Details

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 65.979381%

Results

22.0ms	45×	body	1280	valid
17.0ms	56×	body	1280	invalid
8.0ms	31×	body	640	valid
8.0ms	151×	body	80	valid
8.0ms	36×	body	640	invalid
5.0ms	33×	body	320	invalid
4.0ms	22×	body	320	valid
2.0ms	17×	body	160	invalid
1.0ms	7×	body	160	valid
1.0ms	11×	body	80	invalid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	596	7
6	1198	7
7	1931	7
8	5001	7

prune6.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (neg im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite15.0ms

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:

5.0ms	(+ (exp (neg im)) (exp im))
9.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (exp (neg im)) (exp im))
14.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	248	347
1	1228	286
2	5001	284

prune51.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
0.0b	(* (* 0.5 (cos re)) (exp im))
0.1b	(/ (* 0.5 (cos re)) (exp im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 51

Calls

3 calls:

7.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(* (* 0.5 (cos re)) (exp im))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series38.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
8.0ms	(* (* 0.5 (cos re)) (exp im))
10.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5002	384

prune64.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 (exp im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))
0.0b	(/ 1 (exp im))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`pow1` `add-exp-log` `times-frac`
5×	`associate-r` `add-log-exp`
4×	`pow-flip` `distribute-lft-out`
3×	`exp-prod` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `div-inv` `associate-/l`
2×	`flip3-+` `associate-*r/` `div-exp` `flip-+`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `rec-exp` `frac-2neg` `distribute-lft-in` `1-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `inv-pow`

Counts

3 → 71

Calls

3 calls:

7.0ms	(+ (/ 1 (exp im)) (exp im))
11.0ms	(* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))
4.0ms	(/ 1 (exp im))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (/ 1 (exp im)) (exp im))
16.0ms	(* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))
3.0ms	(/ 1 (exp im))

simplify53.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	311	486
1	1667	403
2	5001	403

prune63.0ms

Filtered

44 candidates to 80 candidates (-81.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	80	3	83

Merged error: 0b

Counts

83 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp (neg im)) (exp im)))
0.0b	(sqrt (+ (exp (neg im)) (exp im)))
0.2b	(* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im))))
0.7b	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (+ (exp (neg im)) (exp im))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(sqrt (+ (exp (neg im)) (exp im)))
5.0ms	(sqrt (+ (exp (neg im)) (exp im)))
10.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im))))
16.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (+ (exp (neg im)) (exp im))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ (exp (neg im)) (exp im)))
6.0ms	(sqrt (+ (exp (neg im)) (exp im)))
17.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im))))
16.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (neg im)) (exp im)))) (sqrt (+ (exp (neg im)) (exp im))))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	391	1187
1	1930	1007
2	5001	984

prune80.0ms

Filtered

64 candidates to 101 candidates (-57.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Merged error: 0b

Counts

104 → 3

regimes187.0ms

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	12	9
1	12	9

end0.0ms

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 65.979381%

Results

754.0ms	1464×	body	1280	valid
493.0ms	1513×	body	1280	invalid
347.0ms	1259×	body	640	valid
267.0ms	1186×	body	640	invalid
233.0ms	4351×	body	80	valid
108.0ms	627×	body	320	valid
100.0ms	638×	body	320	invalid
37.0ms	299×	body	160	valid
32.0ms	296×	body	160	invalid
26.0ms	416×	body	80	invalid

Details

sample1.3s

simplify63.0ms

prune6.0ms

localize9.0ms

rewrite15.0ms

series17.0ms

simplify36.0ms

prune51.0ms

localize8.0ms

rewrite19.0ms

series38.0ms

simplify48.0ms

prune64.0ms

localize8.0ms

rewrite24.0ms

series25.0ms

simplify53.0ms

prune63.0ms

localize12.0ms

rewrite39.0ms

series45.0ms

simplify56.0ms

prune80.0ms

regimes187.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.9s

Profiling