Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
6.0ms	288×	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: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite8.0ms

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:

7.0ms

(* x (log x))

series227.0ms

Counts

1 → 3

Calls

1 calls:

227.0ms

(* x (log x))

simplify1.1s

Counts

28 → 28

Iterations

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

prune90.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
27×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
24×	`associate-+l+`
12×	`associate-+r+`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

26.0ms	(* x (* 2 (log (cbrt x))))
23.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.9s

Counts

4 → 12

Calls

4 calls:

844.0ms	(* x (* 2 (log (cbrt x))))
469.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
283.0ms	(cbrt x)
267.0ms	(cbrt x)

simplify889.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1766
1	439
0	181

prune532.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

20.0ms	(* x (* 2 (log (cbrt x))))
34.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow (/ 1 x) -1/3))))
1.0ms	(cbrt x)
6.0ms	(pow (/ 1 x) -1/3)

series2.0s

Counts

4 → 12

Calls

4 calls:

506.0ms	(* x (* 2 (log (cbrt x))))
991.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (pow (/ 1 x) -1/3))))
244.0ms	(cbrt x)
251.0ms	(pow (/ 1 x) -1/3)

simplify1.5s

Counts

167 → 167

Iterations

Iter	Nodes
done	5001
2	2695
1	812
0	313

prune759.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (- (* (* (* x 2) -1/3) (log x))) (* x (log (cbrt x))))
0.3b	(* (* x 2) -1/3)
0.4b	(* (* (* x 2) -1/3) (log x))
0.6b	(cbrt x)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
19×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
7×	`associate-r`
6×	`associate-+l+` `distribute-neg-in`
2×	`sum-log` `associate-l` `*-commutative`
1×	`neg-sub0` `+-commutative` `flip3-+` `pow1/3` `neg-log` `log-pow` `associate-+l-` `flip-+`

Counts

4 → 88

Calls

4 calls:

29.0ms	(+ (- (* (* (* x 2) -1/3) (log x))) (* x (log (cbrt x))))
26.0ms	(* (* x 2) -1/3)
77.0ms	(* (* (* x 2) -1/3) (log x))
1.0ms	(cbrt x)

series1.5s

Counts

4 → 12

Calls

4 calls:

770.0ms	(+ (- (* (* (* x 2) -1/3) (log x))) (* x (log (cbrt x))))
28.0ms	(* (* x 2) -1/3)
320.0ms	(* (* (* x 2) -1/3) (log x))
342.0ms	(cbrt x)

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	2524
1	498
0	190

prune372.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample932.0ms

Algorithm

intervals

Results

316.0ms	8027×	body	80	valid
217.0ms	7920×	body	80	nan