Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	284×	body	80	valid
8.0ms	307×	body	80	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	14	4
2	14	4

prune2.0ms

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: 22.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

1.0b	(* c0 (sqrt (/ A (* V l))))
6.6b	(/ A (* V l))
16.6b	(sqrt (/ A (* V l)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

8.0ms	(* c0 (sqrt (/ A (* V l))))
7.0ms	(/ A (* V l))
4.0ms	(sqrt (/ A (* V l)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* c0 (sqrt (/ A (* V l))))
19.0ms	(/ A (* V l))
31.0ms	(sqrt (/ A (* V l)))

simplify59.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	209	321
1	813	296
2	3055	293
3	5001	293

prune176.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	59	16	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	16	76

Merged error: 6.7b

Counts

76 → 16

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
1.0b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`cbrt-prod`
11×	`pow1`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`sqrt-div` `associate-*r/`
4×	`add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/`
2×	`sqrt-pow1` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2` `pow1/3`

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt A)
11.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
14.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
10.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt A)
67.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
44.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
50.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify60.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	510	1001
1	2553	846
2	5001	786

prune322.0ms

Filtered

118 candidates to 87 candidates (73.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	5	10	15
Picked	0	1	1
Done	0	0	0
Total	116	18	134

Merged error: 4.3b

Counts

134 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
3.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
56×	`times-frac`
46×	`add-exp-log`
44×	`associate-r`
34×	`add-cube-cbrt` `*-un-lft-identity`
32×	`add-cbrt-cube`
22×	`cbrt-prod`
16×	`prod-exp` `cbrt-unprod`
14×	`pow1` `cbrt-undiv` `div-exp` `associate-l`
12×	`unswap-sqr`
6×	`sqrt-div`
4×	`frac-times` `sqrt-pow1` `associate-r/` `pow-prod-down` `associate-l/` `div-inv` `add-log-exp`
2×	`pow1/2` `sqrt-prod` `*-commutative`

Counts

4 → 146

Calls

4 calls:

17.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
8.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
8.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
47.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
54.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
50.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify54.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	417	1440
1	2048	1264
2	5002	1138

prune577.0ms

Filtered

158 candidates to 118 candidates (74.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	15	16
Picked	0	1	1
Done	0	1	1
Total	158	18	176

Merged error: 4.3b

Counts

176 → 18

localize21.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
12×	`sqrt-div`
8×	`sqrt-pow1`
4×	`add-exp-log` `add-sqr-sqrt` `frac-times` `add-cube-cbrt` `-un-lft-identity` `pow1/2` `associate-r/` `pow-prod-down` `associate-*l/` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

8.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
8.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
8.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
8.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
50.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
55.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
54.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify69.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	55	460
1	117	432
2	261	432
3	781	420
4	1664	420
5	3072	420
6	5001	420

prune268.0ms

Filtered

68 candidates to 56 candidates (82.4%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	15	15
Picked	0	1	1
Done	0	2	2
Total	68	18	86

Merged error: 4.3b

Counts

86 → 18

regimes698.0ms

Accuracy

30.8% (9.5b remaining)

Error of 14.3b against oracle of 4.7b and baseline of 18.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	20
1	31	20

end0.0ms

sample971.0ms

Algorithm

intervals

Results

254.0ms	8870×	body	80	valid
236.0ms	9106×	body	80	nan