Details

sample443.0ms

Algorithm

intervals

Results

84.0ms	26×	body	2560	valid
50.0ms	57×	body	1280	valid
14.0ms	148×	body	80	valid
12.0ms	28×	body	640	valid
5.0ms	18×	body	320	valid
1.0ms	5×	body	160	valid

simplify20.0ms

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: 17.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.5b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.6b	(tan (* PI l))

rewrite39.0ms

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)
13.0ms	(/ 1.0 (* F F))
16.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series256.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
137.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
73.0ms	(tan (* PI l))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

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: 12.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
31.6b	(tan (* PI l))

rewrite20.0ms

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))

series233.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
20.0ms	(* PI l)
124.0ms	(* (/ 1.0 F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify87.0ms

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

prune255.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 1.0 (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
31.6b	(tan (* PI l))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

5.0ms	(/ (* 1.0 (tan (* PI l))) F)
3.0ms	(* PI l)
3.0ms	(* PI l)
2.0ms	(tan (* PI l))

series210.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ (* 1.0 (tan (* PI l))) F)
19.0ms	(* PI l)
22.0ms	(* PI l)
61.0ms	(tan (* PI l))

simplify99.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	248	312
1	1018	272
2	4392	272
3	5002	272

prune218.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.6b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot` `associate-r` `*-commutative`

Counts

4 → 55

Calls

4 calls:

10.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
5.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series87.0ms

Counts

4 → 8

Calls

4 calls:

21.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
66.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify152.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	150	236
1	482	202
2	1448	202
3	4933	202
4	5002	202

prune168.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 12.8b

regimes416.0ms

Accuracy

0% (0.4b remaining)

Error of 12.5b against oracle of 12.2b and baseline of 12.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.7s	834×	body	2560	valid
1.4s	1710×	body	1280	valid
431.0ms	4579×	body	80	valid
406.0ms	928×	body	640	valid
140.0ms	6×	body	10240	exit
119.0ms	386×	body	320	valid
42.0ms	207×	body	160	valid