Details

sample413.0ms

Algorithm

intervals

Results

84.0ms	28×	body	2560	valid
42.0ms	56×	body	1280	valid
10.0ms	28×	body	640	valid
10.0ms	145×	body	80	valid
3.0ms	14×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
5.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.5b	(tan (* PI l))

rewrite39.0ms

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))

series250.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
134.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
71.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune221.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
31.5b	(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)
12.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series229.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
19.0ms	(* PI l)
121.0ms	(* (/ 1.0 F) (tan (* PI l)))
64.0ms	(tan (* PI l))

simplify95.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (28.0ms)

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

prune259.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 13.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
31.3b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

0.0ms	(cbrt l)
0.0ms	(cbrt l)
1.0ms	(cbrt l)
11.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt l)
174.0ms	(cbrt l)
175.0ms	(cbrt l)
86.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify233.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	105	232
1	261	208
2	864	192
3	4698	192
4	5002	192

prune237.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.5b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(cbrt PI)
1.0b	(cbrt PI)
31.5b	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
1.0ms	(cbrt PI)
8.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

series69.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
69.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

simplify111.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	84	217
1	187	193
2	583	177
3	2863	177
4	5002	177

prune151.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.5b

regimes452.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	818×	body	2560	valid
1.2s	1717×	body	1280	valid
331.0ms	916×	body	640	valid
324.0ms	4557×	body	80	valid
93.0ms	379×	body	320	valid
69.0ms	3×	body	10240	exit
41.0ms	226×	body	160	valid