Details

sample412.0ms

Algorithm

intervals

Results

213.0ms	142×	body	80	valid
67.0ms	20×	body	2560	valid
47.0ms	2×	body	10240	exit
45.0ms	51×	body	1280	valid
14.0ms	30×	body	640	valid
9.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify17.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.0b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.9b	(tan (* PI l))

rewrite28.0ms

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)
3.0ms	(/ 1.0 (* F F))
16.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series57.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(/ 1.0 (* F F))
33.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
20.0ms	(tan (* PI l))

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune561.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.5b

localize13.0ms

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)))
29.9b	(tan (* PI l))

rewrite27.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 88

Calls

4 calls:

5.0ms	(* PI l)
3.0ms	(* PI l)
15.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series37.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(* PI l)
24.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
10.0ms	(tan (* PI l))

simplify91.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	294	496
1	1023	455
2	3911	454
3	5001	451

prune913.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
28.8b	(cos (* PI l))
29.4b	(sin (* PI l))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 50

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
3.0ms	(cos (* PI l))
2.0ms	(sin (* PI l))

series9.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(* PI l)
2.0ms	(cos (* PI l))
3.0ms	(sin (* PI l))

simplify110.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	154	181
1	584	163
2	2960	163
3	5002	163

prune631.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (cbrt 1.0) F))
0.6b	(cbrt (/ (cbrt 1.0) F))
0.6b	(cbrt (/ (cbrt 1.0) F))
29.9b	(tan (* PI l))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
54×	`times-frac`
43×	`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 → 101

Calls

4 calls:

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

series56.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (/ (cbrt 1.0) F))
17.0ms	(cbrt (/ (cbrt 1.0) F))
16.0ms	(cbrt (/ (cbrt 1.0) F))
10.0ms	(tan (* PI l))

simplify115.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 4 (106.0ms)

Iter	Nodes	Cost
0	204	868
1	415	842
2	1097	824
3	3690	791
4	5001	779

prune1.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.8b

regimes1.3s

Accuracy

85.3% (0.7b remaining)

Error of 8.4b against oracle of 7.7b and baseline of 12.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	41
1	59	41

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.5s	776×	body	2560	valid
1.5s	1747×	body	1280	valid
441.0ms	938×	body	640	valid
437.0ms	4476×	body	80	valid
135.0ms	424×	body	320	valid
118.0ms	5×	body	10240	exit
41.0ms	193×	body	160	valid