Details

sample741.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 15.986224%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

8.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	47	5
2	138	5
3	317	5
4	611	5
5	1239	5
6	1919	5
7	5001	5

prune3.0ms

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 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

9.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify90.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	187	192
1	790	156
2	4301	156
3	5002	156

prune32.0ms

Filtered

19 candidates to 26 candidates (-36.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	2	27

Merged error: 0b

Counts

27 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	275	397
1	1205	366
2	5001	366

prune68.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x y))
0.0b	(sqrt (- x y))
0.2b	(/ (sqrt (- x y)) z)
0.2b	(* (sqrt (- x y)) (/ (sqrt (- x y)) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
55×	`sqrt-prod`
52×	`times-frac`
40×	`add-cube-cbrt`
28×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-div` `distribute-lft-out--` `difference-of-squares`
8×	`pow1` `associate-l` `associate-/l*`
6×	`unswap-sqr`
5×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 143

Calls

4 calls:

3.0ms	(sqrt (- x y))
3.0ms	(sqrt (- x y))
6.0ms	(/ (sqrt (- x y)) z)
17.0ms	(* (sqrt (- x y)) (/ (sqrt (- x y)) z))

series40.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (- x y))
9.0ms	(sqrt (- x y))
15.0ms	(/ (sqrt (- x y)) z)
6.0ms	(* (sqrt (- x y)) (/ (sqrt (- x y)) z))

simplify51.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	380	1047
1	1507	946
2	5001	905

prune123.0ms

Filtered

102 candidates to 155 candidates (-52.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	155	2	157

Merged error: 0b

Counts

157 → 2

regimes152.0ms

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

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 15.986224%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

250.0ms	8000×	body	80	valid
21.0ms	554×	body	80	invalid

Details

sample741.0ms

simplify52.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series10.0ms

simplify90.0ms

prune32.0ms

localize9.0ms

rewrite16.0ms

series14.0ms

simplify37.0ms

prune68.0ms

localize9.0ms

rewrite35.0ms

series40.0ms

simplify51.0ms

prune123.0ms

regimes152.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling