Details

sample37.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 99.99971%

Space saved by search: 99.99971%

Guaranteed chance to sample good point: 100%

Results

11.0ms	256×	body	80	valid
10.0ms	256×	pre	80	true

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	3

prune4.0ms

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 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
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 → 24

Calls

1 calls:

8.0ms

(* a (+ (+ b c) d))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* a (+ (+ b c) d))

simplify99.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	146	114
1	738	100
2	4526	100
3	5001	100

prune41.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* a (+ b c)) (* a d))
0.0b	(* a (+ b c))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

5.0ms	(+ (* a (+ b c)) (* a d))
6.0ms	(* a (+ b c))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* a (+ b c)) (* a d))
6.0ms	(* a (+ b c))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	213	177
1	995	159
2	5001	156

prune49.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* a b) (* a c))
0.0b	(+ (+ (* a b) (* a c)) (* a d))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

3.0ms	(+ (* a b) (* a c))
6.0ms	(+ (+ (* a b) (* a c)) (* a d))

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* a b) (* a c))
10.0ms	(+ (+ (* a b) (* a c)) (* a d))

simplify109.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	184	187
1	772	160
2	3494	148
3	5003	148

prune39.0ms

Filtered

23 candidates to 32 candidates (-39.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))
0.7b	(cbrt (+ (+ b c) d))
0.7b	(cbrt (+ (+ b c) d))
0.7b	(cbrt (+ (+ b c) d))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

14.0ms	(* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))
5.0ms	(cbrt (+ (+ b c) d))
5.0ms	(cbrt (+ (+ b c) d))
5.0ms	(cbrt (+ (+ b c) d))

series177.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (+ (+ b c) d)) (cbrt (+ (+ b c) d)))
42.0ms	(cbrt (+ (+ b c) d))
40.0ms	(cbrt (+ (+ b c) d))
43.0ms	(cbrt (+ (+ b c) d))

simplify123.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	270	1018
1	860	943
2	4079	822
3	5002	808

prune97.0ms

Filtered

75 candidates to 117 candidates (-56.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0b

Counts

121 → 4

regimes457.0ms

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	10	3
1	10	3

end0.0ms

sample790.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 99.99971%

Space saved by search: 99.99971%

Guaranteed chance to sample good point: 100%

Results

323.0ms	8000×	pre	80	true
189.0ms	8000×	body	80	valid

Details

sample37.0ms

simplify8.0ms

prune4.0ms

localize6.0ms

rewrite9.0ms

series9.0ms

simplify99.0ms

prune41.0ms

localize6.0ms

rewrite12.0ms

series16.0ms

simplify37.0ms

prune49.0ms

localize8.0ms

rewrite10.0ms

series16.0ms

simplify109.0ms

prune39.0ms

localize9.0ms

rewrite33.0ms

series177.0ms

simplify123.0ms

prune97.0ms

regimes457.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample790.0ms

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