Details

sample102.0ms

Algorithm

intervals

Results

47.0ms	114×	body	1280	valid
19.0ms	80×	body	640	valid
14.0ms	281×	body	80	valid
5.0ms	31×	body	320	valid
2.0ms	21×	body	160	valid

simplify71.0ms

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	629	7
6	1415	7
7	2148	7
8	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

rewrite20.0ms

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 (- im)) (exp im))
14.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp (- im)) (exp im))
59.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284

prune80.0ms

Filtered

41 candidates to 28 candidates (68.3%)

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

localize9.0ms

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

rewrite21.0ms

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:

8.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(/ (* 0.5 (cos re)) (exp im))
6.0ms	(* (* 0.5 (cos re)) (exp im))

series163.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
37.0ms	(/ (* 0.5 (cos re)) (exp im))
41.0ms	(* (* 0.5 (cos re)) (exp im))

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (45.0ms)

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

prune109.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize9.0ms

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))

rewrite25.0ms

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:

8.0ms	(+ (/ 1 (exp im)) (exp im))
12.0ms	(* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))
4.0ms	(/ 1 (exp im))

series93.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (/ 1 (exp im)) (exp im))
61.0ms	(* (* 0.5 (cos re)) (+ (/ 1 (exp im)) (exp im)))
8.0ms	(/ 1 (exp im))

simplify54.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	311	488
1	1667	405
2	5001	405

prune110.0ms

Filtered

80 candidates to 45 candidates (56.3%)

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

regimes56.0ms

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

sample2.9s

Algorithm

intervals

Results

1.3s	3036×	body	1280	valid
598.0ms	2420×	body	640	valid
438.0ms	8656×	body	80	valid
208.0ms	1274×	body	320	valid
64.0ms	590×	body	160	valid