Details

sample50.0ms

Algorithm

intervals

Results

34.0ms

436×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	70	42
1	252	42
2	1059	42
3	4713	42
4	5001	42

prune4.0ms

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: 0.2b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-l`
16×	`associate-r`
13×	`*-commutative`
6×	`associate-*l/`
2×	`frac-2neg` `pow3` `clear-num` `div-inv`
1×	`pow2` `pow-plus` `pow1/2`

Counts

4 → 33

Calls

4 calls:

4.0ms	(* (* (fabs x) (fabs x)) (fabs x))
13.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
6.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series154.0ms

Counts

4 → 10

Calls

4 calls:

28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
77.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify88.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	162	196
1	715	174
2	3458	160
3	5001	156

prune135.0ms

Filtered

43 candidates to 24 candidates (55.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.1b

Counts

44 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-commutative`
7×	`associate-l`
4×	`associate-r` `pow3`
3×	`associate-*l/`
2×	`pow2` `pow-plus`
1×	`frac-2neg` `pow1/2` `clear-num` `div-inv`

Counts

4 → 22

Calls

4 calls:

4.0ms	(* (* (fabs x) (fabs x)) (fabs x))
4.0ms	(* (* (fabs x) (fabs x)) (fabs x))
6.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series106.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
33.0ms	(* (* (fabs x) (fabs x)) (fabs x))
46.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify56.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	109	92
1	471	92
2	2187	92
3	5001	88

prune95.0ms

Filtered

32 candidates to 15 candidates (46.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0.1b

Counts

36 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-commutative`
7×	`associate-l`
4×	`associate-r` `pow3`
3×	`associate-*l/`
2×	`pow2` `pow-plus`
1×	`frac-2neg` `pow1/2` `clear-num` `div-inv`

Counts

4 → 22

Calls

4 calls:

4.0ms	(* (* (fabs x) (fabs x)) (fabs x))
4.0ms	(* (* (fabs x) (fabs x)) (fabs x))
6.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series103.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
49.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify70.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	107	98
1	509	98
2	2714	98
3	5001	94

prune88.0ms

Filtered

32 candidates to 15 candidates (46.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	32	4	36

Merged error: 0.1b

Counts

36 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-commutative`
7×	`associate-l`
4×	`associate-r` `pow3`
3×	`associate-*l/`
2×	`pow2` `pow-plus`
1×	`frac-2neg` `pow1/2` `clear-num` `div-inv`

Counts

4 → 22

Calls

4 calls:

4.0ms	(* (* (fabs x) (fabs x)) (fabs x))
4.0ms	(* (* (fabs x) (fabs x)) (fabs x))
6.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series108.0ms

Counts

4 → 10

Calls

4 calls:

31.0ms	(* (* (fabs x) (fabs x)) (fabs x))
27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
50.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify63.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	112	94
1	485	94
2	2316	94
3	5001	90

prune83.0ms

Filtered

32 candidates to 15 candidates (46.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	32	4	36

Merged error: 0.1b

Counts

36 → 4

regimes175.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	33
1	40	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

14065×

body

valid