Details

sample99.0ms

Algorithm

intervals

Results

41.0ms	97×	body	1280	valid
18.0ms	70×	body	640	valid
18.0ms	255×	body	80	valid
6.0ms	35×	body	320	valid
2.0ms	19×	body	160	valid

simplify70.0ms

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 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`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` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317

prune139.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 0b

Counts

60 → 3

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow im 4) 1/12 (fma im im 2))
0.0b	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

1.0ms	(fma (pow im 4) 1/12 (fma im im 2))
5.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma (pow im 4) 1/12 (fma im im 2))
116.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

simplify32.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	193	281
1	939	234
2	5001	234

prune79.0ms

Filtered

38 candidates to 26 candidates (68.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

41 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(+ (exp (- 0.0 im)) (exp im))
0.4b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.5b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`fma-def`
22×	`add-sqr-sqrt` `add-cube-cbrt` `exp-sum`
18×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
14×	`sqrt-div` `associate-r`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-l` `associate-l/` `sum-log` `-commutative`

Counts

4 → 117

Calls

4 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
10.0ms	(+ (exp (- 0.0 im)) (exp im))
18.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
28.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (- 0.0 im)) (exp im))
21.0ms	(+ (exp (- 0.0 im)) (exp im))
88.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
68.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify57.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	423	1155
1	1909	962
2	5001	951

prune361.0ms

Filtered

129 candidates to 93 candidates (72.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	129	3	132

Merged error: 0b

Counts

132 → 3

regimes117.0ms

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	14	7
1	14	7

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	3054×	body	1280	valid
662.0ms	2498×	body	640	valid
631.0ms	8421×	body	80	valid
210.0ms	1207×	body	320	valid
73.0ms	617×	body	160	valid