Details

analyze120.0ms (6.8%)

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
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 (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify119.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	321	13
1	321	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 18 computations (0% saved)

localize6.0ms (0.3%)

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 (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_7261`
13×	`*-un-lft-identity_binary64_7239` `cancel-sign-sub-inv_binary64_7205` `times-frac_binary64_7245`
11×	`add-cube-cbrt_binary64_7274`
7×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
4×	`add-log-exp_binary64_7278`
3×	`associate-/r*_binary64_7183`
2×	`div-inv_binary64_7236` `cbrt-undiv_binary64_7273` `div-exp_binary64_7290` `difference-of-squares_binary64_7208` `pow1_binary64_7300`
1×	`flip3--_binary64_7243` `cbrt-unprod_binary64_7272` `flip--_binary64_7214` `frac-sub_binary64_7248` `frac-2neg_binary64_7250` `prod-exp_binary64_7288` `associate-/l*_binary64_7184` `distribute-lft-out--_binary64_7191` `sub-neg_binary64_7232` `diff-log_binary64_7331` `clear-num_binary64_7238`

Counts

2 → 49

Calls

2 calls:

11.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
4.0ms	(/.f64 (*.f64 x y) 2)

series197.0ms (11.2%)

Counts

2 → 24

Calls

2 calls:

149.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
47.0ms	(/.f64 (*.f64 x y) 2)

Compiler

Compiled 307 to 320 computations (-4.2% saved)

simplify82.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4975	780
1	4975	780

prune49.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 816 to 504 computations (38.2% saved)

localize11.0ms (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)))

rewrite44.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`times-frac_binary64_7245`
45×	`add-sqr-sqrt_binary64_7261`
37×	`*-un-lft-identity_binary64_7239`
29×	`add-exp-log_binary64_7277`
28×	`add-cube-cbrt_binary64_7274`
17×	`add-cbrt-cube_binary64_7275`
14×	`div-exp_binary64_7290`
13×	`cancel-sign-sub-inv_binary64_7205`
8×	`associate-/r*_binary64_7183` `div-inv_binary64_7236`
7×	`cbrt-undiv_binary64_7273`
6×	`associate-/l*_binary64_7184` `difference-of-squares_binary64_7208`
5×	`add-log-exp_binary64_7278`
4×	`prod-exp_binary64_7288` `pow1_binary64_7300`
3×	`1-exp_binary64_7283` `distribute-lft-out--_binary64_7191` `rec-exp_binary64_7289`
2×	`cbrt-unprod_binary64_7272` `frac-2neg_binary64_7250` `clear-num_binary64_7238`
1×	`flip3--_binary64_7243` `pow-flip_binary64_7313` `flip--_binary64_7214` `frac-sub_binary64_7248` `inv-pow_binary64_7324` `associate-/r/_binary64_7185` `sub-neg_binary64_7232` `diff-log_binary64_7331`

Counts

3 → 111

Calls

3 calls:

24.0ms	(-.f64 (/.f64 1 (/.f64 2 (*.f64 x y))) (/.f64 z 8))
7.0ms	(/.f64 1 (/.f64 2 (*.f64 x y)))
4.0ms	(/.f64 2 (*.f64 x y))

series263.0ms (14.9%)

Counts

3 → 30

Calls

3 calls:

145.0ms	(-.f64 (/.f64 1 (/.f64 2 (*.f64 x y))) (/.f64 z 8))
60.0ms	(/.f64 2 (*.f64 x y))
58.0ms	(/.f64 1 (/.f64 2 (*.f64 x y)))

Compiler

Compiled 439 to 452 computations (-3% saved)

simplify83.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4993	1725
1	4993	1725

prune104.0ms (5.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	141	2	143

Error

Counts

143 → 2

Compiler

Compiled 1909 to 1271 computations (33.4% saved)

regimes98.0ms (5.6%)

Accuracy

Total 0.0b remaining (13.3%)

Threshold costs 0.0b (13.3%)

Compiler

Compiled 641 to 570 computations (11.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms (0%)

sample550.0ms (31.2%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
14.0ms	514×	body	128	invalid

Compiler

Compiled 104 to 94 computations (9.6% saved)

Details

analyze120.0ms (6.8%)

sample16.0ms (0.9%)

simplify119.0ms (6.7%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite19.0ms (1.1%)

series197.0ms (11.2%)

simplify82.0ms (4.6%)

prune49.0ms (2.8%)

localize11.0ms (0.6%)

rewrite44.0ms (2.5%)

series263.0ms (14.9%)

simplify83.0ms (4.7%)

prune104.0ms (5.9%)

regimes98.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample550.0ms (31.2%)

Profiling