Details

sample92.0ms

Algorithm

intervals

Results

38.0ms	103×	body	1280	valid
21.0ms	99×	body	640	valid
11.0ms	267×	body	80	valid
4.0ms	27×	body	320	valid
2.0ms	20×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1514	6
7	2284	6
8	5001	6

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `add-log-exp`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 42

Calls

2 calls:

10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
6.0ms	(+ (exp (- im)) (exp im))

series86.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
22.0ms	(+ (exp (- im)) (exp im))

simplify40.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	258	374
1	1276	311
2	5002	307

prune105.0ms

Filtered

48 candidates to 35 candidates (72.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	2	49

Merged error: 0b

Counts

49 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
0.0b	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))
0.0b	(sqrt (exp (- im)))
0.0b	(sqrt (exp (- im)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-pow1`
20×	`exp-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`neg-sub0` `exp-neg` `neg-mul-1` `rem-sqrt-square` `pow1/2` `exp-diff`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

5.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
1.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))
3.0ms	(sqrt (exp (- im)))
3.0ms	(sqrt (exp (- im)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
69.0ms	(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))
14.0ms	(sqrt (exp (- im)))
15.0ms	(sqrt (exp (- im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	241	658
1	977	521
2	5002	512

prune270.0ms

Filtered

98 candidates to 77 candidates (78.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	2	100

Merged error: 0b

Counts

100 → 2

regimes97.0ms

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	2996×	body	1280	valid
514.0ms	2444×	body	640	valid
383.0ms	8676×	body	80	valid
168.0ms	1198×	body	320	valid
58.0ms	618×	body	160	valid