Details

analyze247.0ms

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
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	7
1	51	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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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-+r+` `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:

3.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* y (+ z x)))
7.0ms	(* y (+ z x))

simplify59.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune45.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+ x (+ (* y z) (* y x)))
4.0ms	(+ (* y z) (* y x))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (+ (* y z) (* y x)))
7.0ms	(+ (* y z) (* y x))

simplify44.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5072	279

prune32.0ms

Filtered

21 candidates to 32 candidates (-52.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt y) (cbrt y))
22.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune73.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* y (+ z x)) 3)))
0.0b	(* y (+ z x))
0.3b	(pow (* y (+ z x)) 3)
31.5b	(cbrt (pow (* y (+ z x)) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

4.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
6.0ms	(* y (+ z x))
6.0ms	(pow (* y (+ z x)) 3)
2.0ms	(cbrt (pow (* y (+ z x)) 3))

series33.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
8.0ms	(* y (+ z x))
11.0ms	(pow (* y (+ z x)) 3)
6.0ms	(cbrt (pow (* y (+ z x)) 3))

simplify21.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5073	725

prune85.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0b

Counts

94 → 4

regimes136.0ms

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	11	9
1	11	9

end0.0ms

sample347.0ms

Algorithm

intervals

Results

177.0ms	8000×	body	80	valid
13.0ms	611×	body	80	invalid

Details

analyze247.0ms

sample14.0ms

simplify4.0ms

prune5.0ms

localize5.0ms

rewrite10.0ms

series13.0ms

simplify59.0ms

prune45.0ms

localize6.0ms

rewrite12.0ms

series14.0ms

simplify44.0ms

prune32.0ms

localize8.0ms

rewrite12.0ms

series90.0ms

simplify46.0ms

prune73.0ms

localize8.0ms

rewrite20.0ms

series33.0ms

simplify21.0ms

prune85.0ms

regimes136.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample347.0ms

Profiling