Details

sample375.0ms

Algorithm

intervals

Results

71.0ms	24×	body	2560	valid
30.0ms	53×	body	1280	valid
8.0ms	33×	body	640	valid
8.0ms	152×	body	80	valid
1.0ms	10×	body	160	valid
1.0ms	4×	body	320	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: 16.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.0b	(tan (* PI l))

rewrite23.0ms

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)
5.0ms	(/ 1.0 (* F F))
9.0ms	(* (/ 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))
138.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
80.0ms	(tan (* PI l))

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

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

prune230.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 12.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
28.0b	(tan (* PI l))

rewrite20.0ms

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)
9.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series271.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(* PI l)
161.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
67.0ms	(tan (* PI l))

simplify96.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (26.0ms)

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

prune301.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
28.0b	(tan (* PI l))

rewrite18.0ms

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)
6.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(tan (* PI l))

series206.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (tan (* PI l)) F)
19.0ms	(* PI l)
25.0ms	(* PI l)
61.0ms	(tan (* PI l))

simplify61.0ms

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

prune272.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.4b	(/ 1 (/ F (tan (* PI l))))
28.0b	(tan (* PI l))

rewrite20.0ms

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

series224.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
20.0ms	(* PI l)
113.0ms	(/ 1 (/ F (tan (* PI l))))
66.0ms	(tan (* PI l))

simplify43.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (34.0ms)

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

prune270.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 12.0b

regimes356.0ms

Accuracy

0% (0.3b remaining)

Error of 12.4b against oracle of 12.1b and baseline of 12.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	11
1	19	11

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.4s	818×	body	2560	valid
962.0ms	1715×	body	1280	valid
240.0ms	959×	body	640	valid
201.0ms	4472×	body	80	valid
63.0ms	401×	body	320	valid
23.0ms	217×	body	160	valid
3.0ms	7×	body	10240	exit