Details

sample56.0ms

Algorithm

intervals

Results

13.0ms	308×	body	80	nan
12.0ms	273×	body	80	valid

simplify1.6s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

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:

50.0ms	(+ (- 1.0 x) (* y (sqrt x)))
33.0ms	(* y (sqrt x))

series138.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (- 1.0 x) (* y (sqrt x)))
78.0ms	(* y (sqrt x))

simplify760.0ms

Counts

43 → 43

Iterations

Useful iterations: done (758.0ms)

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

prune231.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite105.0ms

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:

9.0ms	(sqrt (sqrt x))
4.0ms	(sqrt (sqrt x))
23.0ms	(* y (sqrt (sqrt x)))
63.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series744.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(sqrt (sqrt x))
256.0ms	(sqrt (sqrt x))
162.0ms	(* y (sqrt (sqrt x)))
73.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: done (1.5s)

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

prune545.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

187.0ms	(* (* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
63.0ms	(* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x))))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

408.0ms	(* (* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
308.0ms	(* (* (sqrt (fabs (cbrt x))) y) (sqrt (sqrt (cbrt x))))
340.0ms	(cbrt x)
347.0ms	(cbrt x)

simplify1.9s

Counts

88 → 88

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	165	1275
1	425	1131
2	2215	990
done	5001	977

prune697.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

51×	`sqrt-prod`
37×	`add-sqr-sqrt`
23×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
15×	`sqrt-pow1`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down`
12×	`cbrt-prod` `unswap-sqr`
10×	`associate-r`
9×	`prod-exp` `cbrt-unprod`
5×	`pow1/2`
4×	`pow1/3` `add-log-exp`
2×	`*-commutative` `pow-prod-up`
1×	`sqrt-unprod`

Counts

4 → 95

Calls

4 calls:

121.0ms	(* (* (sqrt (fabs (cbrt x))) y) (* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x))))
51.0ms	(* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x)))
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

412.0ms	(* (* (sqrt (fabs (cbrt x))) y) (* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x))))
290.0ms	(* (sqrt (sqrt (cbrt x))) (sqrt (sqrt x)))
343.0ms	(cbrt x)
339.0ms	(cbrt x)

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	178	1472
1	440	1337
2	1915	1186
done	5000	1153

prune675.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes207.0ms

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 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

472.0ms	8584×	body	80	nan
461.0ms	8551×	body	80	valid