Details

sample416.0ms

Algorithm

intervals

Results

64.0ms	20×	body	2560	valid
39.0ms	53×	body	1280	valid
24.0ms	1×	body	10240	exit
13.0ms	173×	body	80	valid
10.0ms	29×	body	640	valid
3.0ms	12×	body	320	valid
0.0ms	2×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 15.3b

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)))
27.2b	(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))

series273.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
26.0ms	(/ 1.0 (* F F))
141.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
86.0ms	(tan (* PI l))

simplify45.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

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

prune238.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
0.4b	(* (/ 1.0 F) (tan (* PI l)))
27.2b	(tan (* PI l))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
32×	`add-cbrt-cube`
29×	`associate-l`
28×	`add-sqr-sqrt`
23×	`prod-exp`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`pow1` `cbrt-unprod`
11×	`div-exp`
7×	`tan-quot` `associate-r`
6×	`cbrt-undiv` `frac-times` `associate-*r/`
5×	`pow-prod-down`
4×	`associate-*l/` `add-log-exp`
3×	`rec-exp` `1-exp` `*-commutative` `unswap-sqr`
2×	`div-inv`

Counts

4 → 109

Calls

4 calls:

3.0ms	(* PI l)
28.0ms	(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
12.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series350.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
136.0ms	(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
126.0ms	(* (/ 1.0 F) (tan (* PI l)))
67.0ms	(tan (* PI l))

simplify64.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	526	766
1	2686	631
2	5001	623

prune312.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.4b	(* (/ 1.0 F) (tan (* PI l)))
27.2b	(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))

series237.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
21.0ms	(* PI l)
126.0ms	(* (/ 1.0 F) (tan (* PI l)))
68.0ms	(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

prune314.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
27.2b	(tan (* PI l))

rewrite14.0ms

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)
3.0ms	(* PI l)
3.0ms	(* PI l)
2.0ms	(tan (* PI l))

series212.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (tan (* PI l)) F)
20.0ms	(* PI l)
20.0ms	(* PI l)
67.0ms	(tan (* PI l))

simplify64.0ms

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

prune249.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.8b

regimes405.0ms

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	22	11
1	22	11

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.4s	785×	body	2560	valid
1.2s	1721×	body	1280	valid
328.0ms	910×	body	640	valid
316.0ms	4552×	body	80	valid
97.0ms	422×	body	320	valid
70.0ms	3×	body	10240	exit
33.0ms	211×	body	160	valid