Details

sample396.0ms

Algorithm

intervals

Results

64.0ms	21×	body	2560	valid
39.0ms	54×	body	1280	valid
11.0ms	144×	body	80	valid
11.0ms	32×	body	640	valid
4.0ms	16×	body	320	valid
1.0ms	5×	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.5b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.2b	(tan (* PI l))

rewrite38.0ms

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))
17.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series255.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
138.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
73.0ms	(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

prune228.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
31.2b	(tan (* PI l))

rewrite22.0ms

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)
12.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series231.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
20.0ms	(* PI l)
123.0ms	(* (/ 1.0 F) (tan (* PI l)))
65.0ms	(tan (* PI l))

simplify83.0ms

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

prune267.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.4b

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)
31.1b	(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:

11.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
8.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series88.0ms

Counts

4 → 8

Calls

4 calls:

24.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
64.0ms	(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

prune227.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.4b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.1b	(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))))

series71.0ms

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))))

simplify164.0ms

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

prune187.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 10.4b

regimes427.0ms

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	25	15
1	25	15

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	801×	body	2560	valid
1.2s	1682×	body	1280	valid
365.0ms	992×	body	640	valid
313.0ms	4533×	body	80	valid
93.0ms	4×	body	10240	exit
93.0ms	400×	body	320	valid
32.0ms	203×	body	160	valid