Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

428×

body

valid

simplify276.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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	3185	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))
0.3b	(* 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))

series61.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* 3 (* z z)) (* x y))
24.0ms	(* 3 (* z z))

simplify77.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

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

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.1b	(* (* 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)

series61.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (* 3 z) z) (* x y))
24.0ms	(* (* 3 z) z)

simplify128.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (125.0ms)

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

prune52.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Merged error: 0.0b

Counts

41 → 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))

rewrite17.0ms

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))
3.0ms	(+ (* x y) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series132.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (+ (* x y) (* z z)) (* z z))
39.0ms	(+ (* x y) (* z z))
46.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify131.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (126.0ms)

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

prune86.0ms

Filtered

47 candidates to 34 candidates (72.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize9.0ms

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)))
0.2b	(* (cbrt 3) (* z z))

rewrite33.0ms

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:

12.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
13.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
6.0ms	(* (cbrt 3) (* z z))

series228.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
90.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
51.0ms	(* (cbrt 3) (* z z))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	265	553
1	1032	424
2	5002	368

prune94.0ms

Filtered

71 candidates to 39 candidates (54.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

regimes195.0ms

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

sample583.0ms

Algorithm

intervals

Results

343.0ms

12210×

body

valid

Details

sample26.0ms

simplify276.0ms

prune5.0ms

localize6.0ms

rewrite11.0ms

series61.0ms

simplify77.0ms

prune59.0ms

localize6.0ms

rewrite10.0ms

series61.0ms

simplify128.0ms

prune52.0ms

localize7.0ms

rewrite17.0ms

series132.0ms

simplify131.0ms

prune86.0ms

localize9.0ms

rewrite33.0ms

series228.0ms

simplify45.0ms

prune94.0ms

regimes195.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample583.0ms

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