Details

sample383.0ms

Algorithm

intervals

Results

70.0ms	24×	body	2560	valid
30.0ms	53×	body	1280	valid
8.0ms	33×	body	640	valid
8.0ms	152×	body	80	valid
1.0ms	10×	body	160	valid
1.0ms	4×	body	320	valid

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.0b	(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:

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

series279.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
27.0ms	(/ 1.0 (* F F))
142.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
89.0ms	(tan (* PI l))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

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

prune258.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 12.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
28.0b	(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:

4.0ms	(* PI l)
4.0ms	(* PI l)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series239.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
20.0ms	(* PI l)
129.0ms	(* (/ 1.0 F) (tan (* PI l)))
69.0ms	(tan (* PI l))

simplify88.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (82.0ms)

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

prune284.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.0b

localize16.0ms

Local error

Found 4 expressions with local error:

9.5b	(cbrt (* (/ 1.0 F) (tan (* PI l))))
28.0b	(tan (* PI l))
28.0b	(tan (* PI l))
28.0b	(tan (* PI l))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`tan-quot`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div`
1×	`cbrt-prod` `frac-times` `pow1/3` `associate-r/` `associate-l/`

Counts

4 → 44

Calls

4 calls:

5.0ms	(cbrt (* (/ 1.0 F) (tan (* PI l))))
2.0ms	(tan (* PI l))
2.0ms	(tan (* PI l))
2.0ms	(tan (* PI l))

series488.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt (* (/ 1.0 F) (tan (* PI l))))
67.0ms	(tan (* PI l))
67.0ms	(tan (* PI l))
68.0ms	(tan (* PI l))

simplify54.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	182	324
1	467	298
2	1725	291
3	5001	284

prune268.0ms

Filtered

56 candidates to 49 candidates (87.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 12.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* PI l))
0.6b	(cbrt (* PI l))
0.6b	(cbrt (* PI l))
28.2b	(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`tan-quot`

Counts

4 → 43

Calls

4 calls:

2.0ms	(cbrt (* PI l))
2.0ms	(cbrt (* PI l))
2.0ms	(cbrt (* PI l))
4.0ms	(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

series765.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (* PI l))
224.0ms	(cbrt (* PI l))
225.0ms	(cbrt (* PI l))
92.0ms	(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

simplify96.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	123	328
1	268	291
2	809	259
3	3190	253
4	5002	253

prune175.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 12.0b

regimes498.0ms

Accuracy

0% (0.5b remaining)

Error of 12.6b against oracle of 12.1b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	21
1	21	21

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.4s	818×	body	2560	valid
960.0ms	1715×	body	1280	valid
239.0ms	959×	body	640	valid
194.0ms	4472×	body	80	valid
62.0ms	401×	body	320	valid
23.0ms	217×	body	160	valid
3.0ms	7×	body	10240	exit