Details

analyze379.0ms

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample24.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	35×	body	80	invalid

simplify143.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4900	11
1	4900	11

prune8.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 0.75 (/ (- x z) y))
0.0b	(/ (- x z) y)
0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `associate-+r+` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

8.0ms	(+ 0.75 (/ (- x z) y))
5.0ms	(/ (- x z) y)
3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))

series19.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ 0.75 (/ (- x z) y))
6.0ms	(/ (- x z) y)
7.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5021	741

prune91.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	2	74

Merged error: 0b

Counts

74 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(* 4.0 (/ (- x z) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

5.0ms	(/ (- x z) y)
9.0ms	(* 4.0 (/ (- x z) y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (- x z) y)
8.0ms	(* 4.0 (/ (- x z) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4973	708
1	4973	708

prune80.0ms

Filtered

56 candidates to 82 candidates (-46.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 4.0 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-r`
8×	`add-cube-cbrt` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube` `div-inv` `add-log-exp`
3×	`sub-neg` `associate-l`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

17.0ms	(* 4.0 (- (/ x y) (/ z y)))
12.0ms	(- (/ x y) (/ z y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* 4.0 (- (/ x y) (/ z y)))
6.0ms	(- (/ x y) (/ z y))

simplify39.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4948	584
1	4948	584

prune68.0ms

Filtered

46 candidates to 61 candidates (-32.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	61	2	63

Merged error: 0b

Counts

63 → 2

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	9
1	49	9

end0.0ms

sample538.0ms

Algorithm

intervals

Results

307.0ms	8000×	body	80	valid
34.0ms	921×	body	80	invalid

Details

analyze379.0ms

sample24.0ms

simplify143.0ms

prune8.0ms

localize7.0ms

rewrite19.0ms

series19.0ms

simplify40.0ms

prune91.0ms

localize6.0ms

rewrite19.0ms

series14.0ms

simplify57.0ms

prune80.0ms

localize7.0ms

rewrite31.0ms

series13.0ms

simplify39.0ms

prune68.0ms

regimes116.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample538.0ms

Profiling