Details

analyze2.0s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

sample179.0ms

Algorithm

intervals

Results

39.0ms	65×	body	5120	valid
29.0ms	366×	body	80	nan
24.0ms	48×	body	2560	valid
17.0ms	31×	body	1280	valid
10.0ms	129×	body	80	invalid
7.0ms	11×	body	5120	exit
7.0ms	86×	body	80	valid
5.0ms	15×	body	640	valid
2.0ms	8×	body	320	valid
2.0ms	4×	body	1280	invalid
1.0ms	3×	body	2560	invalid
1.0ms	3×	body	640	invalid
1.0ms	3×	body	160	valid
0.0ms	1×	body	320	invalid
0.0ms	1×	body	160	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5515	42

prune18.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 59.5b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

20.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.6b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
6×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
44.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify62.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4954	2695
1	4954	2695

prune171.0ms

Filtered

54 candidates to 155 candidates (-187.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	148	7	155
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	149	8	157

Merged error: 36.2b

Counts

157 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b	(* (/ c0 (* 2.0 w)) 0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
3×	`pow1` `times-frac` `associate-r`
2×	`cbrt-undiv` `div-exp`
1×	`pow-prod-down` `associate-l/` `-commutative` `mul0-rgt` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

6.0ms

(* (/ c0 (* 2.0 w)) 0)

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

(* (/ c0 (* 2.0 w)) 0)

simplify41.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5176	78

prune70.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	31	8	39

Merged error: 34.1b

Counts

39 → 8

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune32.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	1	1
Total	8	8

Merged error: 34.1b

Counts

8 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

11.8b	(sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))
12.4b	(- (* (/ c0 (* w h)) (* (/ d D) (/ d D))) (sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M))))
14.8b	(/ (* M M) (- (* (/ c0 (* w h)) (* (/ d D) (/ d D))) (sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))))
22.9b	(/ (* (pow d 4) c0) (* (pow D 4) (* w h)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-exp-log`
58×	`prod-exp`
30×	`sqrt-div` `div-exp` `add-cbrt-cube`
28×	`frac-sub`
20×	`frac-times` `associate-*r/`
17×	`flip3--` `flip--`
16×	`associate-/r/`
15×	`pow-to-exp` `pow-exp`
12×	`associate-*l/`
10×	`cbrt-unprod`
8×	`cbrt-undiv` `add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`pow1`
4×	`times-frac` `associate-/r*`
3×	`sqrt-prod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 124

Calls

4 calls:

17.0ms	(sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))
35.0ms	(- (* (/ c0 (* w h)) (* (/ d D) (/ d D))) (sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M))))
34.0ms	(/ (* M M) (- (* (/ c0 (* w h)) (* (/ d D) (/ d D))) (sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))))
10.0ms	(/ (* (pow d 4) c0) (* (pow D 4) (* w h)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))
159.0ms	(- (* (/ c0 (* w h)) (* (/ d D) (/ d D))) (sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M))))
207.0ms	(/ (* M M) (- (* (/ c0 (* w h)) (* (/ d D) (/ d D))) (sqrt (- (* (/ c0 (* w h)) (/ (* (pow d 4) c0) (* (pow D 4) (* w h)))) (* M M)))))
27.0ms	(/ (* (pow d 4) c0) (* (pow D 4) (* w h)))

simplify75.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4984	5755
1	4984	5755

prune330.0ms

Filtered

80 candidates to 136 candidates (-70.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	130	6	136
Fresh	4	1	5
Picked	0	1	1
Done	0	2	2
Total	134	10	144

Merged error: 27.8b

Counts

144 → 10

regimes1.2s

Accuracy

19.8% (6.4b remaining)

Error of 32.3b against oracle of 25.9b and baseline of 33.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	77
1	58	77

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.4s	2298×	body	5120	valid
1.2s	12755×	body	80	nan
825.0ms	1696×	body	2560	valid
360.0ms	564×	body	5120	exit
356.0ms	4290×	body	80	invalid
313.0ms	786×	body	1280	valid
206.0ms	2530×	body	80	valid
125.0ms	401×	body	640	valid
47.0ms	198×	body	320	valid
29.0ms	74×	body	1280	invalid
15.0ms	32×	body	2560	invalid
14.0ms	91×	body	160	valid
11.0ms	37×	body	640	invalid
8.0ms	34×	body	320	invalid
2.0ms	15×	body	160	invalid
1.0ms	2×	body	5120	invalid

Details

analyze2.0s

sample179.0ms

simplify35.0ms

prune18.0ms

localize20.0ms

rewrite93.0ms

series189.0ms

simplify62.0ms

prune171.0ms

localize5.0ms

rewrite7.0ms

series1.0ms

simplify41.0ms

prune70.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune32.0ms

localize28.0ms

rewrite103.0ms

series535.0ms

simplify75.0ms

prune330.0ms

regimes1.2s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample5.9s

Profiling