Details

sample225.0ms

Algorithm

intervals

Results

104.0ms	75×	body	1280	valid
65.0ms	68×	body	640	valid
16.0ms	78×	body	80	valid
13.0ms	21×	body	320	valid
6.0ms	14×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	74	30
1	193	27
2	704	27
3	2994	27
4	5001	27

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.5b	(- (cos x) (cos y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

133×	`add-sqr-sqrt`
123×	`prod-diff`
119×	`*-un-lft-identity`
109×	`add-cube-cbrt`
56×	`times-frac`
52×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
12×	`associate-r` `associate-l`
9×	`flip3--` `flip--`
8×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
6×	`sub-neg` `fma-neg` `div-inv`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `log1p-expm1-u`
3×	`unswap-sqr`
2×	`diff-log` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `diff-cos`

Counts

4 → 234

Calls

4 calls:

37.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
39.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series238.0ms

Counts

4 → 10

Calls

4 calls:

96.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
89.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
52.0ms	(- (cos x) (cos y))

simplify127.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	1079	4683
1	4343	3463
2	5001	3456

prune889.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
2.5b	(- (cos x) (cos y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`cbrt-prod` `prod-diff`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `diff-cos` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
4.0ms	(- (cos x) (cos y))

series59.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
59.0ms	(- (cos x) (cos y))

simplify115.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	255	549
1	748	444
2	3867	426
3	5001	416

prune564.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
2.5b	(- (cos x) (cos y))
2.5b	(- (cos x) (cos y))
2.5b	(- (cos x) (cos y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`cbrt-prod` `sub-neg` `flip3--` `diff-log` `flip--` `diff-cos` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 100

Calls

4 calls:

0.0ms	(cbrt 16.0)
4.0ms	(- (cos x) (cos y))
4.0ms	(- (cos x) (cos y))
4.0ms	(- (cos x) (cos y))

series162.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt 16.0)
56.0ms	(- (cos x) (cos y))
55.0ms	(- (cos x) (cos y))
51.0ms	(- (cos x) (cos y))

simplify83.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	175	922
1	481	631
2	2340	601
3	5001	535

prune783.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
2.5b	(fma (/ (- (cos y)) 2) 2 (pow (cbrt (cos x)) 3))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(fma (/ (- (cos y)) 2) 2 (pow (cbrt (cos x)) 3))

series113.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
113.0ms	(fma (/ (- (cos y)) 2) 2 (pow (cbrt (cos x)) 3))

simplify97.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	178	395
1	561	368
2	3016	361
3	5002	358

prune564.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes231.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	50
1	58	50
2	58	50

end0.0ms

sample7.0s

Algorithm

intervals

Results

4.0s	2760×	body	1280	valid
1.7s	1794×	body	640	valid
513.0ms	769×	body	320	valid
488.0ms	2321×	body	80	valid
154.0ms	356×	body	160	valid