Details

analyze41.0ms (3%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
68.7%	31.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	14%	12.6%	8
74.1%	13.3%	12.6%	9
74.5%	6.6%	18.8%	10
74.7%	6.4%	18.8%	11
74.8%	3.2%	22%	12
74.9%	3.2%	22%	13
74.9%	1.6%	23.5%	14

sample16.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify477.0ms (34.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	228	7
1	228	7

prune7.0ms (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

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x x) y)

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
2×	`add-sqr-sqrt_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` `difference-of-squares_binary64` `flip--_binary64`

Counts

1 → 12

Calls

1 calls:

7.0ms

(-.f64 (*.f64 x x) y)

series14.0ms (1%)

Counts

1 → 3

Calls

1 calls:

14.0ms

(-.f64 (*.f64 x x) y)

simplify58.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4808	111
1	4808	111

prune19.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x x) y)
0.0b	(sqrt.f64 (-.f64 (*.f64 x x) y))
0.0b	(sqrt.f64 (-.f64 (*.f64 x x) y))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))

rewrite39.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
30×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `swap-sqr_binary64` `flip--_binary64`
7×	`associate-r_binary64` `associate-l_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x x) y))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x x) y))
5.0ms	(-.f64 (*.f64 x x) y)

series27.0ms (2%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt.f64 (-.f64 (*.f64 x x) y))
8.0ms	(sqrt.f64 (-.f64 (*.f64 x x) y))
6.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))
5.0ms	(-.f64 (*.f64 x x) y)

simplify70.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4885	984
1	4885	984

prune111.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	2	118

Merged error: 0b

Counts

118 → 2

regimes166.0ms (12%)

Accuracy

Total 0.0b remaining (6.5%)

Threshold costs 0.0b (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample310.0ms (22.5%)

Algorithm

1×

intervals

Results

184.0ms	7999×	body	80	valid
3.0ms	148×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze41.0ms (3%)

sample16.0ms (1.1%)

simplify477.0ms (34.6%)

prune7.0ms (0.5%)

localize7.0ms (0.5%)

rewrite8.0ms (0.6%)

series14.0ms (1%)

simplify58.0ms (4.2%)

prune19.0ms (1.4%)

localize7.0ms (0.5%)

rewrite39.0ms (2.8%)

series27.0ms (2%)

simplify70.0ms (5.1%)

prune111.0ms (8%)

regimes166.0ms (12%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample310.0ms (22.5%)

Profiling