Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	37×	body	1280	valid
9.0ms	233×	body	80	valid
6.0ms	35×	body	640	valid
1.0ms	11×	body	320	valid
1.0ms	12×	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

prune3.0ms

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

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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (exp re) (sin im))

simplify159.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

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

prune25.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0.0b

Counts

22 → 2

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

rewrite20.0ms

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))
6.0ms	(* (sqrt (exp re)) (sin im))
9.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
10.0ms	(* (sqrt (exp re)) (sin im))
8.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify71.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2307	370
3	5001	359

prune72.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(* (exp (* 1/2 re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (exp (* 1/2 re)) (sin im)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
8×	`add-exp-log`
6×	`sqrt-prod`
4×	`sqrt-pow1` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`exp-prod` `add-log-exp`
2×	`*-commutative`
1×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

2.0ms	(sqrt (exp re))
5.0ms	(* (exp (* 1/2 re)) (sin im))
8.0ms	(* (sqrt (exp re)) (* (exp (* 1/2 re)) (sin im)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(sqrt (exp re))
8.0ms	(* (exp (* 1/2 re)) (sin im))
14.0ms	(* (sqrt (exp re)) (* (exp (* 1/2 re)) (sin im)))

simplify71.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	187	393
1	640	343
2	3380	309
3	5001	286

prune67.0ms

Filtered

45 candidates to 64 candidates (-42.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(* (cbrt (exp re)) (cbrt (exp re)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (exp re))
14.0ms	(cbrt (exp re))
14.0ms	(cbrt (exp re))
19.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify65.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	115	429
1	396	392
2	1873	363
3	5001	335

prune69.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes224.0ms

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	13	7
1	13	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

489.0ms	1497×	body	1280	valid
273.0ms	6906×	body	80	valid
231.0ms	1221×	body	640	valid
75.0ms	590×	body	320	valid
25.0ms	292×	body	160	valid

Details

sample41.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite5.0ms

series9.0ms

simplify159.0ms

prune25.0ms

localize7.0ms

rewrite20.0ms

series24.0ms

simplify71.0ms

prune72.0ms

localize9.0ms

rewrite16.0ms

series25.0ms

simplify71.0ms

prune67.0ms

localize15.0ms

rewrite13.0ms

series61.0ms

simplify65.0ms

prune69.0ms

regimes224.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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