Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	260×	body	80	valid
4.0ms	241×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

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))

series219.0ms

Counts

1 → 3

Calls

1 calls:

219.0ms

(* x (log x))

simplify1.7s

Counts

30 → 30

Iterations

Useful iterations: 3 (104.0ms)

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

prune49.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt x))) x)
0.3b	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite47.0ms

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:

22.0ms	(* (* 2 (log (cbrt x))) x)
22.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

491.0ms	(* (* 2 (log (cbrt x))) x)
443.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
208.0ms	(cbrt x)
207.0ms	(cbrt x)

simplify1.9s

Counts

73 → 73

Iterations

Useful iterations: done (1.9s)

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

prune230.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

12.0ms	(* (log (cbrt x)) x)
0.0ms	(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.9s

Counts

4 → 12

Calls

4 calls:

472.0ms	(* (log (cbrt x)) x)
920.0ms	(fma (* 2 (log (cbrt x))) x (* (log (cbrt x)) x))
287.0ms	(cbrt x)
242.0ms	(cbrt x)

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	76	522
1	142	503
2	421	390
3	1591	350
done	5000	346

prune263.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt x)) x)
0.2b	(fma (* 2 (log (pow (/ 1 x) -1/3))) x (* (log (cbrt x)) x))
0.5b	(cbrt x)
5.3b	(pow (/ 1 x) -1/3)

rewrite26.0ms

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×	`pow1` `times-frac`
6×	`add-cbrt-cube`
5×	`associate-l`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-r`
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 → 79

Calls

4 calls:

14.0ms	(* (log (cbrt x)) x)
0.0ms	(fma (* 2 (log (pow (/ 1 x) -1/3))) x (* (log (cbrt x)) x))
1.0ms	(cbrt x)
7.0ms	(pow (/ 1 x) -1/3)

series2.0s

Counts

4 → 12

Calls

4 calls:

498.0ms	(* (log (cbrt x)) x)
1.0s	(fma (* 2 (log (pow (/ 1 x) -1/3))) x (* (log (cbrt x)) x))
209.0ms	(cbrt x)
287.0ms	(pow (/ 1 x) -1/3)

simplify3.5s

Counts

91 → 91

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	157	843
1	313	747
2	743	633
3	3023	501
done	5000	494

prune254.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample919.0ms

Algorithm

intervals

Results

343.0ms	8047×	body	80	valid
214.0ms	8273×	body	80	nan