Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify95.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

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

prune47.0ms

Filtered

27 candidates to 17 candidates (63.0%)

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: 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))

rewrite15.0ms

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:

8.0ms	(+ (* a (+ b c)) (* a d))
6.0ms	(* a (+ b c))

series57.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* a (+ b c)) (* a d))
25.0ms	(* a (+ b c))

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

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

prune79.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Merged error: 0.0b

Counts

47 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (+ c d))
0.1b	(+ (* a b) (* a (+ c d)))

rewrite11.0ms

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-+r+` `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:

6.0ms	(* a (+ c d))
4.0ms	(+ (* a b) (* a (+ c d)))

series60.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* a (+ c d))
33.0ms	(+ (* a b) (* a (+ c d)))

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	214	178
1	982	158
2	5002	156

prune84.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	42	6	48

Merged error: 0b

Counts

48 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
0.3b	(* a (sqrt (+ b c)))
0.4b	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

3.0ms	(sqrt (+ b c))
12.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
7.0ms	(* a (sqrt (+ b c)))
12.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (+ b c))
62.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
60.0ms	(* a (sqrt (+ b c)))
50.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	437	646
1	1933	533
2	5001	513

prune184.0ms

Filtered

94 candidates to 63 candidates (67.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	94	6	100

Merged error: 0b

Counts

100 → 6

regimes142.0ms

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	4
1	12	4

end0.0ms

sample515.0ms

Algorithm

intervals

Results

184.0ms	8000×	pre	80	true
145.0ms	8000×	body	80	valid