Details

sample430.0ms

Algorithm

intervals

Results

85.0ms	28×	body	2560	valid
38.0ms	52×	body	1280	valid
11.0ms	136×	body	80	valid
10.0ms	30×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	9×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	41	7
2	82	7
3	122	7
4	147	7
5	157	7
6	159	7
7	159	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize12.0ms

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)))
30.8b	(tan (* PI l))

rewrite38.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 85

Calls

4 calls:

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

series256.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
138.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
73.0ms	(tan (* PI l))

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	334	468
1	1442	399
2	5001	398

prune258.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 13.8b

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)))
30.8b	(tan (* PI l))

rewrite28.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 96

Calls

4 calls:

3.0ms	(* PI l)
5.0ms	(* PI l)
15.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series271.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
23.0ms	(* PI l)
166.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
62.0ms	(tan (* PI l))

simplify101.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	305	522
1	1082	478
2	4101	476
3	5001	475

prune342.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
29.6b	(cos (* PI l))
30.1b	(sin (* PI l))

rewrite10.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

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

series84.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
22.0ms	(* PI l)
18.0ms	(cos (* PI l))
23.0ms	(sin (* PI l))

simplify111.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	162	201
1	606	181
2	3058	180
3	5002	180

prune260.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* PI l))
0.6b	(cbrt (* PI l))
30.1b	(sin (* PI l))
30.3b	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-prod` `pow1/3`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt (* PI l))
1.0ms	(cbrt (* PI l))
2.0ms	(sin (* PI l))
15.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (* PI l))
214.0ms	(cbrt (* PI l))
22.0ms	(sin (* PI l))
29.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

simplify66.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	168	299
1	485	261
2	1921	249
3	5002	238

prune200.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.9b

regimes444.0ms

Accuracy

81.6% (0.9b remaining)

Error of 8.8b against oracle of 7.9b and baseline of 13.0b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	53
1	64	53

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	830×	body	2560	valid
1.3s	1752×	body	1280	valid
344.0ms	974×	body	640	valid
305.0ms	4447×	body	80	valid
94.0ms	391×	body	320	valid
93.0ms	4×	body	10240	exit
32.0ms	207×	body	160	valid