Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
5.0ms	245×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite21.0ms

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:

10.0ms

(* x (log x))

series214.0ms

Counts

1 → 3

Calls

1 calls:

214.0ms

(* x (log x))

simplify1.6s

Counts

30 → 30

Iterations

Useful iterations: 3 (351.0ms)

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

prune147.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)

rewrite73.0ms

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:

30.0ms	(* (* 2 (log (cbrt x))) x)
35.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.5s

Counts

4 → 12

Calls

4 calls:

462.0ms	(* (* 2 (log (cbrt x))) x)
480.0ms	(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
281.0ms	(cbrt x)
303.0ms	(cbrt x)

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: done (1.7s)

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

prune464.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite15.0ms

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:

0.0ms	(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
11.0ms	(* x (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series2.2s

Counts

4 → 12

Calls

4 calls:

1.1s	(fma (* 2 (log (cbrt x))) x (* x (log (cbrt x))))
517.0ms	(* x (log (cbrt x)))
262.0ms	(cbrt x)
291.0ms	(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

prune389.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize39.0ms

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)
5.1b	(pow (/ 1 x) -1/3)

rewrite59.0ms

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))))
38.0ms	(* x (log (pow (/ 1 x) -1/3)))
2.0ms	(cbrt x)
9.0ms	(pow (/ 1 x) -1/3)

series2.1s

Counts

4 → 12

Calls

4 calls:

989.0ms	(fma (* 2 (log (cbrt x))) x (* x (log (pow (/ 1 x) -1/3))))
526.0ms	(* x (log (pow (/ 1 x) -1/3)))
276.0ms	(cbrt x)
307.0ms	(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

prune478.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes81.0ms

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

sample899.0ms

Algorithm

intervals

Results

280.0ms	8044×	body	80	valid
193.0ms	7955×	body	80	nan