Details

sample46.0ms

Algorithm

intervals

Results

30.0ms

447×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	42
1	231	42
2	900	42
3	3753	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: 0.1b

Counts

2 → 1

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)

series102.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
32.0ms	(* (* (fabs x) (fabs x)) (fabs x))
44.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify61.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	108	101
1	451	101
2	2095	101
3	5002	97

prune85.0ms

Filtered

32 candidates to 15 candidates (46.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	1	33

Merged error: 0.1b

Counts

33 → 1

localize27.0ms

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)

series99.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
26.0ms	(* (* (fabs x) (fabs x)) (fabs x))
47.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify99.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	59
1	198	59
2	739	59
3	1712	59
4	4359	59
5	5001	59

prune81.0ms

Filtered

32 candidates to 13 candidates (40.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	1	33

Merged error: 0.1b

Counts

33 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	39
1	47	39

end0.0ms

sample1.1s

Algorithm

intervals

Results

965.0ms

13927×

body

valid