Details

sample427.0ms

Algorithm

intervals

Results

92.0ms	30×	body	2560	valid
48.0ms	57×	body	1280	valid
12.0ms	35×	body	640	valid
10.0ms	148×	body	80	valid
2.0ms	7×	body	320	valid
1.0ms	6×	body	160	valid

simplify20.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.4b	(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))

series251.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
135.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
72.0ms	(tan (* PI l))

simplify44.0ms

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: 16.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
32.4b	(tan (* PI l))

rewrite23.0ms

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))

series227.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
19.0ms	(* PI l)
125.0ms	(* (/ 1.0 F) (tan (* PI l)))
62.0ms	(tan (* PI l))

simplify86.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (80.0ms)

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

prune291.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ (sin (* PI l)) (* (cos (* PI l)) F))
31.8b	(cos (* PI l))
32.1b	(sin (* PI l))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

3.0ms	(* PI l)
6.0ms	(/ (sin (* PI l)) (* (cos (* PI l)) F))
2.0ms	(cos (* PI l))
2.0ms	(sin (* PI l))

series170.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
106.0ms	(/ (sin (* PI l)) (* (cos (* PI l)) F))
17.0ms	(cos (* PI l))
23.0ms	(sin (* PI l))

simplify34.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	278	386
1	1052	331
2	5002	329

prune272.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.5b

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(* (cbrt PI) (cbrt PI))
31.4b	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
32.1b	(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:

1.0ms	(cbrt PI)
6.0ms	(* (cbrt PI) (cbrt PI))
7.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
2.0ms	(sin (* PI l))

series44.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(* (cbrt PI) (cbrt PI))
20.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
23.0ms	(sin (* PI l))

simplify130.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (125.0ms)

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

prune253.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.4b

regimes509.0ms

Accuracy

85.8% (0.6b remaining)

Error of 8.7b against oracle of 8.0b and baseline of 12.5b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	54
1	69	54

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.5s	823×	body	2560	valid
1.2s	1659×	body	1280	valid
338.0ms	959×	body	640	valid
308.0ms	4589×	body	80	valid
93.0ms	4×	body	10240	exit
88.0ms	398×	body	320	valid
33.0ms	213×	body	160	valid