Details

sample377.0ms

Algorithm

intervals

Results

74.0ms	25×	body	2560	valid
28.0ms	55×	body	1280	valid
8.0ms	146×	body	80	valid
6.0ms	27×	body	640	valid
2.0ms	15×	body	320	valid
0.0ms	4×	body	160	valid

simplify23.0ms

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: 14.4b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.9b	(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))

series275.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
26.0ms	(/ 1.0 (* F F))
139.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
89.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (37.0ms)

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

prune234.0ms

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: 10.4b

Counts

98 → 12

localize11.0ms

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:

6.0ms	(* PI l)
4.0ms	(* PI l)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series235.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
21.0ms	(* PI l)
129.0ms	(* (/ 1.0 F) (tan (* PI l)))
65.0ms	(tan (* PI l))

simplify92.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (86.0ms)

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

prune250.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	88	10	98
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	93	17	110

Merged error: 10.3b

Counts

110 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
0.3b	(* PI l)
0.3b	(* PI l)
29.9b	(tan (* PI l))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
29×	`add-cbrt-cube`
22×	`prod-exp`
19×	`add-sqr-sqrt` `associate-l`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
12×	`cbrt-unprod`
10×	`div-exp`
9×	`times-frac`
7×	`associate-r`
5×	`cbrt-undiv` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-r/` `-commutative`
2×	`unswap-sqr`
1×	`tan-quot` `frac-times` `associate-*l/` `div-inv`

Counts

4 → 97

Calls

4 calls:

10.0ms	(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
3.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(tan (* PI l))

series247.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
23.0ms	(* PI l)
20.0ms	(* PI l)
66.0ms	(tan (* PI l))

simplify60.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	415	578
1	2222	466
2	5002	458

prune232.0ms

Filtered

109 candidates to 69 candidates (63.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	109	17	126

Merged error: 10.3b

Counts

126 → 17

localize9.0ms

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))

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:

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

series216.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (tan (* PI l)) F)
20.0ms	(* PI l)
21.0ms	(* PI l)
70.0ms	(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

prune187.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	93	16	109

Merged error: 10.3b

Counts

109 → 16

regimes314.0ms

Accuracy

0% (0.5b remaining)

Error of 12.6b against oracle of 12.1b and baseline of 12.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.4s	817×	body	2560	valid
886.0ms	1637×	body	1280	valid
237.0ms	976×	body	640	valid
205.0ms	4554×	body	80	valid
58.0ms	382×	body	320	valid
22.0ms	210×	body	160	valid
2.0ms	5×	body	10240	exit