Details

sample601.0ms

Algorithm

intervals

Results

156.0ms	73×	body	5120	valid
155.0ms	63×	body	2560	valid
95.0ms	389×	body	80	nan
52.0ms	217×	body	80	valid
38.0ms	20×	body	10240	exit
32.0ms	29×	body	1280	valid
13.0ms	13×	body	640	valid
4.0ms	6×	body	320	valid
2.0ms	4×	body	160	valid

simplify758.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	3014
2	286
1	60
0	21

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.6b

localize82.0ms

Local error

Found 4 expressions with local error:

14.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
14.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
14.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
28.5b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite1.6s

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:

43.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
55.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
30.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
1.5s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series901.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
100.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
119.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
565.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify1.0s

Counts

228 → 228

Iterations

Iter	Nodes
2	2889
1	696
0	217

prune1.7s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 28.9b

localize17.0ms

Local error

Found 1 expressions with local error:

4.9b	(* (/ c0 w) (/ 0 2))

rewrite18.0ms

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:

15.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify2.1s

Counts

56 → 56

Iterations

Iter	Nodes
4	2867
3	845
2	430
1	272
0	112

prune364.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 28.0b

localize19.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune145.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 28.0b

localize105.0ms

Local error

Found 4 expressions with local error:

14.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
28.5b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
28.5b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
28.5b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite4.4s

Algorithm

rewrite-expression-head

Rules

60×	`add-cbrt-cube` `add-exp-log`
29×	`add-sqr-sqrt`
24×	`cbrt-undiv` `div-exp`
21×	`fma-def`
20×	`prod-exp` `cbrt-unprod`
19×	`*-un-lft-identity` `add-cube-cbrt`
18×	`sqrt-div` `frac-add`
16×	`times-frac`
13×	`associate-l`
12×	`sqrt-prod`
10×	`add-log-exp`
9×	`flip3--` `flip--`
7×	`frac-times` `associate-r` `associate-l/` `associate-r/`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`+-commutative` `sum-log` `flip3-+` `flip-+` `difference-of-squares`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 144

Calls

4 calls:

28.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
1.3s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
1.5s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
1.5s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series1.7s

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
536.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
541.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
492.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify993.0ms

Counts

156 → 156

Iterations

Iter	Nodes
2	2889
1	696
0	217

prune1.5s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 28.0b

regimes2.2s

Accuracy

20.9% (6.4b remaining)

Error of 32.4b against oracle of 26.0b and baseline of 34.0b

bsearch5.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	33
1	33
0	27

end0.0ms

sample20.9s

Algorithm

intervals

Results

5.2s	2275×	body	5120	valid
4.9s	12832×	body	80	nan
3.3s	1755×	body	2560	valid
2.4s	6755×	body	80	valid
1.7s	902×	body	1280	valid
1.4s	561×	body	10240	exit
525.0ms	476×	body	640	valid
211.0ms	220×	body	320	valid
117.0ms	112×	body	160	valid