Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	257×	body	80	valid
4.0ms	278×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	4
1	4	4
done	4	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

4.0ms

(* x (log x))

series174.0ms

Counts

1 → 3

Calls

1 calls:

174.0ms

(* x (log x))

simplify14.5s

Counts

30 → 30

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	55	213
1	97	204
2	330	180
3	864	173
4	3008	173
done	5000	173

prune43.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt x))) x)
0.3b	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (* 2 (log (cbrt x))) x)
10.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

352.0ms	(* (* 2 (log (cbrt x))) x)
352.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
181.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify611.0ms

Counts

84 → 84

Iterations

Useful iterations: done (608.0ms)

Iter	Nodes	Cost
0	125	867
1	309	778
2	1235	586
done	5000	585

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt x))) x)
0.3b	(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow (/ 1 x) -1/3))))
0.6b	(cbrt x)
5.1b	(pow (/ 1 x) -1/3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
34×	`associate-+r+` `log-prod`
30×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-exp-log`
11×	`pow1`
9×	`add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `sqr-pow`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `fma-def` `flip3-+` `pow1/3` `1-exp` `associate-l` `sum-log` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 115

Calls

4 calls:

7.0ms	(* (* 2 (log (cbrt x))) x)
16.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow (/ 1 x) -1/3))))
0.0ms	(cbrt x)
4.0ms	(pow (/ 1 x) -1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

353.0ms	(* (* 2 (log (cbrt x))) x)
674.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow (/ 1 x) -1/3))))
181.0ms	(cbrt x)
182.0ms	(pow (/ 1 x) -1/3)

simplify1.5s

Counts

127 → 127

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	255	1659
1	610	1396
2	2240	1095
done	5001	1093

prune323.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (log (cbrt x)) 2 (log (sqrt (pow (/ 1 x) -1/3))))
0.6b	(cbrt x)
5.1b	(pow (/ 1 x) -1/3)
5.1b	(pow (/ 1 x) -1/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
14×	`add-exp-log`
8×	`pow1` `pow-exp`
6×	`pow-unpow` `pow-pow`
4×	`expm1-log1p-u` `div-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `div-inv` `inv-pow` `sqr-pow`
1×	`pow1/3` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (log (cbrt x)) 2 (log (sqrt (pow (/ 1 x) -1/3))))
0.0ms	(cbrt x)
4.0ms	(pow (/ 1 x) -1/3)
4.0ms	(pow (/ 1 x) -1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

552.0ms	(fma (log (cbrt x)) 2 (log (sqrt (pow (/ 1 x) -1/3))))
188.0ms	(cbrt x)
187.0ms	(pow (/ 1 x) -1/3)
179.0ms	(pow (/ 1 x) -1/3)

simplify2.4s

Counts

103 → 103

Iterations

Useful iterations: 3 (764.0ms)

Iter	Nodes	Cost
0	133	963
1	270	846
2	766	744
3	2590	719
done	5000	719

prune281.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4
1	4	4
done	4	4

end0.0ms

sample456.0ms

Algorithm

intervals

Results

162.0ms	8041×	body	80	valid
107.0ms	8016×	body	80	nan