Details

analyze305.0ms

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	243×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	21×	body	80	invalid
0.0ms	6×	body	320	valid
0.0ms	2×	body	640	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

prune3.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* x (+ y z))
8.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify23.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5230	356

prune46.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite32.0ms

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:

14.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
5.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
5.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
5.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
42.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
46.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
42.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify36.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5305	1856

prune214.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ y z))
0.1b	(sqrt (+ (* x (+ y z)) (* z 5.0)))
0.1b	(sqrt (+ (* x (+ y z)) (* z 5.0)))
0.3b	(* (sqrt (+ (* x (+ y z)) (* z 5.0))) (sqrt (+ (* x (+ y z)) (* z 5.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
10×	`sqrt-pow1` `pow1/2` `associate-r`
9×	`flip3-+` `associate-l` `flip-+`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 110

Calls

4 calls:

5.0ms	(* x (+ y z))
6.0ms	(sqrt (+ (* x (+ y z)) (* z 5.0)))
5.0ms	(sqrt (+ (* x (+ y z)) (* z 5.0)))
16.0ms	(* (sqrt (+ (* x (+ y z)) (* z 5.0))) (sqrt (+ (* x (+ y z)) (* z 5.0))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (+ y z))
18.0ms	(sqrt (+ (* x (+ y z)) (* z 5.0)))
18.0ms	(sqrt (+ (* x (+ y z)) (* z 5.0)))
8.0ms	(* (sqrt (+ (* x (+ y z)) (* z 5.0))) (sqrt (+ (* x (+ y z)) (* z 5.0))))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5349	1560

prune337.0ms

Filtered

70 candidates to 122 candidates (-74.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b	(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
8.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
5.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
5.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
44.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
42.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
42.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5236	992

prune181.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

regimes247.0ms

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	9
1	12	9

end0.0ms

analyze303.0ms

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample402.0ms

Algorithm

intervals

Results

190.0ms	7680×	body	80	valid
19.0ms	125×	body	1280	valid
18.0ms	638×	body	80	invalid
10.0ms	108×	body	640	valid
4.0ms	63×	body	320	valid
1.0ms	24×	body	160	valid

Details

analyze305.0ms

sample16.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series16.0ms

simplify23.0ms

prune46.0ms

localize12.0ms

rewrite32.0ms

series199.0ms

simplify36.0ms

prune214.0ms

localize9.0ms

rewrite36.0ms

series50.0ms

simplify52.0ms

prune337.0ms

localize14.0ms

rewrite24.0ms

series169.0ms

simplify37.0ms

prune181.0ms

regimes247.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze303.0ms

sample402.0ms

Profiling