Details

sample31.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify6.4s

Counts

1 → 1

Iterations

Iter	Nodes
9	8094
8	1789
7	610
6	279
5	152
4	93
3	43
2	26
1	13
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`pow2` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

23.0ms	(+ (* x (* x x)) (* x x))
18.0ms	(* x (* x x))

series137.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ (* x (* x x)) (* x x))
46.0ms	(* x (* x x))

simplify1.1s

Counts

45 → 45

Iterations

Iter	Nodes
3	3016
2	543
1	151
0	59

prune272.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* x (* x x))
29.8b	(sqrt (+ (* x (* x x)) (* x x)))
29.8b	(sqrt (+ (* x (* x x)) (* x x)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
10×	`pow-prod-up` `sqrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sqrt-div` `insert-posit16` `add-log-exp`
2×	`pow2` `rem-sqrt-square` `distribute-lft1-in` `sqrt-pow1` `flip3-+` `pow-plus` `pow1/2` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

20.0ms	(* x (* x x))
19.0ms	(* x (* x x))
25.0ms	(sqrt (+ (* x (* x x)) (* x x)))
26.0ms	(sqrt (+ (* x (* x x)) (* x x)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* x (* x x))
46.0ms	(* x (* x x))
50.0ms	(sqrt (+ (* x (* x x)) (* x x)))
49.0ms	(sqrt (+ (* x (* x x)) (* x x)))

simplify712.0ms

Counts

98 → 98

Iterations

Iter	Nodes
3	2221
2	477
1	179
0	85

prune666.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
30.9b	(cbrt (+ (* x (* x x)) (* x x)))
30.9b	(cbrt (+ (* x (* x x)) (* x x)))
30.9b	(cbrt (+ (* x (* x x)) (* x x)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`swap-sqr` `associate-r` `associate-l`
7×	`distribute-lft1-in` `distribute-lft-out`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `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 → 103

Calls

4 calls:

92.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
13.0ms	(cbrt (+ (* x (* x x)) (* x x)))
11.0ms	(cbrt (+ (* x (* x x)) (* x x)))
11.0ms	(cbrt (+ (* x (* x x)) (* x x)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x))))
66.0ms	(cbrt (+ (* x (* x x)) (* x x)))
59.0ms	(cbrt (+ (* x (* x x)) (* x x)))
46.0ms	(cbrt (+ (* x (* x x)) (* x x)))

simplify1.4s

Counts

115 → 115

Iterations

Iter	Nodes
3	2886
2	1062
1	350
0	143

prune774.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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
2	6
1	6
0	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

569.0ms	8000×	pre	80	true
416.0ms	8000×	body	80	valid