Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	44×	body	1280	valid
8.0ms	229×	body	80	valid
6.0ms	38×	body	640	valid
3.0ms	27×	body	320	valid
0.0ms	5×	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

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (exp re) (sin im))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (exp re) (sin im))

simplify161.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune34.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0.0b

Counts

22 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
12.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
6.0ms	(* (sqrt (exp re)) (sin im))

series109.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
39.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
46.0ms	(* (sqrt (exp re)) (sin im))

simplify62.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2306	370
3	5001	359

prune140.0ms

Filtered

87 candidates to 58 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (log (exp (sqrt (exp re)))) (sin im)))
0.0b	(exp (sqrt (exp re)))
0.0b	(* (log (exp (sqrt (exp re)))) (sin im))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`associate-l`
15×	`exp-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
12×	`sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube`
7×	`log-pow`
5×	`add-log-exp`
4×	`sqrt-pow1` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`rem-sqrt-square` `pow1/2` `rem-exp-log` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

2.0ms	(sqrt (exp re))
11.0ms	(* (sqrt (exp re)) (* (log (exp (sqrt (exp re)))) (sin im)))
3.0ms	(exp (sqrt (exp re)))
6.0ms	(* (log (exp (sqrt (exp re)))) (sin im))

series135.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
39.0ms	(* (sqrt (exp re)) (* (log (exp (sqrt (exp re)))) (sin im)))
37.0ms	(exp (sqrt (exp re)))
47.0ms	(* (log (exp (sqrt (exp re)))) (sin im))

simplify71.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	235	536
1	738	414
2	2643	407
3	5002	403

prune167.0ms

Filtered

88 candidates to 62 candidates (70.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.3b	(pow (* (exp re) (sin im)) 3)
13.7b	(cbrt (pow (* (exp re) (sin im)) 3))

rewrite13.0ms

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×	`pow-unpow` `associate-r` `associate-l` `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 → 57

Calls

3 calls:

5.0ms	(* (exp re) (sin im))
5.0ms	(pow (* (exp re) (sin im)) 3)
2.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

series129.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (exp re) (sin im))
49.0ms	(pow (* (exp re) (sin im)) 3)
40.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	173	312
1	761	294
2	5002	291

prune100.0ms

Filtered

66 candidates to 42 candidates (63.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Merged error: 0b

Counts

70 → 4

regimes98.0ms

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	6	3
1	6	3

end0.0ms

sample1.3s

Algorithm

intervals

Results

476.0ms	1498×	body	1280	valid
264.0ms	6914×	body	80	valid
213.0ms	1194×	body	640	valid
82.0ms	667×	body	320	valid
31.0ms	342×	body	160	valid

Details

sample42.0ms

simplify3.0ms

prune2.0ms

localize5.0ms

rewrite5.0ms

series42.0ms

simplify161.0ms

prune34.0ms

localize7.0ms

rewrite24.0ms

series109.0ms

simplify62.0ms

prune140.0ms

localize11.0ms

rewrite24.0ms

series135.0ms

simplify71.0ms

prune167.0ms

localize8.0ms

rewrite13.0ms

series129.0ms

simplify33.0ms

prune100.0ms

regimes98.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling