Details

analyze264.0ms

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

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

prune6.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4948	179
1	4948	179

prune24.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* y (* 4.0 z)))) (cbrt (- (* x x) (* y (* 4.0 z)))))
1.6b	(cbrt (- (* x x) (* y (* 4.0 z))))
1.6b	(cbrt (- (* x x) (* y (* 4.0 z))))
1.6b	(cbrt (- (* x x) (* y (* 4.0 z))))

rewrite22.0ms

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:

10.0ms	(* (cbrt (- (* x x) (* y (* 4.0 z)))) (cbrt (- (* x x) (* y (* 4.0 z)))))
3.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))
3.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))
3.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (- (* x x) (* y (* 4.0 z)))) (cbrt (- (* x x) (* y (* 4.0 z)))))
26.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))
24.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))
24.0ms	(cbrt (- (* x x) (* y (* 4.0 z))))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4913	1651
1	4913	1651

prune181.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* y (* 4.0 z)))
0.2b	(* (sqrt (- (* x x) (* y (* 4.0 z)))) (sqrt (- (* x x) (* y (* 4.0 z)))))
1.1b	(sqrt (- (* x x) (* y (* 4.0 z))))
1.1b	(sqrt (- (* x x) (* y (* 4.0 z))))

rewrite23.0ms

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 x) (* y (* 4.0 z)))
11.0ms	(* (sqrt (- (* x x) (* y (* 4.0 z)))) (sqrt (- (* x x) (* y (* 4.0 z)))))
3.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
3.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* x x) (* y (* 4.0 z)))
9.0ms	(* (sqrt (- (* x x) (* y (* 4.0 z)))) (sqrt (- (* x x) (* y (* 4.0 z)))))
14.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))
14.0ms	(sqrt (- (* x x) (* y (* 4.0 z))))

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4953	1456
1	4953	1456

prune122.0ms

Filtered

66 candidates to 110 candidates (-66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes313.0ms

Accuracy

0% (0.1b 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	10	9
1	10	9

end0.0ms

analyze256.0ms

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

sample396.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
12.0ms	452×	body	80	invalid

Details

analyze264.0ms

sample18.0ms

simplify3.0ms

prune6.0ms

localize6.0ms

rewrite3.0ms

series9.0ms

simplify34.0ms

prune24.0ms

localize12.0ms

rewrite22.0ms

series102.0ms

simplify65.0ms

prune181.0ms

localize8.0ms

rewrite23.0ms

series45.0ms

simplify52.0ms

prune122.0ms

regimes313.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze256.0ms

sample396.0ms

Profiling