Details

sample389.0ms

Algorithm

intervals

Results

86.0ms	27×	body	2560	valid
26.0ms	53×	body	1280	valid
9.0ms	37×	body	640	valid
8.0ms	151×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	39	7
2	76	7
3	114	7
4	137	7
5	144	7
6	144	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: 16.6b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.7b	(/ 1.0 (* F F))
3.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.9b	(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` `div-exp` `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 → 77

Calls

4 calls:

4.0ms	(* PI l)
5.0ms	(/ 1.0 (* F F))
10.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series275.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
140.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
89.0ms	(tan (* PI l))

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	323	443
1	1416	374
2	5001	374

prune213.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	75	14	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	14	90

Merged error: 12.6b

Counts

90 → 14

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)))
29.9b	(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×	`prod-exp` `cbrt-unprod` `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 → 78

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series237.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(* PI l)
125.0ms	(* (/ 1.0 F) (tan (* PI l)))
67.0ms	(tan (* PI l))

simplify88.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	382
1	1009	342
2	3834	341
3	5001	341

prune225.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	78	12	90
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	83	21	104

Merged error: 12.5b

Counts

104 → 21

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
29.9b	(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×	`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 → 72

Calls

4 calls:

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

series215.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (tan (* PI l)) F)
20.0ms	(* PI l)
26.0ms	(* PI l)
64.0ms	(tan (* PI l))

simplify65.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	203	349
1	665	322
2	2215	322
3	5001	322

prune205.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	84	21	105

Merged error: 12.5b

Counts

105 → 21

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.4b	(/ 1 (/ F (tan (* PI l))))
29.9b	(tan (* PI l))

rewrite24.0ms

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×	`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 → 124

Calls

4 calls:

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

series226.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
20.0ms	(* PI l)
122.0ms	(/ 1 (/ F (tan (* PI l))))
65.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	421	878
1	1678	781
2	5001	693

prune200.0ms

Filtered

136 candidates to 74 candidates (54.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	1	19	20
Picked	0	1	1
Done	0	0	0
Total	135	22	157

Merged error: 12.5b

Counts

157 → 22

regimes410.0ms

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.4s	791×	body	2560	valid
923.0ms	1670×	body	1280	valid
228.0ms	936×	body	640	valid
205.0ms	4604×	body	80	valid
70.0ms	431×	body	320	valid
21.0ms	195×	body	160	valid
2.0ms	5×	body	10240	exit