Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	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 1 expressions with local error:

0.1b	(* 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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

8.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify103.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	151	122
1	779	108
2	4782	108
3	5001	108

prune59.0ms

Filtered

29 candidates to 22 candidates (75.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize7.0ms

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))

series68.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify29.0ms

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

prune65.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

1.0ms	(fma d a (+ (* a b) (* a c)))
4.0ms	(+ (* a b) (* a c))

series63.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma d a (+ (* a b) (* a c)))
33.0ms	(+ (* a b) (* a c))

simplify58.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	123	149
1	480	126
2	2075	124
3	5001	124

prune77.0ms

Filtered

31 candidates to 26 candidates (83.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

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)))

rewrite40.0ms

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)))
16.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (+ (+ b c) d))
49.0ms	(sqrt (+ (+ b c) d))
75.0ms	(* a (sqrt (+ (+ b c) d)))
67.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (36.0ms)

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

prune215.0ms

Filtered

113 candidates to 77 candidates (68.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes124.0ms

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	16	4
1	18	4
2	18	4

end0.0ms

sample522.0ms

Algorithm

intervals

Results

188.0ms	8000×	pre	80	true
142.0ms	8000×	body	80	valid