Details

sample471.0ms

Algorithm

intervals

Results

96.0ms	22×	body	2560	valid
43.0ms	55×	body	1280	valid
10.0ms	151×	body	80	valid
8.0ms	24×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	10×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.0b	(tan (* PI l))

rewrite78.0ms

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:

7.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
50.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms	(tan (* PI l))

series261.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
26.0ms	(/ 1.0 (* F F))
134.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
78.0ms	(tan (* PI l))

simplify40.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

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

prune227.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 12.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
29.0b	(tan (* PI l))

rewrite64.0ms

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:

7.0ms	(* PI l)
7.0ms	(* PI l)
39.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
9.0ms	(tan (* PI l))

series279.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(* PI l)
167.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify91.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (85.0ms)

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

prune342.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ (* (sin (* PI l)) (cbrt 1.0)) (* (cos (* PI l)) F))
28.7b	(sin (* PI l))
28.8b	(cos (* PI l))

rewrite52.0ms

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)
29.0ms	(/ (* (sin (* PI l)) (cbrt 1.0)) (* (cos (* PI l)) F))
7.0ms	(sin (* PI l))
7.0ms	(cos (* PI l))

series266.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
200.0ms	(/ (* (sin (* PI l)) (cbrt 1.0)) (* (cos (* PI l)) F))
23.0ms	(sin (* PI l))
18.0ms	(cos (* PI l))

simplify42.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	335	431
1	1573	342
2	5002	342

prune239.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.8b

localize26.0ms

Local error

Found 4 expressions with local error:

28.7b	(sin (* PI l))
28.8b	(cos (* PI l))
28.8b	(cos (* PI l))
28.8b	(cos (* PI l))

rewrite30.0ms

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`

Counts

4 → 28

Calls

4 calls:

7.0ms	(sin (* PI l))
7.0ms	(cos (* PI l))
7.0ms	(cos (* PI l))
8.0ms	(cos (* PI l))

series80.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sin (* PI l))
18.0ms	(cos (* PI l))
17.0ms	(cos (* PI l))
23.0ms	(cos (* PI l))

simplify57.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	105	177
1	362	157
2	1564	157
3	5001	157

prune183.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.8b

regimes457.0ms

Accuracy

73% (1.3b remaining)

Error of 9.2b against oracle of 7.9b and baseline of 12.8b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	55
1	64	55

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	829×	body	2560	valid
1.2s	1684×	body	1280	valid
329.0ms	950×	body	640	valid
293.0ms	4502×	body	80	valid
86.0ms	379×	body	320	valid
70.0ms	3×	body	10240	exit
35.0ms	234×	body	160	valid