Details

analyze310.0ms

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	18×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

simplify53.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune39.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:

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

series226.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (+ x (* y (+ z x))))
48.0ms	(cbrt (+ x (* y (+ z x))))
50.0ms	(cbrt (+ x (* y (+ z x))))
78.0ms	(* (cbrt (+ x (* y (+ z x)))) (cbrt (+ x (* y (+ z x)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5324	1546

prune101.0ms

Filtered

81 candidates to 99 candidates (-22.2%)

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

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)
33.4b	(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:

5.0ms	(+ 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))

series38.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ 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))

simplify32.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5073	725

prune90.0ms

Filtered

58 candidates to 90 candidates (-55.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0.0b

Counts

93 → 3

regimes165.0ms

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	9	7
1	9	7

end0.0ms

sample345.0ms

Algorithm

intervals

Results

175.0ms	8000×	body	80	valid
12.0ms	589×	body	80	invalid

Details

analyze310.0ms

sample14.0ms

simplify4.0ms

prune5.0ms

localize5.0ms

rewrite10.0ms

series13.0ms

simplify53.0ms

prune39.0ms

localize9.0ms

rewrite18.0ms

series226.0ms

simplify65.0ms

prune101.0ms

localize8.0ms

rewrite20.0ms

series38.0ms

simplify32.0ms

prune90.0ms

regimes165.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample345.0ms

Profiling