Details

sample193.0ms

Algorithm

intervals

Results

48.0ms	75×	body	5120	valid
34.0ms	417×	body	80	nan
30.0ms	60×	body	2560	valid
16.0ms	192×	body	80	valid
11.0ms	17×	body	5120	exit
8.0ms	21×	body	1280	valid
3.0ms	9×	body	640	valid
2.0ms	7×	body	320	valid
1.0ms	4×	body	160	valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 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: 59.6b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite82.0ms

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:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
90.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
247.0ms	(+ (/ (* 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

prune295.0ms

Filtered

155 candidates to 56 candidates (36.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	6	156

Merged error: 33.6b

Counts

156 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ c0 (* 2.0 w))
7.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

7.0ms	(/ c0 (* 2.0 w))
12.0ms	(* (/ c0 (* 2.0 w)) 0)

series19.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ c0 (* 2.0 w))
2.0ms	(* (/ c0 (* 2.0 w)) 0)

simplify288.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (283.0ms)

Iter	Nodes	Cost
0	199	118
1	1895	87
2	5001	77

prune93.0ms

Filtered

55 candidates to 36 candidates (65.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	55	6	61

Merged error: 30.5b

Counts

61 → 6

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

prune17.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 30.5b

Counts

6 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite123.0ms

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:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
34.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
39.0ms	(+ (/ (* 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))))

series809.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
238.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
234.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
243.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify126.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (16.0ms)

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

prune329.0ms

Filtered

97 candidates to 56 candidates (57.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 30.5b

Counts

103 → 6

regimes344.0ms

Accuracy

0% (2.5b remaining)

Error of 33.6b against oracle of 31.1b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.3s	2283×	body	5120	valid
992.0ms	12978×	body	80	nan
822.0ms	1792×	body	2560	valid
520.0ms	6662×	body	80	valid
366.0ms	588×	body	5120	exit
346.0ms	888×	body	1280	valid
125.0ms	428×	body	640	valid
48.0ms	220×	body	320	valid
17.0ms	113×	body	160	valid

Details

sample193.0ms

simplify109.0ms

prune4.0ms

localize22.0ms

rewrite82.0ms

series520.0ms

simplify129.0ms

prune295.0ms

localize5.0ms

rewrite22.0ms

series19.0ms

simplify288.0ms

prune93.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune17.0ms

localize31.0ms

rewrite123.0ms

series809.0ms

simplify126.0ms

prune329.0ms

regimes344.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.5s

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