Details

sample37.0ms

Algorithm

intervals

Results

13.0ms	308×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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:

27.0ms	(* x (+ y z))
34.0ms	(+ (* x (+ y z)) (* z 5.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* x (+ y z))
37.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify522.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	1001
1	225
0	72

prune256.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

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` `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:

39.0ms	(* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0)))))
7.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
4.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
4.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

313.0ms	(* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0)))))
273.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
256.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
248.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))

simplify641.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1356
1	347
0	132

prune690.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) (* z (+ x 5.0))))
0.5b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0))))))
0.9b	(pow (cbrt (cbrt (+ (* x (+ y z)) (* z 5.0)))) (+ 3 1))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div`
16×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow-unpow` `add-cbrt-cube` `pow1/3` `add-log-exp`
2×	`pow-pow` `associate-l/` `associate-r/`
1×	`pow-to-exp` `unpow-prod-up` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
22.0ms	(cbrt (* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0))))))
18.0ms	(pow (cbrt (cbrt (+ (* x (+ y z)) (* z 5.0)))) (+ 3 1))

series1.1s

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (+ (* x y) (* z (+ x 5.0))))
227.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
343.0ms	(cbrt (* (cbrt (+ (* x y) (* z (+ x 5.0)))) (cbrt (+ (* x y) (* z (+ x 5.0))))))
331.0ms	(pow (cbrt (cbrt (+ (* x (+ y z)) (* z 5.0)))) (+ 3 1))

simplify984.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	2090
1	608
0	226

prune822.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4))
0.9b	(pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4)
0.9b	(pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4)
0.9b	(pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

49×	`cbrt-prod`
36×	`unpow-prod-down`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow-unpow`
7×	`pow1` `add-exp-log`
6×	`pow-pow`
4×	`add-cbrt-cube` `pow1/3` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`

Counts

4 → 93

Calls

4 calls:

18.0ms	(cbrt (pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4))
15.0ms	(pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4)
22.0ms	(pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4)
19.0ms	(pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4)

series1.7s

Counts

4 → 12

Calls

4 calls:

592.0ms	(cbrt (pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4))
395.0ms	(pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4)
375.0ms	(pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4)
357.0ms	(pow (cbrt (cbrt (+ (* z (+ x 5.0)) (* y x)))) 4)

simplify696.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1505
1	491
0	187

prune1.0s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes500.0ms

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

sample1.2s

Algorithm

intervals

Results

614.0ms	9770×	body	80	valid
25.0ms	117×	body	1280	valid
24.0ms	136×	body	640	valid
8.0ms	65×	body	320	valid
3.0ms	33×	body	160	valid