Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	259×	body	80	valid
6.0ms	257×	body	80	nan

simplify1.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 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))

series218.0ms

Counts

1 → 3

Calls

1 calls:

218.0ms

(* x (log x))

simplify1.4s

Counts

30 → 30

Iterations

Useful iterations: 3 (292.0ms)

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

prune54.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite77.0ms

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:

32.0ms	(* (* 2 (log (cbrt x))) x)
38.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.6s

Counts

4 → 12

Calls

4 calls:

531.0ms	(* (* 2 (log (cbrt x))) x)
553.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
300.0ms	(cbrt x)
239.0ms	(cbrt x)

simplify1.8s

Counts

84 → 84

Iterations

Useful iterations: done (1.7s)

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

prune406.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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))))
22.0ms	(* x (log (cbrt x)))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series2.2s

Counts

4 → 12

Calls

4 calls:

1.0s	(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
518.0ms	(* x (log (cbrt x)))
325.0ms	(cbrt x)
298.0ms	(cbrt x)

simplify3.6s

Counts

82 → 82

Iterations

Useful iterations: done (3.6s)

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

prune283.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
34×	`log-prod`
33×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
17×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-exp-log`
8×	`pow1`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-l` `div-inv` `sqr-pow`
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` `inv-pow` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

1.0ms	(fma (* 2 (log (cbrt x))) x (* x (log (pow (/ 1 x) -1/3))))
32.0ms	(* x (log (pow (/ 1 x) -1/3)))
2.0ms	(cbrt x)
13.0ms	(pow (/ 1 x) -1/3)

series2.0s

Counts

4 → 12

Calls

4 calls:

1.0s	(fma (* 2 (log (cbrt x))) x (* x (log (pow (/ 1 x) -1/3))))
475.0ms	(* x (log (pow (/ 1 x) -1/3)))
241.0ms	(cbrt x)
327.0ms	(pow (/ 1 x) -1/3)

simplify1.1s

Counts

124 → 124

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	230	1571
1	572	1345
2	1988	1081
done	5000	986

prune367.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	16	15
done	16	15

end0.0ms

sample837.0ms

Algorithm

intervals

Results

293.0ms	8044×	body	80	valid
165.0ms	8077×	body	80	nan