Details

analyze38.0ms (2.9%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample26.0ms (2.1%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify156.0ms (12.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms (0.1%)

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

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_4121`
12×	`times-frac_binary64_4127`
10×	`add-sqr-sqrt_binary64_4142` `add-cube-cbrt_binary64_4153`
4×	`associate-/r*_binary64_4067` `distribute-lft-out_binary64_4074`
3×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `associate-/l*_binary64_4068`
2×	`associate-/r/_binary64_4069`
1×	`div-exp_binary64_4169` `div-inv_binary64_4118` `cbrt-undiv_binary64_4152` `add-log-exp_binary64_4157` `flip-+_binary64_4095` `frac-2neg_binary64_4132` `pow1_binary64_4179` `flip3-+_binary64_4124` `clear-num_binary64_4120`

Counts

1 → 33

Calls

1 calls:

6.0ms

(/.f64 x (+.f64 x y))

series56.0ms (4.3%)

Counts

1 → 3

Calls

1 calls:

55.0ms

(/.f64 x (+.f64 x y))

simplify64.0ms (5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6097	431

prune19.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

Compiler

Compiled 379 to 99 computations (73.9% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
0.2b	(/.f64 (+.f64 x y) (sqrt.f64 x))

rewrite59.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Rules

360×	`times-frac_binary64_4127`
280×	`*-un-lft-identity_binary64_4121`
186×	`sqrt-prod_binary64_4136`
182×	`add-sqr-sqrt_binary64_4142` `add-cube-cbrt_binary64_4153`
49×	`distribute-lft-out_binary64_4074`
34×	`associate-/r*_binary64_4067`
10×	`associate-/l*_binary64_4068`
9×	`div-inv_binary64_4118` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
4×	`div-exp_binary64_4169` `cbrt-undiv_binary64_4152`
2×	`associate-/l/_binary64_4070` `add-log-exp_binary64_4157` `frac-2neg_binary64_4132` `pow1_binary64_4179` `clear-num_binary64_4120`
1×	`associate-/r/_binary64_4069` `flip-+_binary64_4095` `flip3-+_binary64_4124`

Counts

2 → 265

Calls

2 calls:

14.0ms	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
7.0ms	(/.f64 (+.f64 x y) (sqrt.f64 x))

series142.0ms (11.1%)

Counts

2 → 6

Calls

2 calls:

87.0ms	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
55.0ms	(/.f64 (+.f64 x y) (sqrt.f64 x))

simplify132.0ms (10.3%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4917	6186
1	4917	6186

prune170.0ms (13.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	271	2	273

Merged error: 0b

Counts

273 → 2

Compiler

Compiled 4598 to 817 computations (82.2% saved)

regimes23.0ms (1.8%)

Compiler: Compiled 56 to 46 computations (17.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample372.0ms (29.1%)

Algorithm

1×

intervals

Results

173.0ms

8000×

body

128

valid

Compiler

Compiled 25 to 21 computations (16% saved)

Details

analyze38.0ms (2.9%)

sample26.0ms (2.1%)

simplify156.0ms (12.2%)

prune2.0ms (0.1%)

localize3.0ms (0.3%)

rewrite9.0ms (0.7%)

series56.0ms (4.3%)

simplify64.0ms (5%)

prune19.0ms (1.5%)

localize6.0ms (0.4%)

rewrite59.0ms (4.6%)

series142.0ms (11.1%)

simplify132.0ms (10.3%)

prune170.0ms (13.3%)

regimes23.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample372.0ms (29.1%)

Profiling