Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

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

sample24.0ms (1.9%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify81.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4785	15
1	4785	15

prune6.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 52.0b

Counts

2 → 1

localize11.0ms (0.8%)

Local error

Found 1 expressions with local error:

23.0b

(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

6.0ms

(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series78.0ms (6.2%)

Counts

1 → 3

Calls

1 calls:

77.0ms

(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify40.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4855	188
1	4855	188

prune37.0ms (2.9%)

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: 52.0b

Counts

15 → 1

localize14.0ms (1.1%)

Local error

Found 2 expressions with local error:

1.0b	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
23.0b	(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite13.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`unpow-prod-down` `cube-prod`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--`
1×	`cube-mult` `sub-neg` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 34

Calls

2 calls:

7.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
6.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series147.0ms (11.7%)

Counts

2 → 6

Calls

2 calls:

74.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4.0))
73.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))

simplify53.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4928	577
1	4928	577

prune100.0ms (7.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	1	41

Merged error: 52.0b

Counts

41 → 1

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	18
1	28	18

end0.0ms (0%)

sample648.0ms (51.4%)

Algorithm

1×

intervals

Results

409.0ms	8000×	body	80	valid
146.0ms	8000×	pre	80	true

Details

analyze3.0ms (0.3%)

sample24.0ms (1.9%)

simplify81.0ms (6.4%)

prune6.0ms (0.5%)

localize11.0ms (0.8%)

rewrite6.0ms (0.5%)

series78.0ms (6.2%)

simplify40.0ms (3.2%)

prune37.0ms (2.9%)

localize14.0ms (1.1%)

rewrite13.0ms (1.1%)

series147.0ms (11.7%)

simplify53.0ms (4.2%)

prune100.0ms (7.9%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample648.0ms (51.4%)

Profiling