Details

sample389.0ms

Algorithm

intervals

Results

87.0ms	29×	body	2560	valid
30.0ms	55×	body	1280	valid
7.0ms	26×	body	640	valid
6.0ms	145×	body	80	valid
2.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify20.0ms

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: 17.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
4.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.9b	(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` `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)
4.0ms	(/ 1.0 (* F F))
9.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series278.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
144.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
88.0ms	(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

prune263.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
30.9b	(tan (* PI l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`pow1` `cbrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 96

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
8.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series285.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
20.0ms	(* PI l)
175.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
64.0ms	(tan (* PI l))

simplify93.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	303	519
1	1044	478
2	4000	476
3	5001	475

prune374.0ms

Filtered

108 candidates to 82 candidates (75.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 13.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
30.9b	(tan (* PI l))

rewrite19.0ms

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:

8.0ms	(/ (tan (* PI l)) F)
3.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(tan (* PI l))

series220.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ (tan (* PI l)) F)
21.0ms	(* PI l)
27.0ms	(* PI l)
64.0ms	(tan (* PI l))

simplify66.0ms

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

prune323.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.1b

localize23.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (/ (tan (* PI l)) F))
30.9b	(tan (* PI l))
30.9b	(tan (* PI l))
30.9b	(tan (* PI l))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 54

Calls

4 calls:

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

series398.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (/ (tan (* PI l)) F))
71.0ms	(tan (* PI l))
72.0ms	(tan (* PI l))
65.0ms	(tan (* PI l))

simplify58.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	205	426
1	534	402
2	2047	390
3	5001	387

prune297.0ms

Filtered

66 candidates to 57 candidates (86.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 13.1b

regimes419.0ms

Accuracy

0% (0.4b remaining)

Error of 12.5b against oracle of 12.1b and baseline of 12.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	23
1	20	23

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	830×	body	2560	valid
898.0ms	1654×	body	1280	valid
239.0ms	969×	body	640	valid
197.0ms	4610×	body	80	valid
63.0ms	406×	body	320	valid
21.0ms	202×	body	160	valid
2.0ms	6×	body	10240	exit