Details

sample448.0ms

Algorithm

intervals

Results

86.0ms	26×	body	2560	valid
44.0ms	51×	body	1280	valid
24.0ms	1×	body	10240	exit
22.0ms	162×	body	80	valid
13.0ms	28×	body	640	valid
3.0ms	8×	body	320	valid
0.0ms	2×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
3.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.3b	(tan (* PI l))

rewrite29.0ms

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))

series266.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
136.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
81.0ms	(tan (* PI l))

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune233.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 11.3b

localize11.0ms

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)))
27.3b	(tan (* PI l))

rewrite27.0ms

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)
16.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series282.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
20.0ms	(* PI l)
170.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
68.0ms	(tan (* PI l))

simplify101.0ms

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

prune316.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
27.3b	(tan (* PI l))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

7.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
3.0ms	(* PI l)
3.0ms	(* PI l)
2.0ms	(tan (* PI l))

series287.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
20.0ms	(* PI l)
20.0ms	(* PI l)
68.0ms	(tan (* PI l))

simplify34.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	258	339
1	1081	299
2	5001	299

prune258.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.6b	(/ (sqrt 1.0) (/ F (tan (* PI l))))
27.3b	(tan (* PI l))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
91×	`add-sqr-sqrt`
87×	`add-cube-cbrt` `*-un-lft-identity`
45×	`sqrt-prod`
14×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
8×	`tan-quot` `pow1` `associate-/r/` `div-inv`
6×	`associate-r` `associate-l` `associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`frac-2neg` `clear-num`

Counts

4 → 163

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))

series282.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
20.0ms	(* PI l)
173.0ms	(/ (sqrt 1.0) (/ F (tan (* PI l))))
69.0ms	(tan (* PI l))

simplify66.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	557	1580
1	2178	1510
2	5001	1507

prune448.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 11.2b

regimes421.0ms

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	11
1	18	11

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.6s	816×	body	2560	valid
1.5s	1686×	body	1280	valid
553.0ms	4651×	body	80	valid
410.0ms	875×	body	640	valid
128.0ms	393×	body	320	valid
94.0ms	4×	body	10240	exit
44.0ms	198×	body	160	valid