Details

sample73.0ms

Algorithm

intervals

Results

12.0ms	271×	body	80	valid
11.0ms	249×	body	80	nan

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.3b	(* y (sqrt x))

rewrite148.0ms

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:

122.0ms	(+ (- 1.0 x) (* y (sqrt x)))
20.0ms	(* y (sqrt x))

series226.0ms

Counts

2 → 6

Calls

2 calls:

129.0ms	(+ (- 1.0 x) (* y (sqrt x)))
96.0ms	(* y (sqrt x))

simplify1.8s

Counts

43 → 43

Iterations

Useful iterations: done (1.8s)

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

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite202.0ms

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:

4.0ms	(sqrt (sqrt x))
71.0ms	(sqrt (sqrt x))
27.0ms	(* y (sqrt (sqrt x)))
87.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

355.0ms	(sqrt (sqrt x))
444.0ms	(sqrt (sqrt x))
219.0ms	(* y (sqrt (sqrt x)))
111.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify3.4s

Counts

100 → 100

Iterations

Useful iterations: done (3.4s)

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

prune996.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt (sqrt x)))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
0.5b	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite615.0ms

Algorithm

rewrite-expression-head

Rules

189×	`sqrt-prod`
92×	`add-sqr-sqrt`
81×	`sqrt-pow1`
52×	`pow1`
27×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
24×	`swap-sqr`
22×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
19×	`unswap-sqr`
16×	`associate-l` `pow-prod-down`
13×	`pow-prod-up`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-sqr`
4×	`add-log-exp`
3×	`rem-sqrt-square` `*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 178

Calls

4 calls:

7.0ms	(sqrt (sqrt (sqrt x)))
28.0ms	(* y (sqrt (sqrt x)))
240.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
223.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series1.6s

Counts

4 → 12

Calls

4 calls:

513.0ms	(sqrt (sqrt (sqrt x)))
269.0ms	(* y (sqrt (sqrt x)))
399.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))
367.0ms	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify9.8s

Counts

190 → 190

Iterations

Useful iterations: done (9.6s)

Iter	Nodes	Cost
0	216	2540
1	548	1390
2	2716	1142
done	5001	1134

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize197.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt (sqrt x)))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (pow x 1/8)))
0.5b	(* (sqrt (sqrt (sqrt x))) (pow x 1/8))

rewrite399.0ms

Algorithm

rewrite-expression-head

Rules

69×	`sqrt-prod`
46×	`add-sqr-sqrt`
35×	`add-exp-log`
22×	`prod-exp`
20×	`add-cbrt-cube`
17×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
16×	`associate-l`
15×	`pow1` `unswap-sqr`
14×	`sqrt-pow1`
10×	`cbrt-unprod`
7×	`unpow-prod-down`
5×	`sqr-pow`
4×	`pow1/2` `pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `rem-sqrt-square` `pow-exp` `*-commutative`
2×	`pow-prod-up`

Counts

4 → 120

Calls

4 calls:

12.0ms	(sqrt (sqrt (sqrt x)))
44.0ms	(* y (sqrt (sqrt x)))
248.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (pow x 1/8)))
70.0ms	(* (sqrt (sqrt (sqrt x))) (pow x 1/8))

series1.6s

Counts

4 → 12

Calls

4 calls:

447.0ms	(sqrt (sqrt (sqrt x)))
216.0ms	(* y (sqrt (sqrt x)))
440.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (pow x 1/8)))
483.0ms	(* (sqrt (sqrt (sqrt x))) (pow x 1/8))

simplify6.2s

Counts

132 → 132

Iterations

Useful iterations: done (6.1s)

Iter	Nodes	Cost
0	219	1721
1	560	1533
2	2753	1346
done	5000	1312

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes357.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end7.0ms

sample7.0s

Algorithm

intervals

Results

4.1s	8538×	body	80	valid
1.9s	8569×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid