Details

sample95.0ms

Algorithm

intervals

Results

43.0ms	107×	body	1280	valid
17.0ms	75×	body	640	valid
14.0ms	292×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	17×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4421	7
9	5001	7

prune2.0ms

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 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

14.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	238	265
1	1157	219
2	5002	218

prune62.0ms

Filtered

28 candidates to 18 candidates (64.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	2	29

Merged error: 0b

Counts

29 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

15.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
7.0ms	(* (* 0.5 (sin re)) (exp im))
12.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
37.0ms	(* (* 0.5 (sin re)) (exp im))
43.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify66.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	436	617
1	2003	504
2	5001	499

prune196.0ms

Filtered

76 candidates to 55 candidates (72.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp im))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube`
5×	`add-exp-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
7.0ms	(* (* 0.5 (sin re)) (exp im))

series132.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
37.0ms	(* (* 0.5 (sin re)) (exp im))

simplify109.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	213	285
1	831	235
2	4309	230
3	5002	229

prune99.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	36	2	38

Merged error: 0b

Counts

38 → 2

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	2964×	body	1280	valid
570.0ms	2510×	body	640	valid
417.0ms	8573×	body	80	valid
178.0ms	1203×	body	320	valid
58.0ms	582×	body	160	valid