Details

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 4.254159%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

7.0ms	193×	body	80	valid
4.0ms	27×	body	1280	valid
2.0ms	16×	body	640	valid
1.0ms	12×	body	320	invalid
1.0ms	28×	body	80	invalid
1.0ms	5×	body	2560	valid
1.0ms	9×	body	320	valid
1.0ms	6×	body	640	invalid
1.0ms	3×	body	1280	invalid
0.0ms	6×	body	160	valid
0.0ms	4×	body	160	invalid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	20	7
1	64	3
2	191	2
3	1038	2
4	5001	2

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

6.0ms

(* y (- x z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (- x z))

simplify46.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune28.0ms

Filtered

17 candidates to 29 candidates (-70.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* y x) (* y (neg z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

3.0ms

(+ (* y x) (* y (neg z)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (* y x) (* y (neg z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	106	90
1	438	69
2	1930	66
3	5002	65

prune19.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	17	3	20

Merged error: 0.0b

Counts

20 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.3b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.5b	(sqrt (* y (- x z)))
2.5b	(sqrt (* y (- x z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

6.0ms	(* y (- x z))
13.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
4.0ms	(sqrt (* y (- x z)))
6.0ms	(sqrt (* y (- x z)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- x z))
31.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
15.0ms	(sqrt (* y (- x z)))
15.0ms	(sqrt (* y (- x z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	255	518
1	1176	477
2	5001	463

prune82.0ms

Filtered

70 candidates to 121 candidates (-72.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Merged error: 0b

Counts

124 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.1b	(* (* (sqrt (* y (- x z))) (sqrt y)) (sqrt (- x z)))
0.1b	(* (sqrt (* y (- x z))) (sqrt y))
2.5b	(sqrt (* y (- x z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
21×	`add-sqr-sqrt`
19×	`associate-r`
17×	`pow-prod-down`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`associate-*r/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`sqrt-pow1`
11×	`add-cube-cbrt` `sqrt-prod`
10×	`associate-*l/`
9×	`flip3--` `flip--`
8×	`associate-l`
6×	`pow1/2`
5×	`prod-exp` `cbrt-unprod`
4×	`frac-times` `add-log-exp`
3×	`sqrt-unprod` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

6.0ms	(* y (- x z))
16.0ms	(* (* (sqrt (* y (- x z))) (sqrt y)) (sqrt (- x z)))
9.0ms	(* (sqrt (* y (- x z))) (sqrt y))
4.0ms	(sqrt (* y (- x z)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* y (- x z))
113.0ms	(* (* (sqrt (* y (- x z))) (sqrt y)) (sqrt (- x z)))
19.0ms	(* (sqrt (* y (- x z))) (sqrt y))
15.0ms	(sqrt (* y (- x z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	478	759
1	2540	725
2	5001	715

prune118.0ms

Filtered

79 candidates to 115 candidates (-45.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	115	4	119

Merged error: 0b

Counts

119 → 4

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 4.254159%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

208.0ms	5754×	body	80	valid
135.0ms	846×	body	1280	valid
76.0ms	594×	body	640	valid
44.0ms	225×	body	2560	valid
38.0ms	303×	body	640	invalid
37.0ms	381×	body	320	valid
33.0ms	931×	body	80	invalid
28.0ms	245×	body	320	invalid
19.0ms	109×	body	1280	invalid
13.0ms	200×	body	160	valid
11.0ms	144×	body	160	invalid

Details

sample1.5s

simplify44.0ms

prune7.0ms

localize4.0ms

rewrite7.0ms

series7.0ms

simplify46.0ms

prune28.0ms

localize6.0ms

rewrite4.0ms

series7.0ms

simplify64.0ms

prune19.0ms

localize6.0ms

rewrite34.0ms

series68.0ms

simplify50.0ms

prune82.0ms

localize9.0ms

rewrite38.0ms

series157.0ms

simplify66.0ms

prune118.0ms

regimes135.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling