Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 12.195185%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

28.0ms	46×	body	1280	valid
16.0ms	45×	body	1280	invalid
13.0ms	44×	body	640	valid
9.0ms	37×	body	640	invalid
8.0ms	134×	body	80	valid
4.0ms	69×	body	80	invalid
4.0ms	21×	body	320	valid
4.0ms	20×	body	320	invalid
1.0ms	11×	body	160	invalid
1.0ms	11×	body	160	valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1599	7
8	3585	7
9	4712	7
10	5001	7

prune4.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	265	349
1	1200	295
2	5001	294

prune57.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp im))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

10.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))
9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
8.0ms	(* (* 0.5 (sin re)) (exp im))
9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	327	481
1	1562	398
2	5001	393

prune72.0ms

Filtered

41 candidates to 60 candidates (-46.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(+ (exp (- 0.0 im)) (exp im))
0.4b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.4b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity`
14×	`sqrt-div` `associate-r`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
4×	`frac-times` `distribute-lft-out`
2×	`+-commutative` `associate-l` `associate-l/` `sum-log` `-commutative`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
6.0ms	(+ (exp (- 0.0 im)) (exp im))
21.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
12.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
3.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
20.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	407	1087
1	1825	905
2	5001	894

prune146.0ms

Filtered

59 candidates to 93 candidates (-57.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes283.0ms

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	16	10
1	16	10

end0.0ms

sample4.3s

Algorithm

intervals

sampling

Space saved by range analysis: 12.195185%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

999.0ms	1571×	body	1280	valid
532.0ms	1483×	body	1280	invalid
355.0ms	1170×	body	640	valid
282.0ms	1151×	body	640	invalid
273.0ms	4323×	body	80	valid
150.0ms	2293×	body	80	invalid
116.0ms	619×	body	320	valid
106.0ms	578×	body	320	invalid
42.0ms	316×	body	160	invalid
40.0ms	317×	body	160	valid

Details

sample1.2s

simplify104.0ms

prune4.0ms

localize10.0ms

rewrite18.0ms

series18.0ms

simplify39.0ms

prune57.0ms

localize11.0ms

rewrite26.0ms

series36.0ms

simplify53.0ms

prune72.0ms

localize12.0ms

rewrite49.0ms

series40.0ms

simplify52.0ms

prune146.0ms

regimes283.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.3s

Profiling