Details

sample429.0ms

Algorithm

intervals

Results

96.0ms	30×	body	2560	valid
38.0ms	54×	body	1280	valid
12.0ms	35×	body	640	valid
9.0ms	139×	body	80	valid
3.0ms	13×	body	320	valid
1.0ms	8×	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.1b	(tan (* PI l))

rewrite44.0ms

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))
15.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series253.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
136.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
72.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (36.0ms)

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

prune247.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 14.6b

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)))
32.1b	(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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 86

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
11.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series234.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
129.0ms	(* (/ 1.0 F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify91.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	286	403
1	1032	363
2	3928	361
3	5001	360

prune294.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.4b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(cbrt PI)
1.0b	(cbrt PI)
32.1b	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

rewrite15.0ms

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 PI)
0.0ms	(cbrt PI)
1.0ms	(cbrt PI)
9.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

series66.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
66.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

simplify103.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	90	243
1	202	219
2	641	203
3	3118	203
4	5002	203

prune240.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt l)
0.5b	(cbrt l)
0.5b	(* (cbrt l) (cbrt l))
32.4b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite20.0ms

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 l)
0.0ms	(cbrt l)
6.0ms	(* (cbrt l) (cbrt l))
11.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series649.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt l)
182.0ms	(cbrt l)
199.0ms	(* (cbrt l) (cbrt l))
90.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify151.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	187	394
1	722	355
2	4293	325
3	5001	325

prune286.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 14.4b

regimes487.0ms

Accuracy

0% (0.6b remaining)

Error of 12.7b against oracle of 12.1b and baseline of 12.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	32
1	27	32

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.5s	809×	body	2560	valid
1.2s	1668×	body	1280	valid
336.0ms	959×	body	640	valid
312.0ms	4600×	body	80	valid
92.0ms	372×	body	320	valid
69.0ms	3×	body	10240	exit
34.0ms	222×	body	160	valid