Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	317×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
4	47
3	42
2	28
1	18
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y z)) (* z 5.0))
0.0b	(* x (+ y z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

16.0ms	(+ (* x (+ y z)) (* z 5.0))
15.0ms	(* x (+ y z))

series59.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x (+ y z)) (* z 5.0))
28.0ms	(* x (+ y z))

simplify1.4s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	1054
1	226
0	72

prune186.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite135.0ms

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:

96.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
12.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
12.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
12.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series873.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
201.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
211.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
182.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify1.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1329
1	347
0	132

prune570.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

12.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
12.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
12.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
17.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

series818.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
180.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
180.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
226.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	789
1	255
0	99

prune528.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.5b	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
9.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
18.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
14.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

series916.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
250.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
199.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
229.0ms	(cbrt (cbrt (+ (* x (+ y z)) (* z 5.0))))

simplify1.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	789
1	255
0	99

prune564.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes282.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample832.0ms

Algorithm

intervals

Results

460.0ms	9729×	body	80	valid
52.0ms	114×	body	1280	valid
15.0ms	117×	body	640	valid
6.0ms	64×	body	320	valid
3.0ms	39×	body	160	valid