Details

sample28.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.808594%

Guaranteed chance to sample good point: 0%

Results

45.0ms	73×	body	5120	valid
30.0ms	366×	body	80	nan
26.0ms	53×	body	2560	valid
17.0ms	26×	body	5120	exit
12.0ms	137×	body	80	invalid
10.0ms	88×	body	80	valid
9.0ms	23×	body	1280	valid
4.0ms	14×	body	640	valid
2.0ms	2×	body	640	invalid
1.0ms	2×	body	2560	invalid
1.0ms	2×	body	1280	invalid
0.0ms	2×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	invalid

simplify104.0ms

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: 58.2b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite78.0ms

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:

16.0ms	(/ (* 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)))
30.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
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))))

simplify124.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (16.0ms)

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

prune155.0ms

Filtered

56 candidates to 155 candidates (-176.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	146	9	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	9	156

Merged error: 33.4b

Counts

156 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b	(* (/ 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×	`mul0` `pow-prod-down` `associate-l/` `-commutative` `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)

simplify284.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (280.0ms)

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

prune72.0ms

Filtered

19 candidates to 31 candidates (-63.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	31	9	40

Merged error: 31.6b

Counts

40 → 9

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

prune42.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	0	0
Total	9	9

Merged error: 31.6b

Counts

9 → 9

localize30.0ms

Local error

Found 4 expressions with local error:

16.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
25.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
25.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite114.0ms

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:

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))))
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))))
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))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
93.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
92.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify124.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (15.0ms)

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

prune104.0ms

Filtered

56 candidates to 97 candidates (-73.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	97	9	106

Merged error: 31.6b

Counts

106 → 9

regimes942.0ms

Accuracy

0% (2.1b remaining)

Error of 33.5b against oracle of 31.3b and baseline of 33.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample36.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.808594%

Guaranteed chance to sample good point: 0%

Results

1.4s	2253×	body	5120	valid
1.3s	1717×	body	2560	valid
1.1s	12109×	body	80	nan
424.0ms	599×	body	5120	exit
374.0ms	4177×	body	80	invalid
363.0ms	867×	body	1280	valid
215.0ms	2449×	body	80	valid
141.0ms	404×	body	640	valid
56.0ms	226×	body	320	valid
22.0ms	42×	body	2560	invalid
19.0ms	46×	body	1280	invalid
14.0ms	84×	body	160	valid
13.0ms	38×	body	640	invalid
6.0ms	23×	body	320	invalid
2.0ms	12×	body	160	invalid
1.0ms	2×	body	5120	invalid

Details

sample28.9s

simplify104.0ms

prune5.0ms

localize22.0ms

rewrite78.0ms

series185.0ms

simplify124.0ms

prune155.0ms

localize5.0ms

rewrite7.0ms

series1.0ms

simplify284.0ms

prune72.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune42.0ms

localize30.0ms

rewrite114.0ms

series308.0ms

simplify124.0ms

prune104.0ms

regimes942.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample36.3s

Profiling