Details

sample175.0ms

Algorithm

intervals

Results

40.0ms	78×	body	5120	valid
32.0ms	466×	body	80	nan
23.0ms	59×	body	2560	valid
14.0ms	227×	body	80	valid
10.0ms	19×	body	10240	exit
10.0ms	31×	body	1280	valid
3.0ms	13×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	5×	body	160	valid

simplify108.0ms

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

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: 59.4b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.6b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite85.0ms

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)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
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))))

series534.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
250.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify133.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (19.0ms)

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

prune314.0ms

Filtered

155 candidates to 56 candidates (36.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	5	156

Merged error: 32.1b

Counts

156 → 5

localize9.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ 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)

simplify287.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (284.0ms)

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

prune74.0ms

Filtered

31 candidates to 19 candidates (61.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	31	5	36

Merged error: 29.9b

Counts

36 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.5b	(cbrt c0)
0.5b	(cbrt c0)
0.6b	(* (cbrt c0) (cbrt c0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
21×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`add-exp-log`
4×	`unswap-sqr`
3×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 62

Calls

3 calls:

1.0ms	(cbrt c0)
1.0ms	(cbrt c0)
6.0ms	(* (cbrt c0) (cbrt c0))

series576.0ms

Counts

3 → 9

Calls

3 calls:

184.0ms	(cbrt c0)
181.0ms	(cbrt c0)
210.0ms	(* (cbrt c0) (cbrt c0))

simplify91.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	115	249
1	479	225
2	2963	205
3	5002	202

prune197.0ms

Filtered

71 candidates to 52 candidates (73.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	71	5	76

Merged error: 29.9b

Counts

76 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* (* w h) (* D D)) (* c0 (* d d)))
30.9b	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

19.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
14.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
39.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series735.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
103.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
437.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify48.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	791	2257
1	5001	1583

prune292.0ms

Filtered

156 candidates to 57 candidates (36.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	155	6	161

Merged error: 29.6b

Counts

161 → 6

regimes398.0ms

Accuracy

0% (2.7b remaining)

Error of 34.1b against oracle of 31.3b and baseline of 34.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.1s	2209×	body	5120	valid
850.0ms	13353×	body	80	nan
726.0ms	1791×	body	2560	valid
451.0ms	6919×	body	80	valid
313.0ms	587×	body	10240	exit
303.0ms	919×	body	1280	valid
118.0ms	464×	body	640	valid
42.0ms	222×	body	320	valid
14.0ms	115×	body	160	valid