Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	257×	body	80	nan
10.0ms	258×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
1	4
0	3

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite20.0ms

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×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

19.0ms

(* x (log x))

series791.0ms

Counts

1 → 3

Calls

1 calls:

789.0ms

(* x (log x))

simplify10.9s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
4	1671
3	604
2	209
1	97
0	53

prune296.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (+ (log (cbrt x)) (log (cbrt x))) x) (* (log (cbrt x)) x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `sum-log` `flip-+`

Counts

4 → 45

Calls

4 calls:

55.0ms	(+ (* (+ (log (cbrt x)) (log (cbrt x))) x) (* (log (cbrt x)) x))
2.0ms	(cbrt x)
85.0ms	(cbrt x)
2.0ms	(cbrt x)

series3.5s

Counts

4 → 12

Calls

4 calls:

1.9s	(+ (* (+ (log (cbrt x)) (log (cbrt x))) x) (* (log (cbrt x)) x))
684.0ms	(cbrt x)
438.0ms	(cbrt x)
483.0ms	(cbrt x)

simplify7.7s

Counts

57 → 57

Iterations

Iter	Nodes
done	5019
3	2580
2	606
1	173
0	59

prune561.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (+ (log (cbrt x)) (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
0.5b	(cbrt x)
0.5b	(cbrt x)
5.0b	(pow (/ 1 x) -1/3)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
9×	`add-exp-log` `times-frac`
6×	`pow1` `cbrt-prod` `add-log-exp`
4×	`pow-exp` `add-cbrt-cube`
3×	`pow-unpow` `pow-pow`
2×	`pow1/3` `div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `distribute-rgt-out` `pow-flip` `flip3-+` `1-exp` `sum-log` `flip-+` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

39.0ms	(+ (* (+ (log (cbrt x)) (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
14.0ms	(pow (/ 1 x) -1/3)

series3.3s

Counts

4 → 12

Calls

4 calls:

1.8s	(+ (* (+ (log (cbrt x)) (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
461.0ms	(cbrt x)
419.0ms	(cbrt x)
663.0ms	(pow (/ 1 x) -1/3)

simplify10.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	4875
2	1313
1	408
0	138

prune1.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize160.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
1.0b	(* (cbrt -1/3) (cbrt -1/3))
3.9b	(pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3)))
5.2b	(pow (pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

43×	`unpow-prod-down`
38×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
22×	`cbrt-prod`
18×	`times-frac`
17×	`add-exp-log`
14×	`pow-exp`
13×	`pow1`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-pow` `div-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `sqr-pow`
2×	`rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-flip` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 120

Calls

4 calls:

2.0ms	(cbrt x)
24.0ms	(* (cbrt -1/3) (cbrt -1/3))
25.0ms	(pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3)))
171.0ms	(pow (pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

series3.1s

Counts

4 → 10

Calls

4 calls:

522.0ms	(cbrt x)
0.0ms	(* (cbrt -1/3) (cbrt -1/3))
532.0ms	(pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3)))
2.1s	(pow (pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

simplify16.9s

Counts

130 → 130

Iterations

Iter	Nodes
done	5004
3	4827
2	1721
1	592
0	186

prune2.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes787.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	4
1	4
0	3

end0.0ms

sample1.7s

Algorithm

intervals

Results

720.0ms	8027×	body	80	valid
546.0ms	7920×	body	80	nan