Details

analyze79.0ms

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4828	17
1	4828	17

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b (* b 4.0)) 1.0)
0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`unpow-prod-down` `pow-unpow` `sum-log`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+`
1×	`pow-to-exp` `associate-+r-` `associate-+r+` `flip3--` `pow-pow` `pow-exp` `flip--` `distribute-lft-out` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

8.0ms	(- (* b (* b 4.0)) 1.0)
4.0ms	(+ (* a a) (* b b))
11.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series49.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* b (* b 4.0)) 1.0)
5.0ms	(+ (* a a) (* b b))
16.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify81.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4872	889
1	4872	889

prune101.0ms

Filtered

48 candidates to 66 candidates (-37.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	3	67

Merged error: 0.0b

Counts

67 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0))
0.1b	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0)) 3)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
14.4b	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0)) 3))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`unpow-prod-down`
9×	`add-log-exp`
8×	`cube-prod`
6×	`pow1` `add-exp-log` `pow-unpow`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`cube-div`
3×	`flip3-+` `flip-+` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `pow-pow` `unpow3` `pow-exp` `sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+r+` `pow1/3` `diff-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 84

Calls

4 calls:

11.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0))
15.0ms	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0)) 3)
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
12.0ms	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0)) 3))

series155.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0))
100.0ms	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0)) 3)
22.0ms	(pow (+ (* a a) (* b b)) 2.0)
16.0ms	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (- (* b (* b 4.0)) 1.0)) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4912	2026
1	4912	2026

prune126.0ms

Filtered

59 candidates to 96 candidates (-62.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0.0b

Counts

99 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow b 4) (* a (* a (* b (* b 2)))))
0.3b	(* a (* a (* b (* b 2))))
0.5b	(* a (* b (* b 2)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 56

Calls

3 calls:

5.0ms	(+ (pow b 4) (* a (* a (* b (* b 2)))))
9.0ms	(* a (* a (* b (* b 2))))
7.0ms	(* a (* b (* b 2)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (pow b 4) (* a (* a (* b (* b 2)))))
7.0ms	(* a (* a (* b (* b 2))))
7.0ms	(* a (* b (* b 2)))

simplify58.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4969	647
1	4969	647

prune63.0ms

Filtered

32 candidates to 65 candidates (-103.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	65	3	68

Merged error: 0.0b

Counts

68 → 3

regimes105.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	17
1	27	17

end0.0ms

sample465.0ms

Algorithm

intervals

Results

344.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze79.0ms

sample18.0ms

simplify67.0ms

prune7.0ms

localize11.0ms

rewrite29.0ms

series49.0ms

simplify81.0ms

prune101.0ms

localize14.0ms

rewrite46.0ms

series155.0ms

simplify61.0ms

prune126.0ms

localize10.0ms

rewrite23.0ms

series26.0ms

simplify58.0ms

prune63.0ms

regimes105.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample465.0ms

Profiling