Details

sample96.0ms

Algorithm

intervals

Results

37.0ms	103×	body	1280	valid
21.0ms	99×	body	640	valid
14.0ms	265×	body	80	valid
7.0ms	47×	body	320	valid
2.0ms	18×	body	160	valid

simplify72.0ms

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)))

rewrite17.0ms

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))
10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
62.0ms	(* (* 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

prune82.0ms

Filtered

41 candidates to 28 candidates (68.3%)

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

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

6.0ms	(+ (exp (- im)) (exp im))
11.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
3.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
11.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

series230.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (- im)) (exp im))
57.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
62.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3))
89.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3)

simplify69.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	383	813
1	1992	766
2	5002	765

prune205.0ms

Filtered

93 candidates to 60 candidates (64.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Merged error: 0b

Counts

95 → 2

regimes102.0ms

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	13	7
1	13	7

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	2972×	body	1280	valid
523.0ms	2451×	body	640	valid
381.0ms	8437×	body	80	valid
189.0ms	1290×	body	320	valid
61.0ms	642×	body	160	valid