Details

sample415.0ms

Algorithm

intervals

Results

94.0ms	30×	body	2560	valid
30.0ms	56×	body	1280	valid
8.0ms	139×	body	80	valid
7.0ms	29×	body	640	valid
3.0ms	18×	body	320	valid
0.0ms	3×	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: 17.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
3.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.4b	(tan (* PI l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r`
6×	`prod-exp` `cbrt-unprod`
4×	`times-frac` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
2×	`cbrt-undiv` `div-exp`
1×	`frac-times` `associate-r/` `associate-l/` `div-inv`

Counts

4 → 74

Calls

4 calls:

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

series264.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
20.0ms	(* PI l)
138.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
87.0ms	(tan (* PI l))

simplify42.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	306	403
1	1397	345
2	5002	345

prune239.0ms

Filtered

86 candidates to 58 candidates (67.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	68	18	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	18	87

Merged error: 13.3b

Counts

87 → 18

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
31.4b	(tan (* PI l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`pow1` `cbrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 88

Calls

4 calls:

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

series268.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
22.0ms	(* PI l)
161.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify98.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	294	496
1	1023	455
2	3911	454
3	5001	451

prune355.0ms

Filtered

100 candidates to 74 candidates (74.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	85	15	100
Fresh	12	5	17
Picked	1	0	1
Done	0	0	0
Total	98	20	118

Merged error: 13.3b

Counts

118 → 20

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
31.4b	(sin (* PI l))
31.4b	(cos (* PI l))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 50

Calls

4 calls:

4.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(sin (* PI l))
2.0ms	(cos (* PI l))

series83.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
19.0ms	(* PI l)
26.0ms	(sin (* PI l))
17.0ms	(cos (* PI l))

simplify113.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	154	181
1	582	163
2	2958	163
3	5002	163

prune249.0ms

Filtered

62 candidates to 42 candidates (67.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	6	13	19
Picked	1	0	1
Done	0	0	0
Total	64	18	82

Merged error: 7.9b

Counts

82 → 18

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.0b	(cos (* (sqrt PI) (* (sqrt PI) l)))
31.4b	(sin (* PI l))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 40

Calls

4 calls:

2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
3.0ms	(cos (* (sqrt PI) (* (sqrt PI) l)))
2.0ms	(sin (* PI l))

series45.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
19.0ms	(cos (* (sqrt PI) (* (sqrt PI) l)))
26.0ms	(sin (* PI l))

simplify75.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	127	177
1	422	158
2	1913	158
3	5002	154

prune189.0ms

Filtered

48 candidates to 38 candidates (79.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	48	18	66

Merged error: 7.9b

Counts

66 → 18

regimes529.0ms

Accuracy

76.1% (1.1b remaining)

Error of 8.9b against oracle of 7.7b and baseline of 12.5b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	54
1	70	54

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	840×	body	2560	valid
889.0ms	1640×	body	1280	valid
228.0ms	927×	body	640	valid
201.0ms	4573×	body	80	valid
64.0ms	417×	body	320	valid
23.0ms	220×	body	160	valid
3.0ms	7×	body	10240	exit