Details

sample393.0ms

Algorithm

intervals

Results

92.0ms	30×	body	2560	valid
30.0ms	56×	body	1280	valid
7.0ms	139×	body	80	valid
7.0ms	29×	body	640	valid
3.0ms	18×	body	320	valid
0.0ms	3×	body	160	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	41	7
2	82	7
3	122	7
4	147	7
5	157	7
6	159	7
7	159	7

prune5.0ms

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: 17.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
3.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.4b	(tan (* PI l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `times-frac` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
2×	`cbrt-undiv` `div-exp`
1×	`frac-times` `associate-r/` `associate-l/` `div-inv`

Counts

4 → 82

Calls

4 calls:

3.0ms	(* PI l)
4.0ms	(* PI l)
10.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series271.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
21.0ms	(* PI l)
140.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
90.0ms	(tan (* PI l))

simplify41.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	315	426
1	1421	368
2	5002	367

prune263.0ms

Filtered

94 candidates to 66 candidates (70.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	76	18	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	18	95

Merged error: 13.3b

Counts

95 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
31.4b	(tan (* PI l))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `times-frac`
9×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(* PI l)
4.0ms	(* PI l)
8.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series235.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
23.0ms	(* PI l)
126.0ms	(* (/ 1.0 F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify89.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	286	403
1	1032	363
2	3928	361
3	5001	360

prune292.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	83	15	98
Fresh	13	4	17
Picked	1	0	1
Done	0	0	0
Total	97	19	116

Merged error: 13.3b

Counts

116 → 19

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.3b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot` `associate-r` `*-commutative`

Counts

4 → 63

Calls

4 calls:

7.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
2.0ms	(sqrt PI)
3.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series89.0ms

Counts

4 → 8

Calls

4 calls:

22.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
67.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	158	264
1	501	230
2	1518	229
3	5001	229

prune247.0ms

Filtered

71 candidates to 53 candidates (74.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	72	18	90

Merged error: 13.3b

Counts

90 → 18

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(expm1 (log1p (sqrt PI)))
31.3b	(tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot` `expm1-log1p` `expm1-udef`

Counts

4 → 51

Calls

4 calls:

2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
1.0ms	(expm1 (log1p (sqrt PI)))
3.0ms	(tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))

series364.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(expm1 (log1p (sqrt PI)))
364.0ms	(tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))

simplify122.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	241
1	245	226
2	803	226
3	3953	226
4	5001	226

prune202.0ms

Filtered

57 candidates to 46 candidates (80.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	54	21	75

Merged error: 13.3b

Counts

75 → 21

regimes458.0ms

Accuracy

0% (0.3b remaining)

Error of 12.5b against oracle of 12.2b and baseline of 12.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	17
1	26	17

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	840×	body	2560	valid
903.0ms	1640×	body	1280	valid
229.0ms	927×	body	640	valid
202.0ms	4573×	body	80	valid
68.0ms	417×	body	320	valid
23.0ms	220×	body	160	valid
3.0ms	7×	body	10240	exit