Details

sample403.0ms

Algorithm

intervals

Results

256.0ms	20×	body	2560	valid
48.0ms	2×	body	10240	exit
44.0ms	51×	body	1280	valid
15.0ms	142×	body	80	valid
14.0ms	30×	body	640	valid
9.0ms	20×	body	320	valid
1.0ms	7×	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.0b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.9b	(tan (* PI l))

rewrite28.0ms

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))

series56.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(/ 1.0 (* F F))
32.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
20.0ms	(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

prune638.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
29.9b	(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)
12.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series37.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(* PI l)
24.0ms	(* (/ 1.0 F) (tan (* PI l)))
10.0ms	(tan (* PI l))

simplify84.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (78.0ms)

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

prune782.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
29.9b	(tan (* PI l))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

4.0ms	(/ (tan (* PI l)) F)
3.0ms	(* PI l)
3.0ms	(* PI l)
2.0ms	(tan (* PI l))

series33.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (tan (* PI l)) F)
2.0ms	(* PI l)
3.0ms	(* PI l)
10.0ms	(tan (* PI l))

simplify62.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	212	368
1	688	341
2	2316	339
3	5002	338

prune760.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
1.0b	(/ 1 (/ F (tan (* PI l))))
29.9b	(tan (* PI l))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
51×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
14×	`associate-/r*`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`div-exp`
6×	`associate-r` `associate-l`
5×	`tan-quot` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

4 → 132

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
7.0ms	(/ 1 (/ F (tan (* PI l))))
2.0ms	(tan (* PI l))

series35.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* PI l)
4.0ms	(* PI l)
20.0ms	(/ 1 (/ F (tan (* PI l))))
10.0ms	(tan (* PI l))

simplify45.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	429	900
1	1699	802
2	5002	713

prune774.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 11.4b

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.5s	776×	body	2560	valid
1.5s	1747×	body	1280	valid
436.0ms	938×	body	640	valid
430.0ms	4476×	body	80	valid
140.0ms	424×	body	320	valid
116.0ms	5×	body	10240	exit
42.0ms	193×	body	160	valid