Details

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results

26.0ms	49×	body	1280	valid
14.0ms	40×	body	1280	invalid
12.0ms	42×	body	640	valid
9.0ms	139×	body	80	valid
7.0ms	69×	body	80	invalid
6.0ms	26×	body	640	invalid
4.0ms	19×	body	320	invalid
3.0ms	17×	body	320	valid
2.0ms	15×	body	160	invalid
1.0ms	9×	body	160	valid

simplify107.0ms

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)))

rewrite19.0ms

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:

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

series21.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
17.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

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

prune60.0ms

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

rewrite30.0ms

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:

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

series42.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
11.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
10.0ms	(* (* 0.5 (sin re)) (exp im))

simplify55.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (49.0ms)

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

prune75.0ms

Filtered

40 candidates to 60 candidates (-50.0%)

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

localize13.0ms

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)))
0.3b	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
20.8b	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`*-un-lft-identity`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `unpow3` `cube-prod` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `associate-l` `sum-log` `*-commutative` `rem-cbrt-cube`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
12.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
4.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

series68.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
18.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
30.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
16.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	410	821
1	2039	785
2	5001	784

prune132.0ms

Filtered

63 candidates to 93 candidates (-47.6%)

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

regimes357.0ms

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

sample4.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results

832.0ms	1525×	body	1280	valid
522.0ms	1438×	body	1280	invalid
390.0ms	1305×	body	640	valid
312.0ms	1254×	body	640	invalid
286.0ms	4264×	body	80	valid
154.0ms	2315×	body	80	invalid
119.0ms	603×	body	320	valid
114.0ms	626×	body	320	invalid
41.0ms	308×	body	160	invalid
39.0ms	303×	body	160	valid

Details

sample1.4s

simplify107.0ms

prune4.0ms

localize10.0ms

rewrite19.0ms

series21.0ms

simplify37.0ms

prune60.0ms

localize11.0ms

rewrite30.0ms

series42.0ms

simplify55.0ms

prune75.0ms

localize13.0ms

rewrite36.0ms

series68.0ms

simplify65.0ms

prune132.0ms

regimes357.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Profiling