Details

sample35.0ms

Algorithm

intervals

Results

12.0ms	256×	pre	80	true
11.0ms	256×	body	80	valid

simplify99.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	103
7	103
6	97
5	88
4	72
3	53
2	25
1	11
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-l/` `associate-r/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 41

Calls

1 calls:

46.0ms

(* (+ a b) (+ a b))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* (+ a b) (+ a b))

simplify1.1s

Counts

44 → 44

Iterations

Iter	Nodes
done	2004
3	2004
2	797
1	225
0	63

prune361.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* b b) (+ (* a b) (* a b)))
0.0b	(+ (* a a) (+ (* b b) (+ (* a b) (* a b))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`distribute-rgt-out` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

23.0ms	(+ (* b b) (+ (* a b) (* a b)))
54.0ms	(+ (* a a) (+ (* b b) (+ (* a b) (* a b))))

series96.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* b b) (+ (* a b) (* a b)))
41.0ms	(+ (* a a) (+ (* b b) (+ (* a b) (* a b))))

simplify1.1s

Counts

36 → 36

Iterations

Iter	Nodes
done	2018
3	2018
2	1049
1	215
0	64

prune293.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ a b) (+ a b))
0.4b	(* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b)))
0.5b	(* (* (+ a b) (+ a b)) (* (+ a b) (+ a b)))
0.5b	(cbrt (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))))

rewrite963.0ms

Algorithm

rewrite-expression-head

Rules

4516×	`frac-times`
3030×	`flip3-+` `flip-+`
1322×	`associate-*l/`
1178×	`associate-*r/`
787×	`pow1`
728×	`cbrt-div`
343×	`pow-prod-up`
168×	`pow-prod-down`
146×	`pow-plus`
138×	`pow-sqr`
90×	`pow2`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
22×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-cube-cbrt`
7×	`swap-sqr`
6×	`associate-r` `associate-l` `distribute-lft-out`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 1869

Calls

4 calls:

30.0ms	(* (+ a b) (+ a b))
372.0ms	(* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b)))
92.0ms	(* (* (+ a b) (+ a b)) (* (+ a b) (+ a b)))
313.0ms	(cbrt (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ a b) (+ a b))
69.0ms	(* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b)))
49.0ms	(* (* (+ a b) (+ a b)) (* (+ a b) (+ a b)))
17.0ms	(cbrt (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))))

simplify2.0s

Counts

1881 → 1881

Iterations

Iter	Nodes
done	2203
0	2203

prune22.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ a b))
0.0b	(sqrt (+ a b))
0.3b	(* (+ a b) (sqrt (+ a b)))
0.4b	(* (* (+ a b) (sqrt (+ a b))) (sqrt (+ a b)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
25×	`pow1`
21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
17×	`sqrt-prod`
16×	`associate-*l/`
14×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
10×	`associate-*r/`
7×	`sqrt-pow1` `pow1/2`
5×	`associate-l` `distribute-lft-out`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow3`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 125

Calls

4 calls:

7.0ms	(sqrt (+ a b))
6.0ms	(sqrt (+ a b))
36.0ms	(* (+ a b) (sqrt (+ a b)))
65.0ms	(* (* (+ a b) (sqrt (+ a b))) (sqrt (+ a b)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sqrt (+ a b))
48.0ms	(sqrt (+ a b))
71.0ms	(* (+ a b) (sqrt (+ a b)))
44.0ms	(* (* (+ a b) (sqrt (+ a b))) (sqrt (+ a b)))

simplify1.1s

Counts

137 → 137

Iterations

Iter	Nodes
done	2002
3	2002
2	1387
1	467
0	173

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample695.0ms

Algorithm

intervals

Results

297.0ms	8000×	body	80	valid
259.0ms	8000×	pre	80	true