Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample33.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	131×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune12.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

6.0ms	(+ (+ (* x y) (* z t)) (* a b))
4.0ms	(+ (* x y) (* z t))

series29.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (+ (* x y) (* z t)) (* a b))
10.0ms	(+ (* x y) (* z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5019	369

prune47.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.4b	(cbrt (+ (* x y) (* z t)))
2.4b	(cbrt (+ (* x y) (* z t)))
2.4b	(cbrt (+ (* x y) (* z t)))

rewrite23.0ms

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)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
35.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))
38.0ms	(cbrt (+ (* x y) (* z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4917	1443
1	4917	1443

prune128.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

2.4b	(cbrt (+ (* x y) (* z t)))
2.4b	(cbrt (+ (* x y) (* z t)))
3.3b	(- (pow (* x y) 2) (pow (* z t) 2))
28.7b	(cbrt (- (pow (* x y) 2) (pow (* z t) 2)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod` `add-sqr-sqrt`
18×	`difference-of-squares`
12×	`unpow2` `sqr-pow`
11×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out--`
1×	`sub-neg` `diff-log`

Counts

4 → 70

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(- (pow (* x y) 2) (pow (* z t) 2))
7.0ms	(cbrt (- (pow (* x y) 2) (pow (* z t) 2)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))
32.0ms	(- (pow (* x y) 2) (pow (* z t) 2))
43.0ms	(cbrt (- (pow (* x y) 2) (pow (* z t) 2)))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5212	1189

prune146.0ms

Filtered

60 candidates to 82 candidates (-36.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.0b	(+ (* x y) (* z t))
0.2b	(pow (+ (* x y) (* z t)) 3)
37.8b	(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

9.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
4.0ms	(+ (* x y) (* z t))
5.0ms	(pow (+ (* x y) (* z t)) 3)
5.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

series73.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
9.0ms	(+ (* x y) (* z t))
34.0ms	(pow (+ (* x y) (* z t)) 3)
10.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4930	1013
1	4930	1013

prune79.0ms

Filtered

51 candidates to 82 candidates (-60.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

regimes846.0ms

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	16	11
1	16	11

end0.0ms

sample900.0ms

Algorithm

intervals

Results

315.0ms	8000×	body	80	valid
160.0ms	4037×	body	80	invalid

Details

analyze1.2s

sample33.0ms

simplify3.0ms

prune12.0ms

localize9.0ms

rewrite11.0ms

series29.0ms

simplify43.0ms

prune47.0ms

localize13.0ms

rewrite23.0ms

series156.0ms

simplify50.0ms

prune128.0ms

localize27.0ms

rewrite23.0ms

series145.0ms

simplify52.0ms

prune146.0ms

localize12.0ms

rewrite24.0ms

series73.0ms

simplify50.0ms

prune79.0ms

regimes846.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample900.0ms

Profiling