Details

analyze66.0ms

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
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	7
1	44	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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

4.0ms	(+ (* x y) x)
6.0ms	(+ (+ (* x y) x) y)

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x y) x)
4.0ms	(+ (+ (* x y) x) y)

simplify29.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5115	268

prune32.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

9.0ms	(* (cbrt (+ x (* x y))) (cbrt (+ x (* x y))))
3.0ms	(cbrt (+ x (* x y)))
2.0ms	(cbrt (+ x (* x y)))
2.0ms	(cbrt (+ x (* x y)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (cbrt (+ x (* x y))) (cbrt (+ x (* x y))))
14.0ms	(cbrt (+ x (* x y)))
14.0ms	(cbrt (+ x (* x y)))
16.0ms	(cbrt (+ x (* x y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4944	1326
1	4944	1326

prune105.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* x y)))
0.6b	(cbrt (+ x (* x y)))
0.6b	(cbrt (+ x (* x y)))
1.2b	(pow (cbrt (cbrt (+ x (* x y)))) 6)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (+ x (* x y)))
4.0ms	(cbrt (+ x (* x y)))
2.0ms	(cbrt (+ x (* x y)))
5.0ms	(pow (cbrt (cbrt (+ x (* x y)))) 6)

series70.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (+ x (* x y)))
13.0ms	(cbrt (+ x (* x y)))
14.0ms	(cbrt (+ x (* x y)))
29.0ms	(pow (cbrt (cbrt (+ x (* x y)))) 6)

simplify55.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5049	879

prune99.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	75	2	77

Merged error: 0b

Counts

77 → 2

regimes96.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample306.0ms

Algorithm

intervals

Results

173.0ms	7999×	body	80	valid
2.0ms	85×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze66.0ms

sample13.0ms

simplify4.0ms

prune5.0ms

localize4.0ms

rewrite10.0ms

series12.0ms

simplify29.0ms

prune32.0ms

localize9.0ms

rewrite19.0ms

series62.0ms

simplify53.0ms

prune105.0ms

localize16.0ms

rewrite16.0ms

series70.0ms

simplify55.0ms

prune99.0ms

regimes96.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample306.0ms

Profiling