Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample66.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
11.0ms	157×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune10.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

3.0ms	(+ (* x y) (* z t))
7.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series138.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (* x y) (* z t))
110.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
18.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify25.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5083	677

prune61.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))

rewrite37.0ms

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:

16.0ms	(* (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))
6.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
6.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
6.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))) (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))
49.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
48.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
51.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5050	2536

prune132.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.6b	(cbrt (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
8.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
6.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
7.0ms	(cbrt (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
83.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
63.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
49.0ms	(cbrt (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4850	1500
1	4850	1500

prune122.0ms

Filtered

58 candidates to 67 candidates (-15.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
0.6b	(cbrt (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))
0.6b	(cbrt (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
8.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
7.0ms	(cbrt (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))
7.0ms	(cbrt (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
47.0ms	(cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i)))))
51.0ms	(cbrt (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))
49.0ms	(cbrt (cbrt (+ (* x y) (+ (* z t) (+ (* a b) (* c i))))))

simplify50.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4850	1628
1	4850	1628

prune99.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

regimes1.6s

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	22	15
1	22	15

end0.0ms

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample1.3s

Algorithm

intervals

Results

424.0ms	8000×	body	80	valid
317.0ms	5622×	body	80	invalid

Details

analyze1.5s

sample66.0ms

simplify3.0ms

prune10.0ms

localize11.0ms

rewrite17.0ms

series138.0ms

simplify25.0ms

prune61.0ms

localize18.0ms

rewrite37.0ms

series221.0ms

simplify50.0ms

prune132.0ms

localize23.0ms

rewrite29.0ms

series282.0ms

simplify53.0ms

prune122.0ms

localize21.0ms

rewrite30.0ms

series196.0ms

simplify50.0ms

prune99.0ms

regimes1.6s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.5s

sample1.3s

Profiling