Details

sample487.0ms

Algorithm

intervals

Results

75.0ms	24×	body	2560	valid
42.0ms	60×	body	1280	valid
36.0ms	31×	body	640	valid
11.0ms	146×	body	80	valid
4.0ms	17×	body	320	valid
1.0ms	4×	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: 17.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
5.3b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.9b	(tan (* PI l))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `times-frac` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
2×	`cbrt-undiv` `div-exp`
1×	`frac-times` `associate-r/` `associate-l/` `div-inv`

Counts

4 → 82

Calls

4 calls:

6.0ms	(* PI l)
6.0ms	(* PI l)
48.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series240.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
19.0ms	(* PI l)
124.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
74.0ms	(tan (* PI l))

simplify41.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	315	426
1	1421	368
2	5002	367

prune248.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
30.9b	(tan (* PI l))

rewrite61.0ms

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)
37.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series255.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* PI l)
18.0ms	(* PI l)
157.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
62.0ms	(tan (* PI l))

simplify95.0ms

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

prune367.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ (* (sin (* PI l)) (cbrt 1.0)) (* (cos (* PI l)) F))
30.4b	(cos (* PI l))
30.6b	(sin (* 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:

7.0ms	(* PI l)
25.0ms	(/ (* (sin (* PI l)) (cbrt 1.0)) (* (cos (* PI l)) F))
7.0ms	(cos (* PI l))
10.0ms	(sin (* PI l))

series247.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* PI l)
188.0ms	(/ (* (sin (* PI l)) (cbrt 1.0)) (* (cos (* PI l)) F))
16.0ms	(cos (* PI l))
25.0ms	(sin (* PI l))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	347	463
1	1605	372
2	5001	371

prune284.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.1b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(* (cbrt PI) (cbrt PI))
30.0b	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
30.6b	(sin (* PI l))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`cbrt-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
7×	`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×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt PI)
11.0ms	(* (cbrt PI) (cbrt PI))
34.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
7.0ms	(sin (* PI l))

series41.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(* (cbrt PI) (cbrt PI))
20.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
21.0ms	(sin (* PI l))

simplify138.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	187	382
1	694	343
2	3475	326
3	5002	318

prune283.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.1b

regimes493.0ms

Accuracy

88.3% (0.6b remaining)

Error of 8.5b against oracle of 8.0b and baseline of 12.8b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	67
1	70	67

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	819×	body	2560	valid
1.2s	1685×	body	1280	valid
342.0ms	918×	body	640	valid
296.0ms	4570×	body	80	valid
97.0ms	411×	body	320	valid
70.0ms	3×	body	10240	exit
34.0ms	219×	body	160	valid