Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	259×	body	80	valid
7.0ms	251×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 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×	`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:

18.0ms

(* x (log x))

series330.0ms

Counts

1 → 3

Calls

1 calls:

330.0ms

(* x (log x))

simplify2.3s

Counts

30 → 30

Iterations

Useful iterations: 3 (171.0ms)

Iter	Nodes	Cost
0	55	213
1	95	204
2	183	180
3	283	173
4	1038	173
done	5001	173

prune64.0ms

Pruning

8 alts after pruning (7 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) (* (log (cbrt x)) x))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `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` `distribute-rgt-out` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 61

Calls

4 calls:

41.0ms	(* (* 2 (log (cbrt x))) x)
33.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.8s

Counts

4 → 12

Calls

4 calls:

513.0ms	(* (* 2 (log (cbrt x))) x)
645.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
343.0ms	(cbrt x)
338.0ms	(cbrt x)

simplify1.8s

Counts

73 → 73

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	95	700
1	256	562
2	1023	458
done	5000	406

prune316.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt x))) x)
0.3b	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
0.6b	(cbrt x)
5.0b	(pow (/ 1 x) -1/3)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

31.0ms	(* (* 2 (log (cbrt x))) x)
48.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
2.0ms	(cbrt x)
15.0ms	(pow (/ 1 x) -1/3)

series2.3s

Counts

4 → 12

Calls

4 calls:

496.0ms	(* (* 2 (log (cbrt x))) x)
1.1s	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
307.0ms	(cbrt x)
334.0ms	(pow (/ 1 x) -1/3)

simplify1.3s

Counts

94 → 94

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	176	1047
1	429	865
2	1410	703
done	5000	608

prune314.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt x))) x (* (log (pow (/ 1 x) -1/3)) x))
0.3b	(* (log (pow (/ 1 x) -1/3)) x)
0.6b	(cbrt x)
5.0b	(pow (/ 1 x) -1/3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-r`
2×	`div-exp`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt x))) x (* (log (pow (/ 1 x) -1/3)) x))
14.0ms	(* (log (pow (/ 1 x) -1/3)) x)
1.0ms	(cbrt x)
13.0ms	(pow (/ 1 x) -1/3)

series1.8s

Counts

4 → 12

Calls

4 calls:

884.0ms	(fma (* 2 (log (cbrt x))) x (* (log (pow (/ 1 x) -1/3)) x))
364.0ms	(* (log (pow (/ 1 x) -1/3)) x)
237.0ms	(cbrt x)
303.0ms	(pow (/ 1 x) -1/3)

simplify3.5s

Counts

90 → 90

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	157	914
1	325	796
2	837	607
3	3756	500
done	5000	499

prune279.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes57.0ms

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	15
1	16	15
done	16	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

277.0ms	8044×	body	80	valid
207.0ms	7896×	body	80	nan