Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	243×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	640	valid

simplify38.0ms

Counts

1 → 1

Iterations

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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×	`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:

11.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify2.2s

Counts

16 → 16

Iterations

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

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite54.0ms

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:

38.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
337.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
313.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
309.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.8s

Counts

103 → 103

Iterations

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

prune563.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
18.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

409.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
421.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
381.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
376.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify2.0s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	1513
2	604
1	271
0	145

prune501.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
27.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

389.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
426.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
338.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
367.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify1.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	1513
2	604
1	271
0	145

prune543.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample589.0ms

Algorithm

intervals

Results

320.0ms	7435×	body	80	valid
81.0ms	210×	body	1280	valid
19.0ms	148×	body	640	valid
15.0ms	76×	body	2560	valid
8.0ms	85×	body	320	valid
3.0ms	46×	body	160	valid