Details

analyze555.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	34×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune3.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x y) (* z t))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(+ (* x y) (* z t))

simplify69.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4873	141
1	4873	141

prune19.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite24.0ms

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:

11.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
38.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))
39.0ms	(cbrt (+ (* x y) (* z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4917	1443
1	4917	1443

prune113.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (+ (* x y) (* z t)))
39.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))
38.0ms	(cbrt (+ (* x y) (* z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4995	812
1	4995	812

prune140.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (- (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
25.1b	(cbrt (- (pow (* x y) 2) (pow (* z t) 2)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`difference-of-squares`
8×	`add-cube-cbrt` `cbrt-div`
6×	`unpow2` `sqr-pow`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`distribute-lft-out--`

Counts

4 → 62

Calls

4 calls:

4.0ms	(cbrt (- (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
6.0ms	(cbrt (- (pow (* x y) 2) (pow (* z t) 2)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (- (* x y) (* z t)))
38.0ms	(cbrt (+ (* x y) (* z t)))
39.0ms	(cbrt (+ (* x y) (* z t)))
45.0ms	(cbrt (- (pow (* x y) 2) (pow (* z t) 2)))

simplify51.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5391	1054

prune125.0ms

Filtered

59 candidates to 74 candidates (-25.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	74	4	78

Merged error: 0b

Counts

78 → 4

regimes405.0ms

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	10	7
1	10	7

end0.0ms

sample483.0ms

Algorithm

intervals

Results

212.0ms	8000×	body	80	valid
39.0ms	1338×	body	80	invalid

Details

analyze555.0ms

sample18.0ms

simplify3.0ms

prune3.0ms

localize9.0ms

rewrite4.0ms

series10.0ms

simplify69.0ms

prune19.0ms

localize9.0ms

rewrite24.0ms

series164.0ms

simplify49.0ms

prune113.0ms

localize15.0ms

rewrite18.0ms

series150.0ms

simplify50.0ms

prune140.0ms

localize20.0ms

rewrite19.0ms

series163.0ms

simplify51.0ms

prune125.0ms

regimes405.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample483.0ms

Profiling