Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	58×	body	1280	valid
10.0ms	217×	body	80	valid
7.0ms	37×	body	640	valid
3.0ms	27×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* (exp re) (cos im))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* (exp re) (cos im))

simplify140.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 4 (138.0ms)

Iter	Nodes	Cost
0	82	105
1	268	92
2	1050	92
3	4260	92
4	5001	91

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (cos im))
0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

8.0ms	(* (sqrt (exp re)) (cos im))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
21.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (sqrt (exp re)) (cos im))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
33.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	161	458
1	591	404
2	2177	402
3	5002	388

prune222.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (cos im))))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`associate-r` `*-commutative`

Counts

4 → 65

Calls

4 calls:

75.0ms	(* (sqrt (exp re)) (* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (cos im))))
1.0ms	(cbrt (exp re))
1.0ms	(cbrt (exp re))
1.0ms	(cbrt (exp re))

series276.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sqrt (exp re)) (* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (cos im))))
79.0ms	(cbrt (exp re))
80.0ms	(cbrt (exp re))
78.0ms	(cbrt (exp re))

simplify131.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	192	614
1	744	532
2	4048	521
3	5003	512

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.2b	(cbrt (pow (* (exp re) (cos im)) 3))
0.3b	(pow (* (exp re) (cos im)) 3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

6.0ms	(* (exp re) (cos im))
1.0ms	(cbrt (pow (* (exp re) (cos im)) 3))
7.0ms	(pow (* (exp re) (cos im)) 3)

series119.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (exp re) (cos im))
37.0ms	(cbrt (pow (* (exp re) (cos im)) 3))
50.0ms	(pow (* (exp re) (cos im)) 3)

simplify235.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	159	326
1	663	311
2	4878	310
3	5001	310

prune158.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes95.0ms

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	9	7
1	9	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

497.0ms	1522×	body	1280	valid
324.0ms	6823×	body	80	valid
236.0ms	1262×	body	640	valid
87.0ms	638×	body	320	valid
28.0ms	317×	body	160	valid