Details

sample204.0ms

Algorithm

intervals

Results

93.0ms

557×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	616	29
4	1722	29
done	5000	29

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.0b	(* (* (* x 18.0) y) z)
4.5b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite579.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
32.0ms	(* (* j 27.0) k)
102.0ms	(* (* (* x 18.0) y) z)
406.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* x 18.0) y)
40.0ms	(* (* j 27.0) k)
47.0ms	(* (* (* x 18.0) y) z)
209.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify3.1s

Counts

93 → 93

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	158	1015
1	427	980
2	2863	842
done	5000	832

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* 27.0 k) j)
4.0b	(* (* (* x 18.0) y) z)
4.5b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite557.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

38.0ms	(* (* x 18.0) y)
34.0ms	(* (* 27.0 k) j)
90.0ms	(* (* (* x 18.0) y) z)
389.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x 18.0) y)
36.0ms	(* (* 27.0 k) j)
49.0ms	(* (* (* x 18.0) y) z)
203.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify3.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (623.0ms)

Iter	Nodes	Cost
0	157	1015
1	426	980
2	2869	832
done	5001	832

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
4.0b	(* (* (* x 18.0) y) z)
4.5b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
26.0ms	(* 27.0 (* k j))
83.0ms	(* (* (* x 18.0) y) z)
352.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x 18.0) y)
36.0ms	(* 27.0 (* k j))
54.0ms	(* (* (* x 18.0) y) z)
186.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify2.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (496.0ms)

Iter	Nodes	Cost
0	154	1012
1	411	979
2	2542	831
done	5001	831

prune915.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.0b

localize71.0ms

Local error

Found 4 expressions with local error:

4.5b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.1b	(cbrt (* (* 27.0 k) j))
7.1b	(cbrt (* (* 27.0 k) j))
7.1b	(cbrt (* (* 27.0 k) j))

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

368.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
20.0ms	(cbrt (* (* 27.0 k) j))
19.0ms	(cbrt (* (* 27.0 k) j))
30.0ms	(cbrt (* (* 27.0 k) j))

series751.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
172.0ms	(cbrt (* (* 27.0 k) j))
174.0ms	(cbrt (* (* 27.0 k) j))
180.0ms	(cbrt (* (* 27.0 k) j))

simplify3.4s

Counts

63 → 63

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	103	808
1	258	799
2	862	706
3	4499	683
done	5000	659

prune941.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.0b

regimes3.3s

Accuracy

31.4% (2.5b remaining)

Error of 4.5b against oracle of 2.0b and baseline of 5.7b

bsearch515.0ms

Steps

Iters	Range		Point
7	3.095668687735648e-73	6.849074586855587e-71	7.599063119527469e-73
8	-2.3304752159111582e-263	-7.021949338371723e-268	-2.2838980492380643e-263

simplify39.0ms

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	56	96
1	89	91
2	96	91
3	97	91
done	97	91

end0.0ms

sample7.1s

Algorithm

intervals

Results

4.5s

16032×

body

valid