Details

sample379.0ms

Algorithm

intervals

Results

65.0ms	21×	body	2560	valid
38.0ms	54×	body	1280	valid
10.0ms	24×	body	640	valid
10.0ms	154×	body	80	valid
3.0ms	12×	body	320	valid
1.0ms	7×	body	160	valid

simplify18.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
5.8b	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.0b	(tan (* PI l))

rewrite40.0ms

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))

series252.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
136.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
72.0ms	(tan (* PI l))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

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

prune222.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
27.0b	(tan (* PI l))

rewrite21.0ms

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)
3.0ms	(* PI l)
11.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series224.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
19.0ms	(* PI l)
119.0ms	(* (/ 1.0 F) (tan (* PI l)))
64.0ms	(tan (* PI l))

simplify85.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	277	382
1	1009	342
2	3834	341
3	5001	341

prune253.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
27.1b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot` `associate-r` `*-commutative`

Counts

4 → 55

Calls

4 calls:

12.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
5.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series86.0ms

Counts

4 → 8

Calls

4 calls:

23.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
62.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify154.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	150	236
1	482	202
2	1448	202
3	4933	202
4	5002	202

prune216.0ms

Filtered

63 candidates to 46 candidates (73.0%)

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.8b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
27.1b	(tan (* (sqrt (sqrt PI)) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot`

Counts

4 → 47

Calls

4 calls:

1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
13.0ms	(tan (* (sqrt (sqrt PI)) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

series70.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
70.0ms	(tan (* (sqrt (sqrt PI)) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

simplify162.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	90	235
1	222	202
2	826	202
3	4647	202
4	5001	202

prune180.0ms

Filtered

53 candidates to 42 candidates (79.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.8b

regimes414.0ms

Accuracy

0% (0.3b remaining)

Error of 12.4b against oracle of 12.1b and baseline of 12.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	19
1	26	19

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.5s	814×	body	2560	valid
1.2s	1673×	body	1280	valid
344.0ms	951×	body	640	valid
294.0ms	4570×	body	80	valid
75.0ms	341×	body	320	valid
47.0ms	2×	body	10240	exit
34.0ms	225×	body	160	valid