Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

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))

simplify41.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4970	212
1	4970	212

prune39.0ms

Filtered

20 candidates to 27 candidates (-35.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* a (+ b c))
10.0ms	(+ (* a (+ b c)) (* a d))

simplify45.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4966	321
1	4966	321

prune42.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.0b	(sqrt (+ b (+ c d)))
0.2b	(* a (sqrt (+ b (+ c d))))
0.4b	(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ (+ b c) d)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt (+ (+ b c) d))
5.0ms	(sqrt (+ b (+ c d)))
8.0ms	(* a (sqrt (+ b (+ c d))))
15.0ms	(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ (+ b c) d)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (+ (+ b c) d))
15.0ms	(sqrt (+ b (+ c d)))
31.0ms	(* a (sqrt (+ b (+ c d))))
50.0ms	(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ (+ b c) d)))

simplify37.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5014	1178

prune87.0ms

Filtered

70 candidates to 103 candidates (-47.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (+ b (+ c d)) (sqrt a))
0.4b	(* (sqrt a) (* (+ b (+ c d)) (sqrt a)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(* (+ b (+ c d)) (sqrt a))
10.0ms	(* (sqrt a) (* (+ b (+ c d)) (sqrt a)))

series32.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ b (+ c d)) (sqrt a))
17.0ms	(* (sqrt a) (* (+ b (+ c d)) (sqrt a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4955	499
1	4955	499

prune41.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Merged error: 0b

Counts

59 → 4

regimes262.0ms

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	12	9
1	12	9

end0.0ms

sample875.0ms

Algorithm

intervals

Results

312.0ms	8000×	pre	80	true
195.0ms	8000×	body	80	valid

Details

sample29.0ms

simplify3.0ms

prune6.0ms

localize5.0ms

rewrite9.0ms

series9.0ms

simplify41.0ms

prune39.0ms

localize6.0ms

rewrite13.0ms

series16.0ms

simplify45.0ms

prune42.0ms

localize12.0ms

rewrite36.0ms

series112.0ms

simplify37.0ms

prune87.0ms

localize7.0ms

rewrite20.0ms

series32.0ms

simplify59.0ms

prune41.0ms

regimes262.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample875.0ms

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