Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	257×	body	80	valid
7.0ms	262×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

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))

rewrite10.0ms

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:

9.0ms

(* x (log x))

series283.0ms

Counts

1 → 3

Calls

1 calls:

283.0ms

(* x (log x))

simplify2.1s

Counts

30 → 30

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	55	213
1	109	204
2	294	180
3	1720	173
done	5001	173

prune78.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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 (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite53.0ms

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:

26.0ms	(* (* 2 (log (cbrt x))) x)
24.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.6s

Counts

4 → 12

Calls

4 calls:

502.0ms	(* (* 2 (log (cbrt x))) x)
541.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
290.0ms	(cbrt x)
240.0ms	(cbrt x)

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	125	867
1	342	780
2	1753	625
done	5001	597

prune378.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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 x 1/3))))
0.6b	(cbrt x)
4.9b	(pow x 1/3)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-+r+` `log-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`unpow-prod-down` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `fma-def` `flip3-+` `unpow1/3` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `flip-+`

Counts

4 → 81

Calls

4 calls:

41.0ms	(* (* 2 (log (cbrt x))) x)
50.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow x 1/3))))
2.0ms	(cbrt x)
6.0ms	(pow x 1/3)

series1.8s

Counts

4 → 12

Calls

4 calls:

508.0ms	(* (* 2 (log (cbrt x))) x)
726.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow x 1/3))))
242.0ms	(cbrt x)
303.0ms	(pow x 1/3)

simplify2.4s

Counts

93 → 93

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	163	1000
1	473	838
2	2291	703
done	5001	679

prune448.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt x))) x (* x (log (pow x 1/3))))
0.3b	(* x (log (pow x 1/3)))
0.6b	(cbrt x)
4.9b	(pow x 1/3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`log-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
7×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `associate-l` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

1.0ms	(fma (* 2 (log (cbrt x))) x (* x (log (pow x 1/3))))
22.0ms	(* x (log (pow x 1/3)))
2.0ms	(cbrt x)
5.0ms	(pow x 1/3)

series2.2s

Counts

4 → 12

Calls

4 calls:

1.1s	(fma (* 2 (log (cbrt x))) x (* x (log (pow x 1/3))))
558.0ms	(* x (log (pow x 1/3)))
263.0ms	(cbrt x)
285.0ms	(pow x 1/3)

simplify646.0ms

Counts

90 → 90

Iterations

Useful iterations: done (643.0ms)

Iter	Nodes	Cost
0	139	826
1	314	698
2	939	620
done	5000	583

prune426.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	12	15
1	17	13
2	18	13
done	18	13

end0.0ms

sample1.0s

Algorithm

intervals

Results

356.0ms	8045×	body	80	valid
210.0ms	8125×	body	80	nan