Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	311×	body	80	valid
0.0ms	3×	body	640	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	19	6
1	40	5
2	123	4
3	249	4
4	355	4
5	355	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+r+`
6×	`+-commutative` `distribute-rgt-in` `distribute-lft-in`
4×	`associate-+l+`
2×	`associate-*r/`
1×	`flip3-+` `*-commutative` `flip-+`

Counts

1 → 15

Calls

1 calls:

5.0ms

(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify31.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	109	74
1	259	71
2	958	71
3	5002	71

prune27.0ms

Filtered

18 candidates to 10 candidates (55.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0.0b

Counts

20 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ (+ d3 5.0) 32.0))
0.0b	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`+-commutative`
8×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in`
3×	`*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-out` `distribute-lft-out`

Counts

2 → 24

Calls

2 calls:

4.0ms	(* d1 (+ (+ d3 5.0) 32.0))
6.0ms	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* d1 (+ (+ d3 5.0) 32.0))
36.0ms	(+ (* d1 d2) (* d1 (+ (+ d3 5.0) 32.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	160	115
1	506	107
2	2630	105
3	5001	105

prune57.0ms

Filtered

30 candidates to 20 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	30	3	33

Merged error: 0.0b

Counts

33 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
3.5b	(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
5.5b	(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
29.8b	(/ (* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))) (+ (* d2 d2) (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-*r/`
28×	`flip3-+` `flip-+`
16×	`frac-sub`
11×	`+-commutative`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-+l+` `associate--l+` `associate--r+`
6×	`associate-l/` `-commutative`
4×	`sub-div`
3×	`sum-cubes` `associate-/l*`
2×	`distribute-rgt-out--` `associate-r` `associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv`

Counts

4 → 66

Calls

4 calls:

13.0ms	(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
5.0ms	(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
6.0ms	(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
16.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))) (+ (* d2 d2) (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))
57.0ms	(+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))
149.0ms	(* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3)))
188.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ (+ d3 5.0) 32.0) 3))) (+ (* d2 d2) (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 (+ (+ d3 5.0) 32.0)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	750	1240
1	3434	1092
2	5001	1092

prune257.0ms

Filtered

78 candidates to 60 candidates (76.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

regimes69.0ms

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	15	5
1	15	5

end0.0ms

sample492.0ms

Algorithm

intervals

Results

285.0ms	10138×	body	80	valid
2.0ms	15×	body	640	valid
1.0ms	15×	body	320	valid
1.0ms	7×	body	1280	valid
0.0ms	7×	body	160	valid