Details

sample378.0ms

Algorithm

intervals

Results

70.0ms	24×	body	2560	valid
28.0ms	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

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 17.8b

Counts

2 → 1

localize12.0ms

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))

rewrite23.0ms

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:

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

series266.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
133.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
89.0ms	(tan (* PI l))

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune214.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	74	15	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	15	90

Merged error: 12.6b

Counts

90 → 15

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)))
31.7b	(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×	`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)
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)
127.0ms	(* (/ 1.0 F) (tan (* PI l)))
65.0ms	(tan (* PI l))

simplify87.0ms

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

prune231.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	78	12	90
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	86	19	105

Merged error: 12.5b

Counts

105 → 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)
31.7b	(tan (* PI l))

rewrite16.0ms

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))

series209.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (tan (* PI l)) F)
19.0ms	(* PI l)
20.0ms	(* PI l)
67.0ms	(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

prune202.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	16	18
Picked	0	1	1
Done	0	0	0
Total	84	19	103

Merged error: 12.5b

Counts

103 → 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` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 74

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))

series655.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (/ 1.0 F))
194.0ms	(cbrt (/ 1.0 F))
202.0ms	(cbrt (/ 1.0 F))
62.0ms	(tan (* PI l))

simplify125.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	146	463
1	309	443
2	947	437
3	3623	431
4	5001	431

prune242.0ms

Filtered

86 candidates to 72 candidates (83.7%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	17	17
Picked	0	1	1
Done	0	1	1
Total	85	20	105

Merged error: 12.5b

Counts

105 → 20

regimes371.0ms

Accuracy

0% (0.3b remaining)

Error of 12.6b against oracle of 12.4b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.5s	819×	body	2560	valid
945.0ms	1663×	body	1280	valid
254.0ms	972×	body	640	valid
227.0ms	4474×	body	80	valid
78.0ms	407×	body	320	valid
29.0ms	251×	body	160	valid
1.0ms	3×	body	5120	exit