Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

257×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
2	16	9
3	18	9
4	20	9
5	21	9
done	21	9

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b	(* (/ 841.0 108.0) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
7.0ms	(* (/ 841.0 108.0) x)

series6.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms	(* (/ 841.0 108.0) x)

simplify762.0ms

Counts

50 → 50

Iterations

Useful iterations: 3 (296.0ms)

Iter	Nodes	Cost
0	97	463
1	244	445
2	765	407
3	2679	401
done	5001	401

prune83.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
0.3b	(/ (* 841.0 x) 108.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `frac-add` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 34

Calls

2 calls:

10.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
5.0ms	(/ (* 841.0 x) 108.0)

series6.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
2.0ms	(/ (* 841.0 x) 108.0)

simplify714.0ms

Counts

40 → 40

Iterations

Useful iterations: 3 (227.0ms)

Iter	Nodes	Cost
0	79	397
1	208	378
2	676	339
3	2853	335
done	5000	335

prune53.0ms

Filtered

29 candidates to 40 candidates (-37.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (cbrt (/ 841.0 108.0)) x)
0.5b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`add-exp-log` `associate-r` `associate-*l/`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-*r/` `frac-add`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 159

Calls

4 calls:

23.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
7.0ms	(* (cbrt (/ 841.0 108.0)) x)
15.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
14.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series26.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
4.0ms	(* (cbrt (/ 841.0 108.0)) x)
10.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify529.0ms

Counts

169 → 169

Iterations

Useful iterations: done (524.0ms)

Iter	Nodes	Cost
0	235	2594
1	491	2466
2	1707	2028
done	5001	2013

prune397.0ms

Filtered

119 candidates to 169 candidates (-42.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	169	3	172

Merged error: 0b

Counts

172 → 3

regimes86.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	11	9
done	11	9

end0.0ms

sample387.0ms

Algorithm

intervals

Results

236.0ms	8012×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample14.0ms

simplify17.0ms

prune2.0ms

localize6.0ms

rewrite15.0ms

series6.0ms

simplify762.0ms

prune83.0ms

localize9.0ms

rewrite16.0ms

series6.0ms

simplify714.0ms

prune53.0ms

localize10.0ms

rewrite67.0ms

series26.0ms

simplify529.0ms

prune397.0ms

regimes86.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample387.0ms

Profiling