Details

analyze224.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	7	14
0	2	2
1	2	2

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)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_10308`
12×	`times-frac_binary64_10314`
10×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330`
4×	`associate-/r*_binary64_10252` `distribute-lft-out_binary64_10259`
3×	`associate-/l*_binary64_10253` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
2×	`associate-/r/_binary64_10254`
1×	`clear-num_binary64_10307` `add-log-exp_binary64_10347` `div-exp_binary64_10359` `flip-+_binary64_10282` `pow1_binary64_10369` `flip3-+_binary64_10311` `div-inv_binary64_10305` `frac-2neg_binary64_10319` `cbrt-undiv_binary64_10342`

Counts

1 → 33

Calls

1 calls:

10.0ms

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

series139.0ms (4.3%)

Counts

1 → 24

Calls

1 calls:

139.0ms

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

Compiler

Compiled 300 to 252 computations (16% saved)

simplify126.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4962	794
1	4962	794

prune66.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Error

Counts

58 → 3

Compiler

Compiled 636 to 201 computations (68.4% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) x)
0.3b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite48.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_10314`
92×	`*-un-lft-identity_binary64_10308`
60×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330`
19×	`associate-/r*_binary64_10252`
16×	`distribute-lft-out_binary64_10259`
15×	`add-exp-log_binary64_10346`
9×	`add-cbrt-cube_binary64_10344`
8×	`div-exp_binary64_10359`
7×	`associate-/l*_binary64_10253`
6×	`div-inv_binary64_10305`
4×	`cbrt-undiv_binary64_10342`
3×	`pow1_binary64_10369`
2×	`1-exp_binary64_10352` `associate-/l/_binary64_10255` `clear-num_binary64_10307` `add-log-exp_binary64_10347` `rec-exp_binary64_10358` `frac-2neg_binary64_10319`
1×	`inv-pow_binary64_10393` `flip-+_binary64_10282` `associate-/r/_binary64_10254` `flip3-+_binary64_10311` `pow-flip_binary64_10382`

Counts

2 → 121

Calls

2 calls:

16.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
11.0ms	(/.f64 (+.f64 x y) x)

series281.0ms (8.8%)

Counts

2 → 36

Calls

2 calls:

142.0ms	(/.f64 (+.f64 x y) x)
139.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))

Compiler

Compiled 408 to 366 computations (10.3% saved)

simplify148.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5036	2365

prune169.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	157	3	160

Error

Counts

160 → 3

Compiler

Compiled 1967 to 625 computations (68.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 x y)))
0.1b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
0.2b	(/.f64 x (sqrt.f64 (+.f64 x y)))

rewrite136.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`add-sqr-sqrt_binary64_10330`
106×	`times-frac_binary64_10314`
101×	`*-un-lft-identity_binary64_10308`
71×	`sqrt-prod_binary64_10324`
65×	`add-cube-cbrt_binary64_10343`
32×	`add-exp-log_binary64_10346`
27×	`associate-r_binary64_10248` `associate-l_binary64_10249`
20×	`add-cbrt-cube_binary64_10344`
15×	`distribute-lft-out_binary64_10259` `unswap-sqr_binary64_10276`
14×	`associate-/r*_binary64_10252`
11×	`div-exp_binary64_10359`
10×	`sqrt-div_binary64_10325`
9×	`pow1_binary64_10369`
8×	`prod-exp_binary64_10357` `associate-/r/_binary64_10254`
6×	`associate-/l*_binary64_10253` `cbrt-undiv_binary64_10342`
5×	`flip-+_binary64_10282` `flip3-+_binary64_10311`
4×	`cbrt-unprod_binary64_10341` `add-log-exp_binary64_10347` `div-inv_binary64_10305`
3×	`1-exp_binary64_10352` `rec-exp_binary64_10358` `pow-flip_binary64_10382`
2×	`sqrt-pow1_binary64_10326` `clear-num_binary64_10307` `frac-2neg_binary64_10319` `pow1/2_binary64_10388`
1×	`rem-sqrt-square_binary64_10321` `associate-r/_binary64_10250` `inv-pow_binary64_10393` `associate-l/_binary64_10251` `pow-prod-down_binary64_10379` `frac-times_binary64_10318` `*-commutative_binary64_10239`

Counts

4 → 205

Calls

4 calls:

57.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
13.0ms	(/.f64 1 (sqrt.f64 (+.f64 x y)))
12.0ms	(/.f64 x (sqrt.f64 (+.f64 x y)))
6.0ms	(sqrt.f64 (+.f64 x y))

series422.0ms (13.2%)

Counts

4 → 49

Calls

4 calls:

145.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))
114.0ms	(/.f64 x (sqrt.f64 (+.f64 x y)))
83.0ms	(/.f64 1 (sqrt.f64 (+.f64 x y)))
79.0ms	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 1170 to 951 computations (18.7% saved)

simplify175.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5023	3841

prune309.0ms (9.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	254	3	257

Error

Counts

257 → 3

Compiler

Compiled 4338 to 1212 computations (72.1% saved)

regimes91.0ms (2.8%)

Accuracy

Total 0.0b remaining (73.5%)

Threshold costs 0.0b (73.5%)

Compiler

Compiled 203 to 175 computations (13.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample780.0ms (24.4%)

Algorithm

1×

intervals

Results

286.0ms

8000×

body

128

valid

Compiler

Compiled 74 to 64 computations (13.5% saved)

Details

analyze224.0ms (7%)

sample19.0ms (0.6%)

simplify12.0ms (0.4%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite14.0ms (0.4%)

series139.0ms (4.3%)

simplify126.0ms (3.9%)

prune66.0ms (2.1%)

localize12.0ms (0.4%)

rewrite48.0ms (1.5%)

series281.0ms (8.8%)

simplify148.0ms (4.6%)

prune169.0ms (5.3%)

localize14.0ms (0.4%)

rewrite136.0ms (4.2%)

series422.0ms (13.2%)

simplify175.0ms (5.5%)

prune309.0ms (9.7%)

regimes91.0ms (2.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample780.0ms (24.4%)

Profiling