Details

sample9.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.417969%

Guaranteed chance to sample good point: 59.643579%

Results

8.0ms	256×	body	80	valid
2.0ms	62×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	37	3
2	67	3
3	79	3
4	79	3

prune3.0ms

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: 11.5b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

11.1b

(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ (* a1 a2) (* b1 b2))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	160	124
1	936	89
2	5001	89

prune45.0ms

Filtered

13 candidates to 24 candidates (-84.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.1b

Counts

25 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

4.7b	(/ (* b1 b2) a2)
5.6b	(/ a1 (/ (* b1 b2) a2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
4×	`associate-/l*`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 69

Calls

2 calls:

4.0ms	(/ (* b1 b2) a2)
5.0ms	(/ a1 (/ (* b1 b2) a2))

series13.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (* b1 b2) a2)
9.0ms	(/ a1 (/ (* b1 b2) a2))

simplify37.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	292	397
1	1409	353
2	5001	350

prune100.0ms

Filtered

55 candidates to 75 candidates (-36.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	72	10	82

Merged error: 0.0b

Counts

82 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

4.9b	(/ a2 (* b1 b2))
5.2b	(* a1 (/ a2 (* b1 b2)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

4.0ms	(/ a2 (* b1 b2))
6.0ms	(* a1 (/ a2 (* b1 b2)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ a2 (* b1 b2))
7.0ms	(* a1 (/ a2 (* b1 b2)))

simplify30.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	193	227
1	941	184
2	5001	184

prune62.0ms

Filtered

35 candidates to 54 candidates (-54.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	55	9	64

Merged error: 0.0b

Counts

64 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

5.2b	(* a1 (/ (/ a2 b1) b2))
5.3b	(/ (/ a2 b1) b2)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
89×	`add-sqr-sqrt`
80×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`associate-l` `prod-exp` `associate-/r*` `cbrt-unprod` `unswap-sqr`
2×	`add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 135

Calls

2 calls:

15.0ms	(* a1 (/ (/ a2 b1) b2))
5.0ms	(/ (/ a2 b1) b2)

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* a1 (/ (/ a2 b1) b2))
5.0ms	(/ (/ a2 b1) b2)

simplify57.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	546	833
1	2545	781
2	5001	781

prune111.0ms

Filtered

114 candidates to 141 candidates (-23.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	140	10	150

Merged error: 0b

Counts

150 → 10

regimes727.0ms

Accuracy

47.3% (5.8b remaining)

Error of 5.8b against oracle of 0.0b and baseline of 10.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	19
1	34	19
2	37	19
3	37	19

end0.0ms

sample10.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.417969%

Guaranteed chance to sample good point: 59.643579%

Results

241.0ms	8000×	body	80	valid
53.0ms	1640×	body	80	invalid

Details

sample9.6s

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series7.0ms

simplify27.0ms

prune45.0ms

localize6.0ms

rewrite11.0ms

series13.0ms

simplify37.0ms

prune100.0ms

localize5.0ms

rewrite11.0ms

series12.0ms

simplify30.0ms

prune62.0ms

localize5.0ms

rewrite26.0ms

series12.0ms

simplify57.0ms

prune111.0ms

regimes727.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample10.8s

Profiling