Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify253.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

Iter	Nodes	Cost
0	4749	22
1	4749	22

prune1.0ms

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: 62.0b

Counts

2 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

62.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64` `sub-neg_binary64`
2×	`associate--r+_binary64`
1×	`*-un-lft-identity_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `add-sqr-sqrt_binary64` `insert-posit16` `flip--_binary64`

Counts

1 → 14

Calls

1 calls:

7.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

series235.0ms

Counts

1 → 3

Calls

1 calls:

235.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	5348	2700
0	150	9
1	150	9
0	5348	2700
0	150	9
1	150	9
0	1	3
1	1	3

simplify92.0ms

Counts

17 → 17

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5341	412

prune19.0ms

Filtered

14 candidates to 17 candidates (-21.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	1	18

Merged error: 52.0b

Counts

18 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

23.0b

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `insert-posit16` `flip--_binary64`

Counts

1 → 12

Calls

1 calls:

7.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series158.0ms

Counts

1 → 3

Calls

1 calls:

158.0ms

(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	2586	2619
1	2586	2619
0	105	9
1	105	9
0	2586	2619
1	2586	2619
0	105	9
1	105	9
0	1	3
1	1	3

simplify127.0ms

Counts

15 → 15

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5300	229

prune17.0ms

Filtered

12 candidates to 15 candidates (-25.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	1	16

Merged error: 52.0b

Counts

16 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`unpow-prod-down_binary64` `cube-prod_binary64`
2×	`cbrt-div_binary64` `pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64` `insert-posit16` `flip--_binary64`
1×	`sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

2 → 36

Calls

2 calls:

9.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
8.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series381.0ms

Counts

2 → 6

Calls

2 calls:

224.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
157.0ms	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	2586	2619
1	2586	2619
0	105	9
1	105	9
0	2586	2619
1	2586	2619
0	105	9
1	105	9
0	1	3
1	1	3
0	4998	2619
1	4998	2619
0	105	9
1	105	9
0	4998	2619
1	4998	2619
0	105	9
1	105	9
0	1	3
1	1	3

simplify70.0ms

Counts

42 → 42

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5128	784

prune39.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	1	43

Merged error: 52.0b

Counts

43 → 1

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	61	27
1	61	27

end0.0ms

sample540.0ms

Algorithm

intervals

Results

305.0ms	8000×	body	80	valid
136.0ms	8000×	pre	80	true

Details

analyze2.0ms

sample19.0ms

simplify253.0ms

prune1.0ms

localize12.0ms

rewrite8.0ms

series235.0ms

simplify92.0ms

prune19.0ms

localize11.0ms

rewrite8.0ms

series158.0ms

simplify127.0ms

prune17.0ms

localize14.0ms

rewrite18.0ms

series381.0ms

simplify70.0ms

prune39.0ms

simplify7.0ms

end0.0ms

sample540.0ms

Profiling