Details

analyze1.9s

Algorithm: search

sample205.0ms

Algorithm

intervals

Results

44.0ms	75×	body	5120	valid
39.0ms	495×	body	80	nan
29.0ms	52×	body	2560	valid
18.0ms	28×	body	5120	exit
11.0ms	138×	body	80	invalid
10.0ms	27×	body	1280	valid
6.0ms	74×	body	80	valid
5.0ms	15×	body	640	valid
3.0ms	11×	body	320	valid
0.0ms	1×	body	2560	invalid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	640	invalid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	invalid
0.0ms	1×	body	160	invalid

simplify112.0ms

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

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

localize20.0ms

Local error

Found 4 expressions with local error:

16.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

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:

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)))
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))))

series190.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify128.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (15.0ms)

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

prune131.0ms

Filtered

56 candidates to 155 candidates (-176.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	7	156

Merged error: 34.2b

Counts

156 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b	(* (/ 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 (283.0ms)

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

prune56.0ms

Filtered

19 candidates to 31 candidates (-63.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	31	7	38

Merged error: 33.0b

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

prune26.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	1	1
Total	7	7

Merged error: 33.0b

Counts

7 → 7

localize31.0ms

Local error

Found 4 expressions with local error:

16.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite121.0ms

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))))
37.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
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))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* 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))))

simplify123.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (15.0ms)

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

prune103.0ms

Filtered

56 candidates to 97 candidates (-73.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	95	9	104

Merged error: 33.0b

Counts

104 → 9

regimes1.0s

Accuracy

69.1% (0.7b remaining)

Error of 32.4b against oracle of 31.7b and baseline of 34.0b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	52
1	31	52

end0.0ms

analyze2.1s

Algorithm: search

sample5.6s

Algorithm

intervals

Results

1.3s	2251×	body	5120	valid
1.0s	12694×	body	80	nan
816.0ms	1698×	body	2560	valid
413.0ms	646×	body	5120	exit
355.0ms	4251×	body	80	invalid
345.0ms	863×	body	1280	valid
202.0ms	2486×	body	80	valid
131.0ms	416×	body	640	valid
45.0ms	200×	body	320	valid
28.0ms	70×	body	1280	invalid
21.0ms	44×	body	2560	invalid
15.0ms	86×	body	160	valid
10.0ms	35×	body	640	invalid
7.0ms	31×	body	320	invalid
4.0ms	7×	body	5120	invalid
3.0ms	21×	body	160	invalid

Details

analyze1.9s

sample205.0ms

simplify112.0ms

prune5.0ms

localize20.0ms

rewrite82.0ms

series190.0ms

simplify128.0ms

prune131.0ms

localize5.0ms

rewrite8.0ms

series1.0ms

simplify286.0ms

prune56.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune26.0ms

localize31.0ms

rewrite121.0ms

series319.0ms

simplify123.0ms

prune103.0ms

regimes1.0s

bsearch3.0ms

simplify2.0ms

end0.0ms

analyze2.1s

sample5.6s

Profiling