Details

sample421.0ms

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

simplify21.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize13.0ms

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

series251.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
136.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
71.0ms	(tan (* PI l))

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	334	468
1	1442	399
2	5001	398

prune254.0ms

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	(* (/ (sqrt 1.0) F) (tan (* PI l)))
31.5b	(tan (* PI l))

rewrite30.0ms

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` `add-cbrt-cube`
10×	`pow1` `sqrt-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:

6.0ms	(* PI l)
3.0ms	(* PI l)
16.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series267.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
19.0ms	(* PI l)
164.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
62.0ms	(tan (* PI l))

simplify102.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	305	522
1	1082	478
2	4101	476
3	5001	475

prune344.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 13.5b

localize16.0ms

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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 49

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)))

series607.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt l)
175.0ms	(cbrt l)
174.0ms	(cbrt l)
86.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify205.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	111	258
1	276	234
2	926	218
3	4988	218
4	5001	218

prune300.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.5b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`tan-quot` `pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
6.0ms	(* (cbrt PI) (cbrt PI))
9.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

series68.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
0.0ms	(* (cbrt PI) (cbrt PI))
67.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

simplify54.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	142	388
1	469	353
2	1758	323
3	5001	320

prune260.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.5b

regimes515.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

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
324.0ms	916×	body	640	valid
304.0ms	4557×	body	80	valid
86.0ms	379×	body	320	valid
71.0ms	3×	body	10240	exit
36.0ms	226×	body	160	valid