Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	258×	body	80	valid
3.0ms	269×	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

prune2.0ms

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))

series186.0ms

Counts

1 → 3

Calls

1 calls:

185.0ms

(* x (log x))

simplify1.1s

Counts

30 → 30

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	55	213
1	95	204
2	181	180
3	269	173
4	1103	173
done	5000	173

prune54.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt x))) x)
0.3b	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite22.0ms

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:

7.0ms	(* (* 2 (log (cbrt x))) x)
12.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

346.0ms	(* (* 2 (log (cbrt x))) x)
365.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
183.0ms	(cbrt x)
181.0ms	(cbrt x)

simplify635.0ms

Counts

84 → 84

Iterations

Useful iterations: done (633.0ms)

Iter	Nodes	Cost
0	125	867
1	307	776
2	1087	586
done	5001	570

prune212.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt x)))
0.2b	(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

5.0ms	(* x (log (cbrt x)))
0.0ms	(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

348.0ms	(* x (log (cbrt x)))
712.0ms	(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
181.0ms	(cbrt x)
181.0ms	(cbrt x)

simplify4.3s

Counts

82 → 82

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	99	667
1	166	642
2	370	557
3	1099	527
4	4806	473
done	5000	473

prune204.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
177.0ms	(cbrt x)
450.0ms	(cbrt (cbrt x))
259.0ms	(cbrt (cbrt x))

simplify1.8s

Counts

70 → 70

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	46	374
1	79	356
2	151	328
3	303	316
4	853	316
5	3533	316
done	5000	316

prune256.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	17	22
done	17	22

end0.0ms

sample441.0ms

Algorithm

intervals

Results

160.0ms	8032×	body	80	valid
105.0ms	8146×	body	80	nan