Details

sample214.0ms

Algorithm

intervals

Results

164.0ms	232×	body	10240	exit
19.0ms	211×	body	80	valid
6.0ms	15×	body	640	valid
6.0ms	20×	body	320	valid
3.0ms	13×	body	160	valid

simplify633.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	398
3	109
2	48
1	20
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.5b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
4.2b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite100.0ms

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:

9.0ms	(* wj (exp wj))
8.0ms	(+ (exp wj) (* wj (exp wj)))
51.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
31.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series194.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* wj (exp wj))
45.0ms	(+ (exp wj) (* wj (exp wj)))
44.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
73.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1677
1	419
0	167

prune571.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (* x wj) 2))
0.0b	(+ (* wj wj) (- x (* (* x wj) 2)))
0.0b	(* (* x wj) 2)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

9.0ms	(- x (* (* x wj) 2))
11.0ms	(+ (* wj wj) (- x (* (* x wj) 2)))
14.0ms	(* (* x wj) 2)

series121.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- x (* (* x wj) 2))
35.0ms	(+ (* wj wj) (- x (* (* x wj) 2)))
31.0ms	(* (* x wj) 2)

simplify1.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	1440
1	260
0	89

prune223.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (* x wj) 2))) (cbrt (- x (* (* x wj) 2))))
0.6b	(cbrt (- x (* (* x wj) 2)))
0.6b	(cbrt (- x (* (* x wj) 2)))
0.6b	(cbrt (- x (* (* x wj) 2)))

rewrite31.0ms

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:

23.0ms	(* (cbrt (- x (* (* x wj) 2))) (cbrt (- x (* (* x wj) 2))))
2.0ms	(cbrt (- x (* (* x wj) 2)))
2.0ms	(cbrt (- x (* (* x wj) 2)))
2.0ms	(cbrt (- x (* (* x wj) 2)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (- x (* (* x wj) 2))) (cbrt (- x (* (* x wj) 2))))
111.0ms	(cbrt (- x (* (* x wj) 2)))
144.0ms	(cbrt (- x (* (* x wj) 2)))
137.0ms	(cbrt (- x (* (* x wj) 2)))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1536
1	400
0	161

prune586.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* wj wj) (- x (* (* x wj) 2)))) (cbrt (+ (* wj wj) (- x (* (* x wj) 2)))))
0.6b	(cbrt (+ (* wj wj) (- x (* (* x wj) 2))))
0.6b	(cbrt (+ (* wj wj) (- x (* (* x wj) 2))))
0.6b	(cbrt (+ (* wj wj) (- x (* (* x wj) 2))))

rewrite151.0ms

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:

108.0ms	(* (cbrt (+ (* wj wj) (- x (* (* x wj) 2)))) (cbrt (+ (* wj wj) (- x (* (* x wj) 2)))))
14.0ms	(cbrt (+ (* wj wj) (- x (* (* x wj) 2))))
14.0ms	(cbrt (+ (* wj wj) (- x (* (* x wj) 2))))
14.0ms	(cbrt (+ (* wj wj) (- x (* (* x wj) 2))))

series990.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (+ (* wj wj) (- x (* (* x wj) 2)))) (cbrt (+ (* wj wj) (- x (* (* x wj) 2)))))
268.0ms	(cbrt (+ (* wj wj) (- x (* (* x wj) 2))))
229.0ms	(cbrt (+ (* wj wj) (- x (* (* x wj) 2))))
258.0ms	(cbrt (+ (* wj wj) (- x (* (* x wj) 2))))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1101
1	268
0	108

prune492.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

regimes145.0ms

Accuracy

0% (1.5b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample9.3s

Algorithm

intervals

Results

7.0s	7611×	body	10240	exit
786.0ms	743×	body	320	valid
753.0ms	6355×	body	80	valid
215.0ms	446×	body	640	valid
132.0ms	544×	body	160	valid