Details

sample587.0ms

Algorithm

intervals

Results

160.0ms	59×	body	5120	valid
101.0ms	413×	body	80	nan
77.0ms	51×	body	2560	valid
69.0ms	24×	body	10240	exit
61.0ms	240×	body	80	valid
47.0ms	34×	body	1280	valid
16.0ms	16×	body	640	valid
2.0ms	4×	body	320	valid
1.0ms	1×	body	160	valid

simplify940.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2006
3	2006
2	280
1	59
0	21

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 48.1b

localize73.0ms

Local error

Found 4 expressions with local error:

17.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
17.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
17.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
23.5b	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-cbrt-cube` `add-exp-log`
72×	`cbrt-undiv` `div-exp`
61×	`add-sqr-sqrt`
60×	`prod-exp` `cbrt-unprod`
48×	`times-frac`
39×	`associate-l`
31×	`*-un-lft-identity` `add-cube-cbrt`
24×	`sqrt-div` `frac-add`
23×	`frac-times`
21×	`associate-r`
17×	`associate-l/` `associate-r/`
12×	`unswap-sqr`
10×	`pow1` `flip3-+` `flip-+`
9×	`flip3--` `flip--`
6×	`div-inv` `add-log-exp`
4×	`insert-posit16`
3×	`pow-prod-down` `*-commutative`
1×	`+-commutative` `sum-log`

Counts

4 → 219

Calls

4 calls:

54.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
29.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
33.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
50.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series1.2s

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
102.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
112.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
920.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify1.6s

Counts

231 → 231

Iterations

Iter	Nodes
done	2008
2	2008
1	915
0	316

prune1.6s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 45.0b

localize100.0ms

Local error

Found 4 expressions with local error:

17.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
23.5b	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
23.5b	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
23.5b	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-div` `frac-add`
61×	`frac-times`
60×	`add-cbrt-cube` `add-exp-log`
43×	`associate-l/` `associate-r/`
30×	`flip3-+` `flip-+`
27×	`flip3--` `flip--`
24×	`cbrt-undiv` `div-exp`
23×	`add-sqr-sqrt`
20×	`prod-exp` `cbrt-unprod`
16×	`times-frac`
13×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
10×	`add-log-exp`
7×	`associate-r`
6×	`pow1`
4×	`insert-posit16` `unswap-sqr`
3×	`+-commutative` `sum-log`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 169

Calls

4 calls:

54.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
64.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
50.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
38.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series3.1s

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
991.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
931.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
1.0s	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify1.6s

Counts

181 → 181

Iterations

Iter	Nodes
done	2008
2	2008
1	915
0	316

prune2.4s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 45.0b

localize134.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div` `frac-add`
80×	`frac-times`
56×	`associate-l/` `associate-r/`
40×	`flip3-+` `flip-+`
36×	`flip3--` `flip--`
12×	`add-log-exp`
4×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`

Counts

4 → 144

Calls

4 calls:

54.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
43.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
54.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
56.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series4.4s

Counts

4 → 12

Calls

4 calls:

1.4s	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
1.0s	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
1.0s	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
934.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify2.1s

Counts

156 → 156

Iterations

Iter	Nodes
done	2005
3	2005
2	1743
1	508
0	192

prune2.7s

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 45.0b

localize177.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div` `frac-add`
80×	`frac-times`
56×	`associate-l/` `associate-r/`
40×	`flip3-+` `flip-+`
36×	`flip3--` `flip--`
12×	`add-log-exp`
4×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`

Counts

4 → 144

Calls

4 calls:

71.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
68.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
74.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
72.0ms	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series4.6s

Counts

4 → 12

Calls

4 calls:

1.2s	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
1.1s	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
1.2s	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
1.1s	(+ (sqrt (* (+ M (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (- (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify2.2s

Counts

156 → 156

Iterations

Iter	Nodes
done	2005
3	2005
2	1743
1	508
0	192

prune3.0s

Pruning

16 alts after pruning (12 fresh and 4 done)

Merged error: 45.0b

regimes2.8s

Accuracy

17.9% (3.1b remaining)

Error of 52.0b against oracle of 48.9b and baseline of 52.7b

bsearch10.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	59
1	59
0	45

end0.0ms

sample22.4s

Algorithm

intervals

Results

5.6s	2234×	body	5120	valid
5.3s	12925×	body	80	nan
4.6s	1738×	body	2560	valid
2.1s	6725×	body	80	valid
1.6s	978×	body	1280	valid
1.2s	560×	body	10240	exit
511.0ms	425×	body	640	valid
207.0ms	229×	body	320	valid
84.0ms	106×	body	160	valid