Details

sample26.0ms

Algorithm

intervals

Results

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

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	41	3
2	76	3
3	103	3
4	103	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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
5×	`add-cube-cbrt` `associate-r`
4×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

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

series45.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ b c) d)
30.0ms	(* a (+ (+ b c) d))

simplify30.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	193
1	908	173
2	5001	173

prune88.0ms

Filtered

53 candidates to 38 candidates (71.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma d a (fma a b (* a c)))
1.0ms	(fma a b (* a c))

series67.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma d a (fma a b (* a c)))
35.0ms	(fma a b (* a c))

simplify31.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	98
1	149	86
2	790	86
3	5001	86

prune49.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
8×	`pow1` `add-cube-cbrt` `sqrt-prod`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `fma-udef`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `hypot-def` `distribute-lft-out`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

3.0ms	(sqrt (+ b c))
3.0ms	(sqrt (+ b c))
4.0ms	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
3.0ms	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

series298.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (+ b c))
37.0ms	(sqrt (+ b c))
112.0ms	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
114.0ms	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

simplify92.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	237	478
1	877	382
2	4265	367
3	5001	365

prune158.0ms

Filtered

82 candidates to 67 candidates (81.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `sqrt-prod`
18×	`sqrt-div`
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×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

6.0ms	(sqrt (+ (+ b c) d))
6.0ms	(sqrt (+ (+ b c) d))
9.0ms	(* a (sqrt (+ (+ b c) d)))
15.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (+ (+ b c) d))
51.0ms	(sqrt (+ (+ b c) d))
75.0ms	(* a (sqrt (+ (+ b c) d)))
63.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify62.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	369	775
1	1502	669
2	5002	642

prune180.0ms

Filtered

113 candidates to 77 candidates (68.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes149.0ms

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	8	3
1	8	3

end0.0ms

sample666.0ms

Algorithm

intervals

Results

292.0ms	8000×	pre	80	true
177.0ms	8000×	body	80	valid