Details

sample46.0ms

Algorithm

intervals

Results

30.0ms

447×

body

valid

simplify114.0ms

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

prune5.0ms

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

localize30.0ms

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)

rewrite16.0ms

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)

series107.0ms

Counts

4 → 10

Calls

4 calls:

28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
32.0ms	(* (* (fabs x) (fabs x)) (fabs x))
47.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify65.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	109	101
1	472	101
2	2288	101
3	5001	97

prune90.0ms

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

localize30.0ms

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)

rewrite16.0ms

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)

series107.0ms

Counts

4 → 10

Calls

4 calls:

28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
51.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify104.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	59
1	198	59
2	740	59
3	1713	59
4	4365	59
5	5001	59

prune82.0ms

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

simplify2.0ms

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

925.0ms

13927×

body

valid