Details

analyze354.0ms

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5198	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

5.6b	(* x (/ y z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (/ y z))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* x (/ y z))

simplify62.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5355	230

prune52.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

4.9b	(/ (* x y) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* x y) z)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (* x y) z)

simplify82.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4776	149
1	4776	149

prune30.0ms

Filtered

13 candidates to 24 candidates (-84.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	24	6	30

Merged error: 0b

Counts

30 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

5.8b	(/ x (/ z y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

5.0ms

(/ x (/ z y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (/ z y))

simplify73.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5069	771

prune64.0ms

Filtered

58 candidates to 73 candidates (-25.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0b

Counts

79 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

1.5b	(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
12.6b	(cbrt (/ y z))
12.6b	(cbrt (/ y z))
12.6b	(cbrt (/ y z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
4×	`associate-*r/` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

9.0ms	(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
2.0ms	(cbrt (/ y z))
2.0ms	(cbrt (/ y z))
2.0ms	(cbrt (/ y z))

series62.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* x (* (cbrt (/ y z)) (cbrt (/ y z))))
12.0ms	(cbrt (/ y z))
12.0ms	(cbrt (/ y z))
13.0ms	(cbrt (/ y z))

simplify40.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5027	774

prune92.0ms

Filtered

77 candidates to 100 candidates (-29.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	100	5	105

Merged error: 0b

Counts

105 → 5

regimes189.0ms

Accuracy

-7.4% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.1b

bsearch6.0ms

Steps

Iters	Range		Point
4	-8.243016990065903e+26	-5.012598896049356e+26	-5.081466386586764e+26

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms

sample417.0ms

Algorithm

intervals

Results

212.0ms	8000×	body	80	valid
23.0ms	791×	body	80	invalid

Details

analyze354.0ms

sample16.0ms

simplify115.0ms

prune9.0ms

localize5.0ms

rewrite7.0ms

series5.0ms

simplify62.0ms

prune52.0ms

localize5.0ms

rewrite5.0ms

series5.0ms

simplify82.0ms

prune30.0ms

localize5.0ms

rewrite8.0ms

series5.0ms

simplify73.0ms

prune64.0ms

localize10.0ms

rewrite18.0ms

series62.0ms

simplify40.0ms

prune92.0ms

regimes189.0ms

bsearch6.0ms

simplify1.0ms

end0.0ms

sample417.0ms

Profiling