Details

sample196.0ms

Algorithm

intervals

Results

146.0ms	232×	body	10240	exit
19.0ms	206×	body	80	valid
7.0ms	27×	body	320	valid
5.0ms	15×	body	640	valid
2.0ms	13×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
4.4b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

18.0ms	(+ (exp wj) (* wj (exp wj)))
10.0ms	(* wj (exp wj))
9.0ms	(* wj (exp wj))
36.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (exp wj) (* wj (exp wj)))
37.0ms	(* wj (exp wj))
45.0ms	(* wj (exp wj))
81.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify3.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5016
3	2989
2	716
1	260
0	105

prune365.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- (* wj wj) (* x (+ wj wj))) x)
0.0b	(- (* wj wj) (* x (+ wj wj)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

22.0ms	(+ (- (* wj wj) (* x (+ wj wj))) x)
17.0ms	(- (* wj wj) (* x (+ wj wj)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (- (* wj wj) (* x (+ wj wj))) x)
57.0ms	(- (* wj wj) (* x (+ wj wj)))

simplify2.2s

Counts

38 → 38

Iterations

Iter	Nodes
done	5004
3	2681
2	605
1	182
0	64

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* wj (exp wj)) (* wj (exp wj)))
0.1b	(* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))
4.4b	(- wj (/ (- (cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))) x) (+ (exp wj) (* wj (exp wj)))))
40.2b	(cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj))))

rewrite481.0ms

Algorithm

rewrite-expression-head

Rules

198×	`pow1`
86×	`pow-prod-down`
57×	`add-cbrt-cube`
40×	`add-exp-log`
39×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
19×	`pow-plus`
16×	`pow-sqr`
9×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-log-exp`
4×	`pow2` `add-cube-cbrt` `insert-posit16`
2×	`associate-r` `associate-l` `pow3` `*-commutative` `difference-of-squares`
1×	`cbrt-prod` `sub-neg` `times-frac` `flip3--` `pow1/3` `diff-log` `div-sub` `swap-sqr` `rem-cbrt-cube` `flip--` `distribute-lft-out--` `associate--r-`

Counts

4 → 138

Calls

4 calls:

43.0ms	(* (* wj (exp wj)) (* wj (exp wj)))
192.0ms	(* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))
42.0ms	(- wj (/ (- (cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))) x) (+ (exp wj) (* wj (exp wj)))))
201.0ms	(cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* wj (exp wj)) (* wj (exp wj)))
90.0ms	(* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))
107.0ms	(- wj (/ (- (cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))) x) (+ (exp wj) (* wj (exp wj)))))
58.0ms	(cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj))))

simplify1.7s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	1187
1	373
0	147

prune383.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize86.0ms

Local error

Found 4 expressions with local error:

4.4b	(- wj (/ (- (cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))) x) (+ (exp wj) (* wj (exp wj)))))
4.4b	(- wj (/ (- (cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))) x) (+ (exp wj) (* wj (exp wj)))))
40.2b	(cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj))))
40.2b	(cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj))))

rewrite476.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `difference-of-squares`
2×	`cbrt-prod` `sub-neg` `times-frac` `flip3--` `pow1/3` `diff-log` `div-sub` `pow3` `rem-cbrt-cube` `flip--` `distribute-lft-out--` `associate--r-`

Counts

4 → 56

Calls

4 calls:

32.0ms	(- wj (/ (- (cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))) x) (+ (exp wj) (* wj (exp wj)))))
24.0ms	(- wj (/ (- (cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))) x) (+ (exp wj) (* wj (exp wj)))))
206.0ms	(cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj))))
214.0ms	(cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(- wj (/ (- (cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))) x) (+ (exp wj) (* wj (exp wj)))))
126.0ms	(- wj (/ (- (cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj)))) x) (+ (exp wj) (* wj (exp wj)))))
61.0ms	(cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj))))
51.0ms	(cbrt (* (* (* wj (exp wj)) (* wj (exp wj))) (* wj (exp wj))))

simplify1.7s

Counts

68 → 68

Iterations

Iter	Nodes
done	5003
3	1535
2	442
1	174
0	76

prune462.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes86.0ms

Accuracy

0% (1.3b remaining)

Error of 2.2b against oracle of 0.9b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample8.7s

Algorithm

intervals

Results

6.6s	7653×	body	10240	exit
1.1s	6275×	body	80	valid
230.0ms	801×	body	320	valid
194.0ms	476×	body	640	valid
102.0ms	537×	body	160	valid