Details

sample54.0ms

Algorithm

intervals

Results

17.0ms	287×	body	80	nan
13.0ms	258×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms

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))

rewrite27.0ms

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:

25.0ms

(* x (log x))

series393.0ms

Counts

1 → 3

Calls

1 calls:

393.0ms

(* x (log x))

simplify2.4s

Counts

30 → 30

Iterations

Useful iterations: 3 (466.0ms)

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

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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))))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite92.0ms

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:

37.0ms	(* (* 2 (log (cbrt x))) x)
48.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.9s

Counts

4 → 12

Calls

4 calls:

618.0ms	(* (* 2 (log (cbrt x))) x)
615.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
325.0ms	(cbrt x)
328.0ms	(cbrt x)

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: done (2.2s)

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

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
0.2b	(* x (log (cbrt x)))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite37.0ms

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:

1.0ms	(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
29.0ms	(* x (log (cbrt x)))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series2.9s

Counts

4 → 12

Calls

4 calls:

1.4s	(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
679.0ms	(* x (log (cbrt x)))
403.0ms	(cbrt x)
402.0ms	(cbrt x)

simplify5.0s

Counts

82 → 82

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	99	667
1	199	642
2	636	555
3	3934	523
done	5001	509

prune551.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (pow (/ 1 x) -1/3))) x (* x (log (cbrt x))))
0.2b	(* x (log (cbrt x)))
0.5b	(cbrt x)
5.0b	(pow (/ 1 x) -1/3)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma (* 2 (log (pow (/ 1 x) -1/3))) x (* x (log (cbrt x))))
21.0ms	(* x (log (cbrt x)))
2.0ms	(cbrt x)
14.0ms	(pow (/ 1 x) -1/3)

series2.8s

Counts

4 → 12

Calls

4 calls:

1.4s	(fma (* 2 (log (pow (/ 1 x) -1/3))) x (* x (log (cbrt x))))
661.0ms	(* x (log (cbrt x)))
367.0ms	(cbrt x)
372.0ms	(pow (/ 1 x) -1/3)

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	179	988
1	447	886
2	1379	772
done	5000	698

prune626.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	9	12
done	9	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

424.0ms	8037×	body	80	valid
304.0ms	7949×	body	80	nan