Details

analyze156.0ms (13.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	14
1	138	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
0%	99.9%	0.1%	4
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	34.3%	22%	7
46.8%	29.7%	23.5%	8
58.5%	17.2%	24.3%	9
60.5%	14.8%	24.7%	10
66.5%	8.6%	24.9%	11
67.6%	7.4%	25%	12
70.7%	4.3%	25%	13
71.2%	3.7%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample13.0ms (1.1%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify11.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	90	7
1	90	7

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 10 to 8 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 y y))

rewrite12.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_4891`
2×	`add-sqr-sqrt_binary64_4874`
1×	`diff-log_binary64_4944` `pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `flip3--_binary64_4856` `*-un-lft-identity_binary64_4852` `sub-neg_binary64_4845` `flip--_binary64_4827` `difference-of-squares_binary64_4821` `cancel-sign-sub-inv_binary64_4818`

Counts

1 → 13

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 y y))

Compiler

Compiled 152 to 47 computations (69.1% saved)

series76.0ms (6.7%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

70.0ms

(-.f64 x (*.f64 y y))

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify57.0ms (5%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5263	214

prune14.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

Counts

26 → 2

Compiler

Compiled 183 to 48 computations (73.8% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (sqrt.f64 x))
0.2b	(*.f64 (+.f64 y (sqrt.f64 x)) (-.f64 (sqrt.f64 x) y))

rewrite55.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
6×	`add-cube-cbrt_binary64_4887` `cancel-sign-sub-inv_binary64_4818` `associate-r_binary64_4792`
4×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `flip3-+_binary64_4855` `frac-times_binary64_4862` `flip-+_binary64_4826` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `associate-l_binary64_4793`
3×	`flip3--_binary64_4856` `flip--_binary64_4827`
2×	`sub-neg_binary64_4845` `associate-l/_binary64_4795` `associate-r/_binary64_4794` `distribute-lft-out_binary64_4803` `difference-of-squares_binary64_4821`
1×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `sqrt-prod_binary64_4868` `distribute-lft-out--_binary64_4804` `*-commutative_binary64_4783` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

2 → 50

Calls

2 calls:

12.0ms	(*.f64 (+.f64 y (sqrt.f64 x)) (-.f64 (sqrt.f64 x) y))
4.0ms	(+.f64 y (sqrt.f64 x))

Compiler

Compiled 941 to 195 computations (79.3% saved)

series153.0ms (13.4%)

Error

Counts

2 → 18

Calls

2 calls:

105.0ms	(*.f64 (+.f64 y (sqrt.f64 x)) (-.f64 (sqrt.f64 x) y))
41.0ms	(+.f64 y (sqrt.f64 x))

Compiler

Compiled 347 to 247 computations (28.8% saved)

simplify65.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5181	874

prune36.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Error

Counts

70 → 2

Compiler

Compiled 853 to 155 computations (81.8% saved)

regimes42.0ms (3.7%)

Accuracy

Total 0.0b remaining (44.8%)

Threshold costs 0.0b (44.8%)

Compiler

Compiled 132 to 110 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample444.0ms (38.8%)

Algorithm

1×

intervals

Results

152.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 39 to 33 computations (15.4% saved)

Details

analyze156.0ms (13.6%)

sample13.0ms (1.1%)

simplify11.0ms (0.9%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

rewrite12.0ms (1%)

series76.0ms (6.7%)

simplify57.0ms (5%)

prune14.0ms (1.2%)

localize5.0ms (0.5%)

rewrite55.0ms (4.8%)

series153.0ms (13.4%)

simplify65.0ms (5.7%)

prune36.0ms (3.1%)

regimes42.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample444.0ms (38.8%)

Profiling