Details

sample373.0ms

Algorithm

intervals

Results

74.0ms	25×	body	2560	valid
27.0ms	55×	body	1280	valid
8.0ms	146×	body	80	valid
7.0ms	27×	body	640	valid
2.0ms	15×	body	320	valid
0.0ms	4×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	39	7
2	76	7
3	114	7
4	137	7
5	144	7
6	144	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

localize12.0ms

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))

rewrite24.0ms

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` `div-exp` `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 → 77

Calls

4 calls:

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

series262.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
133.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
87.0ms	(tan (* PI l))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	323	443
1	1416	374
2	5001	374

prune202.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	77	12	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	13	90

Merged error: 10.4b

Counts

90 → 13

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))

rewrite18.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 78

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series223.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
22.0ms	(* PI l)
118.0ms	(* (/ 1.0 F) (tan (* PI l)))
63.0ms	(tan (* PI l))

simplify86.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	382
1	1009	342
2	3834	341
3	5001	341

prune214.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	2	9	11
Picked	1	0	1
Done	1	0	1
Total	85	18	103

Merged error: 10.3b

Counts

103 → 18

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))

rewrite25.0ms

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×	`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 → 89

Calls

4 calls:

11.0ms	(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
3.0ms	(* PI l)
6.0ms	(* PI l)
2.0ms	(tan (* PI l))

series229.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
19.0ms	(* PI l)
23.0ms	(* PI l)
60.0ms	(tan (* PI l))

simplify60.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	406	553
1	2199	441
2	5002	434

prune197.0ms

Filtered

101 candidates to 61 candidates (60.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	101	18	119

Merged error: 10.3b

Counts

119 → 18

localize10.0ms

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×	`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 → 72

Calls

4 calls:

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (tan (* PI l)) F)
19.0ms	(* PI l)
19.0ms	(* PI l)
65.0ms	(tan (* PI l))

simplify64.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	203	349
1	665	322
2	2215	322
3	5001	322

prune162.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	85	17	102

Merged error: 10.3b

Counts

102 → 17

regimes322.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.4s	817×	body	2560	valid
884.0ms	1637×	body	1280	valid
242.0ms	976×	body	640	valid
197.0ms	4554×	body	80	valid
58.0ms	382×	body	320	valid
21.0ms	210×	body	160	valid
2.0ms	5×	body	10240	exit