Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

375×

body

valid

simplify262.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3199	4
12	5003	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite11.0ms

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-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ (* 3 (* z z)) (* x y))
5.0ms	(* 3 (* z z))

series57.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* 3 (* z z)) (* x y))
23.0ms	(* 3 (* z z))

simplify75.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	166	163
1	617	147
2	2424	143
3	5003	143

prune59.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.2b	(* (* 3 z) z)

rewrite10.0ms

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:

4.0ms	(+ (* (* 3 z) z) (* x y))
5.0ms	(* (* 3 z) z)

series59.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (* 3 z) z) (* x y))
24.0ms	(* (* 3 z) z)

simplify130.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	175	161
1	815	145
2	4087	142
3	5001	141

prune51.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

5.0ms	(+ (+ (* x y) (* z z)) (* z z))
4.0ms	(+ (* x y) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series130.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (+ (* x y) (* z z)) (* z z))
38.0ms	(+ (* x y) (* z z))
48.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify125.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	215	352
1	978	316
2	3975	293
3	5001	282

prune79.0ms

Filtered

47 candidates to 34 candidates (72.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b	(* (cbrt 3) (* z z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

11.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
11.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
6.0ms	(* (cbrt 3) (* z z))

series214.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
84.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
46.0ms	(* (cbrt 3) (* z z))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	265	553
1	1032	424
2	5002	369

prune92.0ms

Filtered

71 candidates to 39 candidates (54.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

regimes181.0ms

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	12	4
1	12	4

end0.0ms

sample550.0ms

Algorithm

intervals

Results

305.0ms

12236×

body

valid

Details

sample22.0ms

simplify262.0ms

prune5.0ms

localize6.0ms

rewrite11.0ms

series57.0ms

simplify75.0ms

prune59.0ms

localize6.0ms

rewrite10.0ms

series59.0ms

simplify130.0ms

prune51.0ms

localize7.0ms

rewrite18.0ms

series130.0ms

simplify125.0ms

prune79.0ms

localize10.0ms

rewrite31.0ms

series214.0ms

simplify41.0ms

prune92.0ms

regimes181.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample550.0ms

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