Details

sample66.0ms

Algorithm

intervals

Results

23.0ms

391×

body

valid

simplify122.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
5	47
4	44
3	37
2	25
1	15
0	8

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

42.0ms	(+ (* (* z z) 3) (* x y))
45.0ms	(* (* z z) 3)

series117.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(+ (* (* z z) 3) (* x y))
33.0ms	(* (* z z) 3)

simplify5.3s

Counts

38 → 38

Iterations

Iter	Nodes
done	5007
3	2133
2	632
1	180
0	62

prune508.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

2 → 31

Calls

2 calls:

27.0ms	(+ (* z (* z 3)) (* x y))
21.0ms	(* z (* z 3))

series133.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(+ (* z (* z 3)) (* x y))
48.0ms	(* z (* z 3))

simplify6.5s

Counts

37 → 37

Iterations

Iter	Nodes
done	5003
3	2894
2	597
1	171
0	58

prune475.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* z z) (sqrt 3)) (sqrt 3)) (* x y))
0.3b	(* (* (* z z) (sqrt 3)) (sqrt 3))
0.3b	(* (* z z) (sqrt 3))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-r`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`associate-l` `*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 61

Calls

3 calls:

116.0ms	(+ (* (* (* z z) (sqrt 3)) (sqrt 3)) (* x y))
170.0ms	(* (* (* z z) (sqrt 3)) (sqrt 3))
38.0ms	(* (* z z) (sqrt 3))

series286.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(+ (* (* (* z z) (sqrt 3)) (sqrt 3)) (* x y))
97.0ms	(* (* (* z z) (sqrt 3)) (sqrt 3))
62.0ms	(* (* z z) (sqrt 3))

simplify7.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	3958
2	1006
1	269
0	91

prune670.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (sqrt 3)) z)
0.2b	(* (* (* (cbrt (sqrt 3)) z) (* (* (cbrt (sqrt 3)) z) (sqrt 3))) (cbrt (sqrt 3)))
0.2b	(* (* (cbrt (sqrt 3)) z) (* (* (cbrt (sqrt 3)) z) (sqrt 3)))
0.4b	(* (* (cbrt (sqrt 3)) z) (sqrt 3))

rewrite740.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1` `add-exp-log`
42×	`add-cbrt-cube`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
19×	`add-sqr-sqrt` `associate-r`
14×	`cbrt-prod`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-l`
10×	`sqrt-prod`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 118

Calls

4 calls:

19.0ms	(* (cbrt (sqrt 3)) z)
528.0ms	(* (* (* (cbrt (sqrt 3)) z) (* (* (cbrt (sqrt 3)) z) (sqrt 3))) (cbrt (sqrt 3)))
137.0ms	(* (* (cbrt (sqrt 3)) z) (* (* (cbrt (sqrt 3)) z) (sqrt 3)))
47.0ms	(* (* (cbrt (sqrt 3)) z) (sqrt 3))

series1.8s

Counts

4 → 12

Calls

4 calls:

479.0ms	(* (cbrt (sqrt 3)) z)
133.0ms	(* (* (* (cbrt (sqrt 3)) z) (* (* (cbrt (sqrt 3)) z) (sqrt 3))) (cbrt (sqrt 3)))
556.0ms	(* (* (cbrt (sqrt 3)) z) (* (* (cbrt (sqrt 3)) z) (sqrt 3)))
615.0ms	(* (* (cbrt (sqrt 3)) z) (sqrt 3))

simplify3.6s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1506
1	370
0	139

prune1.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

527.0ms

12246×

body

valid