Details

sample371.0ms

Algorithm

intervals

Results

69.0ms	24×	body	2560	valid
25.0ms	50×	body	1280	valid
9.0ms	35×	body	640	valid
8.0ms	148×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	6×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	41	7
2	82	7
3	122	7
4	147	7
5	157	7
6	159	7
7	159	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.8b	(/ 1.0 (* F F))
4.3b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.3b	(tan (* PI l))

rewrite23.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 85

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))

series263.0ms

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)))
84.0ms	(tan (* PI l))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	334	468
1	1442	399
2	5001	398

prune245.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.8b

localize13.0ms

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)))
28.3b	(tan (* PI l))

rewrite21.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 96

Calls

4 calls:

3.0ms	(* PI l)
4.0ms	(* PI l)
9.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series263.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
161.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
64.0ms	(tan (* PI l))

simplify96.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	303	519
1	1044	478
2	4000	476
3	5001	475

prune355.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
28.3b	(tan (* PI l))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`tan-quot` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

4 → 80

Calls

4 calls:

4.0ms	(/ (tan (* PI l)) F)
3.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(tan (* PI l))

series208.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (tan (* PI l)) F)
19.0ms	(* PI l)
20.0ms	(* PI l)
65.0ms	(tan (* PI l))

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	212	368
1	688	341
2	2316	339
3	5002	338

prune307.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
28.6b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite14.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 63

Calls

4 calls:

7.0ms	(* (sqrt PI) (* (sqrt PI) l))
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
3.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series89.0ms

Counts

4 → 8

Calls

4 calls:

22.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
67.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	158	264
1	501	230
2	1518	229
3	5001	229

prune224.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 10.7b

regimes448.0ms

Accuracy

0% (0.5b remaining)

Error of 12.7b against oracle of 12.2b and baseline of 12.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	21
1	19	21

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.5s	848×	body	2560	valid
894.0ms	1643×	body	1280	valid
228.0ms	912×	body	640	valid
199.0ms	4606×	body	80	valid
59.0ms	367×	body	320	valid
24.0ms	231×	body	160	valid
1.0ms	3×	body	10240	exit