 calls:

41.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
141.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x))))
373.0ms	(* (* (sqrt (fabs (cbrt x))) (* y (sqrt (sqrt x)))) (sqrt (sqrt (cbrt x))))
275.0ms	(cbrt x)
239.0ms	(cbrt x)

simplify1.7s

Counts

85 → 85

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	174	1279
1	451	1134
2	2229	995
done	5000	959

prune411.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt x)))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
0.4b	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

4.0ms	(sqrt (sqrt (sqrt x)))
14.0ms	(* y (sqrt (sqrt x)))
73.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
197.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series579.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(sqrt (sqrt (sqrt x)))
127.0ms	(* y (sqrt (sqrt x)))
148.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
46.0ms	(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify2.1s

Counts

120 → 120

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	183	1539
1	505	1238
2	2730	1117
done	5002	940

prune395.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

446.0ms	8370×	body	80	nan
432.0ms	8577×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid