Details

analyze345.0ms

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	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

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	30×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(+ 0.25 (/ (- x z) y))
0.0b	(+ 1.0 (* 4.0 (+ 0.25 (/ (- 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:

5.0ms	(/ (- x z) y)
8.0ms	(+ 0.25 (/ (- x z) y))
3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series22.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- x z) y)
5.0ms	(+ 0.25 (/ (- x z) y))
10.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify47.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5898	740

prune80.0ms

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 3 expressions with local error:

0.0b	(+ 2.0 (* 4.0 (/ (- x z) y)))
0.0b	(/ (- x z) y)
0.0b	(* 4.0 (/ (- x z) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

5.0ms	(+ 2.0 (* 4.0 (/ (- x z) y)))
5.0ms	(/ (- x z) y)
9.0ms	(* 4.0 (/ (- x z) y))

series21.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 2.0 (* 4.0 (/ (- x z) y)))
6.0ms	(/ (- x z) y)
8.0ms	(* 4.0 (/ (- x z) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4971	889
1	4971	889

prune81.0ms

Filtered

66 candidates to 96 candidates (-45.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	96	2	98

Merged error: 0b

Counts

98 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 2.0 (* (* 4.0 (- x z)) (/ 1 y)))
0.2b	(* (* 4.0 (- x z)) (/ 1 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`pow1`
6×	`cbrt-unprod`
5×	`associate-*r/`
4×	`div-exp` `add-log-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `1-exp` `associate-*l/` `flip--`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `un-div-inv` `*-commutative` `flip-+` `div-inv`

Counts

2 → 53

Calls

2 calls:

4.0ms	(+ 2.0 (* (* 4.0 (- x z)) (/ 1 y)))
12.0ms	(* (* 4.0 (- x z)) (/ 1 y))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 2.0 (* (* 4.0 (- x z)) (/ 1 y)))
8.0ms	(* (* 4.0 (- x z)) (/ 1 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5631	573

prune51.0ms

Filtered

35 candidates to 59 candidates (-68.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	2	61

Merged error: 0b

Counts

61 → 2

regimes115.0ms

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	21	9
1	21	9

end0.0ms

sample520.0ms

Algorithm

intervals

Results

292.0ms	8000×	body	80	valid
37.0ms	957×	body	80	invalid

Details

analyze345.0ms

sample20.0ms

simplify51.0ms

prune7.0ms

localize8.0ms

rewrite19.0ms

series22.0ms

simplify47.0ms

prune80.0ms

localize6.0ms

rewrite23.0ms

series21.0ms

simplify50.0ms

prune81.0ms

localize7.0ms

rewrite17.0ms

series15.0ms

simplify43.0ms

prune51.0ms

regimes115.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample520.0ms

Profiling