Details

sample43.0ms

Algorithm

intervals

Results

18.0ms	257×	body	80	valid
13.0ms	245×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
1	4
0	3

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `associate-r`
3×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-l` `add-exp-log`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

14.0ms

(* x (log x))

series260.0ms

Counts

1 → 3

Calls

1 calls:

260.0ms

(* x (log x))

simplify3.1s

Counts

29 → 29

Iterations

Iter	Nodes
done	5001
4	3844
3	877
2	248
1	99
0	54

prune97.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt x)))
0.3b	(* (log (cbrt x)) (+ x x))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
17×	`associate-r`
12×	`cbrt-prod` `log-prod`
10×	`pow1`
8×	`add-cbrt-cube` `associate-l` `add-exp-log`
7×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1/3` `log-pow` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-out` `distribute-lft-out`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft1-in` `flip3-+` `count-2` `distribute-rgt1-in` `flip-+`

Counts

4 → 91

Calls

4 calls:

14.0ms	(* x (log (cbrt x)))
34.0ms	(* (log (cbrt x)) (+ x x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.7s

Counts

4 → 12

Calls

4 calls:

454.0ms	(* x (log (cbrt x)))
804.0ms	(* (log (cbrt x)) (+ x x))
214.0ms	(cbrt x)
251.0ms	(cbrt x)

simplify3.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	4814
2	1217
1	305
0	121

prune473.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow (/ 1 x) -1/3)))
0.3b	(* (log (cbrt x)) (+ x x))
0.6b	(cbrt x)
5.1b	(pow (/ 1 x) -1/3)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`unpow-prod-down` `*-un-lft-identity`
37×	`add-cube-cbrt`
34×	`log-prod`
27×	`times-frac`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate-r`
13×	`add-exp-log`
11×	`pow1`
8×	`add-cbrt-cube` `associate-l`
4×	`pow-exp` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `distribute-rgt-out` `log-pow` `div-inv` `distribute-lft-out` `sqr-pow`
2×	`pow1/3` `div-exp` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `rec-exp` `distribute-lft1-in` `flip3-+` `count-2` `1-exp` `distribute-rgt1-in` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 133

Calls

4 calls:

18.0ms	(* x (log (pow (/ 1 x) -1/3)))
29.0ms	(* (log (cbrt x)) (+ x x))
1.0ms	(cbrt x)
8.0ms	(pow (/ 1 x) -1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

446.0ms	(* x (log (pow (/ 1 x) -1/3)))
543.0ms	(* (log (cbrt x)) (+ x x))
275.0ms	(cbrt x)
212.0ms	(pow (/ 1 x) -1/3)

simplify1.7s

Counts

145 → 145

Iterations

Iter	Nodes
done	5004
2	2390
1	650
0	253

prune621.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt x) (* 1/3 (log x)))
0.4b	(* (sqrt x) (* (sqrt x) (* 1/3 (log x))))
0.4b	(* 1/3 (log x))
0.6b	(cbrt x)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

51×	`distribute-rgt-in` `distribute-lft-in`
42×	`log-prod`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
21×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
15×	`associate-l`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r` `sqrt-prod`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `*-commutative`
1×	`pow1/3` `log-pow` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

20.0ms	(* (sqrt x) (* 1/3 (log x)))
82.0ms	(* (sqrt x) (* (sqrt x) (* 1/3 (log x))))
19.0ms	(* 1/3 (log x))
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (sqrt x) (* 1/3 (log x)))
296.0ms	(* (sqrt x) (* (sqrt x) (* 1/3 (log x))))
289.0ms	(* 1/3 (log x))
324.0ms	(cbrt x)

simplify1.6s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	1667
1	524
0	219

prune700.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	4
1	4
0	3

end0.0ms

sample1.1s

Algorithm

intervals

Results

459.0ms	8041×	body	80	valid
379.0ms	7918×	body	80	nan