Details

analyze218.0ms

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	225	7
1	225	7

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:

3.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4936	145
1	4936	145

prune21.0ms

Filtered

12 candidates to 14 candidates (-16.7%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y (* 4.0 z)))
0.0b	(sqrt (- x (* y (* 4.0 z))))
0.0b	(sqrt (- x (* y (* 4.0 z))))
0.3b	(* (sqrt (- x (* y (* 4.0 z)))) (sqrt (- x (* y (* 4.0 z)))))

rewrite20.0ms

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:

3.0ms	(- x (* y (* 4.0 z)))
3.0ms	(sqrt (- x (* y (* 4.0 z))))
3.0ms	(sqrt (- x (* y (* 4.0 z))))
9.0ms	(* (sqrt (- x (* y (* 4.0 z)))) (sqrt (- x (* y (* 4.0 z)))))

series62.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- x (* y (* 4.0 z)))
20.0ms	(sqrt (- x (* y (* 4.0 z))))
20.0ms	(sqrt (- x (* y (* 4.0 z))))
12.0ms	(* (sqrt (- x (* y (* 4.0 z)))) (sqrt (- x (* y (* 4.0 z)))))

simplify31.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4940	1356
1	4940	1356

prune127.0ms

Filtered

69 candidates to 110 candidates (-59.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (- x (* y (* 4.0 z))))) (sqrt (cbrt (- x (* y (* 4.0 z))))))
0.3b	(* (sqrt (- x (* y (* 4.0 z)))) (* (fabs (cbrt (- x (* y (* 4.0 z))))) (sqrt (cbrt (- x (* y (* 4.0 z)))))))
0.5b	(cbrt (- x (* y (* 4.0 z))))
0.5b	(cbrt (- x (* y (* 4.0 z))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`sqrt-div`
12×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`cbrt-prod` `associate-r/` `associate-r*`
9×	`flip3--` `associate-l` `flip--`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* (fabs (cbrt (- x (* y (* 4.0 z))))) (sqrt (cbrt (- x (* y (* 4.0 z))))))
13.0ms	(* (sqrt (- x (* y (* 4.0 z)))) (* (fabs (cbrt (- x (* y (* 4.0 z))))) (sqrt (cbrt (- x (* y (* 4.0 z)))))))
3.0ms	(cbrt (- x (* y (* 4.0 z))))
3.0ms	(cbrt (- x (* y (* 4.0 z))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (fabs (cbrt (- x (* y (* 4.0 z))))) (sqrt (cbrt (- x (* y (* 4.0 z))))))
86.0ms	(* (sqrt (- x (* y (* 4.0 z)))) (* (fabs (cbrt (- x (* y (* 4.0 z))))) (sqrt (cbrt (- x (* y (* 4.0 z)))))))
39.0ms	(cbrt (- x (* y (* 4.0 z))))
36.0ms	(cbrt (- x (* y (* 4.0 z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5072	2383

prune266.0ms

Filtered

81 candidates to 95 candidates (-17.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes266.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

end0.0ms

sample352.0ms

Algorithm

intervals

Results

188.0ms	8000×	body	80	valid
6.0ms	287×	body	80	invalid

Details

analyze218.0ms

sample14.0ms

simplify9.0ms

prune5.0ms

localize5.0ms

rewrite3.0ms

series8.0ms

simplify37.0ms

prune21.0ms

localize9.0ms

rewrite20.0ms

series62.0ms

simplify31.0ms

prune127.0ms

localize12.0ms

rewrite28.0ms

series220.0ms

simplify46.0ms

prune266.0ms

regimes266.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample352.0ms

Profiling