Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
10.0ms	180×	body	80	valid
7.0ms	29×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (+ x (sin y)) (* z (cos y)))
35.0ms	(* z (cos y))

simplify67.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	152	192
1	605	176
2	2510	176
3	5001	176

prune83.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
5.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series453.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune200.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
5.0ms	(cbrt z)

series736.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt z) (cbrt z))
187.0ms	(cbrt z)
175.0ms	(cbrt z)
175.0ms	(cbrt z)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune208.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.1b	(* z (sqrt (cos y)))
0.1b	(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

1.0ms	(sqrt (cos y))
1.0ms	(sqrt (cos y))
5.0ms	(* z (sqrt (cos y)))
7.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (cos y))
14.0ms	(sqrt (cos y))
52.0ms	(* z (sqrt (cos y)))
35.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	157	356
1	711	312
2	2827	306
3	5001	306

prune147.0ms

Filtered

81 candidates to 50 candidates (61.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	81	6	87

Merged error: 0b

Counts

87 → 6

regimes116.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

435.0ms	999×	body	1280	valid
307.0ms	5585×	body	80	valid
209.0ms	808×	body	640	valid
81.0ms	422×	body	320	valid
23.0ms	186×	body	160	valid