Details

sample150.0ms

Algorithm

intervals

Results

80.0ms

463×

body

valid

simplify13.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite381.0ms

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:

28.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
262.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
66.0ms	(* (* (* x 18.0) y) z)

series255.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
169.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
42.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 2 (351.0ms)

Iter	Nodes	Cost
0	158	1015
1	402	980
2	1642	822
done	5000	822

prune469.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite392.0ms

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:

25.0ms	(* j (* 27.0 k))
29.0ms	(* (* x 18.0) y)
269.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
66.0ms	(* (* (* x 18.0) y) z)

series240.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* j (* 27.0 k))
30.0ms	(* (* x 18.0) y)
155.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
33.0ms	(* (* (* x 18.0) y) z)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	156	1012
1	394	979
2	1605	821
done	5000	821

prune398.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite346.0ms

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:

19.0ms	(* (* x 18.0) y)
17.0ms	(* 27.0 (* k j))
246.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
61.0ms	(* (* (* x 18.0) y) z)

series201.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 18.0) y)
21.0ms	(* 27.0 (* k j))
123.0ms	(* 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 (341.0ms)

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

prune480.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.5b

localize39.0ms

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)))
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)

rewrite443.0ms

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:

21.0ms	(* (sqrt 27.0) (* k j))
54.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
299.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
66.0ms	(* (* (* x 18.0) y) z)

series334.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (sqrt 27.0) (* k j))
107.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
147.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
34.0ms	(* (* (* x 18.0) y) z)

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

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

prune564.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

regimes1.1s

Accuracy

-11.6% (3.8b remaining)

Error of 6.0b against oracle of 2.3b and baseline of 5.6b

bsearch346.0ms

Steps

Iters	Range		Point
9	-7.388010365588066e-205	-2.2376113621747525e-213	-4.628878247562696e-205
6	-6.781789720139141e+102	-1.5729262717800982e+102	-1.6652022835157428e+102

simplify35.0ms

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	56	97
1	85	92
2	95	92
3	98	92
done	98	92

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.9s

15970×

body

valid