Details

analyze35.0ms (2.8%)

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)

sample10.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify177.0ms (14.1%)

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))

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_11087`
12×	`times-frac_binary64_11093`
10×	`add-cube-cbrt_binary64_11122` `add-sqr-sqrt_binary64_11109`
4×	`associate-/r*_binary64_11031` `distribute-lft-out_binary64_11038`
3×	`add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125` `associate-/l*_binary64_11032`
2×	`associate-/r/_binary64_11033`
1×	`clear-num_binary64_11086` `add-log-exp_binary64_11126` `div-exp_binary64_11138` `pow1_binary64_11148` `flip-+_binary64_11061` `frac-2neg_binary64_11098` `div-inv_binary64_11084` `flip3-+_binary64_11090` `cbrt-undiv_binary64_11121`

Counts

1 → 33

Calls

1 calls:

6.0ms

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

series54.0ms (4.3%)

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify63.0ms (5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5149	431

prune24.0ms (1.9%)

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 408 to 122 computations (70.1% saved)

localize5.0ms (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))

rewrite56.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

360×	`times-frac_binary64_11093`
280×	`*-un-lft-identity_binary64_11087`
186×	`sqrt-prod_binary64_11103`
182×	`add-cube-cbrt_binary64_11122` `add-sqr-sqrt_binary64_11109`
49×	`distribute-lft-out_binary64_11038`
34×	`associate-/r*_binary64_11031`
10×	`associate-/l*_binary64_11032`
9×	`add-cbrt-cube_binary64_11123` `add-exp-log_binary64_11125` `div-inv_binary64_11084`
4×	`div-exp_binary64_11138` `cbrt-undiv_binary64_11121`
2×	`associate-/l/_binary64_11034` `clear-num_binary64_11086` `add-log-exp_binary64_11126` `pow1_binary64_11148` `frac-2neg_binary64_11098`
1×	`flip-+_binary64_11061` `flip3-+_binary64_11090` `associate-/r/_binary64_11033`

Counts

2 → 265

Calls

2 calls:

15.0ms	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
7.0ms	(/.f64 (+.f64 x y) (sqrt.f64 x))

series152.0ms (12.1%)

Counts

2 → 6

Calls

2 calls:

93.0ms	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
59.0ms	(/.f64 (+.f64 x y) (sqrt.f64 x))

simplify126.0ms (10%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5135	6186

prune168.0ms (13.4%)

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)

regimes24.0ms (1.9%)

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

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%)

sample347.0ms (27.6%)

Algorithm

1×

intervals

Results

160.0ms

8000×

body

128

valid

Compiler

Compiled 25 to 21 computations (16% saved)

Details

analyze35.0ms (2.8%)

sample10.0ms (0.8%)

simplify177.0ms (14.1%)

prune2.0ms (0.1%)

localize3.0ms (0.3%)

rewrite8.0ms (0.6%)

series54.0ms (4.3%)

simplify63.0ms (5%)

prune24.0ms (1.9%)

localize5.0ms (0.4%)

rewrite56.0ms (4.5%)

series152.0ms (12.1%)

simplify126.0ms (10%)

prune168.0ms (13.4%)

regimes24.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample347.0ms (27.6%)

Profiling