Details

sample219.0ms

Algorithm

intervals

Results

44.0ms	71×	body	5120	valid
39.0ms	478×	body	80	nan
30.0ms	65×	body	2560	valid
18.0ms	227×	body	80	valid
12.0ms	31×	body	1280	valid
10.0ms	16×	body	5120	exit
4.0ms	15×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	5×	body	160	valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	59	26
1	298	26
2	3398	26
3	5002	26

prune5.0ms

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: 59.6b

Counts

2 → 1

localize22.0ms

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)))
28.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite79.0ms

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)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
100.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify129.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	579	2159
1	3786	1523
2	5001	1523

prune139.0ms

Filtered

56 candidates to 155 candidates (-176.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	148	7	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	7	156

Merged error: 33.7b

Counts

156 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite8.0ms

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×	`mul0` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

7.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify286.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	176	32
1	1859	16
2	5001	6

prune60.0ms

Filtered

19 candidates to 31 candidates (-63.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	31	7	38

Merged error: 31.8b

Counts

38 → 7

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

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Merged error: 31.8b

Counts

7 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
33.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
33.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
33.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series317.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
95.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
97.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify122.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	579	2389
1	3786	2041
2	5001	2041

prune102.0ms

Filtered

56 candidates to 97 candidates (-73.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Merged error: 31.8b

Counts

104 → 7

regimes827.0ms

Accuracy

0% (2.0b remaining)

Error of 34.0b against oracle of 32.0b and baseline of 34.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample6.1s

Algorithm

intervals

Results

1.3s	2268×	body	5120	valid
1.0s	13128×	body	80	nan
784.0ms	1670×	body	2560	valid
533.0ms	6849×	body	80	valid
359.0ms	947×	body	1280	valid
358.0ms	572×	body	5120	exit
129.0ms	424×	body	640	valid
50.0ms	223×	body	320	valid
15.0ms	99×	body	160	valid

Details

sample219.0ms

simplify110.0ms

prune5.0ms

localize22.0ms

rewrite79.0ms

series192.0ms

simplify129.0ms

prune139.0ms

localize5.0ms

rewrite8.0ms

series1.0ms

simplify286.0ms

prune60.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune31.0ms

localize29.0ms

rewrite120.0ms

series317.0ms

simplify122.0ms

prune102.0ms

regimes827.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.1s

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