Details

sample465.0ms

Algorithm

intervals

Results

71.0ms	22×	body	2560	valid
64.0ms	55×	body	1280	valid
10.0ms	151×	body	80	valid
9.0ms	24×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.0b	(tan (* PI l))

rewrite77.0ms

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:

7.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
49.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series268.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
138.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
79.0ms	(tan (* PI l))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

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

prune247.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 12.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
29.0b	(tan (* PI l))

rewrite63.0ms

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×	`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:

7.0ms	(* PI l)
7.0ms	(* PI l)
36.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
11.0ms	(tan (* PI l))

series281.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
20.0ms	(* PI l)
174.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify98.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	303	519
1	1044	478
2	4000	476
3	5001	475

prune363.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ (* (cbrt 1.0) (sin (* PI l))) (* F (cos (* PI l))))
28.7b	(sin (* PI l))
28.8b	(cos (* PI l))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
16×	`add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

9.0ms	(* PI l)
26.0ms	(/ (* (cbrt 1.0) (sin (* PI l))) (* F (cos (* PI l))))
7.0ms	(sin (* PI l))
7.0ms	(cos (* PI l))

series265.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
203.0ms	(/ (* (cbrt 1.0) (sin (* PI l))) (* F (cos (* PI l))))
23.0ms	(sin (* PI l))
18.0ms	(cos (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	353	462
1	1665	371
2	5002	370

prune274.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
28.9b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite55.0ms

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:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
52.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series627.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt l)
184.0ms	(cbrt l)
179.0ms	(cbrt l)
87.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify202.0ms

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

prune232.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.8b

regimes476.0ms

Accuracy

73.6% (1.3b remaining)

Error of 9.2b against oracle of 7.9b and baseline of 12.9b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	59
1	69	59

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	829×	body	2560	valid
1.2s	1684×	body	1280	valid
325.0ms	950×	body	640	valid
291.0ms	4502×	body	80	valid
82.0ms	379×	body	320	valid
70.0ms	3×	body	10240	exit
35.0ms	234×	body	160	valid