Details

sample413.0ms

Algorithm

intervals

Results

90.0ms	29×	body	2560	valid
34.0ms	46×	body	1280	valid
12.0ms	152×	body	80	valid
11.0ms	29×	body	640	valid
3.0ms	11×	body	320	valid
1.0ms	6×	body	160	valid

simplify18.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.9b	(tan (* PI l))

rewrite43.0ms

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)
3.0ms	(/ 1.0 (* F F))
16.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series263.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
26.0ms	(/ 1.0 (* F F))
141.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
75.0ms	(tan (* PI l))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune228.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 14.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1.0 F) (tan (* PI l)))
0.3b	(* PI l)
0.3b	(* PI l)
28.9b	(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×	`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:

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

series241.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (/ 1.0 F) (tan (* PI l)))
21.0ms	(* PI l)
21.0ms	(* PI l)
68.0ms	(tan (* PI l))

simplify87.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (25.0ms)

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

prune261.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
28.6b	(cos (* PI l))
29.0b	(sin (* PI l))

rewrite14.0ms

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:

3.0ms	(* PI l)
7.0ms	(* PI l)
2.0ms	(cos (* PI l))
2.0ms	(sin (* PI l))

series89.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* PI l)
20.0ms	(* PI l)
18.0ms	(cos (* PI l))
24.0ms	(sin (* PI l))

simplify113.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	154	181
1	584	163
2	2960	163
3	5002	163

prune230.0ms

Filtered

62 candidates to 42 candidates (67.7%)

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 10.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
28.5b	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
29.0b	(sin (* PI l))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3`

Counts

4 → 36

Calls

4 calls:

0.0ms	(cbrt l)
1.0ms	(cbrt l)
9.0ms	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
2.0ms	(sin (* PI l))

series427.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt l)
191.0ms	(cbrt l)
30.0ms	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
24.0ms	(sin (* PI l))

simplify87.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	148	217
1	491	191
2	2191	187
3	5002	182

prune192.0ms

Filtered

48 candidates to 40 candidates (83.3%)

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 10.8b

regimes622.0ms

Accuracy

81.1% (0.9b remaining)

Error of 8.8b against oracle of 8.0b and baseline of 12.6b

bsearch6.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	46
1	66	46

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	813×	body	2560	valid
1.2s	1673×	body	1280	valid
330.0ms	921×	body	640	valid
320.0ms	4586×	body	80	valid
163.0ms	7×	body	10240	exit
96.0ms	415×	body	320	valid
31.0ms	199×	body	160	valid