Details

sample376.0ms

Algorithm

intervals

Results

57.0ms	18×	body	2560	valid
39.0ms	57×	body	1280	valid
11.0ms	156×	body	80	valid
8.0ms	26×	body	640	valid
3.0ms	15×	body	320	valid
0.0ms	1×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 13.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
3.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.2b	(tan (* PI l))

rewrite37.0ms

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

series255.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
138.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
72.0ms	(tan (* PI l))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (36.0ms)

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

prune247.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
27.2b	(tan (* PI l))

rewrite28.0ms

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)
3.0ms	(* PI l)
14.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series270.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
20.0ms	(* PI l)
166.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
62.0ms	(tan (* PI l))

simplify97.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (91.0ms)

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

prune352.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
27.3b	(cos (* PI l))
27.3b	(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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

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

series83.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
19.0ms	(* PI l)
18.0ms	(cos (* PI l))
27.0ms	(sin (* PI l))

simplify114.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	162	201
1	606	181
2	3058	180
3	5002	180

prune261.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.8b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(* (cbrt PI) (cbrt PI))
27.2b	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
27.3b	(sin (* PI l))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`cbrt-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
7×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

0.0ms	(cbrt PI)
5.0ms	(* (cbrt PI) (cbrt PI))
7.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
2.0ms	(sin (* PI l))

series48.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(* (cbrt PI) (cbrt PI))
24.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
23.0ms	(sin (* PI l))

simplify133.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	187	382
1	694	343
2	3475	326
3	5002	318

prune274.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.8b

regimes424.0ms

Accuracy

82.7% (0.8b remaining)

Error of 8.2b against oracle of 7.4b and baseline of 12.1b

bsearch5.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	61
1	67	61

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.3s	745×	body	2560	valid
1.2s	1721×	body	1280	valid
353.0ms	996×	body	640	valid
324.0ms	4506×	body	80	valid
142.0ms	6×	body	10240	exit
92.0ms	410×	body	320	valid
31.0ms	197×	body	160	valid