Details

sample787.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 15.863037%

Guaranteed chance to sample good point: 84.628219%

Results

18.0ms	256×	body	80	valid
1.0ms	9×	body	80	invalid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (43.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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	(+ 0.25 (/ (- x z) y))
6.0ms	(/ (- x z) y)
3.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series19.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ 0.25 (/ (- x z) y))
6.0ms	(/ (- x z) y)
7.0ms	(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify31.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	326	399
1	1055	367
2	5001	367

prune83.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	71	4	75

Merged error: 0b

Counts

75 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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)))
17.0ms	(* 4.0 (/ (- x z) y))
10.0ms	(/ (- x z) y)

series23.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify45.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	344	492
1	1510	453
2	5001	453

prune87.0ms

Filtered

66 candidates to 96 candidates (-45.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	97	3	100

Merged error: 0b

Counts

100 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

4.0ms	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
14.0ms	(- (/ x y) (/ z y))
16.0ms	(* 4.0 (- (/ x y) (/ z y)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	303	474
1	1198	442
2	5001	442

prune73.0ms

Filtered

57 candidates to 82 candidates (-43.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Merged error: 0b

Counts

85 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.0 (* 4.0 (/ 1 (/ y (- x z)))))
0.0b	(* 4.0 (/ 1 (/ y (- x z))))
0.0b	(/ y (- x z))
0.5b	(/ 1 (/ y (- x z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
186×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
122×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*` `add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 253

Calls

4 calls:

2.0ms	(+ 2.0 (* 4.0 (/ 1 (/ y (- x z)))))
21.0ms	(* 4.0 (/ 1 (/ y (- x z))))
5.0ms	(/ y (- x z))
11.0ms	(/ 1 (/ y (- x z)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ 2.0 (* 4.0 (/ 1 (/ y (- x z)))))
9.0ms	(* 4.0 (/ 1 (/ y (- x z))))
7.0ms	(/ y (- x z))
7.0ms	(/ 1 (/ y (- x z)))

simplify87.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	774	1791
1	3877	1578
2	5001	1382

prune176.0ms

Filtered

152 candidates to 265 candidates (-74.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	265	3	268

Merged error: 0b

Counts

268 → 3

regimes122.0ms

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	12	5
1	12	5

end0.0ms

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 15.863037%

Guaranteed chance to sample good point: 84.628219%

Results

304.0ms	8000×	body	80	valid
19.0ms	520×	body	80	invalid

Details

sample787.0ms

simplify109.0ms

prune11.0ms

localize7.0ms

rewrite18.0ms

series19.0ms

simplify31.0ms

prune83.0ms

localize6.0ms

rewrite37.0ms

series23.0ms

simplify45.0ms

prune87.0ms

localize8.0ms

rewrite38.0ms

series21.0ms

simplify40.0ms

prune73.0ms

localize8.0ms

rewrite53.0ms

series29.0ms

simplify87.0ms

prune176.0ms

regimes122.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling