Details

sample51.0ms

Algorithm

intervals

Results

17.0ms	274×	body	80	valid
10.0ms	295×	body	80	nan

simplify1.2s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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:

59.0ms	(+ (- 1.0 x) (* y (sqrt x)))
20.0ms	(* y (sqrt x))

series139.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (- 1.0 x) (* y (sqrt x)))
73.0ms	(* y (sqrt x))

simplify563.0ms

Counts

43 → 43

Iterations

Useful iterations: done (562.0ms)

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

prune156.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

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:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
25.0ms	(* y (sqrt (sqrt x)))
77.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(sqrt (sqrt x))
202.0ms	(sqrt (sqrt x))
121.0ms	(* y (sqrt (sqrt x)))
57.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: done (1.2s)

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

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 x) -1/4)
0.2b	(sqrt (sqrt x))
0.3b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 117

Calls

4 calls:

7.0ms	(pow (/ 1 x) -1/4)
2.0ms	(sqrt (sqrt x))
25.0ms	(* y (sqrt (sqrt x)))
66.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series760.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(pow (/ 1 x) -1/4)
229.0ms	(sqrt (sqrt x))
109.0ms	(* y (sqrt (sqrt x)))
146.0ms	(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify1.9s

Counts

129 → 129

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	242	1447
1	711	1234
2	3113	1154
done	5001	1141

prune389.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

22.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

344.0ms	(* (cbrt x) (cbrt x))
272.0ms	(cbrt x)
292.0ms	(cbrt x)
269.0ms	(cbrt x)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune399.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes148.0ms

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

sample1.5s

Algorithm

intervals

Results

508.0ms	8541×	body	80	valid
396.0ms	8512×	body	80	nan
0.0ms	1×	body	640	valid