Details

analyze119.0ms (8.6%)

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
0%	99.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample16.0ms (1.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify114.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	321	13
1	321	13

prune2.0ms (0.2%)

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 18 computations (0% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x y) 2)
0.0b	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

rewrite19.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_6238`
13×	`*-un-lft-identity_binary64_6216` `cancel-sign-sub-inv_binary64_6182` `times-frac_binary64_6222`
11×	`add-cube-cbrt_binary64_6251`
7×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
4×	`add-log-exp_binary64_6255`
3×	`associate-/r*_binary64_6160`
2×	`div-inv_binary64_6213` `difference-of-squares_binary64_6185` `cbrt-undiv_binary64_6250` `div-exp_binary64_6267` `pow1_binary64_6277`
1×	`clear-num_binary64_6215` `flip3--_binary64_6220` `distribute-lft-out--_binary64_6168` `prod-exp_binary64_6265` `diff-log_binary64_6308` `frac-2neg_binary64_6227` `associate-/l*_binary64_6161` `sub-neg_binary64_6209` `cbrt-unprod_binary64_6249` `flip--_binary64_6191` `frac-sub_binary64_6225`

Counts

2 → 49

Calls

2 calls:

12.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
4.0ms	(/.f64 (*.f64 x y) 2)

series48.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
15.0ms	(/.f64 (*.f64 x y) 2)

simplify81.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4975	630
1	4975	630

prune39.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 698 to 441 computations (36.8% saved)

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 1 (/.f64 2 (*.f64 x y))) (/.f64 z 8))
0.2b	(/.f64 2 (*.f64 x y))
0.6b	(/.f64 1 (/.f64 2 (*.f64 x y)))

rewrite46.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`times-frac_binary64_6222`
45×	`add-sqr-sqrt_binary64_6238`
37×	`*-un-lft-identity_binary64_6216`
29×	`add-exp-log_binary64_6254`
28×	`add-cube-cbrt_binary64_6251`
17×	`add-cbrt-cube_binary64_6252`
14×	`div-exp_binary64_6267`
13×	`cancel-sign-sub-inv_binary64_6182`
8×	`div-inv_binary64_6213` `associate-/r*_binary64_6160`
7×	`cbrt-undiv_binary64_6250`
6×	`difference-of-squares_binary64_6185` `associate-/l*_binary64_6161`
5×	`add-log-exp_binary64_6255`
4×	`prod-exp_binary64_6265` `pow1_binary64_6277`
3×	`rec-exp_binary64_6266` `1-exp_binary64_6260` `distribute-lft-out--_binary64_6168`
2×	`clear-num_binary64_6215` `frac-2neg_binary64_6227` `cbrt-unprod_binary64_6249`
1×	`pow-flip_binary64_6290` `associate-/r/_binary64_6162` `flip3--_binary64_6220` `diff-log_binary64_6308` `sub-neg_binary64_6209` `inv-pow_binary64_6301` `flip--_binary64_6191` `frac-sub_binary64_6225`

Counts

3 → 111

Calls

3 calls:

25.0ms	(-.f64 (/.f64 1 (/.f64 2 (*.f64 x y))) (/.f64 z 8))
9.0ms	(/.f64 1 (/.f64 2 (*.f64 x y)))
4.0ms	(/.f64 2 (*.f64 x y))

series62.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(-.f64 (/.f64 1 (/.f64 2 (*.f64 x y))) (/.f64 z 8))
16.0ms	(/.f64 1 (/.f64 2 (*.f64 x y)))
13.0ms	(/.f64 2 (*.f64 x y))

simplify81.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4993	1554
1	4993	1554

prune96.0ms (7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Error

Counts

122 → 2

Compiler

Compiled 1758 to 1187 computations (32.5% saved)

regimes92.0ms (6.7%)

Accuracy

Total 0.0b remaining (12.4%)

Threshold costs 0.0b (12.4%)

Compiler

Compiled 585 to 493 computations (15.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms (0%)

sample552.0ms (39.9%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
18.0ms	514×	body	128	invalid

Compiler

Compiled 96 to 83 computations (13.5% saved)

Details

analyze119.0ms (8.6%)

sample16.0ms (1.2%)

simplify114.0ms (8.2%)

prune2.0ms (0.2%)

localize6.0ms (0.4%)

rewrite19.0ms (1.4%)

series48.0ms (3.4%)

simplify81.0ms (5.9%)

prune39.0ms (2.8%)

localize9.0ms (0.6%)

rewrite46.0ms (3.3%)

series62.0ms (4.5%)

simplify81.0ms (5.8%)

prune96.0ms (7%)

regimes92.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample552.0ms (39.9%)

Profiling