Details

sample93.0ms

Algorithm

intervals

Results

36.0ms	94×	body	1280	valid
20.0ms	89×	body	640	valid
12.0ms	255×	body	80	valid
7.0ms	45×	body	320	valid
3.0ms	26×	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

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

rewrite29.0ms

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

series89.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (exp (- 0.0 im)) (exp im))
62.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (34.0ms)

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

prune169.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0b

Counts

60 → 5

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

rewrite33.0ms

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:

14.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
11.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series170.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
42.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
36.0ms	(* (* 0.5 (sin re)) (exp im))

simplify61.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (55.0ms)

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

prune183.0ms

Filtered

76 candidates to 52 candidates (68.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	77	4	81

Merged error: 0b

Counts

81 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`cbrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-r`
16×	`pow1`
11×	`exp-sum`
9×	`add-exp-log` `prod-diff` `add-cbrt-cube`
8×	`pow1/3`
7×	`associate-l`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `sub-neg` `pow-plus` `exp-diff` `associate-*r/`

Counts

4 → 100

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
6.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
11.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt (exp im))
76.0ms	(cbrt (exp im))
90.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
41.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify41.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	371	664
1	1402	571
2	5002	539

prune311.0ms

Filtered

112 candidates to 75 candidates (67.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0b

Counts

116 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.4b	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
16.3b	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
11×	`exp-sum`
9×	`prod-diff`
8×	`cbrt-prod`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cube-div` `expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u`
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` `sub-neg` `distribute-lft-in` `pow1/3` `associate-l` `sum-log` `*-commutative` `rem-cbrt-cube`

Counts

4 → 103

Calls

4 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
13.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
14.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
3.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

series247.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (- 0.0 im)) (exp im))
65.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
96.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
65.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	427	883
1	2131	841
2	5001	839

prune324.0ms

Filtered

115 candidates to 84 candidates (73.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	115	4	119

Merged error: 0b

Counts

119 → 4

regimes146.0ms

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

sample2.8s

Algorithm

intervals

Results

1.2s	2874×	body	1280	valid
565.0ms	8452×	body	80	valid
556.0ms	2384×	body	640	valid
174.0ms	1177×	body	320	valid
65.0ms	602×	body	160	valid