Details

sample188.0ms

Algorithm

intervals

Results

112.0ms	101×	body	1280	valid
31.0ms	46×	body	640	valid
13.0ms	28×	body	320	valid
10.0ms	70×	body	80	valid
3.0ms	11×	body	160	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune17.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
3.7b	(- (cos x) (cos y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-sqr-sqrt`
105×	`prod-diff`
101×	`*-un-lft-identity`
95×	`add-cube-cbrt`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `fma-neg` `associate-r` `associate-l` `add-cbrt-cube` `div-inv`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out--`
2×	`diff-log` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `diff-cos`

Counts

4 → 188

Calls

4 calls:

0.0ms	(fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))
37.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series344.0ms

Counts

4 → 10

Calls

4 calls:

201.0ms	(fma (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y) (fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) 1.0))
87.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
56.0ms	(- (cos x) (cos y))

simplify110.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	968	3839
1	3605	2798
2	5001	2553

prune671.0ms

Filtered

198 candidates to 84 candidates (42.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
3.7b	(- (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))

series55.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
54.0ms	(- (cos x) (cos y))

simplify117.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (111.0ms)

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

prune582.0ms

Filtered

74 candidates to 53 candidates (71.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
3.7b	(- (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))

series53.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
53.0ms	(- (cos x) (cos y))

simplify88.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	175	411
1	481	306
2	2340	288
3	5001	266

prune610.0ms

Filtered

74 candidates to 52 candidates (70.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
3.7b	(- (cos x) (cos y))
3.7b	(- (cos x) (cos y))
3.7b	(- (cos x) (cos y))

rewrite15.0ms

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))

series168.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt 16.0)
56.0ms	(- (cos x) (cos y))
52.0ms	(- (cos x) (cos y))
59.0ms	(- (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

prune820.0ms

Filtered

110 candidates to 68 candidates (61.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes291.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	52
1	60	52
2	60	52

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.2s	2702×	body	1280	valid
1.3s	1819×	body	640	valid
378.0ms	776×	body	320	valid
331.0ms	2328×	body	80	valid
120.0ms	375×	body	160	valid