Details

sample424.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.505859%

Guaranteed chance to sample good point: 88.990413%

Results

9.0ms	256×	body	80	valid
1.0ms	37×	body	80	invalid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	750	3
11	1136	3
12	1818	3
13	5002	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

6.0ms	(* y (- z x))
6.0ms	(+ x (* y (- z x)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* y (- z x))
15.0ms	(+ x (* y (- z x)))

simplify90.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3521	165
3	5003	165

prune55.0ms

Filtered

29 candidates to 47 candidates (-62.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series94.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
25.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify71.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune75.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series85.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify121.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (22.0ms)

Iter	Nodes	Cost
0	59	204
1	101	188
2	205	148
3	559	144
4	2708	128
5	5002	128

prune74.0ms

Filtered

44 candidates to 56 candidates (-27.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	56	5	61

Merged error: 0b

Counts

61 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow1` `add-exp-log` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt` `associate-+r+`
7×	`sqrt-prod`
6×	`associate-r/` `associate-r*`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 80

Calls

3 calls:

4.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
7.0ms	(* (sqrt y) (- z x))
9.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
14.0ms	(* (sqrt y) (- z x))
13.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	359	473
1	1563	404
2	5001	399

prune62.0ms

Filtered

56 candidates to 89 candidates (-58.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	89	5	94

Merged error: 0b

Counts

94 → 5

regimes210.0ms

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	8	3
1	8	3

end0.0ms

sample884.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.505859%

Guaranteed chance to sample good point: 88.990413%

Results

187.0ms	8000×	body	80	valid
34.0ms	1401×	body	80	invalid

Details

sample424.0ms

simplify81.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series22.0ms

simplify90.0ms

prune55.0ms

localize9.0ms

rewrite11.0ms

series94.0ms

simplify71.0ms

prune75.0ms

localize14.0ms

rewrite5.0ms

series85.0ms

simplify121.0ms

prune74.0ms

localize7.0ms

rewrite22.0ms

series37.0ms

simplify44.0ms

prune62.0ms

regimes210.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample884.0ms

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