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

sample189.0ms

Algorithm

intervals

Results

38.0ms	65×	body	5120	valid
33.0ms	417×	body	80	nan
24.0ms	51×	body	2560	valid
16.0ms	147×	body	80	invalid
12.0ms	19×	body	5120	exit
11.0ms	29×	body	1280	valid
7.0ms	89×	body	80	valid
4.0ms	6×	body	2560	invalid
4.0ms	12×	body	640	valid
2.0ms	7×	body	320	valid
1.0ms	2×	body	1280	invalid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	invalid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5515	42

prune17.0ms

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: 58.7b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.1b	(+ (/ (* 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)))
47.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms	(/ (* 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))))

simplify63.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4954	2695
1	4954	2695

prune153.0ms

Filtered

54 candidates to 155 candidates (-187.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	149	8	157

Merged error: 34.2b

Counts

157 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ 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)

simplify40.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5176	78

prune66.0ms

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: 32.3b

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

prune31.0ms

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: 32.3b

Counts

8 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

18.4b	(/ (* c0 (* d (neg d))) (* w (* h (* D (neg D)))))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.5b	(+ (/ (* c0 (* d (neg d))) (* w (* h (* D (neg D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

196×	`add-exp-log` `add-cbrt-cube`
108×	`prod-exp` `cbrt-unprod`
42×	`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` `distribute-rgt-neg-out`
1×	`+-commutative` `flip3--` `flip3-+` `distribute-frac-neg` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 138

Calls

4 calls:

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

series190.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* c0 (* d (neg d))) (* w (* h (* D (neg D)))))
30.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
98.0ms	(+ (/ (* c0 (* d (neg d))) (* w (* h (* D (neg D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify52.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5002	2826

prune102.0ms

Filtered

55 candidates to 150 candidates (-172.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	150	8	158

Merged error: 32.3b

Counts

158 → 8

regimes944.0ms

Accuracy

48.8% (1.5b remaining)

Error of 32.6b against oracle of 31.0b and baseline of 34.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	108
1	48	108

end0.0ms

sample5.7s

Algorithm

intervals

Results

1.4s	2283×	body	5120	valid
1.0s	12867×	body	80	nan
806.0ms	1668×	body	2560	valid
392.0ms	604×	body	5120	exit
358.0ms	4336×	body	80	invalid
343.0ms	859×	body	1280	valid
204.0ms	2474×	body	80	valid
133.0ms	423×	body	640	valid
42.0ms	179×	body	320	valid
23.0ms	60×	body	1280	invalid
21.0ms	38×	body	2560	invalid
18.0ms	114×	body	160	valid
16.0ms	53×	body	640	invalid
6.0ms	27×	body	320	invalid
3.0ms	18×	body	160	invalid
1.0ms	2×	body	5120	invalid

Details

analyze2.0s

sample189.0ms

simplify39.0ms

prune17.0ms

localize20.0ms

rewrite93.0ms

series186.0ms

simplify63.0ms

prune153.0ms

localize5.0ms

rewrite7.0ms

series1.0ms

simplify40.0ms

prune66.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune31.0ms

localize28.0ms

rewrite90.0ms

series190.0ms

simplify52.0ms

prune102.0ms

regimes944.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample5.7s

Profiling