Details

analyze254.0ms

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
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

prune12.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* y (* 4.0 z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

5.0ms

(- (* x x) (* y (* 4.0 z)))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (* x x) (* y (* 4.0 z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4952	179
1	4952	179

prune37.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* y (* 4.0 z)))
0.1b	(* (sqrt (- (* x x) (* y (* 4.0 z)))) (sqrt (- (* x x) (* y (* 4.0 z)))))
2.7b	(sqrt (- (* x x) (* y (* 4.0 z))))
2.7b	(sqrt (- (* x x) (* y (* 4.0 z))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

6.0ms	(- (* x x) (* y (* 4.0 z)))
20.0ms	(* (sqrt (- (* x x) (* y (* 4.0 z)))) (sqrt (- (* x x) (* y (* 4.0 z)))))
6.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
7.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* x x) (* y (* 4.0 z)))
9.0ms	(* (sqrt (- (* x x) (* y (* 4.0 z)))) (sqrt (- (* x x) (* y (* 4.0 z)))))
22.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
25.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4953	1456
1	4953	1456

prune129.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sqrt (- (* x x) (* y (* 4.0 z)))) 3)
2.7b	(sqrt (- (* x x) (* y (* 4.0 z))))
2.7b	(sqrt (- (* x x) (* y (* 4.0 z))))
15.4b	(cbrt (pow (sqrt (- (* x x) (* y (* 4.0 z)))) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod` `add-sqr-sqrt` `sqrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
8×	`pow1` `sqrt-div`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2`
2×	`cube-mult` `rem-sqrt-square` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 93

Calls

4 calls:

5.0ms	(pow (sqrt (- (* x x) (* y (* 4.0 z)))) 3)
3.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
4.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
5.0ms	(cbrt (pow (sqrt (- (* x x) (* y (* 4.0 z)))) 3))

series56.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(pow (sqrt (- (* x x) (* y (* 4.0 z)))) 3)
14.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
16.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
14.0ms	(cbrt (pow (sqrt (- (* x x) (* y (* 4.0 z)))) 3))

simplify70.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4898	1456
1	4898	1456

prune145.0ms

Filtered

66 candidates to 105 candidates (-59.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Merged error: 0b

Counts

107 → 2

regimes161.0ms

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	10	9
1	10	9

end0.0ms

analyze287.0ms

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
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

sample384.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
15.0ms	480×	body	80	invalid

Details

analyze254.0ms

sample15.0ms

simplify4.0ms

prune12.0ms

localize10.0ms

rewrite6.0ms

series14.0ms

simplify58.0ms

prune37.0ms

localize19.0ms

rewrite44.0ms

series64.0ms

simplify57.0ms

prune129.0ms

localize12.0ms

rewrite20.0ms

series56.0ms

simplify70.0ms

prune145.0ms

regimes161.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze287.0ms

sample384.0ms

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