Details

sample428.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 6.243969%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

11.0ms	31×	body	1280	valid
8.0ms	181×	body	80	valid
6.0ms	22×	body	1280	invalid
4.0ms	21×	body	640	valid
3.0ms	18×	body	640	invalid
2.0ms	12×	body	320	valid
1.0ms	30×	body	80	invalid
1.0ms	11×	body	160	valid
1.0ms	7×	body	320	invalid
1.0ms	7×	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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (exp re) (sin im))

simplify162.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

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

prune26.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp re) (sqrt (sin im)))
0.0b	(sqrt (sin im))
0.0b	(sqrt (sin im))
0.2b	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`add-exp-log`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

6.0ms	(* (exp re) (sqrt (sin im)))
1.0ms	(sqrt (sin im))
1.0ms	(sqrt (sin im))
8.0ms	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (exp re) (sqrt (sin im)))
3.0ms	(sqrt (sin im))
4.0ms	(sqrt (sin im))
8.0ms	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

simplify89.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	220	438
1	913	382
2	3671	369
3	5002	369

prune61.0ms

Filtered

50 candidates to 81 candidates (-62.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	80	4	84

Merged error: 0.0b

Counts

84 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (exp re))
0.1b	(pow (exp (exp re)) (sin im))
2.2b	(log (pow (exp (exp re)) (sin im)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-prod`
6×	`unpow-prod-down` `exp-prod`
4×	`pow1` `add-exp-log` `pow-pow` `add-log-exp`
3×	`pow-unpow` `rem-log-exp` `add-cbrt-cube`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`log-pow` `rem-exp-log`

Counts

3 → 49

Calls

3 calls:

2.0ms	(exp (exp re))
4.0ms	(pow (exp (exp re)) (sin im))
3.0ms	(log (pow (exp (exp re)) (sin im)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(exp (exp re))
15.0ms	(pow (exp (exp re)) (sin im))
21.0ms	(log (pow (exp (exp re)) (sin im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	151	319
1	489	284
2	1778	277
3	5002	271

prune52.0ms

Filtered

36 candidates to 58 candidates (-61.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(log (sin im))
1.3b	(exp (+ (log (sin im)) re))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
5×	`exp-prod`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`add-exp-log` `log-prod`
2×	`log-pow` `add-cbrt-cube` `rem-exp-log` `distribute-lft-out`
1×	`rem-log-exp` `exp-sum` `sum-log`

Counts

2 → 27

Calls

2 calls:

1.0ms	(log (sin im))
4.0ms	(exp (+ (log (sin im)) re))

series20.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(log (sin im))
9.0ms	(exp (+ (log (sin im)) re))

simplify34.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	98	148
1	270	124
2	961	119
3	5002	116

prune30.0ms

Filtered

21 candidates to 33 candidates (-57.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

regimes204.0ms

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

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 6.243969%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

366.0ms	999×	body	1280	valid
249.0ms	5513×	body	80	valid
175.0ms	845×	body	640	valid
139.0ms	499×	body	1280	invalid
77.0ms	420×	body	640	invalid
57.0ms	429×	body	320	valid
32.0ms	720×	body	80	invalid
30.0ms	225×	body	320	invalid
20.0ms	214×	body	160	valid
9.0ms	97×	body	160	invalid

Details

sample428.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite5.0ms

series9.0ms

simplify162.0ms

prune26.0ms

localize8.0ms

rewrite19.0ms

series25.0ms

simplify89.0ms

prune61.0ms

localize11.0ms

rewrite9.0ms

series41.0ms

simplify58.0ms

prune52.0ms

localize7.0ms

rewrite7.0ms

series20.0ms

simplify34.0ms

prune30.0ms

regimes204.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

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