Details

sample59.0ms

Algorithm

intervals

Results

42.0ms

256×

body

160

valid

simplify101.0ms

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

localize31.0ms

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)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
21×	`prod-diff`
17×	`unpow-prod-down`
9×	`add-exp-log`
7×	`fma-neg` `associate-r` `sqr-pow`
6×	`pow1` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `prod-exp` `fma-udef` `difference-of-squares` `unswap-sqr`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `associate--r+` `distribute-lft-out--`

Counts

4 → 95

Calls

4 calls:

7.0ms	(* 333.75 (pow 33096.0 6.0))
7.0ms	(- (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)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	319	1133
1	1019	808
2	5001	795

prune351.0ms

Filtered

99 candidates to 68 candidates (68.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	1	100

Merged error: 58.1b

Counts

100 → 1

localize34.0ms

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)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`prod-diff`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`unpow-prod-down`
7×	`fma-neg`
5×	`add-log-exp` `sqr-pow`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r+` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

7.0ms

(- (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)))))

simplify136.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	257	961
1	731	685
2	4326	672
3	5001	672

prune301.0ms

Filtered

70 candidates to 48 candidates (68.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	1	71

Merged error: 58.1b

Counts

71 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.4s

8000×

body

160

valid