Details

sample425.0ms

Algorithm

intervals

Results

91.0ms	30×	body	2560	valid
40.0ms	57×	body	1280	valid
10.0ms	132×	body	80	valid
9.0ms	27×	body	640	valid
4.0ms	17×	body	320	valid
1.0ms	8×	body	160	valid

simplify18.0ms

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: 16.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.5b	(/ 1.0 (* F F))
3.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.0b	(tan (* PI l))

rewrite34.0ms

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)
4.0ms	(/ 1.0 (* F F))
9.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series257.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
139.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
74.0ms	(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

prune215.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.2b

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)))
32.0b	(tan (* PI l))

rewrite18.0ms

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)
4.0ms	(* PI l)
7.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series237.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
20.0ms	(* PI l)
125.0ms	(* (/ 1.0 F) (tan (* PI l)))
68.0ms	(tan (* PI l))

simplify88.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	382
1	1009	342
2	3834	341
3	5001	341

prune251.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 1.0 (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
32.0b	(tan (* PI l))

rewrite17.0ms

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:

6.0ms	(/ (* 1.0 (tan (* PI l))) F)
4.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(tan (* PI l))

series227.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (* 1.0 (tan (* PI l))) F)
26.0ms	(* PI l)
20.0ms	(* PI l)
67.0ms	(tan (* PI l))

simplify101.0ms

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

prune220.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1.0 F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.7b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

8.0ms	(* (/ 1.0 F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
3.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series196.0ms

Counts

4 → 8

Calls

4 calls:

127.0ms	(* (/ 1.0 F) (tan (* (sqrt PI) (* (sqrt PI) l))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
69.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify74.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	257	501
1	854	442
2	3330	439
3	5001	439

prune221.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 12.1b

regimes425.0ms

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	14
1	24	14

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.4s	787×	body	2560	valid
1.2s	1718×	body	1280	valid
334.0ms	939×	body	640	valid
303.0ms	4542×	body	80	valid
255.0ms	11×	body	10240	exit
100.0ms	393×	body	320	valid
35.0ms	230×	body	160	valid