Details

sample423.0ms

Algorithm

intervals

Results

86.0ms	27×	body	2560	valid
38.0ms	47×	body	1280	valid
16.0ms	156×	body	80	valid
12.0ms	29×	body	640	valid
5.0ms	18×	body	320	valid
1.0ms	4×	body	160	valid

simplify17.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
1.5b	(/ 1.0 (* F F))
3.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.3b	(tan (* PI l))

rewrite39.0ms

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:

13.0ms	(* PI l)
3.0ms	(/ 1.0 (* F F))
17.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series250.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
135.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
71.0ms	(tan (* PI l))

simplify45.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

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

prune218.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
29.3b	(tan (* PI l))

rewrite25.0ms

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` `add-cbrt-cube`
10×	`pow1` `sqrt-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:

3.0ms	(* PI l)
3.0ms	(* PI l)
15.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series263.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
161.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
63.0ms	(tan (* PI l))

simplify99.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	297	498
1	1061	455
2	4012	454
3	5002	454

prune299.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(/ (tan (* PI l)) F)
29.3b	(tan (* PI l))

rewrite13.0ms

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:

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

series199.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
97.0ms	(/ (tan (* PI l)) F)
63.0ms	(tan (* PI l))

simplify62.0ms

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

prune263.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ 1 (/ F (tan (* PI l))))
0.2b	(/ F (tan (* PI l)))
29.3b	(tan (* PI l))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
59×	`add-sqr-sqrt`
57×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
17×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`tan-quot` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

3.0ms	(* PI l)
7.0ms	(/ 1 (/ F (tan (* PI l))))
3.0ms	(/ F (tan (* PI l)))
2.0ms	(tan (* PI l))

series334.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
109.0ms	(/ 1 (/ F (tan (* PI l))))
140.0ms	(/ F (tan (* PI l)))
65.0ms	(tan (* PI l))

simplify48.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	446	1028
1	1852	921
2	5001	836

prune320.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.2b

regimes196.0ms

Accuracy

0% (0.4b remaining)

Error of 8.1b against oracle of 7.8b and baseline of 8.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	14
1	24	14

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.6s	806×	body	2560	valid
1.4s	1719×	body	1280	valid
425.0ms	941×	body	640	valid
421.0ms	4519×	body	80	valid
117.0ms	5×	body	10240	exit
113.0ms	366×	body	320	valid
48.0ms	211×	body	160	valid