Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

8.0ms

(* (+ a b) (+ a b))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* (+ a b) (+ a b))

simplify42.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	187	221
1	883	196
2	5002	178

prune41.0ms

Filtered

45 candidates to 20 candidates (44.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Merged error: 0b

Counts

46 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* b (+ a b)) (* a (+ a b)))
0.0b	(* b (+ a b))
0.0b	(* a (+ a b))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

19.0ms	(+ (* b (+ a b)) (* a (+ a b)))
6.0ms	(* b (+ a b))
6.0ms	(* a (+ a b))

series82.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (* b (+ a b)) (* a (+ a b)))
31.0ms	(* b (+ a b))
28.0ms	(* a (+ a b))

simplify74.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	365	444
1	2005	390
2	5002	387

prune110.0ms

Filtered

98 candidates to 57 candidates (58.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	3	0	3
Picked	0	1	1
Done	1	0	1
Total	100	3	103

Merged error: 0b

Counts

103 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ a b) a)
0.0b	(* b (+ (+ a b) a))
0.0b	(+ (* b (+ (+ a b) a)) (* a a))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

6.0ms	(+ (+ a b) a)
8.0ms	(* b (+ (+ a b) a))
21.0ms	(+ (* b (+ (+ a b) a)) (* a a))

series89.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (+ a b) a)
39.0ms	(* b (+ (+ a b) a))
27.0ms	(+ (* b (+ (+ a b) a)) (* a a))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	261	367
1	1102	322
2	5001	303

prune90.0ms

Filtered

78 candidates to 46 candidates (59.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0b

Counts

81 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b (+ a b)) (cbrt (pow (* a (+ a b)) 3)))
0.0b	(* a (+ a b))
0.5b	(cbrt (pow (* a (+ a b)) 3))
0.7b	(pow (* a (+ a b)) 3)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down`
25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`cbrt-prod`
14×	`add-cube-cbrt`
12×	`associate-r`
10×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`+-commutative` `distribute-lft-out`
4×	`distribute-rgt-in` `pow-unpow` `associate-+l+` `distribute-lft-in`
3×	`*-commutative` `unswap-sqr`
2×	`pow-pow` `flip3-+` `unpow3` `associate-*r/` `pow-prod-down` `pow-exp` `prod-exp` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `sum-log`

Counts

4 → 102

Calls

4 calls:

23.0ms	(+ (* b (+ a b)) (cbrt (pow (* a (+ a b)) 3)))
6.0ms	(* a (+ a b))
7.0ms	(cbrt (pow (* a (+ a b)) 3))
7.0ms	(pow (* a (+ a b)) 3)

series130.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* b (+ a b)) (cbrt (pow (* a (+ a b)) 3)))
35.0ms	(* a (+ a b))
29.0ms	(cbrt (pow (* a (+ a b)) 3))
42.0ms	(pow (* a (+ a b)) 3)

simplify99.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	382	550
1	2064	475
2	5002	465

prune140.0ms

Filtered

114 candidates to 69 candidates (60.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	114	3	117

Merged error: 0b

Counts

117 → 3

regimes29.0ms

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	11	5
1	11	5

end0.0ms

sample356.0ms

Algorithm

intervals

Results

120.0ms	8000×	pre	80	true
109.0ms	8000×	body	80	valid