Details

sample517.0ms

Algorithm

intervals

Results

89.0ms	29×	body	2560	valid
52.0ms	68×	body	1280	valid
31.0ms	129×	body	80	valid
11.0ms	34×	body	640	valid
1.0ms	8×	body	160	valid
1.0ms	6×	body	320	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.7b	(/ 1.0 (* F F))
3.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
33.4b	(tan (* PI l))

rewrite75.0ms

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:

6.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
48.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series270.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
31.0ms	(/ 1.0 (* F F))
139.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
79.0ms	(tan (* PI l))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

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

prune223.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
33.4b	(tan (* PI l))

rewrite61.0ms

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`
12×	`add-cbrt-cube`
10×	`pow1` `cbrt-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:

6.0ms	(* PI l)
6.0ms	(* PI l)
37.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series285.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
21.0ms	(* PI l)
174.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
68.0ms	(tan (* PI l))

simplify93.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	294	496
1	1023	455
2	3911	454
3	5001	451

prune341.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ (* (cbrt 1.0) (sin (* PI l))) (* F (cos (* PI l))))
33.1b	(sin (* PI l))
33.1b	(cos (* PI l))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

7.0ms	(* PI l)
28.0ms	(/ (* (cbrt 1.0) (sin (* PI l))) (* F (cos (* PI l))))
7.0ms	(sin (* PI l))
7.0ms	(cos (* PI l))

series274.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* PI l)
206.0ms	(/ (* (cbrt 1.0) (sin (* PI l))) (* F (cos (* PI l))))
23.0ms	(sin (* PI l))
19.0ms	(cos (* PI l))

simplify45.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	341	430
1	1635	341
2	5001	341

prune250.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* PI l))
0.5b	(cbrt (* PI l))
33.1b	(sin (* PI l))
33.4b	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

3.0ms	(cbrt (* PI l))
3.0ms	(cbrt (* PI l))
7.0ms	(sin (* PI l))
58.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

series498.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (* PI l))
221.0ms	(cbrt (* PI l))
24.0ms	(sin (* PI l))
33.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

simplify65.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	160	261
1	461	225
2	1833	213
3	5002	202

prune166.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.2b

regimes523.0ms

Accuracy

83.1% (0.8b remaining)

Error of 8.9b against oracle of 8.0b and baseline of 13.0b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	51
1	63	51

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.7s	875×	body	2560	valid
1.2s	1695×	body	1280	valid
338.0ms	972×	body	640	valid
304.0ms	4449×	body	80	valid
122.0ms	5×	body	10240	exit
92.0ms	396×	body	320	valid
33.0ms	212×	body	160	valid