Details

sample397.0ms

Algorithm

intervals

Results

72.0ms	23×	body	2560	valid
35.0ms	50×	body	1280	valid
16.0ms	39×	body	640	valid
10.0ms	145×	body	80	valid
3.0ms	14×	body	320	valid
0.0ms	1×	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: 18.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.5b	(/ 1.0 (* F F))
5.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.6b	(tan (* PI l))

rewrite30.0ms

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

series270.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
139.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
84.0ms	(tan (* PI l))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune236.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.4b	(* (/ 1.0 F) (tan (* PI l)))
29.6b	(tan (* PI l))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `times-frac`
9×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 78

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
11.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series234.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
20.0ms	(* PI l)
125.0ms	(* (/ 1.0 F) (tan (* PI l)))
67.0ms	(tan (* PI l))

simplify86.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	277	382
1	1009	342
2	3834	341
3	5001	341

prune263.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1.0 F))
0.6b	(cbrt (/ 1.0 F))
0.6b	(cbrt (/ 1.0 F))
29.6b	(tan (* PI l))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt (/ 1.0 F))
1.0ms	(cbrt (/ 1.0 F))
2.0ms	(cbrt (/ 1.0 F))
2.0ms	(tan (* PI l))

series650.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (/ 1.0 F))
192.0ms	(cbrt (/ 1.0 F))
197.0ms	(cbrt (/ 1.0 F))
67.0ms	(tan (* PI l))

simplify124.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	146	463
1	309	443
2	947	437
3	3623	431
4	5001	431

prune358.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 12.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
29.6b	(tan (* PI l))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 41

Calls

4 calls:

0.0ms	(cbrt F)
0.0ms	(cbrt F)
1.0ms	(cbrt F)
2.0ms	(tan (* PI l))

series607.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt F)
179.0ms	(cbrt F)
179.0ms	(cbrt F)
68.0ms	(tan (* PI l))

simplify120.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	97	172
1	231	158
2	774	152
3	3506	152
4	5002	152

prune207.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 12.4b

regimes360.0ms

Accuracy

0% (0.4b remaining)

Error of 12.4b against oracle of 12.0b and baseline of 12.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	802×	body	2560	valid
1.2s	1622×	body	1280	valid
351.0ms	966×	body	640	valid
328.0ms	4623×	body	80	valid
116.0ms	5×	body	10240	exit
98.0ms	402×	body	320	valid
32.0ms	192×	body	160	valid