Details

analyze210.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	20
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
37.5%	62.4%	0.1%	5
59.3%	40.6%	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 8 to 6 computations (25% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify70.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

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 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite47.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64_24630`
22×	`add-sqr-sqrt_binary64_24652`
20×	`times-frac_binary64_24636`
12×	`add-cube-cbrt_binary64_24665`
6×	`distribute-lft-out_binary64_24581`
5×	`difference-of-squares_binary64_24599` `distribute-lft-out--_binary64_24582` `associate-/l*_binary64_24575`
4×	`associate-/r*_binary64_24574`
3×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
2×	`associate-/l/_binary64_24577` `associate-/r/_binary64_24576`
1×	`pow1_binary64_24691` `div-exp_binary64_24681` `add-log-exp_binary64_24669` `cbrt-undiv_binary64_24664` `frac-2neg_binary64_24641` `div-sub_binary64_24635` `clear-num_binary64_24629` `div-inv_binary64_24627` `flip3--_binary64_24634` `flip--_binary64_24605` `flip3-+_binary64_24633` `flip-+_binary64_24604`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

Compiler

Compiled 725 to 165 computations (77.2% saved)

series75.0ms (2.9%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

65.0ms

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

Compiler

Compiled 330 to 289 computations (12.4% saved)

simplify69.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6658	930

prune42.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Error

Counts

62 → 2

Compiler

Compiled 776 to 199 computations (74.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite125.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

77×	`*-un-lft-identity_binary64_24630`
52×	`times-frac_binary64_24636`
43×	`add-sqr-sqrt_binary64_24652`
31×	`add-cube-cbrt_binary64_24665`
18×	`cancel-sign-sub-inv_binary64_24596`
15×	`distribute-lft-out_binary64_24581`
10×	`associate-/r/_binary64_24576`
8×	`associate-/r*_binary64_24574`
7×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666` `distribute-lft-out--_binary64_24582`
6×	`associate-/l*_binary64_24575`
5×	`add-log-exp_binary64_24669` `div-inv_binary64_24627` `flip3-+_binary64_24633` `flip-+_binary64_24604`
4×	`difference-of-squares_binary64_24599`
3×	`pow1_binary64_24691` `distribute-rgt-out--_binary64_24584`
2×	`div-exp_binary64_24681` `cbrt-undiv_binary64_24664` `frac-2neg_binary64_24641` `clear-num_binary64_24629`
1×	`diff-log_binary64_24722` `frac-sub_binary64_24639` `sub-div_binary64_24637` `flip3--_binary64_24634` `sub-neg_binary64_24623` `flip--_binary64_24605`

Counts

3 → 111

Calls

3 calls:

26.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
5.0ms	(/.f64 y (+.f64 x y))
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 2172 to 456 computations (79% saved)

series189.0ms (7.2%)

Error

Counts

3 → 39

Calls

3 calls:

74.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
49.0ms	(/.f64 y (+.f64 x y))
46.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1134 to 762 computations (32.8% saved)

simplify92.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4956	1910
1	4956	1910

prune87.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	150	2	152

Error

Counts

152 → 2

Compiler

Compiled 2220 to 457 computations (79.4% saved)

localize8.0ms (0.3%)

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

rewrite288.0ms (11%)

Algorithm

1×	rewrite-expression-head

Error

Rules

150×	`add-sqr-sqrt_binary64_24652`
147×	`*-un-lft-identity_binary64_24630`
134×	`times-frac_binary64_24636`
87×	`sqrt-prod_binary64_24646`
73×	`add-cube-cbrt_binary64_24665`
41×	`associate-r_binary64_24570`
32×	`add-exp-log_binary64_24668`
27×	`associate-l_binary64_24571`
20×	`add-cbrt-cube_binary64_24666`
19×	`distribute-lft-out_binary64_24581`
15×	`difference-of-squares_binary64_24599` `distribute-lft-out--_binary64_24582` `unswap-sqr_binary64_24598`
14×	`associate-/r*_binary64_24574`
11×	`div-exp_binary64_24681`
10×	`sqrt-div_binary64_24647`
9×	`pow1_binary64_24691`
8×	`associate-/r/_binary64_24576` `associate-/l*_binary64_24575` `prod-exp_binary64_24679`
6×	`cbrt-undiv_binary64_24664`
5×	`flip3-+_binary64_24633` `flip-+_binary64_24604`
4×	`add-log-exp_binary64_24669` `div-inv_binary64_24627` `cbrt-unprod_binary64_24663`
3×	`1-exp_binary64_24674` `rec-exp_binary64_24680` `pow-flip_binary64_24704`
2×	`frac-2neg_binary64_24641` `clear-num_binary64_24629` `associate-/l/_binary64_24577` `pow1/2_binary64_24710` `sqrt-pow1_binary64_24648`
1×	`div-sub_binary64_24635` `flip3--_binary64_24634` `flip--_binary64_24605` `pow-prod-down_binary64_24701` `frac-times_binary64_24640` `associate-l/_binary64_24573` `associate-r/_binary64_24572` `*-commutative_binary64_24561` `inv-pow_binary64_24715` `rem-sqrt-square_binary64_24643`

Counts

4 → 238

Calls

4 calls:

43.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))
10.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y)))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 x y)))
3.0ms	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 6094 to 1611 computations (73.6% saved)

series252.0ms (9.6%)

Error

Counts

4 → 40

Calls

4 calls:

74.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))
66.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y)))
49.0ms	(/.f64 1 (sqrt.f64 (+.f64 x y)))
41.0ms	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 1564 to 1136 computations (27.4% saved)

simplify105.0ms (4%)

Algorithm

1×	egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5045	4867

prune197.0ms (7.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	278	2	280

Error

Counts

280 → 2

Compiler

Compiled 5539 to 1300 computations (76.5% saved)

regimes84.0ms (3.2%)

Accuracy

Total 0.0b remaining (89.5%)

Threshold costs 0.0b (89.5%)

Compiler

Compiled 636 to 403 computations (36.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms (0%)

sample640.0ms (24.5%)

Algorithm

1×

intervals

Results

192.0ms

8000×

body

128

valid

Compiler

Compiled 217 to 136 computations (37.3% saved)

Details

analyze210.0ms (8.1%)

sample15.0ms (0.6%)

simplify70.0ms (2.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite47.0ms (1.8%)

series75.0ms (2.9%)

simplify69.0ms (2.6%)

prune42.0ms (1.6%)

localize6.0ms (0.2%)

rewrite125.0ms (4.8%)

series189.0ms (7.2%)

simplify92.0ms (3.5%)

prune87.0ms (3.3%)

localize8.0ms (0.3%)

rewrite288.0ms (11%)

series252.0ms (9.6%)

simplify105.0ms (4%)

prune197.0ms (7.6%)

regimes84.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample640.0ms (24.5%)

Profiling