Details

analyze364.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample98.0ms

Algorithm

intervals

Results

23.0ms	42×	body	1280	valid
15.0ms	40×	body	1280	invalid
10.0ms	43×	body	640	invalid
9.0ms	34×	body	640	valid
9.0ms	141×	body	80	valid
4.0ms	73×	body	80	invalid
4.0ms	23×	body	320	invalid
4.0ms	20×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	7×	body	160	invalid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5009	12

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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)))

simplify25.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5131	485

prune62.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

42 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`pow1` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-*r/`
15×	`add-exp-log` `add-cbrt-cube`
14×	`associate-r`
11×	`add-cube-cbrt`
9×	`flip3-+` `flip-+`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `associate-l` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
12.0ms	(* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))
25.0ms	(* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
17.0ms	(* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))
15.0ms	(* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4957	1452
1	4957	1452

prune180.0ms

Filtered

65 candidates to 102 candidates (-56.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Merged error: 0b

Counts

104 → 2

regimes242.0ms

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	24	12
1	24	12

end0.0ms

sample3.1s

Algorithm

intervals

Results

831.0ms	1550×	body	1280	valid
625.0ms	1395×	body	1280	invalid
354.0ms	1235×	body	640	valid
305.0ms	1287×	body	640	invalid
258.0ms	4234×	body	80	valid
152.0ms	2392×	body	80	invalid
117.0ms	643×	body	320	valid
102.0ms	602×	body	320	invalid
41.0ms	338×	body	160	valid
33.0ms	277×	body	160	invalid

Details

analyze364.0ms

sample98.0ms

simplify69.0ms

prune7.0ms

localize10.0ms

rewrite18.0ms

series19.0ms

simplify25.0ms

prune62.0ms

localize13.0ms

rewrite53.0ms

series45.0ms

simplify53.0ms

prune180.0ms

regimes242.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

Profiling