Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	258×	body	80	valid
5.0ms	283×	body	80	nan

simplify1.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
1	4
0	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `associate-r`
3×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-l` `add-exp-log`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

11.0ms

(* x (log x))

series233.0ms

Counts

1 → 3

Calls

1 calls:

233.0ms

(* x (log x))

simplify1.1s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
3	1585
2	290
1	107
0	53

prune187.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt x))
0.0b	(log (sqrt x))
0.3b	(* (log (sqrt x)) x)
0.3b	(* (log (sqrt x)) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `pow1`
12×	`log-prod` `-un-lft-identity` `associate-l*` `log-pow` `add-cube-cbrt`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-r` `sqrt-prod`
4×	`sqrt-pow1` `pow1/2` `add-log-exp`
2×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

3.0ms	(log (sqrt x))
3.0ms	(log (sqrt x))
18.0ms	(* (log (sqrt x)) x)
15.0ms	(* (log (sqrt x)) x)

series421.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(log (sqrt x))
66.0ms	(log (sqrt x))
122.0ms	(* (log (sqrt x)) x)
159.0ms	(* (log (sqrt x)) x)

simplify3.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	4418
2	661
1	163
0	74

prune378.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (log (fabs (cbrt x))) (log (sqrt (cbrt x)))) x)
0.3b	(+ (log (fabs (cbrt x))) (log (sqrt (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `pow1`
12×	`log-prod` `add-cube-cbrt`
9×	`cbrt-prod` `associate-+r+`
8×	`log-pow` `distribute-lft-out`
7×	`associate-l`
6×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
4×	`add-log-exp`
3×	`associate-+l+` `associate-r`
2×	`flip3-+` `pow1/3` `associate-*l/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

45.0ms	(* (+ (log (fabs (cbrt x))) (log (sqrt (cbrt x)))) x)
9.0ms	(+ (log (fabs (cbrt x))) (log (sqrt (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.7s

Counts

4 → 12

Calls

4 calls:

659.0ms	(* (+ (log (fabs (cbrt x))) (log (sqrt (cbrt x)))) x)
506.0ms	(+ (log (fabs (cbrt x))) (log (sqrt (cbrt x))))
272.0ms	(cbrt x)
215.0ms	(cbrt x)

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1018
1	266
0	118

prune590.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (log (fabs (pow (/ 1 x) -1/3))) (log (sqrt (cbrt x)))) x)
0.3b	(+ (log (fabs (pow (/ 1 x) -1/3))) (log (sqrt (cbrt x))))
0.6b	(cbrt x)
5.2b	(pow (/ 1 x) -1/3)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
16×	`pow1`
13×	`unpow-prod-down`
12×	`log-prod`
11×	`add-exp-log`
9×	`associate-+r+` `times-frac`
8×	`log-pow` `distribute-lft-out`
7×	`associate-l`
6×	`cbrt-prod` `add-cbrt-cube` `sqrt-prod`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `associate-+l+` `pow-pow` `associate-r`
2×	`flip3-+` `div-exp` `associate-*l/` `flip-+`
1×	`pow-to-exp` `+-commutative` `rec-exp` `sum-log` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `pow-flip` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

30.0ms	(* (+ (log (fabs (pow (/ 1 x) -1/3))) (log (sqrt (cbrt x)))) x)
15.0ms	(+ (log (fabs (pow (/ 1 x) -1/3))) (log (sqrt (cbrt x))))
1.0ms	(cbrt x)
6.0ms	(pow (/ 1 x) -1/3)

series1.9s

Counts

4 → 12

Calls

4 calls:

674.0ms	(* (+ (log (fabs (pow (/ 1 x) -1/3))) (log (sqrt (cbrt x)))) x)
590.0ms	(+ (log (fabs (pow (/ 1 x) -1/3))) (log (sqrt (cbrt x))))
330.0ms	(cbrt x)
275.0ms	(pow (/ 1 x) -1/3)

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	5002
2	1737
1	486
0	187

prune716.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes201.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample788.0ms

Algorithm

intervals

Results

282.0ms	8043×	body	80	valid
179.0ms	8027×	body	80	nan