Details

sample417.0ms

Algorithm

intervals

Results

86.0ms	28×	body	2560	valid
52.0ms	70×	body	1280	valid
9.0ms	27×	body	640	valid
9.0ms	141×	body	80	valid
1.0ms	6×	body	320	valid
1.0ms	7×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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

rewrite38.0ms

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

series254.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
136.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
74.0ms	(tan (* PI l))

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

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

prune248.0ms

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

rewrite21.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 86

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
11.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series226.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
125.0ms	(* (/ 1.0 F) (tan (* PI l)))
63.0ms	(tan (* PI l))

simplify88.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	286	403
1	1032	363
2	3928	361
3	5001	360

prune291.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 13.5b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 74

Calls

4 calls:

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

series214.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (* 1.0 (tan (* PI l))) F)
20.0ms	(* PI l)
23.0ms	(* PI l)
61.0ms	(tan (* PI l))

simplify107.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	258	332
1	1047	292
2	4498	291
3	5001	290

prune264.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 13.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.5b	(/ 1 (/ F (* 1.0 (tan (* PI l)))))
31.0b	(tan (* PI l))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
10.0ms	(/ 1 (/ F (* 1.0 (tan (* PI l)))))
2.0ms	(tan (* PI l))

series231.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
23.0ms	(* PI l)
122.0ms	(/ 1 (/ F (* 1.0 (tan (* PI l)))))
66.0ms	(tan (* PI l))

simplify46.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	404	677
1	1771	593
2	5001	545

prune243.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 13.5b

regimes400.0ms

Accuracy

0% (0.3b remaining)

Error of 12.2b against oracle of 12.0b and baseline of 12.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.4s	797×	body	2560	valid
1.2s	1693×	body	1280	valid
325.0ms	936×	body	640	valid
292.0ms	4587×	body	80	valid
94.0ms	386×	body	320	valid
37.0ms	213×	body	160	valid
24.0ms	1×	body	10240	exit