Details

sample49.0ms

Algorithm

intervals

Results

13.0ms	48×	body	1280	valid
13.0ms	58×	body	640	valid
8.0ms	231×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	16×	body	160	valid

simplify4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin 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×	`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))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (exp re) (sin im))

simplify164.0ms

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

prune43.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

localize8.0ms

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)))

rewrite21.0ms

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

series111.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp re))
16.0ms	(sqrt (exp re))
44.0ms	(* (sqrt (exp re)) (sin im))
39.0ms	(* (sqrt (exp re)) (* (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	2307	370
3	5001	359

prune189.0ms

Filtered

87 candidates to 60 candidates (69.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
24×	`associate-l`
22×	`pow1` `add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

3.0ms	(sqrt (sqrt (exp re)))
6.0ms	(* (sqrt (exp re)) (sin im))
11.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
16.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (sqrt (exp re)))
44.0ms	(* (sqrt (exp re)) (sin im))
91.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
41.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

simplify42.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	301	848
1	1104	679
2	5001	632

prune254.0ms

Filtered

107 candidates to 70 candidates (65.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
4.0ms	(cbrt (* (exp re) (sin im)))
4.0ms	(cbrt (* (exp re) (sin im)))
4.0ms	(cbrt (* (exp re) (sin im)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
70.0ms	(cbrt (* (exp re) (sin im)))
72.0ms	(cbrt (* (exp re) (sin im)))
68.0ms	(cbrt (* (exp re) (sin im)))

simplify110.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	153	493
1	625	410
2	3514	370
3	5001	360

prune183.0ms

Filtered

70 candidates to 48 candidates (68.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	70	4	74

Merged error: 0b

Counts

74 → 4

regimes115.0ms

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

sample1.2s

Algorithm

intervals

Results

422.0ms	1412×	body	1280	valid
244.0ms	6987×	body	80	valid
209.0ms	1236×	body	640	valid
67.0ms	615×	body	320	valid
24.0ms	324×	body	160	valid