Details

sample401.0ms

Algorithm

intervals

Results

96.0ms	30×	body	2560	valid
26.0ms	42×	body	1280	valid
9.0ms	154×	body	80	valid
6.0ms	19×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	1×	body	5120	exit

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 19.5b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
6.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.0b	(tan (* PI l))

rewrite25.0ms

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

series269.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
137.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
87.0ms	(tan (* PI l))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (37.0ms)

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

prune248.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	84	13	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	13	98

Merged error: 12.6b

Counts

98 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
27.0b	(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)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series227.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
19.0ms	(* PI l)
121.0ms	(* (/ 1.0 F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify93.0ms

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

prune264.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	84	14	98
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	92	19	111

Merged error: 12.5b

Counts

111 → 19

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
27.0b	(tan (* PI l))

rewrite15.0ms

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))

series208.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (tan (* PI l)) F)
19.0ms	(* PI l)
19.0ms	(* PI l)
67.0ms	(tan (* PI l))

simplify67.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (61.0ms)

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

prune233.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	17	18
Picked	0	1	1
Done	0	0	0
Total	91	20	111

Merged error: 12.5b

Counts

111 → 20

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.7b	(/ 1 (/ F (tan (* PI l))))
27.0b	(tan (* PI l))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
51×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
14×	`associate-/r*`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`div-exp`
6×	`associate-r` `associate-l`
5×	`tan-quot` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

4 → 132

Calls

4 calls:

3.0ms	(* PI l)
4.0ms	(* PI l)
7.0ms	(/ 1 (/ F (tan (* PI l))))
2.0ms	(tan (* PI l))

series224.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
19.0ms	(* PI l)
112.0ms	(/ 1 (/ F (tan (* PI l))))
67.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	429	900
1	1699	802
2	5002	713

prune222.0ms

Filtered

144 candidates to 82 candidates (56.9%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	143	21	164

Merged error: 12.5b

Counts

164 → 21

regimes380.0ms

Accuracy

0% (0.3b remaining)

Error of 12.6b against oracle of 12.3b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.4s	820×	body	2560	valid
998.0ms	1714×	body	1280	valid
262.0ms	949×	body	640	valid
231.0ms	4460×	body	80	valid
76.0ms	434×	body	320	valid
28.0ms	211×	body	160	valid
2.0ms	5×	body	5120	exit