Details

sample591.0ms

Algorithm

intervals

Results

156.0ms	59×	body	5120	valid
126.0ms	413×	body	80	nan
75.0ms	51×	body	2560	valid
59.0ms	240×	body	80	valid
58.0ms	34×	body	1280	valid
42.0ms	24×	body	10240	exit
18.0ms	16×	body	640	valid
3.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify981.0ms

Counts

1 → 1

Iterations

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 49.3b

localize87.0ms

Local error

Found 4 expressions with local error:

15.5b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
15.5b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
15.5b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
23.5b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

rewrite2.3s

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:

58.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
30.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
43.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
2.2s	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

series910.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
111.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
133.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
558.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

simplify1.4s

Counts

228 → 228

Iterations

Iter	Nodes
done	2000
2	2000
1	698
0	218

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 26.9b

localize17.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 w) (/ 0 2))

rewrite26.0ms

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:

25.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify2.7s

Counts

56 → 56

Iterations

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

prune419.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.8b

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

prune111.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.8b

localize96.0ms

Local error

Found 4 expressions with local error:

14.8b	(sqrt (- (* (* (* (cbrt (/ c0 h)) (cbrt (/ c0 h))) (* (cbrt (/ c0 h)) (/ (* (/ d D) (/ d D)) w))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
15.5b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
15.5b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
30.5b	(+ (sqrt (- (* (* (* (cbrt (/ c0 h)) (cbrt (/ c0 h))) (* (cbrt (/ c0 h)) (/ (* (/ d D) (/ d D)) w))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

rewrite5.6s

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-div` `unswap-sqr`
6×	`fma-def` `frac-add` `sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--`
2×	`pow-prod-down` `*-commutative`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 170

Calls

4 calls:

1.2s	(sqrt (- (* (* (* (cbrt (/ c0 h)) (cbrt (/ c0 h))) (* (cbrt (/ c0 h)) (/ (* (/ d D) (/ d D)) w))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
55.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
58.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
4.3s	(+ (sqrt (- (* (* (* (cbrt (/ c0 h)) (cbrt (/ c0 h))) (* (cbrt (/ c0 h)) (/ (* (/ d D) (/ d D)) w))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

series1.3s

Counts

4 → 12

Calls

4 calls:

490.0ms	(sqrt (- (* (* (* (cbrt (/ c0 h)) (cbrt (/ c0 h))) (* (cbrt (/ c0 h)) (/ (* (/ d D) (/ d D)) w))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
84.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
99.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
658.0ms	(+ (sqrt (- (* (* (* (cbrt (/ c0 h)) (cbrt (/ c0 h))) (* (cbrt (/ c0 h)) (/ (* (/ d D) (/ d D)) w))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

simplify1.8s

Counts

182 → 182

Iterations

Iter	Nodes
done	2011
2	2011
1	726
0	235

prune1.7s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 25.7b

regimes2.4s

Accuracy

26.7% (5.7b remaining)

Error of 31.5b against oracle of 25.8b and baseline of 33.6b

bsearch9.0ms

simplify22.0ms

Iterations

Iter	Nodes
done	50
1	50
0	41

end0.0ms

sample21.8s

Algorithm

intervals

Results

6.2s	2234×	body	5120	valid
5.1s	12925×	body	80	nan
3.2s	1738×	body	2560	valid
1.9s	6725×	body	80	valid
1.8s	978×	body	1280	valid
1.4s	560×	body	10240	exit
474.0ms	425×	body	640	valid
257.0ms	229×	body	320	valid
54.0ms	106×	body	160	valid