Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	237×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	5×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

simplify67.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

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))

rewrite5.0ms

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` `flip--`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify2.9s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	4693
3	1034
2	262
1	81
0	32

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite39.0ms

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` `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 → 87

Calls

4 calls:

29.0ms	(* (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)))

series1.7s

Counts

4 → 12

Calls

4 calls:

473.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
394.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
433.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
437.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify5.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	4635
2	833
1	260
0	119

prune544.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

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))))

rewrite25.0ms

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` `add-log-exp`
2×	`associate-l/` `associate-r/`

Counts

4 → 59

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
10.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.8s

Counts

4 → 12

Calls

4 calls:

400.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
505.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
414.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
468.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	1873
2	638
1	268
0	142

prune713.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

106×	`cbrt-div`
35×	`flip3--` `flip--`
32×	`frac-times`
16×	`associate-*l/`
14×	`cbrt-prod`
10×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 82

Calls

4 calls:

5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
80.0ms	(cbrt (* (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (- x (* (/ 3.0 8.0) y)))))
19.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
6.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series2.0s

Counts

4 → 12

Calls

4 calls:

534.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
488.0ms	(cbrt (* (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (- x (* (/ 3.0 8.0) y)))))
451.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
498.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	2266
2	762
1	388
0	218

prune894.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes467.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample710.0ms

Algorithm

intervals

Results

317.0ms	7443×	body	80	valid
48.0ms	98×	body	320	valid
27.0ms	179×	body	1280	valid
18.0ms	159×	body	640	valid
13.0ms	75×	body	2560	valid
3.0ms	46×	body	160	valid