Details

sample382.0ms

Algorithm

intervals

Results

71.0ms	24×	body	2560	valid
29.0ms	46×	body	1280	valid
11.0ms	39×	body	640	valid
7.0ms	143×	body	80	valid
3.0ms	19×	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: 17.8b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
1.0b	(/ 1.0 (* F F))
5.0b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.7b	(tan (* PI l))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

3.0ms	(* PI l)
5.0ms	(/ 1.0 (* F F))
9.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series261.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
141.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
75.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	334	468
1	1442	399
2	5001	398

prune235.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	82	15	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	15	98

Merged error: 12.6b

Counts

98 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
31.7b	(tan (* PI l))

rewrite18.0ms

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)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series231.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
125.0ms	(* (/ 1.0 F) (tan (* PI l)))
67.0ms	(tan (* PI l))

simplify95.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (84.0ms)

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

prune252.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	86	12	98
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	94	19	113

Merged error: 12.5b

Counts

113 → 19

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1.0 F))
0.6b	(cbrt (/ 1.0 F))
0.6b	(cbrt (/ 1.0 F))
31.7b	(tan (* PI l))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 82

Calls

4 calls:

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

series676.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (/ 1.0 F))
200.0ms	(cbrt (/ 1.0 F))
208.0ms	(cbrt (/ 1.0 F))
64.0ms	(tan (* PI l))

simplify121.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	152	485
1	324	465
2	1009	459
3	3857	453
4	5002	453

prune314.0ms

Filtered

94 candidates to 80 candidates (85.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	93	20	113

Merged error: 12.5b

Counts

113 → 20

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
31.7b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
3.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt l)
181.0ms	(cbrt l)
180.0ms	(cbrt l)
90.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify205.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	111	258
1	276	234
2	926	218
3	4988	218
4	5001	218

prune186.0ms

Filtered

61 candidates to 53 candidates (86.9%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	53	8	61
Fresh	4	14	18
Picked	1	0	1
Done	0	1	1
Total	58	23	81

Merged error: 12.5b

Counts

81 → 23

regimes448.0ms

Accuracy

0% (0.4b remaining)

Error of 12.8b against oracle of 12.3b and baseline of 12.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.5s	819×	body	2560	valid
966.0ms	1663×	body	1280	valid
265.0ms	972×	body	640	valid
233.0ms	4474×	body	80	valid
74.0ms	407×	body	320	valid
32.0ms	251×	body	160	valid
2.0ms	3×	body	5120	exit