Details

analyze58.0ms (6.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample12.0ms (1.4%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify5.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune5.0ms (0.5%)

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: 0.0b

Counts

2 → 1

localize4.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))

rewrite5.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

series7.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

simplify28.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5532	131

prune18.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize13.0ms (1.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 y y))
2.1b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
31.1b	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))

rewrite35.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

95×	`add-sqr-sqrt_binary64`
70×	`difference-of-squares_binary64`
56×	`times-frac_binary64`
48×	`unpow-prod-down_binary64`
47×	`*-un-lft-identity_binary64`
36×	`sqr-pow_binary64`
23×	`add-cube-cbrt_binary64`
14×	`associate-/l*_binary64`
12×	`distribute-lft-out--_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 125

Calls

3 calls:

15.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
8.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))

series38.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
11.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
8.0ms	(-.f64 (.f64 x x) (.f64 y y))

simplify64.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5679	2425

prune143.0ms (16%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Merged error: 0b

Counts

136 → 2

regimes155.0ms (17.4%)

Accuracy

Total 0.0b remaining (41.5%)

Threshold costs 0.0b (41.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample303.0ms (33.9%)

Algorithm

1×

intervals

Results

181.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze58.0ms (6.5%)

sample12.0ms (1.4%)

simplify5.0ms (0.5%)

prune5.0ms (0.5%)

localize4.0ms (0.5%)

rewrite5.0ms (0.5%)

series7.0ms (0.8%)

simplify28.0ms (3.1%)

prune18.0ms (2%)

localize13.0ms (1.4%)

rewrite35.0ms (3.9%)

series38.0ms (4.2%)

simplify64.0ms (7.1%)

prune143.0ms (16%)

regimes155.0ms (17.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample303.0ms (33.9%)

Profiling