Details

sample60.0ms

Algorithm

intervals

Results

39.0ms

256×

body

160

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	81	21
1	267	19
2	1006	18
3	4044	18
4	5001	18

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 58.1b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(* 333.75 (pow 33096.0 6.0))
1.0b	(- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0))
1.0b	(fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))
58.1b	(fma (* 77617.0 77617.0) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0))) (+ (* 333.75 (pow 33096.0 6.0)) (fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
2×	`sqr-pow`
1×	`sub-neg` `flip3--` `fma-neg` `associate-r` `*-commutative` `flip--` `associate--r+`

Counts

4 → 10

Calls

4 calls:

3.0ms	(* 333.75 (pow 33096.0 6.0))
4.0ms	(- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0))
1.0ms	(fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))
1.0ms	(fma (* 77617.0 77617.0) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0))) (+ (* 333.75 (pow 33096.0 6.0)) (fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* 333.75 (pow 33096.0 6.0))
0.0ms	(- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0))
0.0ms	(fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))
0.0ms	(fma (* 77617.0 77617.0) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0))) (+ (* 333.75 (pow 33096.0 6.0)) (fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	112	130
1	331	125
2	1328	124
3	5001	124

prune54.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Merged error: 58.1b

Counts

15 → 1

localize24.0ms

Local error

Found 3 expressions with local error:

1.0b

(- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0))

1.0b

(fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))

63.0b

(fma 77617.0 (* 77617.0 (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0)))) (fma 333.75 (pow 33096.0 6.0) (fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
1×	`sub-neg` `flip3--` `fma-neg` `flip--` `associate--r+` `sqr-pow`

Counts

3 → 8

Calls

3 calls:

3.0ms

(- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0))

1.0ms

(fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))

1.0ms

(fma 77617.0 (* 77617.0 (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0)))) (fma 333.75 (pow 33096.0 6.0) (fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))))

series0.0ms

Counts

3 → 3

Calls

3 calls:

0.0ms

(- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0))

0.0ms

(fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))

0.0ms

(fma 77617.0 (* 77617.0 (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0) (fma (pow 33096.0 4.0) -121.0 -2.0)))) (fma 333.75 (pow 33096.0 6.0) (fma (pow 33096.0 8.0) 5.5 (/ 77617.0 (* 2.0 33096.0)))))

simplify40.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	106	106
1	308	105
2	1180	104
3	5001	104

prune41.0ms

Filtered

11 candidates to 7 candidates (63.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	1	12

Merged error: 58.1b

Counts

12 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	17
1	31	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.2s

8000×

body

160

valid