Details

sample457.0ms

Algorithm

intervals

Results

91.0ms	28×	body	2560	valid
64.0ms	70×	body	1280	valid
16.0ms	141×	body	80	valid
12.0ms	27×	body	640	valid
2.0ms	6×	body	320	valid
2.0ms	7×	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: 17.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.7b	(/ 1.0 (* F F))
3.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.0b	(tan (* PI l))

rewrite28.0ms

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))

series253.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
129.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
78.0ms	(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

prune225.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
31.0b	(tan (* PI l))

rewrite26.0ms

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` `add-cbrt-cube`
10×	`pow1` `sqrt-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:

3.0ms	(* PI l)
3.0ms	(* PI l)
15.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series267.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
19.0ms	(* PI l)
161.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
63.0ms	(tan (* PI l))

simplify96.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	297	498
1	1061	455
2	4012	454
3	5002	454

prune313.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 13.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
30.8b	(cos (* PI l))
31.1b	(sin (* PI l))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 50

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
2.0ms	(cos (* PI l))
2.0ms	(sin (* PI l))

series82.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
17.0ms	(cos (* PI l))
26.0ms	(sin (* PI l))

simplify109.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	154	181
1	584	163
2	2960	163
3	5002	163

prune242.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.2b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.6b	(cos (* (sqrt PI) (* (sqrt PI) l)))
31.1b	(sin (* PI l))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 40

Calls

4 calls:

1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
5.0ms	(cos (* (sqrt PI) (* (sqrt PI) l)))
2.0ms	(sin (* PI l))

series45.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
19.0ms	(cos (* (sqrt PI) (* (sqrt PI) l)))
25.0ms	(sin (* PI l))

simplify73.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	127	177
1	422	158
2	1913	158
3	5002	154

prune179.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.2b

regimes578.0ms

Accuracy

86.4% (0.7b remaining)

Error of 8.0b against oracle of 7.4b and baseline of 12.2b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	54
1	64	54

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.6s	797×	body	2560	valid
1.4s	1693×	body	1280	valid
532.0ms	4587×	body	80	valid
434.0ms	936×	body	640	valid
126.0ms	386×	body	320	valid
50.0ms	213×	body	160	valid
24.0ms	1×	body	10240	exit