Details

sample486.0ms

Algorithm

intervals

Results

114.0ms	60×	body	2560	valid
90.0ms	386×	body	80	nan
87.0ms	62×	body	5120	valid
55.0ms	28×	body	1280	valid
47.0ms	228×	body	80	valid
30.0ms	19×	body	10240	exit
8.0ms	13×	body	320	valid
7.0ms	9×	body	640	valid
1.0ms	2×	body	160	valid

simplify951.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2004
3	2004
2	286
1	60
0	21

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.7b

localize80.0ms

Local error

Found 4 expressions with local error:

13.6b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
13.6b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
13.6b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
26.4b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

172×	`add-cbrt-cube` `add-exp-log`
72×	`cbrt-undiv` `div-exp`
63×	`add-sqr-sqrt`
60×	`prod-exp` `cbrt-unprod`
48×	`times-frac`
39×	`associate-l`
33×	`*-un-lft-identity` `add-cube-cbrt`
21×	`associate-r`
12×	`unswap-sqr`
10×	`pow1`
7×	`fma-def`
6×	`sqrt-div` `frac-add` `div-inv` `add-log-exp`
5×	`frac-times` `associate-l/` `associate-r/`
4×	`expm1-log1p-u` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `pow-prod-down` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `difference-of-squares`

Counts

4 → 216

Calls

4 calls:

60.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
29.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
43.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
1.7s	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

series920.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
95.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
106.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
593.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

simplify1.3s

Counts

228 → 228

Iterations

Iter	Nodes
done	2000
2	2000
1	698
0	218

prune1.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 29.2b

localize9.0ms

Local error

Found 1 expressions with local error:

6.4b	(* (/ c0 w) (/ 0 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 53

Calls

1 calls:

21.0ms

(* (/ c0 w) (/ 0 2))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (/ c0 w) (/ 0 2))

simplify2.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	2129
4	2129
3	1300
2	492
1	278
0	112

prune348.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.1b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune135.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.1b

localize71.0ms

Local error

Found 4 expressions with local error:

13.3b	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
13.6b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
13.6b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
30.4b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* c0 (/ (/ (* (/ d D) (/ d D)) w) h)))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

116×	`add-cbrt-cube` `add-exp-log`
48×	`cbrt-undiv` `div-exp`
46×	`add-sqr-sqrt`
40×	`prod-exp` `cbrt-unprod`
32×	`times-frac`
26×	`associate-l`
25×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-r`
9×	`pow1`
8×	`sqrt-prod` `unswap-sqr`
7×	`fma-def`
6×	`add-log-exp`
4×	`expm1-log1p-u` `sqrt-div` `associate-*r/` `insert-posit16` `log1p-expm1-u` `div-inv`
2×	`frac-times` `flip3--` `pow-prod-down` `associate-l/` `frac-add` `-commutative` `flip--` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 168

Calls

4 calls:

423.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
53.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
48.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
1.4s	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* c0 (/ (/ (* (/ d D) (/ d D)) w) h)))

series1.5s

Counts

4 → 12

Calls

4 calls:

383.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
103.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
501.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
471.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* c0 (/ (/ (* (/ d D) (/ d D)) w) h)))

simplify1.3s

Counts

180 → 180

Iterations

Iter	Nodes
done	2004
2	2004
1	687
0	224

prune917.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 28.0b

regimes2.0s

Accuracy

12.5% (6.8b remaining)

Error of 33.1b against oracle of 26.3b and baseline of 34.0b

bsearch4.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	47
1	47
0	38

end0.0ms

sample19.9s

Algorithm

intervals

Results

5.1s	2253×	body	5120	valid
4.4s	13145×	body	80	nan
2.9s	1764×	body	2560	valid
2.1s	903×	body	1280	valid
1.8s	6803×	body	80	valid
1.6s	577×	body	10240	exit
442.0ms	444×	body	640	valid
208.0ms	227×	body	320	valid
78.0ms	113×	body	160	valid