Details

sample18.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

6.0ms	235×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

simplify308.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3907	4
13	5001	4

prune9.0ms

Filtered

1 candidates to 1 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 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

8.0ms

(+ (* 2 (+ x y)) (+ x z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify33.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune43.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	19	5	24

Merged error: 0.0b

Counts

24 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* 2 (+ x y)) x) z)
0.0b	(+ (* 2 (+ x y)) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
3×	`associate-+l+`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

8.0ms	(+ (+ (* 2 (+ x y)) x) z)
6.0ms	(+ (* 2 (+ x y)) x)

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (+ (* 2 (+ x y)) x) z)
5.0ms	(+ (* 2 (+ x y)) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	165	183
1	588	174
2	2960	170
3	5001	170

prune41.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 2 (+ x y)) (* 2 (+ x y)))
0.0b	(- (* 2 (+ x y)) x)
13.9b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
29.9b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
14×	`associate-*r/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`flip3-+` `associate--l+` `flip-+`
5×	`difference-of-squares`
4×	`frac-times` `flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `diff-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 113

Calls

4 calls:

11.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
6.0ms	(- (* 2 (+ x y)) x)
11.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
21.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

series30.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
4.0ms	(- (* 2 (+ x y)) x)
7.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
14.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

simplify87.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	516	1135
1	2849	969
2	5002	949

prune336.0ms

Filtered

81 candidates to 125 candidates (-54.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	8	130

Merged error: 0.0b

Counts

130 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* 2 (+ x y)) x)) (cbrt (- (* 2 (+ x y)) x)))
0.5b	(cbrt (- (* 2 (+ x y)) x))
0.5b	(cbrt (- (* 2 (+ x y)) x))
0.5b	(cbrt (- (* 2 (+ x y)) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

15.0ms	(* (cbrt (- (* 2 (+ x y)) x)) (cbrt (- (* 2 (+ x y)) x)))
6.0ms	(cbrt (- (* 2 (+ x y)) x))
6.0ms	(cbrt (- (* 2 (+ x y)) x))
6.0ms	(cbrt (- (* 2 (+ x y)) x))

series140.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (cbrt (- (* 2 (+ x y)) x)) (cbrt (- (* 2 (+ x y)) x)))
32.0ms	(cbrt (- (* 2 (+ x y)) x))
34.0ms	(cbrt (- (* 2 (+ x y)) x))
32.0ms	(cbrt (- (* 2 (+ x y)) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	304	1086
1	1061	1021
2	5001	942

prune226.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

regimes191.0ms

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	12	4
1	12	4

end0.0ms

sample474.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

203.0ms	7383×	body	80	valid
24.0ms	197×	body	1280	valid
21.0ms	187×	body	640	valid
10.0ms	128×	body	320	valid
6.0ms	38×	body	2560	valid
4.0ms	74×	body	160	valid

Details

sample18.0ms

simplify308.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify33.0ms

prune43.0ms

localize6.0ms

rewrite15.0ms

series11.0ms

simplify72.0ms

prune41.0ms

localize11.0ms

rewrite52.0ms

series30.0ms

simplify87.0ms

prune336.0ms

localize14.0ms

rewrite35.0ms

series140.0ms

simplify46.0ms

prune226.0ms

regimes191.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample474.0ms

Profiling