Details

analyze32.0ms (1%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify311.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (213.0ms)

Iter	Nodes	Cost
0	2142	13
1	2142	13

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_21902`
40×	`add-sqr-sqrt_binary64_21924`
30×	`times-frac_binary64_21908`
19×	`distribute-lft-out--_binary64_21854`
14×	`add-cube-cbrt_binary64_21937`
13×	`difference-of-squares_binary64_21871`
6×	`distribute-lft-out_binary64_21853` `associate-/r*_binary64_21846`
5×	`associate-/l*_binary64_21847`
3×	`add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
2×	`associate-/r/_binary64_21848` `flip--_binary64_21877` `flip3--_binary64_21906` `associate-/l/_binary64_21849`
1×	`clear-num_binary64_21901` `div-inv_binary64_21899` `div-sub_binary64_21907` `frac-2neg_binary64_21913` `pow1_binary64_21963` `div-exp_binary64_21953` `add-log-exp_binary64_21941` `cbrt-undiv_binary64_21936`

Counts

1 → 58

Calls

1 calls:

10.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series31.0ms (1%)

Counts

1 → 3

Calls

1 calls:

31.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5165	1357

prune54.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Error

Counts

62 → 3

Compiler

Compiled 1112 to 469 computations (57.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
0.1b	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))

rewrite52.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

292×	`*-un-lft-identity_binary64_21902`
258×	`times-frac_binary64_21908`
214×	`add-sqr-sqrt_binary64_21924`
100×	`add-cube-cbrt_binary64_21937`
83×	`distribute-lft-out--_binary64_21854`
57×	`difference-of-squares_binary64_21871`
41×	`associate-/r*_binary64_21846`
26×	`distribute-lft-out_binary64_21853`
15×	`add-exp-log_binary64_21940`
11×	`associate-/r/_binary64_21848`
9×	`add-cbrt-cube_binary64_21938` `associate-/l*_binary64_21847`
8×	`div-exp_binary64_21953`
6×	`div-inv_binary64_21899` `flip--_binary64_21877` `flip3--_binary64_21906`
4×	`cbrt-undiv_binary64_21936`
3×	`pow1_binary64_21963`
2×	`clear-num_binary64_21901` `rec-exp_binary64_21952` `frac-2neg_binary64_21913` `1-exp_binary64_21946` `add-log-exp_binary64_21941` `associate-/l/_binary64_21849`
1×	`inv-pow_binary64_21987` `pow-flip_binary64_21976` `div-sub_binary64_21907`

Counts

2 → 226

Calls

2 calls:

17.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
10.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))

series103.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

70.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
33.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))

simplify102.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5428	5907

prune200.0ms (6.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	232	3	235

Error

Counts

235 → 3

Compiler

Compiled 4765 to 2179 computations (54.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 2 (+.f64 x y)))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))

rewrite35.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64_21902`
47×	`add-sqr-sqrt_binary64_21924`
38×	`times-frac_binary64_21908`
24×	`associate-r_binary64_21842` `add-cube-cbrt_binary64_21937`
15×	`distribute-lft-out--_binary64_21854` `add-exp-log_binary64_21940`
9×	`add-cbrt-cube_binary64_21938`
8×	`difference-of-squares_binary64_21871`
7×	`distribute-lft-out_binary64_21853`
6×	`associate-/r*_binary64_21846`
5×	`pow1_binary64_21963` `associate-l_binary64_21843`
4×	`associate-/r/_binary64_21848` `prod-exp_binary64_21951` `flip--_binary64_21877` `div-exp_binary64_21953` `flip3--_binary64_21906`
3×	`associate-/l*_binary64_21847` `unswap-sqr_binary64_21870`
2×	`cbrt-unprod_binary64_21935` `rec-exp_binary64_21952` `div-inv_binary64_21899` `associate-*l/_binary64_21845` `frac-times_binary64_21912` `1-exp_binary64_21946` `add-log-exp_binary64_21941` `cbrt-undiv_binary64_21936`
1×	`inv-pow_binary64_21987` `pow-flip_binary64_21976` `clear-num_binary64_21901` `pow-prod-down_binary64_21973` `associate-r/_binary64_21844` `frac-2neg_binary64_21913` `un-div-inv_binary64_21900` `-commutative_binary64_21833`

Counts

2 → 98

Calls

2 calls:

20.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))
7.0ms	(/.f64 1 (-.f64 2 (+.f64 x y)))

series55.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))
24.0ms	(/.f64 1 (-.f64 2 (+.f64 x y)))

simplify71.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5257	1620

prune83.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Error

Counts

107 → 3

Compiler

Compiled 1769 to 925 computations (47.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))
0.1b	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
0.3b	(/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))

rewrite110.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

235×	`*-un-lft-identity_binary64_21902`
205×	`add-sqr-sqrt_binary64_21924`
143×	`times-frac_binary64_21908`
120×	`sqrt-prod_binary64_21918`
65×	`difference-of-squares_binary64_21871`
58×	`add-cube-cbrt_binary64_21937`
56×	`associate-r_binary64_21842`
54×	`distribute-lft-out--_binary64_21854`
43×	`distribute-lft-out_binary64_21853`
32×	`add-exp-log_binary64_21940`
24×	`associate-l_binary64_21843`
20×	`add-cbrt-cube_binary64_21938`
16×	`associate-/r*_binary64_21846`
11×	`div-exp_binary64_21953`
8×	`associate-/r/_binary64_21848` `prod-exp_binary64_21951` `associate-/l*_binary64_21847`
7×	`pow1_binary64_21963`
6×	`add-log-exp_binary64_21941` `cbrt-undiv_binary64_21936` `unswap-sqr_binary64_21870`
4×	`cbrt-unprod_binary64_21935` `div-inv_binary64_21899`
3×	`rec-exp_binary64_21952` `flip3-+_binary64_21905` `flip--_binary64_21877` `flip-+_binary64_21876` `1-exp_binary64_21946` `flip3--_binary64_21906`
2×	`clear-num_binary64_21901` `frac-2neg_binary64_21913` `associate-/l/_binary64_21849`
1×	`inv-pow_binary64_21987` `pow-flip_binary64_21976` `pow-prod-down_binary64_21973` `+-commutative_binary64_21832` `div-sub_binary64_21907` `associate-l/_binary64_21845` `associate-r/_binary64_21844` `frac-times_binary64_21912` `sum-log_binary64_21993` `*-commutative_binary64_21833`

Counts

4 → 251

Calls

4 calls:

50.0ms	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))))
13.0ms	(/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
9.0ms	(/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
7.0ms	(+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))

series755.0ms (23.3%)

Counts

4 → 12

Calls

4 calls:

376.0ms	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))))
194.0ms	(/.f64 (-.f64 x y) (-.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
157.0ms	(/.f64 1 (+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y))))
27.0ms	(+.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 x y)))

simplify121.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5303	7516

prune355.0ms (11%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	263	3	266

Error

Counts

266 → 3

Compiler

Compiled 7948 to 3950 computations (50.3% saved)

regimes74.0ms (2.3%)

Accuracy

Total 0.0b remaining (78.2%)

Threshold costs 0.0b (78.2%)

Compiler

Compiled 675 to 468 computations (30.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	22
1	45	22

end0.0ms (0%)

sample578.0ms (17.8%)

Algorithm

1×

intervals

Results

216.0ms	7999×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 237 to 164 computations (30.8% saved)

Details

analyze32.0ms (1%)

sample13.0ms (0.4%)

simplify311.0ms (9.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite15.0ms (0.5%)

series31.0ms (1%)

simplify59.0ms (1.8%)

prune54.0ms (1.7%)

localize7.0ms (0.2%)

rewrite52.0ms (1.6%)

series103.0ms (3.2%)

simplify102.0ms (3.1%)

prune200.0ms (6.2%)

localize7.0ms (0.2%)

rewrite35.0ms (1.1%)

series55.0ms (1.7%)

simplify71.0ms (2.2%)

prune83.0ms (2.5%)

localize11.0ms (0.3%)

rewrite110.0ms (3.4%)

series755.0ms (23.3%)

simplify121.0ms (3.7%)

prune355.0ms (11%)

regimes74.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample578.0ms (17.8%)

Profiling