Details

analyze377.0ms

Algorithm: search

sample87.0ms

Algorithm

intervals

Results

23.0ms	47×	body	1280	valid
17.0ms	52×	body	1280	invalid
11.0ms	43×	body	640	valid
8.0ms	151×	body	80	valid
8.0ms	34×	body	640	invalid
3.0ms	16×	body	320	invalid
1.0ms	9×	body	320	valid
1.0ms	9×	body	160	invalid
1.0ms	13×	body	80	invalid
1.0ms	6×	body	160	valid

simplify67.0ms

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	596	7
6	1198	7
7	1931	7
8	5001	7

prune4.0ms

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

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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 (neg im)) (exp im))
9.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (neg im)) (exp im))
14.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	248	347
1	1228	286
2	5001	284

prune52.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0.0b

Counts

42 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 51

Calls

3 calls:

5.0ms	(/ (* 0.5 (cos re)) (exp im))
6.0ms	(* (* 0.5 (cos re)) (exp im))
8.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (* 0.5 (cos re)) (exp im))
8.0ms	(* (* 0.5 (cos re)) (exp im))
19.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5001	384

prune71.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Merged error: 0b

Counts

63 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(+ (/ 0.5 (/ (exp im) (cos re))) (* (* 0.5 (cos re)) (exp im)))
0.1b	(/ (exp im) (cos re))
0.2b	(/ 0.5 (/ (exp im) (cos re)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*` `add-cbrt-cube`
12×	`add-exp-log`
9×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `associate-/r/` `*-commutative` `flip-+`

Counts

4 → 126

Calls

4 calls:

6.0ms	(* (* 0.5 (cos re)) (exp im))
15.0ms	(+ (/ 0.5 (/ (exp im) (cos re))) (* (* 0.5 (cos re)) (exp im)))
4.0ms	(/ (exp im) (cos re))
7.0ms	(/ 0.5 (/ (exp im) (cos re)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (* 0.5 (cos re)) (exp im))
20.0ms	(+ (/ 0.5 (/ (exp im) (cos re))) (* (* 0.5 (cos re)) (exp im)))
9.0ms	(/ (exp im) (cos re))
14.0ms	(/ 0.5 (/ (exp im) (cos re)))

simplify75.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	538	1164
1	2611	1083
2	5002	1072

prune151.0ms

Filtered

110 candidates to 138 candidates (-25.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	138	4	142

Merged error: 0b

Counts

142 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

5.0ms	(+ (exp (neg im)) (exp im))
9.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
3.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3))
10.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3)

series58.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (exp (neg im)) (exp im))
13.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
15.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3))
26.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	382	813
1	1966	766
2	5001	765

prune100.0ms

Filtered

60 candidates to 93 candidates (-55.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes330.0ms

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	12	9
1	12	9

end0.0ms

analyze371.0ms

Algorithm: search

sample2.8s

Algorithm

intervals

Results

767.0ms	1439×	body	1280	valid
528.0ms	1530×	body	1280	invalid
355.0ms	1263×	body	640	valid
286.0ms	1214×	body	640	invalid
249.0ms	4385×	body	80	valid
115.0ms	603×	body	320	valid
98.0ms	588×	body	320	invalid
37.0ms	310×	body	160	valid
35.0ms	306×	body	160	invalid
33.0ms	528×	body	80	invalid

Details

analyze377.0ms

sample87.0ms

simplify67.0ms

prune4.0ms

localize14.0ms

rewrite15.0ms

series18.0ms

simplify37.0ms

prune52.0ms

localize9.0ms

rewrite20.0ms

series39.0ms

simplify49.0ms

prune71.0ms

localize10.0ms

rewrite37.0ms

series51.0ms

simplify75.0ms

prune151.0ms

localize14.0ms

rewrite30.0ms

series58.0ms

simplify63.0ms

prune100.0ms

regimes330.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze371.0ms

sample2.8s

Profiling