Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	230×	body	80	valid
3.0ms	5×	body	2560	valid
2.0ms	8×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify217.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:

24.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify5.4s

Counts

16 → 16

Iterations

Iter	Nodes
done	5005
4	2668
3	888
2	250
1	82
0	33

prune145.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize96.0ms

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))))

rewrite125.0ms

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:

12.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
12.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
11.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
79.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.8s

Counts

4 → 12

Calls

4 calls:

522.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
441.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
385.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
434.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify3.9s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	1725
2	645
1	259
0	121

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize186.0ms

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))))

rewrite894.0ms

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:

15.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
113.0ms	(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
681.0ms	(* (* (* (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))))

series2.1s

Counts

4 → 12

Calls

4 calls:

511.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
502.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
548.0ms	(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
544.0ms	(* (* (* (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))))

simplify5.5s

Counts

214 → 214

Iterations

Iter	Nodes
done	5001
2	2167
1	873
0	334

prune2.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize411.0ms

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

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

6202×	`cbrt-div`
2196×	`frac-times`
1471×	`flip3--` `flip--`
882×	`associate-*l/`
408×	`associate-*r/`
42×	`cbrt-prod`
26×	`add-sqr-sqrt`
25×	`pow1`
20×	`add-exp-log`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`pow-prod-down`
13×	`pow1/3`
12×	`associate-r`
11×	`prod-exp` `cbrt-unprod`
7×	`add-cbrt-cube` `associate-l`
6×	`swap-sqr`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 847

Calls

4 calls:

78.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.2s	(* (* (* (cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))) (* (cbrt (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))))
9.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
14.0ms	(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))

series2.2s

Counts

4 → 12

Calls

4 calls:

576.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
527.0ms	(* (* (* (cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))) (* (cbrt (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))))
565.0ms	(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
574.0ms	(cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))

simplify6.9s

Counts

859 → 859

Iterations

Iter	Nodes
done	5000
0	1764

prune17.9s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes918.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

503.0ms	7380×	body	80	valid
87.0ms	239×	body	1280	valid
39.0ms	81×	body	320	valid
39.0ms	166×	body	640	valid
33.0ms	94×	body	2560	valid
5.0ms	40×	body	160	valid