Details

sample31.0ms

Algorithm

intervals

Results

14.0ms	235×	body	80	valid
3.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify69.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	50
7	50
6	47
5	44
4	38
3	31
2	25
1	12
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

1 → 13

Calls

1 calls:

7.0ms

(- x (* (/ 3.0 8.0) y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.3s

Counts

16 → 16

Iterations

Iter	Nodes
done	5001
4	2676
3	884
2	250
1	82
0	33

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

26.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
366.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
351.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
340.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	1735
2	677
1	260
0	121

prune430.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `flip--` `add-log-exp`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

396.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
330.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
398.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
357.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify2.7s

Counts

77 → 77

Iterations

Iter	Nodes
done	5005
4	4211
3	1249
2	469
1	197
0	97

prune501.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
20×	`cbrt-prod`
14×	`flip3--` `flip--`
8×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
25.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
17.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

438.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
356.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
389.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
324.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify2.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
4	4764
3	1283
2	501
1	227
0	127

prune681.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample898.0ms

Algorithm

intervals

Results

515.0ms	7386×	body	80	valid
86.0ms	94×	body	2560	valid
63.0ms	219×	body	1280	valid
39.0ms	175×	body	640	valid
16.0ms	89×	body	320	valid
5.0ms	37×	body	160	valid