Details

sample134.0ms

Algorithm

intervals

Results

73.0ms

527×

body

valid

simplify12.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	580	29
4	1150	29
5	1744	29
6	2360	29
7	3087	29
8	3421	29
done	3421	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
3.0b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b	(* (* (* x 18.0) y) z)

rewrite310.0ms

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:

17.0ms	(* (* j 27.0) k)
17.0ms	(* (* x 18.0) y)
211.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
61.0ms	(* (* (* x 18.0) y) z)

series199.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
124.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
33.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	158	1015
1	402	980
2	1636	822
done	5000	822

prune368.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
3.0b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b	(* (* (* x 18.0) y) z)

rewrite298.0ms

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:

17.0ms	(* (* x 18.0) y)
16.0ms	(* j (* 27.0 k))
203.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
59.0ms	(* (* (* x 18.0) y) z)

series195.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
19.0ms	(* j (* 27.0 k))
121.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
33.0ms	(* (* (* x 18.0) y) z)

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	156	1012
1	394	979
2	1603	821
done	5000	821

prune355.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
3.0b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b	(* (* (* x 18.0) y) z)

rewrite289.0ms

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:

17.0ms	(* (* x 18.0) y)
15.0ms	(* 27.0 (* k j))
198.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
55.0ms	(* (* (* x 18.0) y) z)

series192.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
24.0ms	(* 27.0 (* k j))
118.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify986.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	154	1012
1	390	979
2	1569	821
done	5000	821

prune328.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 27.0) (* k j))
0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
3.0b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b	(* (* (* x 18.0) y) z)

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

18.0ms	(* (sqrt 27.0) (* k j))
47.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
195.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
57.0ms	(* (* (* x 18.0) y) z)

series263.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sqrt 27.0) (* k j))
76.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
115.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
31.0ms	(* (* (* x 18.0) y) z)

simplify916.0ms

Counts

102 → 102

Iterations

Useful iterations: done (913.0ms)

Iter	Nodes	Cost
0	167	1239
1	433	1084
2	1703	916
done	5001	910

prune370.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.1b

regimes384.0ms

Accuracy

-33.1% (4.4b remaining)

Error of 6.7b against oracle of 2.3b and baseline of 5.6b

bsearch2.0ms

simplify13.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	64
1	63	63
2	73	63
3	76	63
done	76	63

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.5s

16195×

body

valid