Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	234×	body	80	valid
1.0ms	8×	body	320	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	3×	body	2560	valid
0.0ms	1×	body	160	valid

simplify106.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

11.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify5.4s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	2666
3	893
2	249
1	81
0	32

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

107.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series3.4s

Counts

4 → 12

Calls

4 calls:

1.6s	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
768.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
538.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
525.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify4.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
3	1722
2	641
1	257
0	119

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

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

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3--` `flip--`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

19.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
19.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
242.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
15.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series4.0s

Counts

4 → 12

Calls

4 calls:

874.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
892.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
1.2s	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
959.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify4.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	1490
2	600
1	268
0	142

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize188.0ms

Local error

Found 4 expressions with local error:

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)))))
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))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-div`
19×	`flip3--` `flip--`
12×	`cbrt-prod` `frac-times`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-*l/`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 67

Calls

4 calls:

24.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
28.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
24.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
8.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series3.5s

Counts

4 → 12

Calls

4 calls:

680.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
1.3s	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
600.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
913.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify11.4s

Counts

79 → 79

Iterations

Iter	Nodes
done	5021
4	4616
3	1287
2	499
1	225
0	125

prune2.7s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end2.0ms

sample4.1s

Algorithm

intervals

Results

3.7s	7447×	body	80	valid
108.0ms	192×	body	1280	valid
27.0ms	160×	body	640	valid
18.0ms	78×	body	2560	valid
10.0ms	41×	body	160	valid
10.0ms	82×	body	320	valid