Details

sample107.0ms

Algorithm

intervals

Results

44.0ms	110×	body	1280	valid
18.0ms	76×	body	640	valid
18.0ms	284×	body	80	valid
8.0ms	47×	body	320	valid
3.0ms	29×	body	160	valid

simplify68.0ms

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

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

rewrite16.0ms

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))
10.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (neg im)) (exp im))
64.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

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

prune80.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 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)) (* (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite25.0ms

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:

6.0ms	(* (* 0.5 (cos re)) (exp im))
12.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(/ (* 0.5 (cos re)) (exp im))

series156.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (* 0.5 (cos re)) (exp im))
84.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
37.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify51.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (46.0ms)

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

prune109.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize13.0ms

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))
0.4b	(pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3)

rewrite33.0ms

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:

6.0ms	(+ (exp (neg im)) (exp im))
10.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
3.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3))
11.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3)

series238.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (neg im)) (exp im))
62.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
64.0ms	(cbrt (pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3))
90.0ms	(pow (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))) 3)

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (57.0ms)

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

prune199.0ms

Filtered

93 candidates to 60 candidates (64.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes158.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	2973×	body	1280	valid
622.0ms	2472×	body	640	valid
435.0ms	8475×	body	80	valid
208.0ms	1232×	body	320	valid
74.0ms	669×	body	160	valid

Details

sample107.0ms

simplify68.0ms

prune3.0ms

localize10.0ms

rewrite16.0ms

series87.0ms

simplify37.0ms

prune80.0ms

localize9.0ms

rewrite25.0ms

series156.0ms

simplify51.0ms

prune109.0ms

localize13.0ms

rewrite33.0ms

series238.0ms

simplify66.0ms

prune199.0ms

regimes158.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample2.9s

Profiling