Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite14.0ms

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:

13.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5277	212

prune41.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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

series19.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* a (+ b c)) (* a d))
7.0ms	(* a (+ b c))

simplify29.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5739	319

prune46.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

11.0ms	(+ (* (sqrt a) (* (+ b c) (sqrt a))) (* a d))
8.0ms	(* (+ b c) (sqrt a))
10.0ms	(* (sqrt a) (* (+ b c) (sqrt a)))

series46.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* (sqrt a) (* (+ b c) (sqrt a))) (* a d))
11.0ms	(* (+ b c) (sqrt a))
13.0ms	(* (sqrt a) (* (+ b c) (sqrt a)))

simplify25.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5022	556

prune69.0ms

Filtered

52 candidates to 68 candidates (-30.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0b

Counts

71 → 3

localize14.0ms

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)))

rewrite42.0ms

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:

6.0ms	(sqrt (+ (+ b c) d))
6.0ms	(sqrt (+ b (+ c d)))
10.0ms	(* a (sqrt (+ b (+ c d))))
18.0ms	(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ (+ b c) d)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (+ (+ b c) d))
13.0ms	(sqrt (+ b (+ c d)))
22.0ms	(* a (sqrt (+ b (+ c d))))
26.0ms	(* (* a (sqrt (+ b (+ c d)))) (sqrt (+ (+ b c) d)))

simplify33.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5677	1150

prune90.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes376.0ms

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	7
1	10	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

428.0ms	8000×	body	80	valid
327.0ms	8000×	pre	80	true

Details

sample33.0ms

simplify3.0ms

prune6.0ms

localize5.0ms

rewrite14.0ms

series10.0ms

simplify37.0ms

prune41.0ms

localize7.0ms

rewrite16.0ms

series19.0ms

simplify29.0ms

prune46.0ms

localize11.0ms

rewrite30.0ms

series46.0ms

simplify25.0ms

prune69.0ms

localize14.0ms

rewrite42.0ms

series72.0ms

simplify33.0ms

prune90.0ms

regimes376.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling