Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	230×	body	80	valid
2.0ms	8×	body	1280	valid
1.0ms	5×	body	2560	valid
1.0ms	5×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify37.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	50
6	50
5	47
4	41
3	34
2	25
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

9.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify2.5s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	4722
3	1038
2	264
1	82
0	33

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

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

rewrite58.0ms

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:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
42.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

381.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
385.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
395.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
384.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify3.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	4241
2	840
1	262
0	121

prune462.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

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)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(* (* 1 (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`cbrt-prod`
11×	`add-exp-log`
10×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `pow1` `flip3--` `add-cube-cbrt` `flip--`
8×	`associate-*r/`
6×	`add-cbrt-cube` `associate-r`
5×	`prod-exp`
4×	`frac-times` `insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `cbrt-unprod`
2×	`associate-*l/`
1×	`1-exp` `swap-sqr` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
32.0ms	(* (* 1 (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

395.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
410.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
362.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
301.0ms	(* (* 1 (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1251
1	314
0	125

prune484.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

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

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

406×	`cbrt-div`
140×	`frac-times`
116×	`flip3--` `flip--`
70×	`associate-*l/`
63×	`cbrt-prod`
38×	`add-sqr-sqrt`
28×	`associate-*r/`
24×	`pow1/3`
22×	`pow1`
21×	`add-cube-cbrt`
20×	`*-un-lft-identity`
15×	`associate-r` `add-exp-log`
11×	`pow-prod-down`
10×	`swap-sqr` `associate-l` `pow-prod-up`
9×	`unswap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`add-cbrt-cube`
4×	`pow-sqr` `insert-posit16` `add-log-exp`
3×	`pow-plus`
2×	`*-commutative`
1×	`pow2`

Counts

4 → 202

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
37.0ms	(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
224.0ms	(* (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

357.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
417.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
393.0ms	(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
333.0ms	(* (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify4.5s

Counts

214 → 214

Iterations

Iter	Nodes
done	5001
2	4774
1	887
0	334

prune1.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes393.0ms

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

sample940.0ms

Algorithm

intervals

Results

570.0ms	7380×	body	80	valid
75.0ms	239×	body	1280	valid
41.0ms	166×	body	640	valid
38.0ms	94×	body	2560	valid
17.0ms	81×	body	320	valid
5.0ms	40×	body	160	valid