Details

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.630371%

Guaranteed chance to sample good point: 74.362057%

Results

8.0ms	256×	body	80	valid
3.0ms	89×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

prune4.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) z)
0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

4.0ms	(+ (* x y) z)
7.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)

series32.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x y) z)
18.0ms	(+ (* (+ (* x y) z) y) t)
9.0ms	(* (+ (* x y) z) y)

simplify102.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	208	263
1	742	237
2	4187	233
3	5002	233

prune62.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.2b	(* (sqrt (* (+ (* x y) z) y)) (sqrt (* (+ (* x y) z) y)))
7.7b	(sqrt (* (+ (* x y) z) y))
7.7b	(sqrt (* (+ (* x y) z) y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

6.0ms	(* (+ (* x y) z) y)
13.0ms	(* (sqrt (* (+ (* x y) z) y)) (sqrt (* (+ (* x y) z) y)))
5.0ms	(sqrt (* (+ (* x y) z) y))
5.0ms	(sqrt (* (+ (* x y) z) y))

series76.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (+ (* x y) z) y)
19.0ms	(* (sqrt (* (+ (* x y) z) y)) (sqrt (* (+ (* x y) z) y)))
24.0ms	(sqrt (* (+ (* x y) z) y))
25.0ms	(sqrt (* (+ (* x y) z) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	233	628
1	1082	570
2	5001	544

prune90.0ms

Filtered

68 candidates to 115 candidates (-69.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Merged error: 0.0b

Counts

120 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) (sqrt y))
0.2b	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
7×	`sqrt-prod`
6×	`associate-*l/`
4×	`flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

9.0ms	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
4.0ms	(+ (* x y) z)
7.0ms	(* (+ (* x y) z) (sqrt y))
9.0ms	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))

series47.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* (* (+ (* x y) z) (sqrt y)) (sqrt y)) t)
5.0ms	(+ (* x y) z)
12.0ms	(* (+ (* x y) z) (sqrt y))
10.0ms	(* (* (+ (* x y) z) (sqrt y)) (sqrt y))

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	346	535
1	1440	465
2	5002	458

prune77.0ms

Filtered

57 candidates to 81 candidates (-42.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	80	6	86

Merged error: 0b

Counts

86 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
0.3b	(cbrt (sqrt y))
0.3b	(cbrt (sqrt y))
0.3b	(cbrt (sqrt y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

9.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series63.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
15.0ms	(cbrt (sqrt y))
15.0ms	(cbrt (sqrt y))
16.0ms	(cbrt (sqrt y))

simplify146.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	236	726
1	817	675
2	4372	594
3	5001	590

prune86.0ms

Filtered

66 candidates to 110 candidates (-66.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	110	6	116

Merged error: 0b

Counts

116 → 6

regimes421.0ms

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

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 8.630371%

Guaranteed chance to sample good point: 74.362057%

Results

247.0ms	8000×	body	80	valid
71.0ms	2325×	body	80	invalid

Details

sample1.0s

simplify7.0ms

prune4.0ms

localize6.0ms

rewrite17.0ms

series32.0ms

simplify102.0ms

prune62.0ms

localize9.0ms

rewrite32.0ms

series76.0ms

simplify43.0ms

prune90.0ms

localize8.0ms

rewrite31.0ms

series47.0ms

simplify43.0ms

prune77.0ms

localize12.0ms

rewrite17.0ms

series63.0ms

simplify146.0ms

prune86.0ms

regimes421.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

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