Details

analyze76.0ms

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	24	7

prune2.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)

rewrite10.0ms

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:

10.0ms

(- (* (+ x 1.0) y) x)

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(- (* (+ x 1.0) y) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4940	147
1	4940	147

prune39.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

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: 0.0b

Counts

15 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
0.6b	(cbrt (- (* (+ x 1.0) y) x))
0.6b	(cbrt (- (* (+ x 1.0) y) x))
0.6b	(cbrt (- (* (+ x 1.0) y) x))

rewrite33.0ms

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 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
5.0ms	(cbrt (- (* (+ x 1.0) y) x))
5.0ms	(cbrt (- (* (+ x 1.0) y) x))
6.0ms	(cbrt (- (* (+ x 1.0) y) x))

series86.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
18.0ms	(cbrt (- (* (+ x 1.0) y) x))
19.0ms	(cbrt (- (* (+ x 1.0) y) x))
21.0ms	(cbrt (- (* (+ x 1.0) y) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4947	1633
1	4947	1633

prune210.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

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: 0.0b

Counts

102 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* (+ x 1.0) y) x))
0.0b	(- (* (+ x 1.0) y) x)
0.0b	(- (* (+ x 1.0) y) x)
0.3b	(* (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

5.0ms	(sqrt (- (* (+ x 1.0) y) x))
6.0ms	(- (* (+ x 1.0) y) x)
5.0ms	(- (* (+ x 1.0) y) x)
17.0ms	(* (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (- (* (+ x 1.0) y) x))
5.0ms	(- (* (+ x 1.0) y) x)
5.0ms	(- (* (+ x 1.0) y) x)
5.0ms	(* (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)))

simplify33.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5327	1253

prune117.0ms

Filtered

60 candidates to 106 candidates (-76.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Merged error: 0.0b

Counts

109 → 3

regimes106.0ms

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	8	7
1	8	7

end0.0ms

analyze59.0ms

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

sample284.0ms

Algorithm

intervals

Results

167.0ms	7998×	body	80	valid
2.0ms	82×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze76.0ms

sample12.0ms

simplify3.0ms

prune2.0ms

localize5.0ms

rewrite10.0ms

series8.0ms

simplify58.0ms

prune39.0ms

localize8.0ms

rewrite33.0ms

series86.0ms

simplify48.0ms

prune210.0ms

localize7.0ms

rewrite36.0ms

series31.0ms

simplify33.0ms

prune117.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze59.0ms

sample284.0ms

Profiling