Details

sample22.0ms

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))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify95.0ms

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

prune55.0ms

Filtered

29 candidates to 22 candidates (75.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize9.0ms

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)))
34.0ms	(fma a b (* a c))

simplify28.0ms

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 20 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

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

series143.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* (sqrt a) (+ (+ b c) d))
51.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify38.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	266	376
1	1338	319
2	5002	313

prune100.0ms

Filtered

65 candidates to 44 candidates (67.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	65	3	68

Merged error: 0b

Counts

68 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma d a (fma a b (* a c)))
0.0b	(fma a b (* a c))
0.5b	(pow (fma d a (fma a b (* a c))) 3)
16.4b	(cbrt (pow (fma d a (fma a b (* a c))) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

1.0ms	(fma d a (fma a b (* a c)))
1.0ms	(fma a b (* a c))
2.0ms	(pow (fma d a (fma a b (* a c))) 3)
2.0ms	(cbrt (pow (fma d a (fma a b (* a c))) 3))

series503.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma d a (fma a b (* a c)))
36.0ms	(fma a b (* a c))
398.0ms	(pow (fma d a (fma a b (* a c))) 3)
36.0ms	(cbrt (pow (fma d a (fma a b (* a c))) 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	173	413
1	758	389
2	5002	381

prune135.0ms

Filtered

80 candidates to 50 candidates (62.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	80	3	83

Merged error: 0b

Counts

83 → 3

regimes103.0ms

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

sample508.0ms

Algorithm

intervals

Results

174.0ms	8000×	pre	80	true
148.0ms	8000×	body	80	valid