Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	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))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4970	212
1	4970	212

prune57.0ms

Filtered

20 candidates to 27 candidates (-35.0%)

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: 0b

Counts

28 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

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

series22.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* a (+ b c))
15.0ms	(+ (* a (+ b c)) (* a d))

simplify46.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4966	321
1	4966	321

prune39.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	44	3	47

Merged error: 0b

Counts

47 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

5.0ms	(* a (+ c d))
4.0ms	(+ (* a b) (* a (+ c d)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* a (+ c d))
11.0ms	(+ (* a b) (* a (+ c d)))

simplify35.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5131	319

prune36.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b (+ c d)))
0.4b	(* (sqrt a) (sqrt (+ b (+ c d))))
0.4b	(* (sqrt a) (sqrt (+ b (+ c d))))
0.5b	(* (* (sqrt a) (sqrt (+ b (+ c d)))) (* (sqrt a) (sqrt (+ b (+ c d)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
30×	`add-sqr-sqrt`
29×	`sqrt-prod`
28×	`*-un-lft-identity`
21×	`sqrt-pow1` `pow1/2`
20×	`add-exp-log` `add-cbrt-cube`
18×	`sqrt-div` `associate-*r/`
17×	`associate-r`
13×	`add-cube-cbrt` `associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `associate-*l/`
1×	`pow2` `rem-sqrt-square` `swap-sqr` `rem-square-sqrt`

Counts

4 → 137

Calls

4 calls:

5.0ms	(sqrt (+ b (+ c d)))
10.0ms	(* (sqrt a) (sqrt (+ b (+ c d))))
10.0ms	(* (sqrt a) (sqrt (+ b (+ c d))))
21.0ms	(* (* (sqrt a) (sqrt (+ b (+ c d)))) (* (sqrt a) (sqrt (+ b (+ c d)))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (+ b (+ c d)))
45.0ms	(* (sqrt a) (sqrt (+ b (+ c d))))
49.0ms	(* (sqrt a) (sqrt (+ b (+ c d))))
15.0ms	(* (* (sqrt a) (sqrt (+ b (+ c d)))) (* (sqrt a) (sqrt (+ b (+ c d)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4996	1511
1	4996	1511

prune90.0ms

Filtered

84 candidates to 149 candidates (-77.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	149	3	152

Merged error: 0b

Counts

152 → 3

regimes361.0ms

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

sample640.0ms

Algorithm

intervals

Results

295.0ms	8000×	pre	80	true
180.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample24.0ms

simplify3.0ms

prune6.0ms

localize5.0ms

rewrite9.0ms

series8.0ms

simplify37.0ms

prune57.0ms

localize10.0ms

rewrite21.0ms

series22.0ms

simplify46.0ms

prune39.0ms

localize6.0ms

rewrite10.0ms

series17.0ms

simplify35.0ms

prune36.0ms

localize9.0ms

rewrite50.0ms

series118.0ms

simplify43.0ms

prune90.0ms

regimes361.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample640.0ms

Profiling