Details

sample997.0ms

Algorithm

intervals

Results

556.0ms	68×	body	5120	valid
140.0ms	68×	body	2560	valid
103.0ms	441×	body	80	nan
52.0ms	217×	body	80	valid
49.0ms	17×	body	10240	exit
31.0ms	26×	body	1280	valid
6.0ms	7×	body	640	valid
5.0ms	7×	body	320	valid
1.0ms	1×	body	160	valid

simplify868.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	3014
2	286
1	60
0	21

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 55.6b

localize53.0ms

Local error

Found 4 expressions with local error:

15.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
15.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
17.4b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
26.2b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite2.1s

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:

58.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
58.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
437.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
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)))

series1.3s

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
92.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
484.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
597.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify965.0ms

Counts

184 → 184

Iterations

Iter	Nodes
2	2969
1	717
0	235

prune3.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 30.0b

localize17.0ms

Local error

Found 1 expressions with local error:

5.2b	(* (/ c0 w) (/ 0 2))

rewrite27.0ms

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))

series5.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify2.0s

Counts

56 → 56

Iterations

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

prune707.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 27.6b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune93.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 27.6b

localize116.0ms

Local error

Found 4 expressions with local error:

17.4b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
26.2b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
26.2b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
26.2b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite5.2s

Algorithm

rewrite-expression-head

Rules

21×	`fma-def`
20×	`sqrt-div`
18×	`frac-add`
16×	`sqrt-prod`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`flip3--` `flip--` `add-log-exp`
6×	`frac-times` `associate-l/` `associate-r/`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`+-commutative` `sum-log` `flip3-+` `flip-+`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 100

Calls

4 calls:

433.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
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)))
1.6s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
1.6s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series2.3s

Counts

4 → 12

Calls

4 calls:

438.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
631.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
576.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
661.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify2.6s

Counts

112 → 112

Iterations

Iter	Nodes
3	6258
2	1087
1	294
0	107

prune2.4s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 27.6b

regimes1.2s

Accuracy

0% (7.8b remaining)

Error of 33.8b against oracle of 26.0b and baseline of 33.8b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
1	1
0	1

end0.0ms

sample20.1s

Algorithm

intervals

Results

5.6s	2314×	body	5120	valid
3.8s	12816×	body	80	nan
3.7s	1740×	body	2560	valid
2.6s	6762×	body	80	valid
1.2s	839×	body	1280	valid
1.1s	547×	body	10240	exit
579.0ms	476×	body	640	valid
226.0ms	227×	body	320	valid
55.0ms	121×	body	160	valid