Details

sample386.0ms

Algorithm

intervals

Results

92.0ms	30×	body	2560	valid
24.0ms	40×	body	1280	valid
10.0ms	164×	body	80	valid
6.0ms	23×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	5×	body	160	valid

simplify22.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 16.4b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.4b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
26.1b	(tan (* PI l))

rewrite23.0ms

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)
4.0ms	(/ 1.0 (* F F))
9.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series270.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
138.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
88.0ms	(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

prune233.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	85	12	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	12	98

Merged error: 11.8b

Counts

98 → 12

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)))
26.1b	(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)
10.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series225.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
127.0ms	(* (/ 1.0 F) (tan (* PI l)))
60.0ms	(tan (* PI l))

simplify87.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (81.0ms)

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

prune236.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	96	14	110

Merged error: 11.7b

Counts

110 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ (tan (* PI l)) F)
26.1b	(tan (* PI l))

rewrite15.0ms

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:

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

series209.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
19.0ms	(* PI l)
101.0ms	(/ (tan (* PI l)) F)
65.0ms	(tan (* PI l))

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (58.0ms)

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

prune207.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	92	14	106

Merged error: 11.7b

Counts

106 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
26.3b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot` `associate-r` `*-commutative`

Counts

4 → 63

Calls

4 calls:

7.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
2.0ms	(sqrt PI)
3.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series89.0ms

Counts

4 → 8

Calls

4 calls:

21.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
68.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	158	264
1	501	230
2	1518	229
3	5001	229

prune169.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	68	17	85

Merged error: 11.7b

Counts

85 → 17

regimes331.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.3s	761×	body	2560	valid
961.0ms	1667×	body	1280	valid
258.0ms	959×	body	640	valid
231.0ms	4590×	body	80	valid
77.0ms	417×	body	320	valid
30.0ms	236×	body	160	valid
2.0ms	4×	body	5120	exit