Details

sample642.0ms

Algorithm

intervals

Results

192.0ms	80×	body	5120	valid
116.0ms	60×	body	2560	valid
96.0ms	395×	body	80	nan
51.0ms	205×	body	80	valid
45.0ms	19×	body	640	valid
45.0ms	22×	body	10240	exit
31.0ms	24×	body	1280	valid
7.0ms	9×	body	320	valid
2.0ms	4×	body	160	valid

simplify773.0ms

Counts

1 → 1

Iterations

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 54.1b

localize54.0ms

Local error

Found 4 expressions with local error:

13.0b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
13.0b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
13.6b	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
29.3b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

rewrite1.8s

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` `sqrt-prod` `unswap-sqr`
7×	`fma-def`
6×	`frac-add` `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` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 172

Calls

4 calls:

44.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
41.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
332.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
1.4s	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

series1.2s

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
111.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
451.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
532.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))

simplify1.2s

Counts

184 → 184

Iterations

Iter	Nodes
done	2001
2	2001
1	719
0	236

prune3.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 24.9b

localize9.0ms

Local error

Found 1 expressions with local error:

4.2b	(* (/ c0 w) (/ 0 2))

rewrite14.0ms

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:

13.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify2.3s

Counts

56 → 56

Iterations

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

prune692.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 23.8b

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

prune147.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 23.8b

localize67.0ms

Local error

Found 4 expressions with local error:

6.9b	(/ (* (/ d D) (/ d D)) w)
13.0b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
13.0b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
13.0b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

190×	`add-cbrt-cube` `add-exp-log`
81×	`cbrt-undiv` `div-exp`
64×	`prod-exp` `cbrt-unprod`
63×	`add-sqr-sqrt`
51×	`times-frac`
39×	`associate-l`
33×	`*-un-lft-identity` `add-cube-cbrt`
21×	`associate-r`
12×	`unswap-sqr`
10×	`pow1`
7×	`div-inv`
4×	`expm1-log1p-u` `frac-times` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `-commutative` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 222

Calls

4 calls:

28.0ms	(/ (* (/ d D) (/ d D)) w)
28.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
56.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
56.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

series392.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* (/ d D) (/ d D)) w)
115.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
112.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
120.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

simplify1.4s

Counts

234 → 234

Iterations

Iter	Nodes
done	2000
2	2000
1	538
0	167

prune4.2s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 23.8b

regimes2.3s

Accuracy

20.1% (6.1b remaining)

Error of 32.3b against oracle of 26.2b and baseline of 33.8b

bsearch5.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample20.3s

Algorithm

intervals

Results

5.4s	2243×	body	5120	valid
3.9s	1724×	body	2560	valid
3.4s	13034×	body	80	nan
2.4s	6690×	body	80	valid
1.7s	627×	body	10240	exit
1.5s	994×	body	1280	valid
517.0ms	451×	body	640	valid
208.0ms	227×	body	320	valid
45.0ms	99×	body	160	valid