Details

sample389.0ms

Algorithm

intervals

Results

73.0ms	25×	body	2560	valid
30.0ms	52×	body	1280	valid
9.0ms	35×	body	640	valid
8.0ms	142×	body	80	valid
2.0ms	12×	body	320	valid
1.0ms	7×	body	160	valid

simplify21.0ms

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

prune4.0ms

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: 17.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
5.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.5b	(tan (* PI l))

rewrite24.0ms

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:

4.0ms	(* PI l)
5.0ms	(/ 1.0 (* F F))
9.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series271.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
26.0ms	(/ 1.0 (* F F))
138.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
87.0ms	(tan (* PI l))

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (36.0ms)

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

prune213.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	87	10	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	10	98

Merged error: 11.7b

Counts

98 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.4b	(* (/ 1.0 F) (tan (* PI l)))
30.5b	(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))

series230.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
125.0ms	(* (/ 1.0 F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify87.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (81.0ms)

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

prune248.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	84	14	98
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	87	21	108

Merged error: 11.6b

Counts

108 → 21

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
30.5b	(tan (* PI l))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

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

series204.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (tan (* PI l)) F)
19.0ms	(* PI l)
23.0ms	(* PI l)
62.0ms	(tan (* PI l))

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	212	368
1	688	341
2	2316	339
3	5002	338

prune220.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	92	21	113

Merged error: 11.6b

Counts

113 → 21

localize18.0ms

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))
30.5b	(tan (* PI l))

rewrite11.0ms

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

series653.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (/ 1.0 F))
198.0ms	(cbrt (/ 1.0 F))
201.0ms	(cbrt (/ 1.0 F))
62.0ms	(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

prune255.0ms

Filtered

94 candidates to 80 candidates (85.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	94	21	115

Merged error: 11.6b

Counts

115 → 21

regimes378.0ms

Accuracy

0% (0.4b remaining)

Error of 12.9b against oracle of 12.4b and baseline of 12.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	833×	body	2560	valid
928.0ms	1650×	body	1280	valid
246.0ms	981×	body	640	valid
195.0ms	4533×	body	80	valid
63.0ms	403×	body	320	valid
23.0ms	215×	body	160	valid
2.0ms	4×	body	10240	exit