Details

sample445.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 6.152344%

Guaranteed chance to sample good point: 86.576483%

Results

8.0ms	24×	body	1280	valid
8.0ms	183×	body	80	valid
6.0ms	31×	body	640	valid
4.0ms	17×	body	1280	invalid
3.0ms	17×	body	640	invalid
2.0ms	13×	body	320	valid
1.0ms	26×	body	80	invalid
1.0ms	7×	body	320	invalid
0.0ms	5×	body	160	valid
0.0ms	4×	body	160	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin im))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (exp re) (sin im))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(* (exp re) (sin im))

simplify165.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune19.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0.0b

Counts

22 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
3.0ms	(cbrt (* (exp re) (sin im)))
3.0ms	(cbrt (* (exp re) (sin im)))
4.0ms	(cbrt (* (exp re) (sin im)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
17.0ms	(cbrt (* (exp re) (sin im)))
19.0ms	(cbrt (* (exp re) (sin im)))
17.0ms	(cbrt (* (exp re) (sin im)))

simplify107.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	164	542
1	594	438
2	3442	376
3	5001	366

prune59.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0b

Counts

72 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* (exp re) (sin im)))
0.5b	(cbrt (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))))
0.5b	(cbrt (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))))
0.5b	(cbrt (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cbrt (* (exp re) (sin im)))
6.0ms	(cbrt (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))))
4.0ms	(cbrt (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))))
4.0ms	(cbrt (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt (* (exp re) (sin im)))
26.0ms	(cbrt (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))))
26.0ms	(cbrt (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))))
26.0ms	(cbrt (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	125	555
1	326	456
2	1061	399
3	5001	387

prune74.0ms

Filtered

43 candidates to 48 candidates (-11.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	48	3	51

Merged error: 0b

Counts

51 → 3

regimes181.0ms

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	6	3
1	6	3

end0.0ms

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 6.152344%

Guaranteed chance to sample good point: 86.576483%

Results

357.0ms	998×	body	1280	valid
247.0ms	5563×	body	80	valid
163.0ms	817×	body	640	valid
132.0ms	505×	body	1280	invalid
73.0ms	415×	body	640	invalid
51.0ms	407×	body	320	valid
32.0ms	745×	body	80	invalid
24.0ms	200×	body	320	invalid
22.0ms	215×	body	160	valid
8.0ms	92×	body	160	invalid

Details

sample445.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite5.0ms

series11.0ms

simplify165.0ms

prune19.0ms

localize9.0ms

rewrite17.0ms

series80.0ms

simplify107.0ms

prune59.0ms

localize14.0ms

rewrite18.0ms

series97.0ms

simplify56.0ms

prune74.0ms

regimes181.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling