Details

sample382.0ms

Algorithm

intervals

Results

73.0ms	25×	body	2560	valid
30.0ms	52×	body	1280	valid
9.0ms	35×	body	640	valid
8.0ms	142×	body	80	valid
2.0ms	12×	body	320	valid
1.0ms	7×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 17.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
5.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.5b	(tan (* PI l))

rewrite25.0ms

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

series262.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
23.0ms	(/ 1.0 (* F F))
135.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
85.0ms	(tan (* PI l))

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune195.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 11.7b

Counts

90 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.4b	(* (/ 1.0 F) (tan (* PI l)))
30.5b	(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)
4.0ms	(* PI l)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series224.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
19.0ms	(* PI l)
119.0ms	(* (/ 1.0 F) (tan (* PI l)))
64.0ms	(tan (* PI l))

simplify87.0ms

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

prune231.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	76	14	90
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	79	21	100

Merged error: 11.6b

Counts

100 → 21

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
30.5b	(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))

series200.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (tan (* PI l)) F)
19.0ms	(* PI l)
19.0ms	(* PI l)
64.0ms	(tan (* PI l))

simplify63.0ms

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

prune206.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	83	22	105

Merged error: 11.6b

Counts

105 → 22

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.6b	(/ 1 (/ F (tan (* PI l))))
30.5b	(tan (* PI l))

rewrite24.0ms

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×	`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 → 124

Calls

4 calls:

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

series216.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
116.0ms	(/ 1 (/ F (tan (* PI l))))
61.0ms	(tan (* PI l))

simplify46.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	421	878
1	1678	781
2	5001	693

prune198.0ms

Filtered

136 candidates to 73 candidates (53.7%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	21	21
Picked	0	1	1
Done	0	0	0
Total	135	23	158

Merged error: 11.6b

Counts

158 → 23

regimes412.0ms

Accuracy

0% (0.3b remaining)

Error of 12.7b against oracle of 12.4b and baseline of 12.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	833×	body	2560	valid
923.0ms	1650×	body	1280	valid
241.0ms	981×	body	640	valid
209.0ms	4533×	body	80	valid
66.0ms	403×	body	320	valid
22.0ms	215×	body	160	valid
2.0ms	4×	body	10240	exit