Details

sample426.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 17.235613%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

6.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	2
1	14	2
2	14	2

prune9.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 d3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

5.0ms

(* d1 (+ d2 d3))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* d1 (+ d2 d3))

simplify48.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	126	86
1	533	76
2	2146	76
3	5002	76

prune25.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* d1 d2) (* d1 d3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

3.0ms

(+ (* d1 d2) (* d1 d3))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (* d1 d2) (* d1 d3))

simplify132.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	98	73
1	367	62
2	1324	60
3	3943	60
4	5001	60

prune16.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ d2 d3)) (cbrt (+ d2 d3)))
0.6b	(cbrt (+ d2 d3))
0.6b	(cbrt (+ d2 d3))
0.6b	(cbrt (+ d2 d3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

9.0ms	(* (cbrt (+ d2 d3)) (cbrt (+ d2 d3)))
3.0ms	(cbrt (+ d2 d3))
3.0ms	(cbrt (+ d2 d3))
3.0ms	(cbrt (+ d2 d3))

series130.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (cbrt (+ d2 d3)) (cbrt (+ d2 d3)))
29.0ms	(cbrt (+ d2 d3))
29.0ms	(cbrt (+ d2 d3))
32.0ms	(cbrt (+ d2 d3))

simplify116.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	285	746
1	850	709
2	3884	634
3	5001	621

prune101.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	4	110

Merged error: 0b

Counts

110 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ d2 d3)))
0.3b	(cbrt (sqrt (+ d2 d3)))
0.3b	(cbrt (sqrt (+ d2 d3)))
0.6b	(cbrt (+ d2 d3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
19×	`*-un-lft-identity`
12×	`sqrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
6×	`sqrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 65

Calls

4 calls:

3.0ms	(cbrt (sqrt (+ d2 d3)))
3.0ms	(cbrt (sqrt (+ d2 d3)))
3.0ms	(cbrt (sqrt (+ d2 d3)))
3.0ms	(cbrt (+ d2 d3))

series97.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (sqrt (+ d2 d3)))
21.0ms	(cbrt (sqrt (+ d2 d3)))
24.0ms	(cbrt (sqrt (+ d2 d3)))
30.0ms	(cbrt (+ d2 d3))

simplify76.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	269	576
1	680	547
2	2637	500
3	5002	481

prune83.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	77	4	81

Merged error: 0b

Counts

81 → 4

regimes182.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample771.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 17.235613%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

194.0ms	8000×	body	80	valid
12.0ms	371×	body	80	invalid

Details

sample426.0ms

simplify4.0ms

prune9.0ms

localize4.0ms

rewrite6.0ms

series6.0ms

simplify48.0ms

prune25.0ms

localize5.0ms

rewrite4.0ms

series7.0ms

simplify132.0ms

prune16.0ms

localize7.0ms

rewrite20.0ms

series130.0ms

simplify116.0ms

prune101.0ms

localize11.0ms

rewrite14.0ms

series97.0ms

simplify76.0ms

prune83.0ms

regimes182.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample771.0ms

Profiling