Details

sample42.0ms

Algorithm

intervals

Results

22.0ms

386×

body

valid

simplify53.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	8	15
1	15	15
2	25	13
3	37	9
4	45	9
5	48	9
done	48	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

61.0ms	(+ (+ (* x y) (* z z)) (* z z))
17.0ms	(+ (* x y) (* z z))
203.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series177.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (+ (* x y) (* z z)) (* z z))
45.0ms	(+ (* x y) (* z z))
66.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.6s

Counts

47 → 47

Iterations

Useful iterations: 3 (956.0ms)

Iter	Nodes	Cost
0	70	791
1	208	667
2	738	601
3	2923	519
done	5000	519

prune202.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* 3 (* z z)))
0.2b	(* 3 (* z z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

18.0ms	(+ (* x y) (* 3 (* z z)))
34.0ms	(* 3 (* z z))

series144.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ (* x y) (* 3 (* z z)))
48.0ms	(* 3 (* z z))

simplify5.5s

Counts

36 → 36

Iterations

Useful iterations: 3 (599.0ms)

Iter	Nodes	Cost
0	57	370
1	159	340
2	505	306
3	1492	294
4	4067	294
done	5002	294

prune102.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (* 3 z) z))
0.2b	(* (* 3 z) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

13.0ms	(+ (* x y) (* (* 3 z) z))
19.0ms	(* (* 3 z) z)

series103.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (* x y) (* (* 3 z) z))
27.0ms	(* (* 3 z) z)

simplify2.7s

Counts

35 → 35

Iterations

Useful iterations: 3 (789.0ms)

Iter	Nodes	Cost
0	59	365
1	174	335
2	665	301
3	1965	287
done	5001	287

prune105.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.2b	(* (cbrt 3) (* z z))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`cbrt-prod`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 62

Calls

3 calls:

20.0ms	(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
90.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
20.0ms	(* (cbrt 3) (* z z))

series311.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (* x y) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
116.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
74.0ms	(* (cbrt 3) (* z z))

simplify3.3s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	89	1026
1	241	960
2	902	670
3	3619	513
done	5000	513

prune167.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

846.0ms

12223×

body

valid