Details

analyze358.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	30×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b	(/ (- x z) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `associate-+r+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 51

Calls

2 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4991	583
1	4991	583

prune59.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))

series108.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
28.0ms	(cbrt (- x z))
25.0ms	(cbrt (- x z))
26.0ms	(cbrt (- x z))

simplify58.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4967	1021
1	4967	1021

prune107.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0b

Counts

115 → 2

regimes121.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample521.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
34.0ms	957×	body	80	invalid

Details

analyze358.0ms

sample22.0ms

simplify49.0ms

prune7.0ms

localize8.0ms

rewrite10.0ms

series13.0ms

simplify41.0ms

prune59.0ms

localize13.0ms

rewrite23.0ms

series108.0ms

simplify58.0ms

prune107.0ms

regimes121.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample521.0ms

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