Details

sample103.0ms

Algorithm

intervals

Results

43.0ms	106×	body	1280	valid
19.0ms	74×	body	640	valid
18.0ms	288×	body	80	valid
5.0ms	35×	body	320	valid
3.0ms	25×	body	160	valid

simplify66.0ms

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)))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

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

prune89.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

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))
11.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(/ (* 0.5 (cos re)) (exp im))

series158.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (* 0.5 (cos re)) (exp im))
85.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
37.0ms	(/ (* 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

prune121.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))
0.0b	(pow (+ (exp (* -1 im)) (exp im)) 3)
0.0b	(cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `*-un-lft-identity`
17×	`associate-r`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`cube-div` `add-log-exp`
4×	`cbrt-div` `flip3-+` `flip-+`
3×	`cube-mult` `pow-unpow` `unpow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (exp (* -1 im)) (exp im))
12.0ms	(* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))
5.0ms	(pow (+ (exp (* -1 im)) (exp im)) 3)
5.0ms	(cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))

series159.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (* -1 im)) (exp im))
63.0ms	(* (* 0.5 (cos re)) (cbrt (pow (+ (exp (* -1 im)) (exp im)) 3)))
49.0ms	(pow (+ (exp (* -1 im)) (exp im)) 3)
26.0ms	(cbrt (pow (+ (exp (* -1 im)) (exp im)) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	363	880
1	1789	815
2	5003	798

prune229.0ms

Filtered

110 candidates to 61 candidates (55.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

regimes68.0ms

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

sample3.0s

Algorithm

intervals

Results

1.4s	3046×	body	1280	valid
580.0ms	2474×	body	640	valid
435.0ms	8760×	body	80	valid
192.0ms	1197×	body	320	valid
62.0ms	592×	body	160	valid

Details

sample103.0ms

simplify66.0ms

prune3.0ms

localize10.0ms

rewrite16.0ms

series87.0ms

simplify36.0ms

prune89.0ms

localize9.0ms

rewrite25.0ms

series158.0ms

simplify49.0ms

prune121.0ms

localize13.0ms

rewrite30.0ms

series159.0ms

simplify61.0ms

prune229.0ms

regimes68.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

Profiling