Details

sample98.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 98.673611%

Results

6.0ms	256×	body	80	valid
1.0ms	44×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	3

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: 4.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b	(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* x (+ 1.0 (* y y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	144	115
1	712	101
2	3303	100
3	5003	100

prune44.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Merged error: 4.4b

Counts

26 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
10.4b	(* x (* y y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (* y y)))
5.0ms	(* x (* y y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (* y y)))
6.0ms	(* x (* y y))

simplify75.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	167	162
1	633	137
2	2466	134
3	5001	134

prune43.0ms

Filtered

21 candidates to 37 candidates (-76.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	3	2	5
Picked	0	1	1
Done	1	0	1
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x y) y))
5.0ms	(* (* x y) y)

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x y) y))
6.0ms	(* (* x y) y)

simplify127.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	174	161
1	815	137
2	4140	129
3	5001	128

prune41.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (+ 1.0 (* y y))))
4.3b	(* x (+ 1.0 (* y y)))
4.3b	(* x (+ 1.0 (* y y)))
4.3b	(* x (+ 1.0 (* y y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`associate-*r/`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 77

Calls

4 calls:

3.0ms	(cbrt (* x (+ 1.0 (* y y))))
5.0ms	(* x (+ 1.0 (* y y)))
5.0ms	(* x (+ 1.0 (* y y)))
5.0ms	(* x (+ 1.0 (* y y)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (* x (+ 1.0 (* y y))))
9.0ms	(* x (+ 1.0 (* y y)))
9.0ms	(* x (+ 1.0 (* y y)))
9.0ms	(* x (+ 1.0 (* y y)))

simplify110.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	257	490
1	1027	434
2	4363	427
3	5001	427

prune192.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

regimes249.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample530.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 98.673611%

Results

192.0ms	8000×	body	80	valid
31.0ms	1391×	body	80	invalid

Details

sample98.0ms

simplify5.0ms

prune3.0ms

localize4.0ms

rewrite5.0ms

series14.0ms

simplify78.0ms

prune44.0ms

localize8.0ms

rewrite9.0ms

series16.0ms

simplify75.0ms

prune43.0ms

localize7.0ms

rewrite9.0ms

series16.0ms

simplify127.0ms

prune41.0ms

localize9.0ms

rewrite20.0ms

series63.0ms

simplify110.0ms

prune192.0ms

regimes249.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample530.0ms

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