Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	350×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4790
5	1929
4	875
3	286
2	89
1	30
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite762.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

615.0ms	(* x (+ (+ (+ y z) (+ y z)) t))
145.0ms	(+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t)))

series255.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* x (+ (+ (+ y z) (+ y z)) t))
151.0ms	(+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t)))

simplify1.4s

Counts

46 → 46

Iterations

Iter	Nodes
done	5002
2	1308
1	262
0	82

prune394.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2 (* x y))
0.0b	(* 2 (* x z))
0.0b	(+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y))))
0.0b	(+ (* y 5.0) (+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y)))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-log-exp`
14×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`sum-log`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`+-commutative` `associate-+r+` `flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

4 → 63

Calls

4 calls:

13.0ms	(* 2 (* x y))
15.0ms	(* 2 (* x z))
29.0ms	(+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y))))
71.0ms	(+ (* y 5.0) (+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y)))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 2 (* x y))
34.0ms	(* 2 (* x z))
70.0ms	(+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y))))
92.0ms	(+ (* y 5.0) (+ (* 2 (* x z)) (+ (* t x) (* 2 (* x y)))))

simplify1.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	1528
1	349
0	116

prune480.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2 (* x y))
0.0b	(* x (+ t (* z 2)))
0.0b	(+ (* x (+ t (* z 2))) (* 2 (* x y)))
0.0b	(+ (* y 5.0) (+ (* x (+ t (* z 2))) (* 2 (* x y))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

15.0ms	(* 2 (* x y))
19.0ms	(* x (+ t (* z 2)))
17.0ms	(+ (* x (+ t (* z 2))) (* 2 (* x y)))
21.0ms	(+ (* y 5.0) (+ (* x (+ t (* z 2))) (* 2 (* x y))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 2 (* x y))
68.0ms	(* x (+ t (* z 2)))
75.0ms	(+ (* x (+ t (* z 2))) (* 2 (* x y)))
121.0ms	(+ (* y 5.0) (+ (* x (+ t (* z 2))) (* 2 (* x y))))

simplify1.8s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1940
1	410
0	131

prune526.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t)))) (cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t)))))
0.6b	(cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t))))
0.6b	(cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t))))
0.6b	(cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t))))

rewrite98.0ms

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:

71.0ms	(* (cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t)))) (cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t)))))
8.0ms	(cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t))))
8.0ms	(cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t))))
8.0ms	(cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t))))

series3.7s

Counts

4 → 12

Calls

4 calls:

1.3s	(* (cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t)))) (cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t)))))
898.0ms	(cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t))))
732.0ms	(cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t))))
772.0ms	(cbrt (+ (* y 5.0) (* x (+ (+ (+ y z) (+ y z)) t))))

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1533
1	384
0	151

prune753.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes508.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	10708×	body	80	valid
24.0ms	101×	body	640	valid
24.0ms	82×	body	1280	valid
10.0ms	56×	body	320	valid
3.0ms	27×	body	160	valid