Details

sample376.0ms

Algorithm

intervals

Results

62.0ms	21×	body	2560	valid
27.0ms	49×	body	1280	valid
8.0ms	34×	body	640	valid
7.0ms	156×	body	80	valid
2.0ms	13×	body	320	valid
0.0ms	3×	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 (100.0%)

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: 15.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.7b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.1b	(tan (* PI l))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

123×	`add-sqr-sqrt`
95×	`times-frac`
86×	`add-cube-cbrt` `*-un-lft-identity`
79×	`associate-l`
45×	`associate-/r*`
33×	`associate-r`
28×	`swap-sqr`
23×	`tan-quot`
21×	`frac-times` `associate-*l/`
20×	`add-exp-log` `add-cbrt-cube`
17×	`unswap-sqr`
12×	`*-commutative`
9×	`associate-/l*`
8×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-prod-down` `div-inv`
1×	`associate-*r/`

Counts

4 → 227

Calls

4 calls:

3.0ms	(* PI l)
21.0ms	(/ 1.0 (* F F))
20.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
5.0ms	(tan (* PI l))

series262.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
135.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
79.0ms	(tan (* PI l))

simplify92.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	688	1354
1	3470	1268
2	5001	1253

prune412.0ms

Filtered

239 candidates to 159 candidates (33.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	228	11	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	229	11	240

Merged error: 10.3b

Counts

240 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 1.0 (tan (* PI l))) F)
0.2b	(* PI l)
0.2b	(* PI l)
28.1b	(tan (* PI l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

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

series215.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (* 1.0 (tan (* PI l))) F)
22.0ms	(* PI l)
19.0ms	(* PI l)
64.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	406	712
1	1698	672
2	5001	671

prune275.0ms

Filtered

130 candidates to 97 candidates (25.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	118	12	130
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	123	18	141

Merged error: 10.2b

Counts

141 → 18

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* 1.0 (tan (* PI l))))
28.1b	(tan (* PI l))
28.1b	(tan (* PI l))
28.1b	(tan (* PI l))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`tan-quot` `pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`cbrt-div` `pow1/3` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 53

Calls

4 calls:

6.0ms	(cbrt (* 1.0 (tan (* PI l))))
3.0ms	(tan (* PI l))
4.0ms	(tan (* PI l))
3.0ms	(tan (* PI l))

series443.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt (* 1.0 (tan (* PI l))))
62.0ms	(tan (* PI l))
65.0ms	(tan (* PI l))
66.0ms	(tan (* PI l))

simplify86.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	188	388
1	589	364
2	2549	356
3	5001	349

prune221.0ms

Filtered

65 candidates to 54 candidates (16.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	1	16	17
Picked	0	1	1
Done	0	0	0
Total	64	19	83

Merged error: 10.2b

Counts

83 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
27.7b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite24.0ms

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)
19.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series618.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt l)
177.0ms	(cbrt l)
171.0ms	(cbrt l)
87.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify175.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	109	258
1	264	234
2	871	218
3	4550	218
4	5001	218

prune160.0ms

Filtered

61 candidates to 53 candidates (13.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	3	14	17
Picked	1	0	1
Done	0	1	1
Total	59	21	80

Merged error: 10.2b

Counts

80 → 21

regimes382.0ms

Accuracy

0% (0.5b 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	15	18
1	15	18

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	835×	body	2560	valid
930.0ms	1678×	body	1280	valid
226.0ms	940×	body	640	valid
208.0ms	4540×	body	80	valid
57.0ms	370×	body	320	valid
21.0ms	200×	body	160	valid
2.0ms	5×	body	10240	exit