Details

sample393.0ms

Algorithm

intervals

Results

80.0ms	25×	body	2560	valid
33.0ms	60×	body	1280	valid
7.0ms	29×	body	640	valid
6.0ms	147×	body	80	valid
2.0ms	16×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.0b	(tan (* PI l))

rewrite26.0ms

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:

4.0ms	(* PI l)
5.0ms	(/ 1.0 (* F F))
9.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series266.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
139.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
82.0ms	(tan (* PI l))

simplify43.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (36.0ms)

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

prune275.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 12.6b

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)))
32.0b	(tan (* PI l))

rewrite22.0ms

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:

4.0ms	(* PI l)
4.0ms	(* PI l)
9.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series278.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
20.0ms	(* PI l)
168.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
65.0ms	(tan (* PI l))

simplify101.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (95.0ms)

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

prune355.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 12.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
31.2b	(cos (* PI l))
31.9b	(sin (* PI l))

rewrite13.0ms

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:

4.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(cos (* PI l))
2.0ms	(sin (* PI l))

series86.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* PI l)
19.0ms	(* PI l)
17.0ms	(cos (* PI l))
24.0ms	(sin (* PI l))

simplify113.0ms

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

prune274.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
31.3b	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
31.9b	(sin (* PI l))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
3.0ms	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
2.0ms	(sin (* PI l))

series420.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt l)
179.0ms	(cbrt l)
28.0ms	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
27.0ms	(sin (* PI l))

simplify82.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	156	247
1	513	219
2	2269	215
3	5001	210

prune236.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.6b

regimes483.0ms

Accuracy

77.3% (1.0b remaining)

Error of 8.9b against oracle of 7.9b and baseline of 12.5b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	55
1	62	55

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.4s	817×	body	2560	valid
936.0ms	1713×	body	1280	valid
214.0ms	879×	body	640	valid
205.0ms	4585×	body	80	valid
62.0ms	394×	body	320	valid
23.0ms	220×	body	160	valid