Details

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results

29.0ms	52×	body	1280	valid
19.0ms	57×	body	1280	invalid
11.0ms	39×	body	640	valid
9.0ms	39×	body	640	invalid
8.0ms	127×	body	80	valid
5.0ms	30×	body	320	valid
5.0ms	75×	body	80	invalid
4.0ms	21×	body	320	invalid
1.0ms	10×	body	160	invalid
1.0ms	8×	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

prune7.0ms

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)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (31.0ms)

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

prune59.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

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)))

rewrite28.0ms

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:

12.0ms	(+ (* (* 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)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(* (* 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 (48.0ms)

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

prune72.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.4b	(log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
1.6b	(exp (log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
10.0ms	(log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
11.0ms	(exp (log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
16.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
22.0ms	(log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
14.0ms	(exp (log (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	329	710
1	1446	624
2	5001	621

prune117.0ms

Filtered

53 candidates to 80 candidates (-50.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Merged error: 0b

Counts

82 → 2

regimes221.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample6.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results

781.0ms	1484×	body	1280	valid
503.0ms	1464×	body	1280	invalid
370.0ms	1274×	body	640	valid
303.0ms	1239×	body	640	invalid
259.0ms	4285×	body	80	valid
141.0ms	2278×	body	80	invalid
113.0ms	612×	body	320	valid
96.0ms	577×	body	320	invalid
41.0ms	345×	body	160	valid
35.0ms	297×	body	160	invalid

Details

sample3.9s

simplify104.0ms

prune7.0ms

localize10.0ms

rewrite18.0ms

series19.0ms

simplify36.0ms

prune59.0ms

localize11.0ms

rewrite28.0ms

series37.0ms

simplify53.0ms

prune72.0ms

localize15.0ms

rewrite41.0ms

series56.0ms

simplify44.0ms

prune117.0ms

regimes221.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.8s

Profiling