Details

sample415.0ms

Algorithm

intervals

Results

95.0ms	30×	body	2560	valid
38.0ms	54×	body	1280	valid
12.0ms	35×	body	640	valid
9.0ms	139×	body	80	valid
3.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid

simplify18.0ms

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: 19.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.1b	(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` `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))
16.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series252.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
135.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
73.0ms	(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

prune223.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 14.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
32.1b	(tan (* PI l))

rewrite21.0ms

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

series225.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
19.0ms	(* PI l)
119.0ms	(* (/ 1.0 F) (tan (* PI l)))
64.0ms	(tan (* PI l))

simplify85.0ms

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

prune257.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ (sin (* PI l)) (* (cos (* PI l)) F))
32.0b	(sin (* PI l))
32.2b	(cos (* PI l))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

5.0ms	(* PI l)
5.0ms	(/ (sin (* PI l)) (* (cos (* PI l)) F))
2.0ms	(sin (* PI l))
2.0ms	(cos (* PI l))

series163.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
104.0ms	(/ (sin (* PI l)) (* (cos (* PI l)) F))
22.0ms	(sin (* PI l))
18.0ms	(cos (* PI l))

simplify35.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	267	357
1	1022	304
2	5001	304

prune214.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt l)
0.5b	(* (cbrt l) (cbrt l))
32.0b	(sin (* PI l))
32.2b	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`cbrt-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
7×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt l)
6.0ms	(* (cbrt l) (cbrt l))
2.0ms	(sin (* PI l))
9.0ms	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt l)
198.0ms	(* (cbrt l) (cbrt l))
22.0ms	(sin (* PI l))
28.0ms	(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify35.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	218	349
1	897	308
2	5002	291

prune263.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.8b

regimes373.0ms

Accuracy

78.5% (1.0b remaining)

Error of 8.7b against oracle of 7.7b and baseline of 12.4b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	49
1	71	49

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.5s	809×	body	2560	valid
1.2s	1668×	body	1280	valid
353.0ms	959×	body	640	valid
320.0ms	4600×	body	80	valid
85.0ms	372×	body	320	valid
70.0ms	3×	body	10240	exit
40.0ms	222×	body	160	valid