Details

sample160.0ms

Algorithm

intervals

Results

96.0ms	191×	body	10240	exit
24.0ms	15×	body	640	valid
17.0ms	206×	body	80	valid
5.0ms	21×	body	320	valid
2.0ms	14×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5143
6	3633
5	796
4	188
3	102
2	48
1	20
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
1.0b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
3.9b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`times-frac` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
5×	`associate-/r*` `distribute-rgt-out` `distribute-rgt1-in`
4×	`insert-posit16`
3×	`associate-r` `associate-l` `associate-/l*`
2×	`flip3-+` `flip3--` `div-sub` `associate-/r/` `flip-+` `flip--` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

14.0ms	(* wj (exp wj))
7.0ms	(+ (exp wj) (* wj (exp wj)))
29.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
44.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* wj (exp wj))
61.0ms	(+ (exp wj) (* wj (exp wj)))
47.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
85.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1259
1	413
0	167

prune427.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* wj wj) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+ (* wj wj) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(+ (* wj wj) x)

simplify2.3s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	2820
3	847
2	254
1	88
0	30

prune101.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* wj wj) x)) (cbrt (+ (* wj wj) x)))
0.6b	(cbrt (+ (* wj wj) x))
0.6b	(cbrt (+ (* wj wj) x))
0.6b	(cbrt (+ (* wj wj) x))

rewrite65.0ms

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` `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 → 91

Calls

4 calls:

50.0ms	(* (cbrt (+ (* wj wj) x)) (cbrt (+ (* wj wj) x)))
4.0ms	(cbrt (+ (* wj wj) x))
4.0ms	(cbrt (+ (* wj wj) x))
4.0ms	(cbrt (+ (* wj wj) x))

series461.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (cbrt (+ (* wj wj) x)) (cbrt (+ (* wj wj) x)))
119.0ms	(cbrt (+ (* wj wj) x))
110.0ms	(cbrt (+ (* wj wj) x))
131.0ms	(cbrt (+ (* wj wj) x))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
4	3771
3	1330
2	523
1	225
0	100

prune445.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.6b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* wj wj) x))
0.6b	(cbrt (+ (* wj wj) x))
0.6b	(cbrt (+ (* wj wj) x))
0.6b	(cbrt (+ (* wj wj) x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

14.0ms	(cbrt (+ (* wj wj) x))
8.0ms	(cbrt (+ (* wj wj) x))
9.0ms	(cbrt (+ (* wj wj) x))
8.0ms	(cbrt (+ (* wj wj) x))

series401.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ (* wj wj) x))
107.0ms	(cbrt (+ (* wj wj) x))
108.0ms	(cbrt (+ (* wj wj) x))
97.0ms	(cbrt (+ (* wj wj) x))

simplify1.8s

Counts

68 → 68

Iterations

Iter	Nodes
done	5006
4	2210
3	735
2	265
1	107
0	49

prune468.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.6b

regimes171.0ms

Accuracy

0% (1.7b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample8.0s

Algorithm

intervals

Results

6.4s	7388×	body	10240	exit
710.0ms	6350×	body	80	valid
245.0ms	485×	body	640	valid
239.0ms	743×	body	320	valid
126.0ms	508×	body	160	valid